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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 (...
2
[ "Move from Tab6 to Tab7", "Move from Tab2 to Foundation 2", "Move from Tab3 to Tab4", "Move from Tab1 to Tab7", "Move from Tab4 to Tab5", "Move from Tab2 to Tab5", "Move from Tab2 to Tab3", "None of these moves are both valid and effective" ]
klondike
Pattern Recognition & Matching
Target Perception
5
Ask the available directions to move are currently
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 directions ...
E
[ "A. down", "B. right", "C. up, down", "D. up, right", "E. left, right", "F. up, dow, left", "G. down, left, right", "H. up, down, left, right" ]
maze
Strategy Planning
State Prediction
3
first_state_entry
Medium
Medium
Rules: State 0, Symbol 0 -> Write 1, Move up, New State 0 State 0, Symbol 1 -> Write 3, Move up, New State 1 State 0, Symbol 2 -> Write 0, Move down, New State 1 State 0, Symbol 3 -> Write 2, Move down, New State 1 State 1, Symbol 0 -> Write 2, Move left, New State 0 State 1, Symbol 1 -> Write 0, Move down, New State 0...
4
[ "8", "7", "4", "1", "3", "5", "2", "6" ]
2d_turing_machine
Multi-step 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 ...
2
[ "(4,0)", "null", "(0,5)", "(2,0)", "(5,1)", "(2,3)", "(3,2)", "(7,4)" ]
star_battle
Multi-step Reasoning
Target Perception
1
A board_state question about the current state of Klondike Solitaire
Medium
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 (...
5
[ "Move from Tab4 to Tab6", "Move from Tab4 to Foundation 4", "Move from Tab4 to Tab2", "Move from Waste Pile to Tab4", "Move from Tab5 to Tab1", "Move from Tab1 to Foundation 4", "Move from Tab5 to Foundation 4", "No possible moves from the options" ]
klondike
Pattern Recognition & Matching
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?
Easy
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 ...
5
[ "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
5
piece_placement
Medium
Hard
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. Two adjacent pieces have been removed from the board. 5. A valid placement is one where both pieces fit into the hole wi...
1
[ "(0,1) to (2,6)", "(2,1) to (4,6)", "(0,0) to (2,5)", "(1,0) to (3,5)", "(2,0) to (4,5)", "(1,1) to (3,6)" ]
tengram
Pattern Recognition & Matching
State Prediction
1
Asking the number of moves to solve 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.How many steps are needed to solve the puzzle?Choose from the following options:A.6,B.8,C.7...
G
[ "A.6", "B.8", "C.7", "D.2", "E.9", "F.3", "G.4", "H.5" ]
chess_ranger
Strategy Planning
Target Perception
4
Asking a piece located at a specific square
Easy
Easy
What piece is at e3?Choose from the following options:A.Pawn,B.Rook,C.Knight,D.Bishop,E.Queen,F.King,G.No Piece
E
[ "A.Pawn", "B.Rook", "C.Knight", "D.Bishop", "E.Queen", "F.King", "G.No Piece" ]
chess_ranger
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.
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...
2
[ "(Heart, 3)", "(Heart, A)", "(Heart, 2)", "(Club, 3)", "(Club, 1)", "(Spade, K)", "(Diamond, A)", "(Spade, 5)" ]
freecell
Pattern Recognition & Matching
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 ...
D
[ "A.red", "B.green", "C.blue", "D.magenta" ]
sudoku
Multi-step Reasoning
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...
C
[ "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 1. ", "D: The cell will reveal the number 0." ]
minesweeper
Multi-step Reasoning
Target Perception
2
Choose how the given 3D structure's projections match with the target projections.
Hard
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) ...
1
[ "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
1
Choose the position that contains a voxel from the given options.
Hard
Easy
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) (Note: The projections shown in the image are not relevant for this question) Game Rules: 1. Grid S...
4
[ "(1,3,3)", "(3,2,3)", "(1,2,1)", "(3,3,1)", "(2,3,1)", "(1,1,3)" ]
3d_reconstruction
3D Spatial Perception & Reasoning
Target Perception
2
gradient_pattern
Medium
Medium
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 is the gradient pattern in row 4? Options: 1: transitioning from bl...
5
[ "transitioning from blue to pale bright orange", "transitioning from vivid green to black", "transitioning from bright red to vivid dark green", "transitioning from vivid purple to light gray", "transitioning from vivid purple to vivid bright purple", "transitioning from bright orange to dark gray", "tr...
hue
Pattern Recognition & Matching
State Prediction
2
Predict the cube state after performing specific moves
Easy
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...
1
[ "blue", "purple", "brown", "gray", "magenta", "yellow", "pink", "cyan" ]
rubiks_cube
3D Spatial Perception & 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
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 5? Options: 1: A 2: F 3: B 4: R 5: E 6: C 7: P 8: O
2
[ "A", "F", "B", "R", "E", "C", "P", "O" ]
word_search
Multi-step Reasoning
State Prediction
0
color_matching
Medium
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 D? Options: Colors are numbered from 1...
3
[ "1", "2", "3", "4", "5", "6" ]
hue
Pattern Recognition & Matching
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...
A
[ "A. right, right, right, right, right, up, up, up, up", "B. up, right, right, right, right, up, down, up, right, up", "C. up, down, down, down, left, right, down, left, down, down", "D. up, up, down, up, right, left, right, right, up, up", "E. left, left, left, right, down, down, up, right, down, down" ]
maze
Strategy Planning
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 (...
5
[ "Move from Tab4 to Tab7", "Move from Tab4 to Tab5", "Move from Tab2 to Tab6", "Move from Tab3 to Tab6", "Move from Tab1 to Foundation 2", "Move from Tab1 to Tab7", "Move from Tab2 to Tab5", "None of these moves are both valid and effective" ]
klondike
Pattern Recognition & Matching
State Prediction
3
Which will happen until this process ends if the snake moves like this each step:
Hard
Hard
This is a Snake game. The yellow block is the head of the snake. The blue block is the body of the snake. The red block is the food. The coordinates (x, y) in the grid represent the matrix format, where x is the row index and y is the column index. The origin (0,0) is in the the upper left of the grid. You need to cont...
0
[ "The snake hits the bound of the grid.", "The snake hits its body.", "The snake reaches the food.", "Nothing happens." ]
snake
Strategy Planning
State Prediction
2
Questions about predicting the number of live cells after 1 iteration
Easy
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-...
B
[ "A: 8", "B: 9", "C: 1", "D: 0", "E: 7", "F: 6", "G: 4", "H: 3" ]
lifegame
Multi-step Reasoning
State Prediction
1
head_state
Medium
Medium
Rules: State 0, Symbol 0 -> Write 4, Move left, New State 1 State 0, Symbol 1 -> Write 3, Move up, New State 1 State 0, Symbol 2 -> Write 1, Move left, New State 1 State 0, Symbol 3 -> Write 0, Move up, New State 1 State 0, Symbol 4 -> Write 2, Move left, New State 0 State 1, Symbol 0 -> Write 0, Move down, New State 1...
5
[ "[0]", "(2)", "(4)", "(0)", "[3]", "[2]", "(3)", "[4]" ]
2d_turing_machine
Multi-step Reasoning
State Prediction
3
Simulate clear operation
Easy
Medium
# **Game Overview** Jewel2 is a strategic puzzle game played on a grid. Your primary objective is to eliminate elements by forming horizontal or vertical lines of three or more identical items. Successfully eliminating elements increases your score and clears space on the board for new elements to appear. # **Element...
B
[ "A. Nothing will happen because the clear does not meet elimination conditions.", "B. Trigger a special element, total cleared becomes 37.", "C. Perform elimination, eliminate 1 elements, total cleared becomes 38.", "D. Perform elimination, eliminate 1 elements, total cleared becomes 37.E. Perform elimination...
jewel2
Pattern Recognition & Matching
Target Perception
3
Check cell state
Hard
Easy
This is a Minesweeper game. The size of the chessboard is 6x6, and there are a total of 8 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...
A
[ "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
Target Perception
2
Ask the position of goal within the maze.
Medium
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...
E
[ "A. (3, 10)", "B. (4, 9)", "C. (3, 8)", "D. (2, 9)", "E. (3, 9)" ]
maze
Strategy Planning
Target Perception
5
Find the points the given player has got within the given Nine-grid.
Medium
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...
8
[ "14", "10", "7", "8", "9", "6", "4", "0" ]
ultra_tictactoe
Strategy Planning
State Prediction
4
Predict cell reveal outcome
Hard
Hard
This is a Minesweeper game. The size of the chessboard is 6x6, and there are a total of 8 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 8. ", "D: The cell will reveal the number 2." ]
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 ...
4
[ "1, 2", "None", "1, 2, 3", "2, 3", "1", "1, 3", "3", "2" ]
3d_maze
3D Spatial Perception & Reasoning
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 ...
1
[ "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
Target Perception
1
Ask the number of enemies in a column
Hard
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...
2
[ "3", "4", "5", "6", "7", "8", "9", "10" ]
space_invaders
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 4, column 1? Options: 1: I 2: H 3: R 4: A 5: X 6: V 7: G 8: S
8
[ "I", "H", "R", "A", "X", "V", "G", "S" ]
word_search
Multi-step Reasoning
Target Perception
1
Find which player marked the cell at a given coordinate.
Medium
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...
1
[ "First Player", "Second Player", "Not Marked" ]
ultra_tictactoe
Strategy Planning
State Prediction
2
Given the current game state, identify which of the following moves is valid according to FreeCell rules.
Easy
Medium
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 must be moved according to specific rules: 1. Cards in casc...
2
[ "Move (Club,2) from FreeCell 3 to Cascade 7", "Move (Heart,2) from Cascade 4 to FreeCell 2", "Move (Club,6) from FreeCell 1 to FreeCell 1", "Move (Club,6) from Cascade 5 to FreeCell 0" ]
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 Queen in f4 to capture...
B
[ "A.2", "B.1", "C.4", "D.3", "E.234", "F.14", "G.123", "H.None" ]
chess_ranger
Strategy Planning
Target Perception
5
Find the points the given player has got within the given Nine-grid.
Medium
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...
2
[ "9", "1", "4", "10", "15", "12", "3", "11" ]
ultra_tictactoe
Strategy Planning
State Prediction
5
piece_placement
Hard
Hard
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. Two adjacent pieces have been removed from the board. 5. A valid placement is one where both pieces fit into the hole wi...
5
[ "(0,4) to (4,5)", "(0,1) to (4,2)", "(1,2) to (5,3)", "(3,1) to (7,2)", "(5,0) to (9,1)", "(1,1) to (5,2)", "(1,5) to (5,6)", "(2,4) to (6,5)" ]
tengram
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 4, column 1? Options: 1: D 2: U 3: C 4: O 5: N 6: J 7: I 8: V
1
[ "D", "U", "C", "O", "N", "J", "I", "V" ]
word_search
Multi-step Reasoning
Target Perception
3
piece_area
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. A piece's area is the number of cells it contains. Question: What is the area (number of cells) of Piece 6? Options: 1...
4
[ "3", "4", "5", "6", "7", "8", "9", "10" ]
tengram
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...
C
[ "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
1
Asking the number of moves to solve 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.How many steps are needed to solve the puzzle?Choose from the following options:A.7,B.6,C.8...
H
[ "A.7", "B.6", "C.8", "D.3", "E.2", "F.5", "G.9", "H.4" ]
chess_ranger
Strategy Planning
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?
Medium
Medium
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 ...
1
[ "(1,3)", "(1,0)", "(3,1)", "(0,3)", "(4,4)", "(4,5)", "(0,4)", "(5,5)" ]
star_battle
Multi-step Reasoning
Target Perception
3
Find the number of marked middle cells in the image.
Medium
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...
6
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9" ]
ultra_tictactoe
Strategy Planning
State Prediction
3
Simulate clear operation
Medium
Medium
# **Game Overview** Jewel2 is a strategic puzzle game played on a grid. Your primary objective is to eliminate elements by forming horizontal or vertical lines of three or more identical items. Successfully eliminating elements increases your score and clears space on the board for new elements to appear. # **Element...
B
[ "A. Nothing will happen because the clear does not meet elimination conditions.", "B. Trigger a special element, total cleared becomes 77.", "C. Perform elimination, eliminate 2 elements, total cleared becomes 73.", "D. Perform elimination, eliminate 1 elements, total cleared becomes 69.E. Perform elimination...
jewel2
Pattern Recognition & Matching
Target Perception
5
Count specific colors on a face
Hard
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...
2
[ "7", "2", "5", "4", "3", "1", "6", "0" ]
rubiks_cube
3D Spatial Perception & Reasoning
State Prediction
4
Predict card move result
Easy
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
0
position
Medium
Medium
Rules: State 0, Symbol 0 -> Write 0, Move up, New State 1 State 0, Symbol 1 -> Write 0, Move left, New State 1 State 0, Symbol 2 -> Write 1, Move down, New State 0 State 0, Symbol 3 -> Write 1, Move right, New State 1 State 1, Symbol 0 -> Write 2, Move right, New State 0 State 1, Symbol 1 -> Write 2, Move up, New State...
5
[ "(3, 0)", "(2, 2)", "(1, 2)", "(4, 0)", "(2, 1)", "(0, 2)", "(4, 2)", "(0, 1)" ]
2d_turing_machine
Multi-step Reasoning
Strategy Optimization
3
Questions about the outcome to take a specific move of the current player of the board, and the optimal strategy to take a move of the opponent player after the specific move.
Hard
Hard
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.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
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 -> 1 -> 2 -> Goal", "Start -> 2 -> 3 -> 1 -> Goal", "Start -> 3 -> 2 -> 1 -> Goal", "Start -> 2 -> 1 -> 3 -> Goal", "Start -> 1 -> 2 -> 3 -> Goal", "Start -> 1 -> 3 -> 2 -> Goal" ]
3d_maze
3D Spatial Perception & Reasoning
Strategy Optimization
3
Determine the minimum number of moves needed to solve the puzzle
Hard
Hard
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 minimum number of moves needed to solve this puzzle? Options: [1] 11 [...
7
[ "11", "16", "12", "6", "8", "7", "9", "10" ]
sokoban
Strategy Planning
Target Perception
2
Given the coordinate of last step, find the number of possible coordinates of next step.
Medium
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...
7
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9" ]
ultra_tictactoe
Strategy Planning
State Prediction
2
Given the current game state, identify which of the following moves is valid according to FreeCell rules.
Easy
Medium
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 must be moved according to specific rules: 1. Cards in casc...
3
[ "Move (Club,1) from FreeCell 0 to FreeCell 2", "Move (Club,6) from FreeCell 3 to Cascade 4", "Move (Diamond,9) from Cascade 6 to FreeCell 2", "Move (Club,10) from Cascade 1 to FreeCell 3" ]
freecell
Pattern Recognition & Matching
Target Perception
2
Identify the closest ghost
Hard
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. Blinky 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
State Prediction
2
Given a sequence of moves, predict the final position of the box
Medium
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...
1
[ "(3, 3)", "(6, 1)", "(4, 1)", "(1, 3)", "(3, 1)", "(5, 5)", "(5, 1)", "(4, 6)" ]
sokoban
Strategy Planning
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 < 1 < 3", "2 < 1 = 3", "3 < 1 = 2", "1 = 2 < 3", "1 < 2 < 3", "3 < 2 < 1", "3 < 1 < 2", "2 < 3 < 1" ]
3d_maze
3D Spatial Perception & Reasoning
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...
B
[ "A. (3, 4)", "B. (2, 5)", "C. (3, 5)", "D. (4, 5)", "E. (3, 6)" ]
maze
Strategy Planning
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 C? Options: Colors are numbered from 1...
5
[ "1", "2", "3", "4", "5", "6" ]
hue
Pattern Recognition & Matching
Target Perception
1
Find which player marked the cell at a given coordinate.
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...
1
[ "First Player", "Second Player", "Not Marked" ]
ultra_tictactoe
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.
Easy
Hard
In this FreeCell game: we have 8 cascade piles, 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 moved to a...
6
[ "(Heart, 9)", "(Heart, 6)", "(Club, 9)", "(Heart, 1)", "(Club, 2)", "(Diamond, K)", "(Spade, 7)", "(Club, 1)" ]
freecell
Pattern Recognition & Matching
Strategy Optimization
3
A move_effectiveness question about the current state of Klondike Solitaire
Hard
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 (...
3
[ "Move from Tab5 to Tab7", "Move from Tab6 to Tab7", "Move from Tab2 to Foundation 1", "Move from Tab3 to Tab6", "Move from Tab2 to Tab3", "Move from Tab5 to Tab6", "Move from Tab1 to Tab5", "None of these moves are both valid and effective" ]
klondike
Pattern Recognition & Matching
Target Perception
1
Ask to recognize the sceneries in the scene.
Hard
Easy
You are provided with a game interface that mimics "Minecraft", where all objects are composed of equal-sized cubes. Players build and explore in this world. They have numerous blocks and can place them following the basic placement rules of "Minecraft." In simple terms, players can place blocks around their current po...
6
[ "River, Ladder, Brick, Diamond Ore, Tree", "Gold Ore, Tree, River, Diamond Ore, Ladder", "Tree, Gold Ore, Lava, River, Brick", "Lava, Diamond Ore, Pumpkin, River, TNT", "River, Ladder, Lava, TNT, Tree", "Pumpkin, Brick, Ladder, Gold Ore, River", "Pumpkin, Gold Ore, Lava, Brick, River", "Tree, Diamond ...
minecraft
3D Spatial Perception & Reasoning
Strategy Optimization
5
Determine optimal move
Medium
Hard
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...
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
2
Choose how the given 3D structure's projections match with the target projections.
Hard
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
Given current state and an index of a region.You should idectify which cell provided in the options belongs the region.
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
[ "(4,6)", "(0,6)", "(7,1)", "(7,0)", "(6,1)", "(6,0)", "(3,2)", "(7,5)" ]
star_battle
Multi-step Reasoning
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 2? Options: 1: 0 2: 2 3: 4 4: 1 5: 5 6: 7 7: 3 8: 6
7
[ "0", "2", "4", "1", "5", "7", "3", "6" ]
tengram
Pattern Recognition & Matching
State Prediction
1
head_state
Easy
Medium
Rules: State 0, Symbol 0 -> Write 4, Move up, New State 1 State 0, Symbol 1 -> Write 1, Move down, New State 0 State 0, Symbol 2 -> Write 4, Move left, New State 1 State 0, Symbol 3 -> Write 3, Move down, New State 1 State 0, Symbol 4 -> Write 3, Move right, New State 1 State 1, Symbol 0 -> Write 0, Move left, New Stat...
8
[ "[2]", "(1)", "(2)", "[1]", "(3)", "[3]", "(0)", "[0]" ]
2d_turing_machine
Multi-step Reasoning
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 1, column 4? Options: 1: Y 2: P 3: E 4: T 5: M 6: R 7: K 8: Z
4
[ "Y", "P", "E", "T", "M", "R", "K", "Z" ]
word_search
Multi-step Reasoning
State Prediction
0
path_finding
Medium
Hard
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 where player must choose a path...
3
[ "1-right-forward, 2-left-forward, 3-left-forward, 4-left-forward", "1-right-forward, 2-right-forward, 3-left-forward, 4-left-forward", "1-right-forward, 2-right-forward, 3-up, 4-up", "1-right-forward, 2-left-forward, 3-up, 4-left-forward", "1-left-forward, 2-left-forward, 3-up, 4-left-forward", "1-left-fo...
3d_maze
3D Spatial Perception & 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 ...
7
[ "(1,4)", "(1,5)", "(7,2)", "(0,5)", "(1,2)", "(7,4)", "(2,4)", "(4,4)" ]
star_battle
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 'N' appear in the grid? Options: 1: 3 2: 1 3: 6 4: 13 5: 0 6: 8 7: 4 8: 2
2
[ "3", "1", "6", "13", "0", "8", "4", "2" ]
word_search
Multi-step Reasoning
Target Perception
4
The color of the marble that the frog hits if it shoots at 179 degrees.
Medium
Medium
This is a Zuma game. You need to control a frog to shoot colored marbles from its mouth toward a winding track of approaching marbles. Your goal is to clear all marbles before they reach the black hole at the end of the track. The marbles roll steadily along the track, and the player must fire marbles to create groups ...
green
[ "red", "yellow", "blue", "green", "none" ]
zuma
Pattern Recognition & Matching
State Prediction
6
The position after moving.
Medium
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...
D
[ "A. (5, 9)", "B. (4, 8)", "C. (4, 9)", "D. (3, 9)", "E. (4, 10)" ]
maze
Strategy Planning
Target Perception
3
Check cell state
Easy
Easy
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...
A
[ "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
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] (3, 3) [2] (...
2
[ "(3, 3)", "(6, 1)", "(3, 6)", "(4, 5)", "(4, 1)", "(2, 2)", "(6, 2)", "(2, 6)" ]
sokoban
Strategy Planning
State Prediction
3
Which will happen until this process ends if the snake moves like this each step:
Easy
Hard
This is a Snake game. The yellow block is the head of the snake. The blue block is the body of the snake. The red block is the food. The coordinates (x, y) in the grid represent the matrix format, where x is the row index and y is the column index. The origin (0,0) is in the the upper left of the grid. You need to cont...
3
[ "The snake hits the bound of the grid.", "The snake hits its body.", "The snake reaches the food.", "Nothing happens." ]
snake
Strategy Planning
Target Perception
2
Choose how the given 3D structure's projections match with the target projections.
Medium
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
8
which of the following positions contains a tree?
Medium
Easy
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...
3
[ "[7, 0]", "[0, 2]", "[9, 0]", "[2, 8]", "[9, 2]", "[2, 1]", "[5, 9]", "[6, 6]" ]
tents
Multi-step Reasoning
State Prediction
2
Given the current game state, identify which of the following moves is valid according to FreeCell rules.
Medium
Medium
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 must be moved according to specific rules: 1. Cards in cascade pi...
1
[ "Move (Spade,1) from Cascade 5 to Foundation Diamond", "Move (Club,2) from FreeCell 0 to FreeCell 2", "Move (Heart,2) from FreeCell 3 to Cascade 5", "Move (Club,6) from FreeCell 0 to Foundation Diamond" ]
freecell
Pattern Recognition & Matching
Target Perception
1
Find the type of the block in a given coordinate.
Easy
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
Strategy Optimization
5
Determine optimal move
Hard
Hard
This is a Minesweeper game. The size of the chessboard is 6x6, and there are a total of 8 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. 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
State Prediction
5
Multi-step deductive reasoning with constraints analysis
Medium
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...
I
[ "A.red", "B.green", "C.blue", "D.magenta", "E.yellow", "F.aqua", "G.gray", "H.purple", "I.forest green" ]
sudoku
Multi-step 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 -> 3 -> 2 -> Goal", "Start -> 2 -> 3 -> 1 -> Goal", "Start -> 3 -> 2 -> 1 -> Goal", "Start -> 3 -> 1 -> 2 -> Goal", "Start -> 1 -> 2 -> 3 -> Goal", "Start -> 2 -> 1 -> 3 -> Goal" ]
3d_maze
3D Spatial Perception & Reasoning
Strategy Optimization
3
Questions about the outcome to take a specific move of the current player of the board, and the optimal strategy to take a move of the opponent player after the specific move.
Easy
Hard
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
1
Asking the number of moves to solve 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.How many steps are needed to solve the puzzle?Choose from the following options:A.5,B.4,C.9...
B
[ "A.5", "B.4", "C.9", "D.3", "E.8", "F.2", "G.6", "H.7" ]
chess_ranger
Strategy Planning
Strategy Optimization
3
Questions about the outcome to take a specific move of the current player of the board, and the optimal strategy to take a move of the opponent player after the specific move.
Hard
Hard
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.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
Given the current game state, identify which of the following moves is valid according to FreeCell rules.
Medium
Medium
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 must be moved according to specific rules: 1. Cards in cascade pi...
4
[ "Move (Diamond,5) from Cascade 2 to FreeCell 2", "Move (Club,10) from FreeCell 0 to Foundation Spade", "Move (Diamond,12) from FreeCell 0 to FreeCell 0", "Move (Spade,8) from Cascade 2 to FreeCell 2" ]
freecell
Pattern Recognition & Matching
Strategy Optimization
6
Find the optimal sequence of moves to reach a specific position
Hard
Hard
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 the boxes as walls,What is the shortest sequence of moves for human to move h...
1
[ "Up β†’ Up β†’ Up β†’ Up β†’ Up β†’ Up β†’ Up β†’ Right β†’ Right β†’ Right β†’ Right", "Up β†’ Up β†’ Left β†’ Up β†’ Up β†’ Up β†’ Right β†’ Right β†’ Right β†’ Right β†’ Left", "Up β†’ Up β†’ Left β†’ Up β†’ Up β†’ Up β†’ Right β†’ Right β†’ Right β†’ Right β†’ Right", "Up β†’ Down β†’ Up β†’ Down β†’ Up β†’ Up β†’ Up β†’ Right β†’ Up β†’ Right β†’ Left", "Left β†’ Right β†’ Left β†’ Left...
sokoban
Strategy Planning
Target Perception
5
Count specific colors on a face
Hard
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...
3
[ "3", "2", "9", "5", "4", "8", "6", "7" ]
rubiks_cube
3D Spatial Perception & Reasoning
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
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...
B
[ "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
1
Given a sequence of player moves, predict the final position of the player
Medium
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.If the player makes these moves: Down β†’ Right β†’ Down β†’ Down β†’ Left β†’ Left β†’ Down β†’ ...
4
[ "(1, 2)", "(2, 6)", "(6, 2)", "(6, 1)", "(4, 5)", "(3, 1)", "(6, 4)", "(1, 3)" ]
sokoban
Strategy Planning
State Prediction
3
Questions about counting state changes of specific cells over iterations
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-...
A
[ "A: Initially: dead β†’ Step 1: alive β†’ Step 2: alive β†’ Step 3: dead", "B: Initially: dead β†’ Step 1: dead β†’ Step 2: dead β†’ Step 3: alive", "C: Initially: dead β†’ Step 1: dead β†’ Step 2: alive β†’ Step 3: dead", "D: Initially: dead β†’ Step 1: alive β†’ Step 2: alive β†’ Step 3: alive", "E: Initially: alive β†’ Step 1: al...
lifegame
Multi-step Reasoning
Target Perception
2
Given the coordinate of last step, find the number of possible coordinates of next step.
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...
4
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9" ]
ultra_tictactoe
Strategy Planning
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] (...
4
[ "(1, 2)", "(6, 1)", "(1, 5)", "(3, 3)", "(6, 3)", "(3, 6)", "(6, 6)", "(2, 5)" ]
sokoban
Strategy Planning
Target Perception
0
Choose a random coordinate and ask what status is the cooradinate
Hard
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 ...
3
[ "PLAYER_0", "PLAYER_1", "Empty", "Index out of bound" ]
pyramidchess
3D Spatial Perception & 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, 1) [2] (...
3
[ "(1, 1)", "(2, 5)", "(1, 3)", "(6, 4)", "(2, 6)", "(6, 6)", "(3, 6)", "(6, 3)" ]
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...
5
[ "(Heart, A)", "(Spade, J)", "(Heart, J)", "(Spade, 4)", "(Spade, 8)", "(Club, Q)", "(Club, A)", "(Spade, 1)" ]
freecell
Pattern Recognition & Matching
State Prediction
0
position
Hard
Medium
Rules: State 0, Symbol 0 -> Write 1, Move up, New State 0 State 0, Symbol 1 -> Write 1, Move down, New State 0 State 0, Symbol 2 -> Write 1, Move up, New State 2 State 1, Symbol 0 -> Write 2, Move up, New State 0 State 1, Symbol 1 -> Write 2, Move right, New State 0 State 1, Symbol 2 -> Write 2, Move right, New State 0...
1
[ "(4, 2)", "(3, 4)", "(3, 3)", "(4, 1)", "(3, 0)", "(0, 2)", "(1, 2)", "(0, 0)" ]
2d_turing_machine
Multi-step Reasoning
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.
Easy
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