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Target Perception
2
Choose how the given 3D structure's projections match with the target projections.
Easy
Medium
This is a state in a 3D reconstruction game. Given: - A 3x3x3 grid structure containing voxels - A image containing the voxel structure and its target projections (possibly not the projections of the given structure) Game Rules: 1. Grid Space: The game is played on a 3x3x3 cube grid. 2. Coordinates: Position (x,y,z) ...
4
[ "Neither Y-Z projection nor X-Z projection matches the target", "Only Y-Z projection matches the target", "Only X-Z projection matches the target", "Both Y-Z and X-Z projections match the target" ]
3d_reconstruction
3D Spatial Perception & Reasoning
Target Perception
2
Ask the number of enemies in a row
Medium
Easy
The given image represents a simplified interface of the game Space Invaders. The enemy area is implicitly divided into a grid of cells, with the row and column numbers shown on the left and top sides of the grid respectively which you should strictly follow. Each cell is either empty or occupied by an incoming enemy w...
5
[ "0", "1", "2", "3", "4", "5", "6", "7" ]
space_invaders
Strategy Planning
State Prediction
2
Questions about predicting the number of live cells after 1 iteration
Medium
Medium
Conway's Game of Life is a cellular automaton where each cell in the grid can be either alive (black) or dead (white). Each cell interacts with its eight neighbors, which are the cells that are horizontally, vertically, or diagonally adjacent. For a cell at position (r,c), its neighbors are: - (r-1,c-1) (r-1,c) (r-...
D
[ "A: 7", "B: 9", "C: 14", "D: 5", "E: 12", "F: 6", "G: 11", "H: 0" ]
lifegame
Multi-step Reasoning
Target Perception
3
Check cell state
Medium
Easy
This is a Minesweeper game. The size of the chessboard is 5x5, and there are a total of 5 mines hidden on the board. The numbers on the board indicate how many mines are adjacent to that cell, including diagonals. Cells marked with "F" (flagged) are identified as potential locations of mines based on logical deduction...
C
[ "A. It is revealed and shows a number. ", "B. It is flagged as mine. ", "C. It is still hidden. ", "D. It is revealed and shows no more information." ]
minesweeper
Multi-step Reasoning
State Prediction
3
main_path
Medium
Medium
Rules: 1. Player can only walk on top of cubes 2. Player can climb ladders if they can reach the cube under the ladder 3. From a ladder, player can reach the top of the last cube with the ladder 4. Blue cube is start position, red cube is goal position 5. Numbered cubes are branch points Which ...
5
[ "1", "1, 2, 3, 4", "1, 4", "1, 3, 4", "2", "None", "1, 2, 3", "2, 3, 4" ]
3d_maze
3D Spatial Perception & Reasoning
State Prediction
1
sequence_finding
Easy
Medium
Rules: 1. Player can only walk on top of cubes 2. Player can climb ladders if they can reach the cube under the ladder 3. From a ladder, player can reach the top of the last cube with the ladder 4. Blue cube is start position, red cube is goal position 5. Green cubes are numbered checkpoints What is the correct sequen...
2
[ "Start -> 1 -> 4 -> 2 -> 3 -> Goal", "Start -> 2 -> 4 -> 1 -> 3 -> Goal", "Start -> 3 -> 1 -> 2 -> 4 -> Goal", "Start -> 3 -> 1 -> 4 -> 2 -> Goal", "Start -> 1 -> 3 -> 4 -> 2 -> Goal", "Start -> 3 -> 2 -> 4 -> 1 -> Goal" ]
3d_maze
3D Spatial Perception & Reasoning
Strategy Optimization
5
Determine optimal move
Easy
Hard
This is a Minesweeper game. The size of the chessboard is 4x4, and there are a total of 3 mines hidden on the board. The numbers on the board indicate how many mines are adjacent to that cell, including diagonals. Cells marked with "F" (flagged) are identified as potential locations of mines based on logical deduction...
E
[ "A. Flag this cell as a mine. ", "B. Reveal this cell. ", "C. Analyze adjacent cells for potential mines according to the number on it. ", "D. Skip this move and wait for more information. ", "E. This cell has already been revealed, and no further action is required. ", "F. This cell has already been flag...
minesweeper
Multi-step Reasoning
Target Perception
1
Identify the current position and direction of the ant
Medium
Easy
In Langton's Ant, we have a grid where each cell is either white or black. A red arrow represents an ant, showing its current position and direction. The ant follows these simple rules: 1. If the ant is on a white cell, it turns right 90 degrees, changes the cell to black, and moves forward one step 2. If the ant is on...
H
[ "Position (8, 5), facing up", "Position (7, 5), facing up", "Position (0, 3), facing left", "Position (7, 4), facing up", "Position (1, 2), facing left", "Position (0, 0), facing right", "Position (8, 7), facing up", "Position (7, 1), facing left" ]
langton_ant
Multi-step Reasoning
Target Perception
2
Given current state and an index of a region.You should idectify which cell provided in the options belongs the region.
Medium
Easy
We have a 6*6 grid.The grid is divided into 6 regions. Cells with the same color belong to the same region. Region with index 0 has the color of light pink. Region with index 1 has the color of powder blue. Region with index 2 has the color of light green. Region with index 3 has the color of peach. Region with index ...
2
[ "(1,3)", "(2,1)", "(3,5)", "(3,2)", "(5,4)", "(4,3)", "(4,4)", "(5,3)" ]
star_battle
Multi-step Reasoning
Strategy Optimization
2
Questions about the optimal strategy to take a move of the current player of the board.
Hard
Medium
Principles: Tic-Tac-Toe is a classic two-player game played on a 3x3 grid, (row, col) from (0, 0) to (2, 2). Players take turns marking a space in the grid, one using **O** (the red block) and the other using **X** (the blue block). In each game, player **O** starts first. The objective is to be the first to get three ...
A
[ "A.None", "B.(0, 0)", "C.(0, 1)", "D.(0, 2)", "E.(1, 0)", "F.(1, 1)", "G.(1, 2)", "H.(2, 0) or (2, 1) or (2, 2)" ]
tictactoe
Strategy Planning
State Prediction
2
A deadlock question about the current state of Klondike Solitaire
Hard
Medium
The given image represents the interface of the game Klondike Solitaire. The user interface consists of a board with 52 playing cards divided into four distinct areas: 1. **Stock Pile (Draw Pile):** Initially composed of 24 face-down cards. The player can draw one card at a time to reveal its face. 2. **Waste Pile (...
6
[ "Draw pile and waste pile are NOT both empty AND Existing cards can be moved to foundation piles AND No tableau pile move can reveal a hidden card or empty a tableau pile, so the game is NOT in a deadlock.", "Draw pile and waste pile are both empty AND No cards can be moved to foundation piles AND No tableau pile...
klondike
Pattern Recognition & Matching
State Prediction
2
Questions about predicting the number of live cells after 1 iteration
Hard
Medium
Conway's Game of Life is a cellular automaton where each cell in the grid can be either alive (black) or dead (white). Each cell interacts with its eight neighbors, which are the cells that are horizontally, vertically, or diagonally adjacent. For a cell at position (r,c), its neighbors are: - (r-1,c-1) (r-1,c) (r-...
D
[ "A: 22", "B: 15", "C: 2", "D: 5", "E: 11", "F: 7", "G: 3", "H: 6" ]
lifegame
Multi-step Reasoning
State Prediction
9
which of the following positions is available to place a new tent?
Hard
Medium
This is a Tents puzzle. In this game, you will start with a grid that only marks the positions of the trees, the number of tents that should be in each row, and the number of tents that should be in each column. Your goal is to place the tents step by step on the grid according to the following rules until there are no...
1
[ "[7, 10]", "[11, 9]", "[3, 10]", "[12, 0]", "[5, 11]", "[12, 11]", "[1, 3]", "[5, 8]" ]
tents
Multi-step Reasoning
Target Perception
1
Check color state at position
Hard
Easy
This is a sudoku game in which the board is filled with a total number of colours equal to the length of the board's sides, and no rows, columns or squares are allowed to have duplicate colours.You should fill the empty cells on the board with following 9 colors: red, green, blue, magenta, yellow, aqua, gray, purple, f...
I
[ "A.red", "B.green", "C.blue", "D.magenta", "E.yellow", "F.aqua", "G.gray", "H.purple", "I.forest green" ]
sudoku
Multi-step Reasoning
Target Perception
3
Given current state and a region,Your task is to indentify which cell provided by options belongs to this region and has been placed a star.
Hard
Easy
We have a 8*8 grid.The grid is divided into 8 regions. Cells with the same color belong to the same region. Region with index 0 has the color of light pink. Region with index 1 has the color of powder blue. Region with index 2 has the color of light green. Region with index 3 has the color of peach. Region with index ...
8
[ "(5,1)", "(0,1)", "(6,2)", "(1,0)", "(7,1)", "(4,5)", "(4,2)", "null" ]
star_battle
Multi-step Reasoning
Strategy Optimization
3
Find the path to the goal
Easy
Medium
**Rules:** 1. This is a maze mini-game.The player needs to navigate around obstacles to reach the destination and achieve victory. 2. The red circle represents the player, the green block is the goal and the blue blocks are obstacles. 3. The player can only move within the white blocks. **Question:** Which sequence of...
B
[ "A. right, up, left, right, left, left, right, up, up, right, down, left, down", "B. right, right, down, down, down, down, down, down, left, left, left, left", "C. right, up, up, up, down, left, right, up, right, up, right, left, down", "D. down, down, up, down, left, down, down, left, down, right, up, down, ...
maze
Strategy Planning
Target Perception
1
color_description
Hard
Easy
Rules: 1. Colors change gradually along rows or columns. 2. A gradient transitions between two colors. 3. Each row or column can have its own independent gradient pattern. 4. Row and column indexes begin from 1 at the top-left corner. Question: What color is the cell at row 2, column 4? Options: 1: vivid red 2: pale...
6
[ "vivid red", "pale purple", "vivid cyan", "vivid bright red", "vivid purple", "red", "purple", "black" ]
hue
Pattern Recognition & Matching
State Prediction
1
Select a coordinate and determine whether a ball can be placed at this coordinate. If so, what would happen after the place of the ball.
Hard
Medium
Pyramid Chess Rules: 0.Game Board: The game board is square and comes in various sizes: 3x3, 4x4, or 5x5. On an nxn board, there are n levels (0 to n-1). At each level k, the x and y coordinates range from 0 to n-1-k, resulting in (n-k)**2 slots per level. The slots in the lower levels act as the base for the slots in ...
3
[ "Can place and no balls taken", "Can place and then balls can be taken", "Cannot place, position already occupied", "Cannot place, ball not ready below" ]
pyramidchess
3D Spatial Perception & Reasoning
State Prediction
2
Given the current game state, identify which of the following moves is valid according to FreeCell rules.
Hard
Medium
In this FreeCell game: we have 4 cascade piles at sum, and their indexes are [0, 1, 2, 3]We have 4 freecell on the left top, and their indexes are 0,1,2,3.We have 4 foundation piles on the right top, and their indexes are 0,1,2,3.In FreeCell, cards must be moved according to specific rules: 1. Cards in cascade piles mu...
3
[ "Move (Club,1) from FreeCell 1 to Cascade 2", "Move (Club,9) from FreeCell 1 to FreeCell 2", "Move (Club,10) from Cascade 0 to FreeCell 3", "Move (Diamond,10) from FreeCell 0 to Cascade 1" ]
freecell
Pattern Recognition & Matching
Target Perception
3
Given current state and a region,Your task is to indentify which cell provided by options belongs to this region and has been placed a star.
Hard
Easy
We have a 8*8 grid.The grid is divided into 8 regions. Cells with the same color belong to the same region. Region with index 0 has the color of light pink. Region with index 1 has the color of powder blue. Region with index 2 has the color of light green. Region with index 3 has the color of peach. Region with index ...
3
[ "(3,1)", "(4,0)", "(3,2)", "(2,2)", "(3,0)", "(2,1)", "(4,2)", "(2,3)" ]
star_battle
Multi-step Reasoning
State Prediction
3
Given a particular game state,a selected move and a selected cascade pile, the puzzle will present a question about which card is at the top of the cascade pile. Your task is to indentify the card in the options.
Medium
Hard
In this FreeCell game: we have 6 cascade piles, and their indexes are [0, 1, 2, 3, 4, 5]We have 4 freecell on the left top, and their indexes are 0,1,2,3.We have 4 foundation piles on the right top, and their indexes are 0,1,2,3.In FreeCell, cards can be moved according to specific rules: A card can be moved to a free ...
5
[ "(Diamond, J)", "(Spade, 2)", "(Club, 7)", "(Heart, 5)", "(Diamond, 2)", "(Heart, J)", "(Heart, A)", "(Diamond, K)" ]
freecell
Pattern Recognition & Matching
Strategy Optimization
5
Asking the next move that can lead to solving the puzzle
Medium
Hard
This game is called Chess Ranger. The rules are as follows:Pieces move like in standard chess.You can only perform capture moves.The king is allowed to be captured.The goal is to end up with a single piece remaining on the board.The possible first step to be tried is the following 4 steps: 1.move Rook in d7 to capture ...
E
[ "A.24", "B.1", "C.2", "D.12", "E.14", "F.13", "G.134", "H.None" ]
chess_ranger
Strategy Planning
Target Perception
4
piece_adjacency
Medium
Medium
Rules: 1. Each numbered region represents a piece on the board. 2. Pieces are considered adjacent if they share at least one edge. 3. Pieces that only touch at corners are not considered adjacent. Question: How many different pieces are adjacent to Piece 3? Options: 1: 0 2: 7 3: 3 4: 2 5: 4 6: 5 7: 6 8: 1
4
[ "0", "7", "3", "2", "4", "5", "6", "1" ]
tengram
Pattern Recognition & Matching
State Prediction
5
Ask the points gained by shooting once where the ship is
Easy
Easy
The given image represents a simplified interface of the game Space Invaders. The enemy area is implicitly divided into a grid of cells, with the row and column numbers shown on the left and top sides of the grid respectively which you should strictly follow. Each cell is either empty or occupied by an incoming enemy w...
1
[ "10", "20", "30", "0" ]
space_invaders
Strategy Planning
State Prediction
2
Predict the cube state after performing specific moves
Medium
Medium
Rules: As shown in the figure, the Rubik's cube consists of both 3D views and an unfolded view. The 3D views show the cube from two angles: left-tilted 30 degrees looking down, and right-tilted ,30 degrees looking up. The cube has six faces: Upper (U), Down (D), Left (L), Right (R), Front (F), and Back (B). Each face c...
2
[ "white", "blue", "orange", "red", "gray", "green", "purple", "magenta" ]
rubiks_cube
3D Spatial Perception & Reasoning
State Prediction
4
Predict card move result
Medium
Medium
Spider Solitaire # OBJECTIVE Spider is played with eight decks of 13 spade cards each, totaling 104 unique cards. The goal is to arrange all cards in a King-to-Ace sequence in the same suit and move them to the foundation piles. Once all sequences are moved to the foundations, the game is won. # SETUP The game featu...
B
[ "A. The move will be successful, and the cards will be in descending order, following the rules of movement.", "B. The move cannot be made because this card is face-down and its value is unknown.", "C. The move cannot be made because there is a card above it, and that card does not form a descending order with ...
spider_solitaire
Pattern Recognition & Matching
Target Perception
5
Count specific colors on a face
Easy
Easy
Rules: As shown in the figure, the Rubik's cube consists of both 3D views and an unfolded view. The 3D views show the cube from two angles: left-tilted 30 degrees looking down, and right-tilted ,30 degrees looking up. The cube has six faces: Upper (U), Down (D), Left (L), Right (R), Front (F), and Back (B). Each face c...
6
[ "0", "8", "1", "7", "2", "9", "5", "6" ]
rubiks_cube
3D Spatial Perception & Reasoning
Strategy Optimization
3
Find the path to the goal
Hard
Medium
**Rules:** 1. This is a maze mini-game.The player needs to navigate around obstacles to reach the destination and achieve victory. 2. The red circle represents the player, the green block is the goal and the blue blocks are obstacles. 3. The player can only move within the white blocks. **Question:** Which sequence of...
C
[ "A. up, right, down, left, up, right, up, right, left, down, left, left, up, down, right, left, down, up, down, up, down", "B. right, down, down, left, right, down, right, left, up, up, down, right, up, down, left, up, right, right, up, left, left", "C. down, down, left, left, down, down, right, right, right, r...
maze
Strategy Planning
State Prediction
1
sequence_finding
Easy
Medium
Rules: 1. Player can only walk on top of cubes 2. Player can climb ladders if they can reach the cube under the ladder 3. From a ladder, player can reach the top of the last cube with the ladder 4. Blue cube is start position, red cube is goal position 5. Green cubes are numbered checkpoints What is the correct sequen...
2
[ "Start -> 3 -> 2 -> 4 -> 1 -> Goal", "Start -> 2 -> 4 -> 1 -> 3 -> Goal", "Start -> 4 -> 2 -> 3 -> 1 -> Goal", "Start -> 4 -> 3 -> 2 -> 1 -> Goal", "Start -> 3 -> 4 -> 1 -> 2 -> Goal", "Start -> 3 -> 2 -> 1 -> 4 -> Goal" ]
3d_maze
3D Spatial Perception & Reasoning
Strategy Optimization
2
Questions about the optimal strategy to take a move of the current player of the board.
Easy
Medium
Principles: Tic-Tac-Toe is a classic two-player game played on a 3x3 grid, (row, col) from (0, 0) to (2, 2). Players take turns marking a space in the grid, one using **O** (the red block) and the other using **X** (the blue block). In each game, player **O** starts first. The objective is to be the first to get three ...
D
[ "A.None", "B.(0, 0)", "C.(0, 1)", "D.(0, 2)", "E.(1, 0)", "F.(1, 1)", "G.(1, 2)", "H.(2, 0) or (2, 1) or (2, 2)" ]
tictactoe
Strategy Planning
State Prediction
2
symbol_at_position
Easy
Medium
Rules: State 0, Symbol 0 -> Write 2, Move right, New State 0 State 0, Symbol 1 -> Write 1, Move up, New State 1 State 0, Symbol 2 -> Write 0, Move right, New State 0 State 0, Symbol 3 -> Write 3, Move left, New State 0 State 0, Symbol 4 -> Write 4, Move right, New State 0 State 1, Symbol 0 -> Write 2, Move right, New S...
7
[ "3->1(at step 2)->1(at step 3)->3(at step 4)->2(at step 5)", "3->1(at step 4)", "3->0(at step 2)", "3->3(at step 3)", "3->2(at step 1)->3(at step 4)->1(at step 5)", "3->0(at step 2)->1(at step 4)->1(at step 5)", "3->3(at step 2)->3(at step 4)->3(at step 6)", "3->2(at step 1)->2(at step 3)->2(at step 4...
2d_turing_machine
Multi-step Reasoning
State Prediction
6
Predict change in Blinky's movement
Hard
Medium
# Game Overview Pac-Man is a maze arcade game where the player controls Pac-Man to eat as many beans as possible while avoiding ghosts. If a ghost catches Pac-Man, the game ends. # Basic Elements - **Pac-Man**: The yellow circular character that the player controls - **Beans**: Yellow dots that Pac-Man can eat to sco...
A
[ "A. Blinky's direction remains unchanged, still DOWN", "B. Blinky's direction changes to LEFT", "C. Blinky's direction changes to UP", "D. Blinky's direction changes to RIGHT" ]
pacman
Strategy Planning
State Prediction
6
The position after moving.
Easy
Medium
**Rules:** 1. This is a maze mini-game.The player needs to navigate around obstacles to reach the destination and achieve victory. 2. The red circle represents the player, the green block is the goal and the blue blocks are obstacles. 3. The player can only move within the white blocks. **Question:** What are the coor...
E
[ "A. (4, 6)", "B. (4, 7)", "C. (5, 7)", "D. (4, 8)", "E. (3, 7)" ]
maze
Strategy Planning
Target Perception
1
A board_state question about the current state of Klondike Solitaire
Hard
Easy
The given image represents the interface of the game Klondike Solitaire. The user interface consists of a board with 52 playing cards divided into four distinct areas: 1. **Stock Pile (Draw Pile):** Initially composed of 24 face-down cards. The player can draw one card at a time to reveal its face. 2. **Waste Pile (...
6
[ "Move from Tab6 to Foundation 3", "Move from Waste Pile to Foundation 4", "Move from Tab5 to Foundation 1", "Move from Tab6 to Foundation 4", "Move from Tab5 to Foundation 3", "Move from Tab1 to Foundation 2", "Move from Waste Pile to Foundation 2", "No possible moves from the options" ]
klondike
Pattern Recognition & Matching
Target Perception
0
cell_letter
Medium
Easy
Rules: 1. The grid contains uppercase letters. 2. Row and column indexes begin from 1 at the top-left corner. Question: What letter is at row 2, column 6? Options: 1: N 2: O 3: G 4: S 5: Y 6: J 7: Q 8: H
5
[ "N", "O", "G", "S", "Y", "J", "Q", "H" ]
word_search
Multi-step Reasoning
Strategy Optimization
2
Questions about the optimal strategy to take a move of the current player of the board.
Medium
Medium
Principles: Tic-Tac-Toe is a classic two-player game played on a 3x3 grid, (row, col) from (0, 0) to (2, 2). Players take turns marking a space in the grid, one using **O** (the red block) and the other using **X** (the blue block). In each game, player **O** starts first. The objective is to be the first to get three ...
F
[ "A.None", "B.(0, 0)", "C.(0, 1)", "D.(0, 2)", "E.(1, 0)", "F.(1, 1)", "G.(1, 2)", "H.(2, 0) or (2, 1) or (2, 2)" ]
tictactoe
Strategy Planning
Target Perception
4
Identify the current position of the player on the board
Hard
Easy
This is a Sokoban puzzle where black figure is player, green X is target, brown box with X is box to push, brown tiles are walls, and light brown areas are movable spaces.The coordinates (x, y) in this puzzle represent the matrix format.What is the current position of the player (row, column)? Options: [1] (9, 4) [2] (...
5
[ "(9, 4)", "(6, 5)", "(6, 2)", "(4, 9)", "(10, 3)", "(4, 3)", "(3, 6)", "(9, 8)" ]
sokoban
Strategy Planning
State Prediction
2
symbol_at_position
Hard
Medium
Rules: State 0, Symbol 0 -> Write 1, Move down, New State 0 State 0, Symbol 1 -> Write 2, Move right, New State 1 State 0, Symbol 2 -> Write 1, Move left, New State 0 State 0, Symbol 3 -> Write 4, Move up, New State 1 State 0, Symbol 4 -> Write 3, Move down, New State 1 State 1, Symbol 0 -> Write 1, Move left, New Stat...
5
[ "1->2(at step 3)->0(at step 5)", "1->2(at step 1)->1(at step 2)", "1->1(at step 1)->4(at step 4)->0(at step 5)", "1->1(at step 1)->1(at step 2)->1(at step 4)", "1->4(at step 6)", "1->3(at step 1)->0(at step 2)->1(at step 3)->0(at step 5)", "1->1(at step 1)->2(at step 2)->1(at step 3)->2(at step 5)", "...
2d_turing_machine
Multi-step Reasoning
Target Perception
2
height_comparison
Easy
Easy
Rules: 1. Player can only walk on top of cubes 2. Player can climb ladders if they can reach the cube under the ladder 3. From a ladder, player can reach the top of the last cube with the ladder 4. Blue cube is start position, red cube is goal position 5. Green cubes are numbered points (1, 2, and 3) What is the corre...
6
[ "2 < 3 < 1", "2 < 1 < 3", "1 < 2 = 3", "1 = 2 = 3", "3 < 1 < 2", "1 = 2 < 3", "2 < 1 = 3", "1 < 3 < 2" ]
3d_maze
3D Spatial Perception & Reasoning
State Prediction
2
Given a sequence of moves, predict the final position of the box
Easy
Medium
This is a Sokoban puzzle where black figure is player, green X is target, brown box with X is box to push, brown tiles are walls, and light brown areas are movable spaces.The coordinates (x, y) in this puzzle represent the matrix format.Treat boxes as objects that can move by themselves, and treat people as floor (mova...
4
[ "(3, 3)", "(1, 3)", "(1, 1)", "(3, 2)", "(2, 3)", "(3, 1)", "(1, 2)", "(2, 1)" ]
sokoban
Strategy Planning
Target Perception
1
Given a particular game state, the puzzle will present a question about which card is at a specific position in one of the cascade piles.Your task is to indentify the card in the options.
Easy
Easy
In this FreeCell game: we have 8 cascade piles at sum, and their indexes are [0, 1, 2, 3, 4, 5, 6, 7]We have 4 freecell on the left top, and their indexes are 0,1,2,3.We have 4 foundation piles on the right top, and their indexes are 0,1,2,3.In FreeCell, cards can be moved according to specific rules: A card can be mov...
8
[ "(Spade, 1)", "(Heart, A)", "(Diamond, 1)", "(Club, J)", "(Spade, 5)", "(Heart, 7)", "(Club, 6)", "(Club, 5)" ]
freecell
Pattern Recognition & Matching
State Prediction
2
Questions about predicting the number of live cells after 1 iteration
Hard
Medium
Conway's Game of Life is a cellular automaton where each cell in the grid can be either alive (black) or dead (white). Each cell interacts with its eight neighbors, which are the cells that are horizontally, vertically, or diagonally adjacent. For a cell at position (r,c), its neighbors are: - (r-1,c-1) (r-1,c) (r-...
E
[ "A: 11", "B: 7", "C: 14", "D: 21", "E: 10", "F: 4", "G: 3", "H: 17" ]
lifegame
Multi-step Reasoning
Target Perception
2
Identify the closest ghost
Easy
Easy
# Game Overview Pac-Man is a maze arcade game where the player controls Pac-Man to eat as many beans as possible while avoiding ghosts. If a ghost catches Pac-Man, the game ends. # Basic Elements - **Pac-Man**: The yellow circular character that the player controls - **Beans**: Yellow dots that Pac-Man can eat to sco...
A. Pinky is closer to Pac-Man
[ "A. Pinky is closer to Pac-Man", "B. Blinky is closer to Pac-Man", "C. Both ghosts are equidistant from Pac-Man" ]
pacman
Strategy Planning
Target Perception
1
Questions about the current state of a specific block of the board.
Easy
Easy
Principles: Tic-Tac-Toe is a classic two-player game played on a 3x3 grid, (row, col) from (0, 0) to (2, 2). Players take turns marking a space in the grid, one using **O** (the red block) and the other using **X** (the blue block). In each game, player **O** starts first. The objective is to be the first to get three ...
C
[ "A.red", "B.blue", "C.white" ]
tictactoe
Strategy Planning
Target Perception
1
Questions about the current state of a specific block of the board.
Easy
Easy
Principles: Tic-Tac-Toe is a classic two-player game played on a 3x3 grid, (row, col) from (0, 0) to (2, 2). Players take turns marking a space in the grid, one using **O** (the red block) and the other using **X** (the blue block). In each game, player **O** starts first. The objective is to be the first to get three ...
B
[ "A.red", "B.blue", "C.white" ]
tictactoe
Strategy Planning
State Prediction
2
symbol_at_position
Hard
Medium
Rules: State 0, Symbol 0 -> Write 0, Move right, New State 0 State 0, Symbol 1 -> Write 1, Move left, New State 0 State 0, Symbol 2 -> Write 1, Move down, New State 0 State 0, Symbol 3 -> Write 3, Move right, New State 0 State 0, Symbol 4 -> Write 1, Move up, New State 1 State 1, Symbol 0 -> Write 1, Move right, New St...
8
[ "1->4(at step 1)->2(at step 2)", "1->0(at step 6)->2(at step 7)", "1->4(at step 3)->1(at step 6)->1(at step 7)", "1->4(at step 1)->3(at step 4)->3(at step 6)->2(at step 7)", "1->1(at step 5)->0(at step 6)", "1->2(at step 1)->2(at step 2)->4(at step 4)->3(at step 6)", "1->2(at step 2)", "1->1(at step 1...
2d_turing_machine
Multi-step Reasoning
Strategy Optimization
3
A move_effectiveness question about the current state of Klondike Solitaire
Easy
Hard
The given image represents the interface of the game Klondike Solitaire. The user interface consists of a board with 52 playing cards divided into four distinct areas: 1. **Stock Pile (Draw Pile):** Initially composed of 24 face-down cards. The player can draw one card at a time to reveal its face. 2. **Waste Pile (...
8
[ "Move from Tab2 to Tab7", "Move from Tab5 to Tab6", "Move from Tab2 to Tab3", "Move from Tab5 to Tab4", "Move from Tab3 to Tab1", "Move from Tab1 to Tab1", "Move from Tab7 to Tab7", "None of these moves are both valid and effective" ]
klondike
Pattern Recognition & Matching
Target Perception
1
Given a particular game state, the puzzle will present a question about which card is at a specific position in one of the cascade piles.Your task is to indentify the card in the options.
Medium
Easy
In this FreeCell game: we have 6 cascade piles at sum, and their indexes are [0, 1, 2, 3, 4, 5]We have 4 freecell on the left top, and their indexes are 0,1,2,3.We have 4 foundation piles on the right top, and their indexes are 0,1,2,3.In FreeCell, cards can be moved according to specific rules: A card can be moved to ...
3
[ "(Diamond, 9)", "(Spade, J)", "(Diamond, A)", "(Diamond, 5)", "(Spade, 3)", "(Diamond, 7)", "(Heart, J)", "(Spade, 6)" ]
freecell
Pattern Recognition & Matching
State Prediction
4
Questions about predicting steps needed to reach stability
Medium
Hard
Conway's Game of Life is a cellular automaton where each cell in the grid can be either alive (black) or dead (white). Each cell interacts with its eight neighbors, which are the cells that are horizontally, vertically, or diagonally adjacent. For a cell at position (r,c), its neighbors are: - (r-1,c-1) (r-1,c) (r-...
H
[ "A: 5", "B: 3", "C: 4", "D: 2", "E: 7", "F: 8", "G: 6", "H: 1" ]
lifegame
Multi-step Reasoning
Target Perception
3
Ask the total number of enemies
Easy
Medium
The given image represents a simplified interface of the game Space Invaders. The enemy area is implicitly divided into a grid of cells, with the row and column numbers shown on the left and top sides of the grid respectively which you should strictly follow. Each cell is either empty or occupied by an incoming enemy w...
6
[ "9", "10", "11", "12", "13", "14", "15", "16" ]
space_invaders
Strategy Planning
Target Perception
1
Questions about the current state of a specific block of the board.
Easy
Easy
Principles: Tic-Tac-Toe is a classic two-player game played on a 3x3 grid, (row, col) from (0, 0) to (2, 2). Players take turns marking a space in the grid, one using **O** (the red block) and the other using **X** (the blue block). In each game, player **O** starts first. The objective is to be the first to get three ...
A
[ "A.red", "B.blue", "C.white" ]
tictactoe
Strategy Planning
State Prediction
1
head_state
Easy
Medium
Rules: State 0, Symbol 0 -> Write 1, Move down, New State 0 State 0, Symbol 1 -> Write 1, Move down, New State 0 State 0, Symbol 2 -> Write 2, Move left, New State 1 State 1, Symbol 0 -> Write 2, Move up, New State 1 State 1, Symbol 1 -> Write 0, Move left, New State 2 State 1, Symbol 2 -> Write 2, Move right, New Stat...
7
[ "<2>", "(1)", "[2]", "[1]", "{2}", "<0>", "{0}", "[0]" ]
2d_turing_machine
Multi-step Reasoning
State Prediction
2
A deadlock question about the current state of Klondike Solitaire
Medium
Medium
The given image represents the interface of the game Klondike Solitaire. The user interface consists of a board with 52 playing cards divided into four distinct areas: 1. **Stock Pile (Draw Pile):** Initially composed of 24 face-down cards. The player can draw one card at a time to reveal its face. 2. **Waste Pile (...
5
[ "Draw pile and waste pile are NOT both empty AND Existing cards can be moved to foundation piles AND No tableau pile move can reveal a hidden card or empty a tableau pile, so the game is NOT in a deadlock.", "Draw pile and waste pile are NOT both empty AND No cards can be moved to foundation piles AND Some tablea...
klondike
Pattern Recognition & Matching
State Prediction
2
A deadlock question about the current state of Klondike Solitaire
Medium
Medium
The given image represents the interface of the game Klondike Solitaire. The user interface consists of a board with 52 playing cards divided into four distinct areas: 1. **Stock Pile (Draw Pile):** Initially composed of 24 face-down cards. The player can draw one card at a time to reveal its face. 2. **Waste Pile (...
6
[ "Draw pile and waste pile are NOT both empty AND No cards can be moved to foundation piles AND No tableau pile move can reveal a hidden card or empty a tableau pile, so the game is NOT in a deadlock.", "Draw pile and waste pile are both empty AND No cards can be moved to foundation piles AND Some tableau pile mov...
klondike
Pattern Recognition & Matching
Target Perception
1
Find the type of the block in a given coordinate.
Hard
Easy
Now I'll give you a picture, which shows a screenshot of a rhythm game, in which there are operation blocks of various colors. In this game, the operation blocks will fall at a speed of 1 cell/second. At the same time, you can select a column to place your finger (you cannot move your finger after selecting it), and cl...
2
[ "Non-type", "Click", "Reverse", "Snake Head", "Snake Body", "Snake Tail" ]
rhythm_game
Strategy Planning
Target Perception
5
Provide the higher level status of a coordinate: Is the coordinate legal? Does it contain a ball? Can the ball be taken? Can a ball be placed?
Medium
Medium
Pyramid Chess Rules: 0.Game Board: The game board is square and comes in various sizes: 3x3, 4x4, or 5x5. On an nxn board, there are n levels (0 to n-1). At each level k, the x and y coordinates range from 0 to n-1-k, resulting in (n-k)**2 slots per level. The slots in the lower levels act as the base for the slots in ...
2
[ "The coordinate is out of bound", "It contain a ball and the ball can't be taken", "It contain a ball and can be taken", "It doesn't contain a ball and the player can put a ball here this turn", "It doesn't contain a ball and the player can't put a ball here this turn" ]
pyramidchess
3D Spatial Perception & Reasoning
State Prediction
3
Find the sequence of moves between two cube states
Medium
Hard
Rules: As shown in the figure, the Rubik's cube consists of both 3D views and an unfolded view. The 3D views show the cube from two angles: left-tilted 30 degrees looking down, and right-tilted ,30 degrees looking up. The cube has six faces: Upper (U), Down (D), Left (L), Right (R), Front (F), and Back (B). Each face c...
2
[ "6", "2", "9", "3", "7", "11", "8", "5" ]
rubiks_cube
3D Spatial Perception & Reasoning
Target Perception
4
Find the number of pieces in the image.
Easy
Medium
Now I'll give you a picture, which shows a screenshot of Ultra TicTacToe. The introduction of Ultra TicTacToe is as follows: 1. Board and coordinate representation: In this game, the board is divided into 9 3*3 squares(called Nine-grids). At the same time, we use $(i, j, row, col)$ to represent the coordinates of a cel...
3
[ "0", "20", "9", "5", "18", "17", "24", "1" ]
ultra_tictactoe
Strategy Planning
Strategy Optimization
3
Find the path to the goal
Easy
Medium
**Rules:** 1. This is a maze mini-game.The player needs to navigate around obstacles to reach the destination and achieve victory. 2. The red circle represents the player, the green block is the goal and the blue blocks are obstacles. 3. The player can only move within the white blocks. **Question:** Which sequence of...
B
[ "A. down, right, down, up, right, down, down, up, down", "B. left, left, left, left, up, up, up, up", "C. up, up, right, down, down, up, right, left, up", "D. left, up, right, left, up, right, right, left, right", "E. right, down, left, down, right, up, left, right, up" ]
maze
Strategy Planning
State Prediction
4
Choose the correct sequence of voxel additions that will make the structure match the target projection(s) while following game rules.
Hard
Hard
You are in the middle of a 3D reconstruction puzzle. The current structure has some initial voxels, and your goal is to complete it as the game rules. Game Rules: 1. Goal: Reconstruct a 3D structure by adding voxels to match given projections. 2. Grid Space: The game is played on a 3x3x3 cube grid. 3. Coordinates: Pos...
1
[ "Add voxels at positions: [(3, 3, 1)]", "Add voxels at positions: [(1, 2, 2), (1, 2, 3), (1, 3, 1), (1, 3, 2), (2, 2, 3), (2, 3, 1), (2, 3, 3), (3, 1, 1), (3, 1, 2), (3, 1, 3), (3, 2, 2), (3, 3, 1)]", "Add voxels at positions: [(2, 3, 3)]", "Add voxels at positions: [(1, 3, 2)]", "Add voxels at positions: [...
3d_reconstruction
3D Spatial Perception & Reasoning
State Prediction
7
Ask the points gained by continually shooting where the ship is with the enemies keeping on moving
Medium
Hard
The given image represents a simplified interface of the game Space Invaders. The enemy area is implicitly divided into a grid of cells, with the row and column numbers shown on the left and top sides of the grid respectively which you should strictly follow. Each cell is either empty or occupied by an incoming enemy w...
2
[ "35", "40", "45", "50", "55", "60", "65", "70" ]
space_invaders
Strategy Planning
Target Perception
1
Find the type of the block in a given coordinate.
Medium
Easy
Now I'll give you a picture, which shows a screenshot of a rhythm game, in which there are operation blocks of various colors. In this game, the operation blocks will fall at a speed of 1 cell/second. At the same time, you can select a column to place your finger (you cannot move your finger after selecting it), and cl...
2
[ "Non-type", "Click", "Reverse", "Snake Head", "Snake Body", "Snake Tail" ]
rhythm_game
Strategy Planning
Target Perception
1
Questions about the current state of a specific block of the board.
Hard
Easy
Principles: Tic-Tac-Toe is a classic two-player game played on a 3x3 grid, (row, col) from (0, 0) to (2, 2). Players take turns marking a space in the grid, one using **O** (the red block) and the other using **X** (the blue block). In each game, player **O** starts first. The objective is to be the first to get three ...
C
[ "A.red", "B.blue", "C.white" ]
tictactoe
Strategy Planning
Strategy Optimization
3
Find the path to the goal
Hard
Medium
**Rules:** 1. This is a maze mini-game.The player needs to navigate around obstacles to reach the destination and achieve victory. 2. The red circle represents the player, the green block is the goal and the blue blocks are obstacles. 3. The player can only move within the white blocks. **Question:** Which sequence of...
E
[ "A. down, left, right, right, down, down, right, up, right, up, up, up, down, right, right, up, up, up, right, up, left, up, down, up, left, up", "B. right, left, right, up, left, right, left, up, right, right, right, down, left, down, right, down, down, right, right, down, down, up, right, right, left, up", "C...
maze
Strategy Planning
Target Perception
3
Find the number of marked middle cells in the image.
Hard
Easy
Now I'll give you a picture, which shows a screenshot of Ultra TicTacToe. The introduction of Ultra TicTacToe is as follows: 1. Board and coordinate representation: In this game, the board is divided into 9 3*3 squares(called Nine-grids). At the same time, we use $(i, j, row, col)$ to represent the coordinates of a cel...
9
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9" ]
ultra_tictactoe
Strategy Planning
State Prediction
4
Questions about predicting steps needed to reach stability
Medium
Hard
Conway's Game of Life is a cellular automaton where each cell in the grid can be either alive (black) or dead (white). Each cell interacts with its eight neighbors, which are the cells that are horizontally, vertically, or diagonally adjacent. For a cell at position (r,c), its neighbors are: - (r-1,c-1) (r-1,c) (r-...
C
[ "A: 7", "B: 8", "C: 2", "D: 1", "E: 6", "F: 5", "G: 4", "H: 3" ]
lifegame
Multi-step Reasoning
Target Perception
1
Identify colors on specific positions
Medium
Easy
Rules: As shown in the figure, the Rubik's cube consists of both 3D views and an unfolded view. The 3D views show the cube from two angles: left-tilted 30 degrees looking down, and right-tilted ,30 degrees looking up. The cube has six faces: Upper (U), Down (D), Left (L), Right (R), Front (F), and Back (B). Each face c...
7
[ "magenta", "blue", "gray", "orange", "black", "pink", "red", "green" ]
rubiks_cube
3D Spatial Perception & Reasoning
Target Perception
4
piece_adjacency
Hard
Medium
Rules: 1. Each numbered region represents a piece on the board. 2. Pieces are considered adjacent if they share at least one edge. 3. Pieces that only touch at corners are not considered adjacent. Question: How many different pieces are adjacent to Piece 1? Options: 1: 7 2: 1 3: 2 4: 4 5: 3 6: 6 7: 5 8: 0
3
[ "7", "1", "2", "4", "3", "6", "5", "0" ]
tengram
Pattern Recognition & Matching
State Prediction
5
Multi-step deductive reasoning with constraints analysis
Hard
Hard
This is a sudoku game in which the board is filled with a total number of colours equal to the length of the board's sides, and no rows, columns or squares are allowed to have duplicate colours.You should fill the empty cells on the board with following 9 colors:red, green, blue, magenta, yellow, aqua, gray, purple, fo...
C
[ "A.red", "B.green", "C.blue", "D.magenta", "E.yellow", "F.aqua", "G.gray", "H.purple", "I.forest green" ]
sudoku
Multi-step Reasoning
Target Perception
1
letter_count
Medium
Medium
Rules: 1. The grid contains uppercase letters. 2. Count all occurrences of the specified letter. Question: How many times does the letter 'A' appear in the grid? Options: 1: 2 2: 3 3: 11 4: 10 5: 0 6: 1 7: 4 8: 5
6
[ "2", "3", "11", "10", "0", "1", "4", "5" ]
word_search
Multi-step Reasoning
Target Perception
1
Ask the position of player.
Easy
Easy
**Rules:** 1. This is a maze mini-game.The player needs to navigate around obstacles to reach the destination and achieve victory. 2. The red circle represents the player, the green block is the goal and the blue blocks are obstacles. 3. The player can only move within the white blocks. **Question:** Which of the foll...
B
[ "A. (4, 6)", "B. (4, 7)", "C. (5, 7)", "D. (4, 8)", "E. (3, 7)" ]
maze
Strategy Planning
Target Perception
0
cell_letter
Easy
Easy
Rules: 1. The grid contains uppercase letters. 2. Row and column indexes begin from 1 at the top-left corner. Question: What letter is at row 2, column 4? Options: 1: Q 2: L 3: S 4: J 5: E 6: P 7: C 8: W
1
[ "Q", "L", "S", "J", "E", "P", "C", "W" ]
word_search
Multi-step Reasoning
Target Perception
0
cell_letter
Hard
Easy
Rules: 1. The grid contains uppercase letters. 2. Row and column indexes begin from 1 at the top-left corner. Question: What letter is at row 8, column 1? Options: 1: L 2: J 3: D 4: I 5: B 6: F 7: A 8: U
2
[ "L", "J", "D", "I", "B", "F", "A", "U" ]
word_search
Multi-step Reasoning
Target Perception
1
Given a particular game state, the puzzle will present a question about which card is at a specific position in one of the cascade piles.Your task is to indentify the card in the options.
Easy
Easy
In this FreeCell game: we have 8 cascade piles at sum, and their indexes are [0, 1, 2, 3, 4, 5, 6, 7]We have 4 freecell on the left top, and their indexes are 0,1,2,3.We have 4 foundation piles on the right top, and their indexes are 0,1,2,3.In FreeCell, cards can be moved according to specific rules: A card can be mov...
8
[ "(Heart, A)", "(Diamond, 1)", "(Club, 6)", "(Club, 9)", "(Heart, 7)", "(Club, 5)", "(Club, A)", "(Diamond, Q)" ]
freecell
Pattern Recognition & Matching
State Prediction
0
color_matching
Easy
Hard
Rules: 1. Colors change gradually along rows or columns. 2. A gradient transitions between two colors. 3. Each row or column can have its own independent gradient pattern. 4. Row and column indexes begin from 1 at the top-left corner. Question: Which color should be put in cell F? Options: Colors are numbered from 1...
3
[ "1", "2", "3", "4", "5", "6" ]
hue
Pattern Recognition & Matching
Target Perception
0
Identify Pacman location
Medium
Easy
# Game Overview Pac-Man is a maze arcade game where the player controls Pac-Man to eat as many beans as possible while avoiding ghosts. If a ghost catches Pac-Man, the game ends. # Basic Elements - **Pac-Man**: The yellow circular character that the player controls - **Beans**: Yellow dots that Pac-Man can eat to sco...
G
[ "A. (15, 15), UP", "B. (15, 1), LEFT", "C. (1, 0), LEFT", "D. (4, 8), DOWN", "E. (16, 0), DOWN", "F. (1, 8), UP", "G. (14, 16), UP", "H. (0, 13), UP" ]
pacman
Strategy Planning
State Prediction
4
Predict cell reveal outcome
Easy
Hard
This is a Minesweeper game. The size of the chessboard is 4x4, and there are a total of 3 mines hidden on the board. The numbers on the board indicate how many mines are adjacent to that cell, including diagonals. Cells marked with "F" (flagged) are identified as potential locations of mines based on logical deduction...
D
[ "A: The game will end because the cell contains a mine. ", "B: The cell will reveal an empty area, and adjacent cells will also be revealed. ", "C: The cell will reveal the number 0. ", "D: The cell will reveal the number 1." ]
minesweeper
Multi-step Reasoning
Target Perception
0
cell_letter
Hard
Easy
Rules: 1. The grid contains uppercase letters. 2. Row and column indexes begin from 1 at the top-left corner. Question: What letter is at row 3, column 2? Options: 1: A 2: K 3: G 4: J 5: N 6: F 7: Q 8: E
4
[ "A", "K", "G", "J", "N", "F", "Q", "E" ]
word_search
Multi-step Reasoning
Target Perception
1
Ask the position of player.
Hard
Easy
**Rules:** 1. This is a maze mini-game.The player needs to navigate around obstacles to reach the destination and achieve victory. 2. The red circle represents the player, the green block is the goal and the blue blocks are obstacles. 3. The player can only move within the white blocks. **Question:** Which of the foll...
A
[ "A. (3, 3)", "B. (3, 4)", "C. (2, 3)", "D. (3, 2)", "E. (4, 3)" ]
maze
Strategy Planning
State Prediction
3
Given a particular game state,a selected move and a selected cascade pile, the puzzle will present a question about which card is at the top of the cascade pile. Your task is to indentify the card in the options.
Medium
Hard
In this FreeCell game: we have 6 cascade piles, and their indexes are [0, 1, 2, 3, 4, 5]We have 4 freecell on the left top, and their indexes are 0,1,2,3.We have 4 foundation piles on the right top, and their indexes are 0,1,2,3.In FreeCell, cards can be moved according to specific rules: A card can be moved to a free ...
8
[ "(Club, A)", "(Heart, Q)", "(Spade, 5)", "(Club, 9)", "(Diamond, K)", "(Heart, 7)", "(Diamond, 7)", "(Heart, K)" ]
freecell
Pattern Recognition & Matching
Target Perception
5
Count specific colors on a face
Easy
Easy
Rules: As shown in the figure, the Rubik's cube consists of both 3D views and an unfolded view. The 3D views show the cube from two angles: left-tilted 30 degrees looking down, and right-tilted ,30 degrees looking up. The cube has six faces: Upper (U), Down (D), Left (L), Right (R), Front (F), and Back (B). Each face c...
1
[ "9", "2", "0", "1", "8", "6", "5", "7" ]
rubiks_cube
3D Spatial Perception & Reasoning
State Prediction
2
piece_rotation
Medium
Medium
Rules: 1. Each numbered region represents a piece on the board. 2. Pieces are considered adjacent if they share at least one edge. 3. Pieces that only touch at corners are not considered adjacent. 4. One piece is removed from main board and shown below. It has been rotated and may have been flipped. Question: Can the ...
1
[ "rotate 90 degrees counterclockwise", "rotate 90 degrees clockwise", "rotate 90 degrees by both direction", "no matter what degrees rotated, it always can fit", "both rotate 0 and 180 degrees", "can't put inside (flipped)", "rotate 180 degrees", "rotate 0 degrees" ]
tengram
Pattern Recognition & Matching
Target Perception
1
Given a particular game state, the puzzle will present a question about which card is at a specific position in one of the cascade piles.Your task is to indentify the card in the options.
Hard
Easy
In this FreeCell game: we have 4 cascade piles at sum, and their indexes are [0, 1, 2, 3]We have 4 freecell on the left top, and their indexes are 0,1,2,3.We have 4 foundation piles on the right top, and their indexes are 0,1,2,3.In FreeCell, cards can be moved according to specific rules: A card can be moved to a free...
1
[ "(Club, 7)", "(Heart, 2)", "(Heart, K)", "(Club, 8)", "(Heart, 1)", "(Spade, 5)", "(Spade, A)", "(Club, K)" ]
freecell
Pattern Recognition & Matching
Strategy Optimization
5
Asking the next move that can lead to solving the puzzle
Easy
Hard
This game is called Chess Ranger. The rules are as follows:Pieces move like in standard chess.You can only perform capture moves.The king is allowed to be captured.The goal is to end up with a single piece remaining on the board.The possible first step to be tried is the following 4 steps: 1.move Rook in h5 to capture ...
F
[ "A.14", "B.2", "C.3", "D.1", "E.234", "F.24", "G.12", "H.None" ]
chess_ranger
Strategy Planning
Target Perception
1
Check color state at position
Easy
Easy
This is a sudoku game in which the board is filled with a total number of colours equal to the length of the board's sides, and no rows, columns or squares are allowed to have duplicate colours.You should fill the empty cells on the board with following 4 colors: red, green, blue, magenta.In this Sudoku board, the row ...
C
[ "A.red", "B.green", "C.blue", "D.magenta" ]
sudoku
Multi-step Reasoning
State Prediction
2
A deadlock question about the current state of Klondike Solitaire
Hard
Medium
The given image represents the interface of the game Klondike Solitaire. The user interface consists of a board with 52 playing cards divided into four distinct areas: 1. **Stock Pile (Draw Pile):** Initially composed of 24 face-down cards. The player can draw one card at a time to reveal its face. 2. **Waste Pile (...
7
[ "Draw pile and waste pile are NOT both empty AND No cards can be moved to foundation piles AND No tableau pile move can reveal a hidden card or empty a tableau pile, so the game is NOT in a deadlock.", "Draw pile and waste pile are both empty AND Existing cards can be moved to foundation piles AND No tableau pile...
klondike
Pattern Recognition & Matching
State Prediction
4
Predict card move result
Medium
Medium
Spider Solitaire # OBJECTIVE Spider is played with eight decks of 13 spade cards each, totaling 104 unique cards. The goal is to arrange all cards in a King-to-Ace sequence in the same suit and move them to the foundation piles. Once all sequences are moved to the foundations, the game is won. # SETUP The game featu...
A
[ "A. The move will be successful, and the cards will be in descending order, following the rules of movement.", "B. The move cannot be made because this card is face-down and its value is unknown.", "C. The move cannot be made because there is a card above it, and that card does not form a descending order with ...
spider_solitaire
Pattern Recognition & Matching
State Prediction
3
first_state_entry
Medium
Medium
Rules: State 0, Symbol 0 -> Write 1, Move right, New State 1 State 0, Symbol 1 -> Write 2, Move right, New State 3 State 0, Symbol 2 -> Write 1, Move left, New State 0 State 1, Symbol 0 -> Write 1, Move up, New State 0 State 1, Symbol 1 -> Write 0, Move down, New State 1 State 1, Symbol 2 -> Write 0, Move down, New Sta...
7
[ "2", "7", "8", "3", "5", "6", "1", "4" ]
2d_turing_machine
Multi-step Reasoning
Target Perception
0
Choose a random coordinate and ask what status is the cooradinate
Medium
Easy
Pyramid Chess Rules: 0.Game Board: The game board is square and comes in various sizes: 3x3, 4x4, or 5x5. On an nxn board, there are n levels (0 to n-1). At each level k, the x and y coordinates range from 0 to n-1-k, resulting in (n-k)**2 slots per level. The slots in the lower levels act as the base for the slots in ...
4
[ "PLAYER_0", "PLAYER_1", "Empty", "Index out of bound" ]
pyramidchess
3D Spatial Perception & Reasoning
Target Perception
2
height_comparison
Easy
Easy
Rules: 1. Player can only walk on top of cubes 2. Player can climb ladders if they can reach the cube under the ladder 3. From a ladder, player can reach the top of the last cube with the ladder 4. Blue cube is start position, red cube is goal position 5. Green cubes are numbered points (1, 2, and 3) What is the corre...
1
[ "2 = 3 < 1", "1 = 2 = 3", "2 < 1 < 3", "1 < 2 = 3", "1 = 3 < 2", "3 < 2 < 1", "3 < 1 = 2", "1 < 2 < 3" ]
3d_maze
3D Spatial Perception & Reasoning
State Prediction
4
Based on the current puzzle state, your task is to identify which of the following cells provided by the options can a star be placed in?
Hard
Medium
We have a 8*8 grid.The grid is divided into 8 regions. Cells with the same color belong to the same region. Region with index 0 has the color of light pink. Region with index 1 has the color of powder blue. Region with index 2 has the color of light green. Region with index 3 has the color of peach. Region with index ...
1
[ "(4,3)", "(7,0)", "(5,0)", "(5,2)", "(3,0)", "(2,5)", "(1,7)", "(2,6)" ]
star_battle
Multi-step Reasoning
Target Perception
4
Identify the current position of the player on the board
Medium
Easy
This is a Sokoban puzzle where black figure is player, green X is target, brown box with X is box to push, brown tiles are walls, and light brown areas are movable spaces.The coordinates (x, y) in this puzzle represent the matrix format.What is the current position of the player (row, column)? Options: [1] (1, 2) [2] (...
6
[ "(1, 2)", "(4, 2)", "(6, 2)", "(3, 1)", "(3, 5)", "(6, 5)", "(3, 6)", "(6, 4)" ]
sokoban
Strategy Planning
Target Perception
0
cell_letter
Medium
Easy
Rules: 1. The grid contains uppercase letters. 2. Row and column indexes begin from 1 at the top-left corner. Question: What letter is at row 4, column 2? Options: 1: V 2: H 3: I 4: X 5: Y 6: D 7: L 8: M
8
[ "V", "H", "I", "X", "Y", "D", "L", "M" ]
word_search
Multi-step Reasoning
Target Perception
1
color_description
Hard
Easy
Rules: 1. Colors change gradually along rows or columns. 2. A gradient transitions between two colors. 3. Each row or column can have its own independent gradient pattern. 4. Row and column indexes begin from 1 at the top-left corner. Question: What color is the cell at row 8, column 1? Options: 1: vivid bright purp...
8
[ "vivid bright purple", "bright cyan", "vivid purple", "dark green", "vivid bright green", "yellow", "pale orange", "pale bright red" ]
hue
Pattern Recognition & Matching
Strategy Optimization
3
A move_effectiveness question about the current state of Klondike Solitaire
Medium
Hard
The given image represents the interface of the game Klondike Solitaire. The user interface consists of a board with 52 playing cards divided into four distinct areas: 1. **Stock Pile (Draw Pile):** Initially composed of 24 face-down cards. The player can draw one card at a time to reveal its face. 2. **Waste Pile (...
4
[ "Move from Tab2 to Tab3", "Move from Tab5 to Tab7", "Move from Tab4 to Tab7", "Move from Tab3 to Foundation 3", "Move from Tab1 to Tab5", "Move from Tab6 to Tab7", "Move from Tab5 to Tab6", "None of these moves are both valid and effective" ]
klondike
Pattern Recognition & Matching
Strategy Optimization
5
Asking the next move that can lead to solving the puzzle
Medium
Hard
This game is called Chess Ranger. The rules are as follows:Pieces move like in standard chess.You can only perform capture moves.The king is allowed to be captured.The goal is to end up with a single piece remaining on the board.The possible first step to be tried is the following 4 steps: 1.move Queen in h8 to capture...
C
[ "A.124", "B.234", "C.123", "D.24", "E.134", "F.14", "G.13", "H.None" ]
chess_ranger
Strategy Planning
Target Perception
0
Identify Pacman location
Medium
Easy
# Game Overview Pac-Man is a maze arcade game where the player controls Pac-Man to eat as many beans as possible while avoiding ghosts. If a ghost catches Pac-Man, the game ends. # Basic Elements - **Pac-Man**: The yellow circular character that the player controls - **Beans**: Yellow dots that Pac-Man can eat to sco...
B
[ "A. (5, 9), LEFT", "B. (4, 10), LEFT", "C. (17, 14), RIGHT", "D. (16, 4), RIGHT", "E. (11, 8), DOWN", "F. (1, 7), UP", "G. (6, 2), UP", "H. (9, 11), UP" ]
pacman
Strategy Planning
Strategy Optimization
4
Determine optimal move sequence to solve the cube
Easy
Hard
Rules: As shown in the figure, the Rubik's cube consists of both 3D views and an unfolded view. The 3D views show the cube from two angles: left-tilted 30 degrees looking down, and right-tilted ,30 degrees looking up. The cube has six faces: Upper (U), Down (D), Left (L), Right (R), Front (F), and Back (B). Each face c...
2
[ "5", "1", "9", "7", "11", "4", "10", "3" ]
rubiks_cube
3D Spatial Perception & Reasoning
State Prediction
2
piece_rotation
Hard
Medium
Rules: 1. Each numbered region represents a piece on the board. 2. Pieces are considered adjacent if they share at least one edge. 3. Pieces that only touch at corners are not considered adjacent. 4. One piece is removed from main board and shown below. It has been rotated and may have been flipped. Question: Can the ...
8
[ "no matter what degrees rotated, it always can fit", "can't put inside (flipped)", "rotate 0 degrees", "rotate 180 degrees", "rotate 90 degrees by both direction", "both rotate 0 and 180 degrees", "rotate 90 degrees counterclockwise", "rotate 90 degrees clockwise" ]
tengram
Pattern Recognition & Matching
State Prediction
0
position
Easy
Medium
Rules: State 0, Symbol 0 -> Write 3, Move down, New State 2 State 0, Symbol 1 -> Write 2, Move right, New State 1 State 0, Symbol 2 -> Write 0, Move right, New State 1 State 0, Symbol 3 -> Write 3, Move right, New State 1 State 1, Symbol 0 -> Write 2, Move up, New State 0 State 1, Symbol 1 -> Write 2, Move up, New Stat...
3
[ "(1, 1)", "(0, 1)", "(2, 2)", "(0, 2)", "(2, 1)", "(1, 2)", "(1, 0)", "(2, 0)" ]
2d_turing_machine
Multi-step Reasoning
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