| {"image": "images/maze_00000.png", "rows": 20, "cols": 20, "cell_size": 32, "wall_width": 4, "margin": 8, "num_openings": 7, "openings": [{"label": "A", "side": "right", "index": 2, "is_connected": false}, {"label": "B", "side": "left", "index": 10, "is_connected": false}, {"label": "C", "side": "bottom", "index": 15, "is_connected": false}, {"label": "D", "side": "left", "index": 2, "is_connected": false}, {"label": "E", "side": "left", "index": 15, "is_connected": true}, {"label": "F", "side": "top", "index": 2, "is_connected": true}, {"label": "G", "side": "bottom", "index": 2, "is_connected": false}], "connected_pair": ["E", "F"], "question": "The image shows a maze with several labeled openings on its border. Exactly one pair of openings is connected by a path through the maze; all other pairs are blocked by walls. Identify the connected pair. A path exists only if you can travel from one opening to another through corridors without crossing any wall. Report the connected pair in alphabetical order, formatted as X-Y. Provide your final answer enclosed in <answer>...</answer> tags.", "answer": "E-F", "path_length": 178, "difficulty": "hard"} | |
| {"image": "images/maze_00001.png", "rows": 20, "cols": 20, "cell_size": 32, "wall_width": 4, "margin": 8, "num_openings": 5, "openings": [{"label": "A", "side": "top", "index": 17, "is_connected": false}, {"label": "B", "side": "bottom", "index": 15, "is_connected": false}, {"label": "C", "side": "bottom", "index": 8, "is_connected": true}, {"label": "D", "side": "left", "index": 3, "is_connected": false}, {"label": "E", "side": "top", "index": 11, "is_connected": true}], "connected_pair": ["C", "E"], "question": "The image shows a maze with several labeled openings on its border. Exactly one pair of openings is connected by a path through the maze; all other pairs are blocked by walls. Identify the connected pair. A path exists only if you can travel from one opening to another through corridors without crossing any wall. Report the connected pair in alphabetical order, formatted as X-Y. Provide your final answer enclosed in <answer>...</answer> tags.", "answer": "C-E", "path_length": 155, "difficulty": "hard"} | |
| {"image": "images/maze_00002.png", "rows": 20, "cols": 20, "cell_size": 32, "wall_width": 4, "margin": 8, "num_openings": 7, "openings": [{"label": "A", "side": "bottom", "index": 16, "is_connected": true}, {"label": "B", "side": "right", "index": 17, "is_connected": false}, {"label": "C", "side": "left", "index": 7, "is_connected": false}, {"label": "D", "side": "top", "index": 17, "is_connected": false}, {"label": "E", "side": "bottom", "index": 14, "is_connected": false}, {"label": "F", "side": "top", "index": 2, "is_connected": false}, {"label": "G", "side": "top", "index": 3, "is_connected": true}], "connected_pair": ["A", "G"], "question": "The image shows a maze with several labeled openings on its border. Exactly one pair of openings is connected by a path through the maze; all other pairs are blocked by walls. Identify the connected pair. A path exists only if you can travel from one opening to another through corridors without crossing any wall. Report the connected pair in alphabetical order, formatted as X-Y. Provide your final answer enclosed in <answer>...</answer> tags.", "answer": "A-G", "path_length": 161, "difficulty": "hard"} | |
| {"image": "images/maze_00003.png", "rows": 20, "cols": 20, "cell_size": 32, "wall_width": 4, "margin": 8, "num_openings": 7, "openings": [{"label": "A", "side": "right", "index": 13, "is_connected": false}, {"label": "B", "side": "top", "index": 10, "is_connected": false}, {"label": "C", "side": "bottom", "index": 12, "is_connected": true}, {"label": "D", "side": "top", "index": 17, "is_connected": false}, {"label": "E", "side": "left", "index": 15, "is_connected": false}, {"label": "F", "side": "bottom", "index": 16, "is_connected": false}, {"label": "G", "side": "right", "index": 5, "is_connected": true}], "connected_pair": ["C", "G"], "question": "The image shows a maze with several labeled openings on its border. Exactly one pair of openings is connected by a path through the maze; all other pairs are blocked by walls. Identify the connected pair. A path exists only if you can travel from one opening to another through corridors without crossing any wall. Report the connected pair in alphabetical order, formatted as X-Y. Provide your final answer enclosed in <answer>...</answer> tags.", "answer": "C-G", "path_length": 168, "difficulty": "hard"} | |
| {"image": "images/maze_00004.png", "rows": 20, "cols": 20, "cell_size": 32, "wall_width": 4, "margin": 8, "num_openings": 6, "openings": [{"label": "A", "side": "right", "index": 7, "is_connected": false}, {"label": "B", "side": "top", "index": 8, "is_connected": true}, {"label": "C", "side": "right", "index": 17, "is_connected": true}, {"label": "D", "side": "left", "index": 9, "is_connected": false}, {"label": "E", "side": "right", "index": 16, "is_connected": false}, {"label": "F", "side": "top", "index": 3, "is_connected": false}], "connected_pair": ["B", "C"], "question": "The image shows a maze with several labeled openings on its border. Exactly one pair of openings is connected by a path through the maze; all other pairs are blocked by walls. Identify the connected pair. A path exists only if you can travel from one opening to another through corridors without crossing any wall. Report the connected pair in alphabetical order, formatted as X-Y. Provide your final answer enclosed in <answer>...</answer> tags.", "answer": "B-C", "path_length": 135, "difficulty": "hard"} | |