prompt
stringlengths 275
19.1k
| reward_model
stringlengths 898
44.3k
| data_source
stringclasses 36
values | ability
stringclasses 1
value | extra_info
stringlengths 24
49
| answer
stringlengths 1
2.76k
| meta
stringlengths 280
22.1k
| task_type
stringclasses 7
values | task_name
stringclasses 36
values |
|---|---|---|---|---|---|---|---|---|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
X | | X
---------
O | O | X
---------
O | |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nX | | X\\n---------\\nO | O | X\\n---------\\nO | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"X\", \"X\"], [\"O\", \"O\", \"X\"], [\"O\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_195\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nX | | X\\\\n---------\\\\nO | O | X\\\\n---------\\\\nO | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"O\\\", \\\"X\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"X\\\", \\\"X\\\"], [\\\"O\\\", \\\"O\\\", \\\"X\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_195"}
|
[['X', 'X', 'X'], ['O', 'O', 'X'], ['O', '', '']]
|
{"id": "ttt_medium_195", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nX | | X\n---------\nO | O | X\n---------\nO | | \n\n\n", "current_board": [["X", "", "X"], ["O", "O", "X"], ["O", "", ""]], "active_player": "X", "answer": [["X", "X", "X"], ["O", "O", "X"], ["O", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
| |
---------
O | X | X
---------
X | O |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\n | | \\n---------\\nO | X | X\\n---------\\nX | O | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"\", \"\", \"O\"], [\"O\", \"X\", \"X\"], [\"X\", \"O\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_250\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\n | | \\\\n---------\\\\nO | X | X\\\\n---------\\\\nX | O | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"\\\"], [\\\"O\\\", \\\"X\\\", \\\"X\\\"], [\\\"X\\\", \\\"O\\\", \\\"\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"\\\", \\\"\\\", \\\"O\\\"], [\\\"O\\\", \\\"X\\\", \\\"X\\\"], [\\\"X\\\", \\\"O\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_250"}
|
[['', '', 'O'], ['O', 'X', 'X'], ['X', 'O', '']]
|
{"id": "ttt_medium_250", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\n | | \n---------\nO | X | X\n---------\nX | O | \n\n\n", "current_board": [["", "", ""], ["O", "X", "X"], ["X", "O", ""]], "active_player": "O", "answer": [["", "", "O"], ["O", "X", "X"], ["X", "O", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
X | X | O
---------
| | O
---------
| | X
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\nX | X | O\\n---------\\n | | O\\n---------\\n | | X\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"X\", \"O\"], [\"\", \"O\", \"O\"], [\"\", \"\", \"X\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_124\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\nX | X | O\\\\n---------\\\\n | | O\\\\n---------\\\\n | | X\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"X\\\", \\\"O\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"], [\\\"\\\", \\\"\\\", \\\"X\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"X\\\", \\\"X\\\", \\\"O\\\"], [\\\"\\\", \\\"O\\\", \\\"O\\\"], [\\\"\\\", \\\"\\\", \\\"X\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_124"}
|
[['X', 'X', 'O'], ['', 'O', 'O'], ['', '', 'X']]
|
{"id": "ttt_medium_124", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\nX | X | O\n---------\n | | O\n---------\n | | X\n\n\n", "current_board": [["X", "X", "O"], ["", "", "O"], ["", "", "X"]], "active_player": "O", "answer": [["X", "X", "O"], ["", "O", "O"], ["", "", "X"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
O | X | O
---------
| X | X
---------
O | |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nO | X | O\\n---------\\n | X | X\\n---------\\nO | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"X\", \"O\"], [\"X\", \"X\", \"X\"], [\"O\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_981\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nO | X | O\\\\n---------\\\\n | X | X\\\\n---------\\\\nO | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"O\\\", \\\"X\\\", \\\"O\\\"], [\\\"\\\", \\\"X\\\", \\\"X\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"O\\\", \\\"X\\\", \\\"O\\\"], [\\\"X\\\", \\\"X\\\", \\\"X\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_981"}
|
[['O', 'X', 'O'], ['X', 'X', 'X'], ['O', '', '']]
|
{"id": "ttt_medium_981", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nO | X | O\n---------\n | X | X\n---------\nO | | \n\n\n", "current_board": [["O", "X", "O"], ["", "X", "X"], ["O", "", ""]], "active_player": "X", "answer": [["O", "X", "O"], ["X", "X", "X"], ["O", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
| X | X
---------
| | X
---------
O | | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\n | X | X\\n---------\\n | | X\\n---------\\nO | | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"X\", \"X\"], [\"\", \"\", \"X\"], [\"O\", \"\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_141\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\n | X | X\\\\n---------\\\\n | | X\\\\n---------\\\\nO | | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"X\\\", \\\"X\\\"], [\\\"\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"O\\\", \\\"X\\\", \\\"X\\\"], [\\\"\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_141"}
|
[['O', 'X', 'X'], ['', '', 'X'], ['O', '', 'O']]
|
{"id": "ttt_medium_141", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\n | X | X\n---------\n | | X\n---------\nO | | O\n\n\n", "current_board": [["", "X", "X"], ["", "", "X"], ["O", "", "O"]], "active_player": "O", "answer": [["O", "X", "X"], ["", "", "X"], ["O", "", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
X | | O
---------
X | |
---------
| | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nX | | O\\n---------\\nX | | \\n---------\\n | | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"\", \"O\"], [\"X\", \"\", \"X\"], [\"\", \"\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_897\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nX | | O\\\\n---------\\\\nX | | \\\\n---------\\\\n | | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"X\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_897"}
|
[['X', '', 'O'], ['X', '', 'X'], ['', '', 'O']]
|
{"id": "ttt_medium_897", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nX | | O\n---------\nX | | \n---------\n | | O\n\n\n", "current_board": [["X", "", "O"], ["X", "", ""], ["", "", "O"]], "active_player": "X", "answer": [["X", "", "O"], ["X", "", "X"], ["", "", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
X | O |
---------
X | O | X
---------
| |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\nX | O | \\n---------\\nX | O | X\\n---------\\n | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"O\", \"\"], [\"X\", \"O\", \"X\"], [\"O\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_489\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\nX | O | \\\\n---------\\\\nX | O | X\\\\n---------\\\\n | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"X\\\", \\\"O\\\", \\\"X\\\"], [\\\"\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"X\\\", \\\"O\\\", \\\"X\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_489"}
|
[['X', 'O', ''], ['X', 'O', 'X'], ['O', '', '']]
|
{"id": "ttt_medium_489", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\nX | O | \n---------\nX | O | X\n---------\n | | \n\n\n", "current_board": [["X", "O", ""], ["X", "O", "X"], ["", "", ""]], "active_player": "O", "answer": [["X", "O", ""], ["X", "O", "X"], ["O", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
X | O | O
---------
O | X |
---------
| X |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nX | O | O\\n---------\\nO | X | \\n---------\\n | X | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"O\", \"O\"], [\"O\", \"X\", \"\"], [\"\", \"X\", \"X\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_44\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nX | O | O\\\\n---------\\\\nO | X | \\\\n---------\\\\n | X | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"O\\\", \\\"O\\\"], [\\\"O\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"X\\\", \\\"\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"O\\\", \\\"O\\\"], [\\\"O\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"X\\\", \\\"X\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_44"}
|
[['X', 'O', 'O'], ['O', 'X', ''], ['', 'X', 'X']]
|
{"id": "ttt_medium_44", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nX | O | O\n---------\nO | X | \n---------\n | X | \n\n\n", "current_board": [["X", "O", "O"], ["O", "X", ""], ["", "X", ""]], "active_player": "X", "answer": [["X", "O", "O"], ["O", "X", ""], ["", "X", "X"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
| X |
---------
O | | X
---------
O | X | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\n | X | \\n---------\\nO | | X\\n---------\\nO | X | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"X\", \"\"], [\"O\", \"\", \"X\"], [\"O\", \"X\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_525\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\n | X | \\\\n---------\\\\nO | | X\\\\n---------\\\\nO | X | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"X\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"X\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"X\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_525"}
|
[['X', 'X', ''], ['O', '', 'X'], ['O', 'X', 'O']]
|
{"id": "ttt_medium_525", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\n | X | \n---------\nO | | X\n---------\nO | X | O\n\n\n", "current_board": [["", "X", ""], ["O", "", "X"], ["O", "X", "O"]], "active_player": "X", "answer": [["X", "X", ""], ["O", "", "X"], ["O", "X", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
| O | X
---------
X | |
---------
O | |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\n | O | X\\n---------\\nX | | \\n---------\\nO | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"\", \"O\", \"X\"], [\"X\", \"\", \"X\"], [\"O\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_16\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\n | O | X\\\\n---------\\\\nX | | \\\\n---------\\\\nO | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"O\\\", \\\"X\\\"], [\\\"X\\\", \\\"\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"\\\", \\\"O\\\", \\\"X\\\"], [\\\"X\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_16"}
|
[['', 'O', 'X'], ['X', '', 'X'], ['O', '', '']]
|
{"id": "ttt_medium_16", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\n | O | X\n---------\nX | | \n---------\nO | | \n\n\n", "current_board": [["", "O", "X"], ["X", "", ""], ["O", "", ""]], "active_player": "X", "answer": [["", "O", "X"], ["X", "", "X"], ["O", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
| |
---------
| X |
---------
X | O | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\n | | \\n---------\\n | X | \\n---------\\nX | O | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"\", \"\"], [\"\", \"X\", \"\"], [\"X\", \"O\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_838\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\n | | \\\\n---------\\\\n | X | \\\\n---------\\\\nX | O | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"\\\"], [\\\"\\\", \\\"X\\\", \\\"\\\"], [\\\"X\\\", \\\"O\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"\\\", \\\"\\\"], [\\\"\\\", \\\"X\\\", \\\"\\\"], [\\\"X\\\", \\\"O\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_838"}
|
[['X', '', ''], ['', 'X', ''], ['X', 'O', 'O']]
|
{"id": "ttt_medium_838", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\n | | \n---------\n | X | \n---------\nX | O | O\n\n\n", "current_board": [["", "", ""], ["", "X", ""], ["X", "O", "O"]], "active_player": "X", "answer": [["X", "", ""], ["", "X", ""], ["X", "O", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
| X | O
---------
O | | X
---------
| X | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\n | X | O\\n---------\\nO | | X\\n---------\\n | X | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"\", \"X\", \"O\"], [\"O\", \"X\", \"X\"], [\"\", \"X\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_83\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\n | X | O\\\\n---------\\\\nO | | X\\\\n---------\\\\n | X | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"X\\\", \\\"O\\\"], [\\\"O\\\", \\\"\\\", \\\"X\\\"], [\\\"\\\", \\\"X\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"\\\", \\\"X\\\", \\\"O\\\"], [\\\"O\\\", \\\"X\\\", \\\"X\\\"], [\\\"\\\", \\\"X\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_83"}
|
[['', 'X', 'O'], ['O', 'X', 'X'], ['', 'X', 'O']]
|
{"id": "ttt_medium_83", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\n | X | O\n---------\nO | | X\n---------\n | X | O\n\n\n", "current_board": [["", "X", "O"], ["O", "", "X"], ["", "X", "O"]], "active_player": "X", "answer": [["", "X", "O"], ["O", "X", "X"], ["", "X", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
| O |
---------
X | | X
---------
| O |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\n | O | \\n---------\\nX | | X\\n---------\\n | O | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"\", \"O\", \"\"], [\"X\", \"X\", \"X\"], [\"\", \"O\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_261\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\n | O | \\\\n---------\\\\nX | | X\\\\n---------\\\\n | O | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"O\\\", \\\"\\\"], [\\\"X\\\", \\\"\\\", \\\"X\\\"], [\\\"\\\", \\\"O\\\", \\\"\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"\\\", \\\"O\\\", \\\"\\\"], [\\\"X\\\", \\\"X\\\", \\\"X\\\"], [\\\"\\\", \\\"O\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_261"}
|
[['', 'O', ''], ['X', 'X', 'X'], ['', 'O', '']]
|
{"id": "ttt_medium_261", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\n | O | \n---------\nX | | X\n---------\n | O | \n\n\n", "current_board": [["", "O", ""], ["X", "", "X"], ["", "O", ""]], "active_player": "X", "answer": [["", "O", ""], ["X", "X", "X"], ["", "O", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
| |
---------
X | O | X
---------
| X | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\n | | \\n---------\\nX | O | X\\n---------\\n | X | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"\", \"\"], [\"X\", \"O\", \"X\"], [\"\", \"X\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_722\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\n | | \\\\n---------\\\\nX | O | X\\\\n---------\\\\n | X | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"\\\"], [\\\"X\\\", \\\"O\\\", \\\"X\\\"], [\\\"\\\", \\\"X\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"O\\\", \\\"\\\", \\\"\\\"], [\\\"X\\\", \\\"O\\\", \\\"X\\\"], [\\\"\\\", \\\"X\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_722"}
|
[['O', '', ''], ['X', 'O', 'X'], ['', 'X', 'O']]
|
{"id": "ttt_medium_722", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\n | | \n---------\nX | O | X\n---------\n | X | O\n\n\n", "current_board": [["", "", ""], ["X", "O", "X"], ["", "X", "O"]], "active_player": "O", "answer": [["O", "", ""], ["X", "O", "X"], ["", "X", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
| | O
---------
| X | X
---------
| O | X
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\n | | O\\n---------\\n | X | X\\n---------\\n | O | X\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"\", \"O\"], [\"\", \"X\", \"X\"], [\"\", \"O\", \"X\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_449\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\n | | O\\\\n---------\\\\n | X | X\\\\n---------\\\\n | O | X\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"O\\\"], [\\\"\\\", \\\"X\\\", \\\"X\\\"], [\\\"\\\", \\\"O\\\", \\\"X\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"O\\\", \\\"\\\", \\\"O\\\"], [\\\"\\\", \\\"X\\\", \\\"X\\\"], [\\\"\\\", \\\"O\\\", \\\"X\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_449"}
|
[['O', '', 'O'], ['', 'X', 'X'], ['', 'O', 'X']]
|
{"id": "ttt_medium_449", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\n | | O\n---------\n | X | X\n---------\n | O | X\n\n\n", "current_board": [["", "", "O"], ["", "X", "X"], ["", "O", "X"]], "active_player": "O", "answer": [["O", "", "O"], ["", "X", "X"], ["", "O", "X"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
| | X
---------
| O | O
---------
| X | X
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\n | | X\\n---------\\n | O | O\\n---------\\n | X | X\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"\", \"\", \"X\"], [\"O\", \"O\", \"O\"], [\"\", \"X\", \"X\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_26\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\n | | X\\\\n---------\\\\n | O | O\\\\n---------\\\\n | X | X\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"X\\\"], [\\\"\\\", \\\"O\\\", \\\"O\\\"], [\\\"\\\", \\\"X\\\", \\\"X\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"O\\\", \\\"O\\\"], [\\\"\\\", \\\"X\\\", \\\"X\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_26"}
|
[['', '', 'X'], ['O', 'O', 'O'], ['', 'X', 'X']]
|
{"id": "ttt_medium_26", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\n | | X\n---------\n | O | O\n---------\n | X | X\n\n\n", "current_board": [["", "", "X"], ["", "O", "O"], ["", "X", "X"]], "active_player": "O", "answer": [["", "", "X"], ["O", "O", "O"], ["", "X", "X"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
| |
---------
O | | X
---------
O | X |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\n | | \\n---------\\nO | | X\\n---------\\nO | X | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"\", \"\"], [\"O\", \"\", \"X\"], [\"O\", \"X\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_278\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\n | | \\\\n---------\\\\nO | | X\\\\n---------\\\\nO | X | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"X\\\", \\\"\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"X\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_278"}
|
[['X', '', ''], ['O', '', 'X'], ['O', 'X', '']]
|
{"id": "ttt_medium_278", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\n | | \n---------\nO | | X\n---------\nO | X | \n\n\n", "current_board": [["", "", ""], ["O", "", "X"], ["O", "X", ""]], "active_player": "X", "answer": [["X", "", ""], ["O", "", "X"], ["O", "X", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
O | X | O
---------
| X | X
---------
| | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nO | X | O\\n---------\\n | X | X\\n---------\\n | | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"X\", \"O\"], [\"X\", \"X\", \"X\"], [\"\", \"\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_233\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nO | X | O\\\\n---------\\\\n | X | X\\\\n---------\\\\n | | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"O\\\", \\\"X\\\", \\\"O\\\"], [\\\"\\\", \\\"X\\\", \\\"X\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"O\\\", \\\"X\\\", \\\"O\\\"], [\\\"X\\\", \\\"X\\\", \\\"X\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_233"}
|
[['O', 'X', 'O'], ['X', 'X', 'X'], ['', '', 'O']]
|
{"id": "ttt_medium_233", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nO | X | O\n---------\n | X | X\n---------\n | | O\n\n\n", "current_board": [["O", "X", "O"], ["", "X", "X"], ["", "", "O"]], "active_player": "X", "answer": [["O", "X", "O"], ["X", "X", "X"], ["", "", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
X | X | O
---------
| | O
---------
| |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nX | X | O\\n---------\\n | | O\\n---------\\n | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"X\", \"O\"], [\"X\", \"\", \"O\"], [\"\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_282\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nX | X | O\\\\n---------\\\\n | | O\\\\n---------\\\\n | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"X\\\", \\\"O\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"], [\\\"\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"X\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"O\\\"], [\\\"\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_282"}
|
[['X', 'X', 'O'], ['X', '', 'O'], ['', '', '']]
|
{"id": "ttt_medium_282", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nX | X | O\n---------\n | | O\n---------\n | | \n\n\n", "current_board": [["X", "X", "O"], ["", "", "O"], ["", "", ""]], "active_player": "X", "answer": [["X", "X", "O"], ["X", "", "O"], ["", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
| | X
---------
| X | O
---------
O | |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\n | | X\\n---------\\n | X | O\\n---------\\nO | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"\", \"X\"], [\"\", \"X\", \"O\"], [\"O\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_782\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\n | | X\\\\n---------\\\\n | X | O\\\\n---------\\\\nO | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"X\\\"], [\\\"\\\", \\\"X\\\", \\\"O\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"\\\", \\\"X\\\"], [\\\"\\\", \\\"X\\\", \\\"O\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_782"}
|
[['X', '', 'X'], ['', 'X', 'O'], ['O', '', '']]
|
{"id": "ttt_medium_782", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\n | | X\n---------\n | X | O\n---------\nO | | \n\n\n", "current_board": [["", "", "X"], ["", "X", "O"], ["O", "", ""]], "active_player": "X", "answer": [["X", "", "X"], ["", "X", "O"], ["O", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
X | O |
---------
| O | O
---------
X | | X
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nX | O | \\n---------\\n | O | O\\n---------\\nX | | X\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"O\", \"\"], [\"X\", \"O\", \"O\"], [\"X\", \"\", \"X\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_255\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nX | O | \\\\n---------\\\\n | O | O\\\\n---------\\\\nX | | X\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"\\\", \\\"O\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"X\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"X\\\", \\\"O\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"X\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_255"}
|
[['X', 'O', ''], ['X', 'O', 'O'], ['X', '', 'X']]
|
{"id": "ttt_medium_255", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nX | O | \n---------\n | O | O\n---------\nX | | X\n\n\n", "current_board": [["X", "O", ""], ["", "O", "O"], ["X", "", "X"]], "active_player": "X", "answer": [["X", "O", ""], ["X", "O", "O"], ["X", "", "X"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
| |
---------
O | | O
---------
X | | X
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\n | | \\n---------\\nO | | O\\n---------\\nX | | X\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"\", \"\", \"\"], [\"O\", \"X\", \"O\"], [\"X\", \"\", \"X\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_511\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\n | | \\\\n---------\\\\nO | | O\\\\n---------\\\\nX | | X\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"X\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"\\\", \\\"\\\", \\\"\\\"], [\\\"O\\\", \\\"X\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"X\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_511"}
|
[['', '', ''], ['O', 'X', 'O'], ['X', '', 'X']]
|
{"id": "ttt_medium_511", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\n | | \n---------\nO | | O\n---------\nX | | X\n\n\n", "current_board": [["", "", ""], ["O", "", "O"], ["X", "", "X"]], "active_player": "X", "answer": [["", "", ""], ["O", "X", "O"], ["X", "", "X"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
X | X |
---------
| O | X
---------
O | |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\nX | X | \\n---------\\n | O | X\\n---------\\nO | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"X\", \"O\"], [\"\", \"O\", \"X\"], [\"O\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_139\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\nX | X | \\\\n---------\\\\n | O | X\\\\n---------\\\\nO | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"O\\\", \\\"X\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"X\\\", \\\"X\\\", \\\"O\\\"], [\\\"\\\", \\\"O\\\", \\\"X\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_139"}
|
[['X', 'X', 'O'], ['', 'O', 'X'], ['O', '', '']]
|
{"id": "ttt_medium_139", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\nX | X | \n---------\n | O | X\n---------\nO | | \n\n\n", "current_board": [["X", "X", ""], ["", "O", "X"], ["O", "", ""]], "active_player": "O", "answer": [["X", "X", "O"], ["", "O", "X"], ["O", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
| X |
---------
| | X
---------
O | O |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\n | X | \\n---------\\n | | X\\n---------\\nO | O | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"\", \"X\", \"\"], [\"\", \"\", \"X\"], [\"O\", \"O\", \"X\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_648\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\n | X | \\\\n---------\\\\n | | X\\\\n---------\\\\nO | O | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"O\\\", \\\"\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"O\\\", \\\"X\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_648"}
|
[['', 'X', ''], ['', '', 'X'], ['O', 'O', 'X']]
|
{"id": "ttt_medium_648", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\n | X | \n---------\n | | X\n---------\nO | O | \n\n\n", "current_board": [["", "X", ""], ["", "", "X"], ["O", "O", ""]], "active_player": "X", "answer": [["", "X", ""], ["", "", "X"], ["O", "O", "X"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
X | | X
---------
O | O | X
---------
| O |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nX | | X\\n---------\\nO | O | X\\n---------\\n | O | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"X\", \"X\"], [\"O\", \"O\", \"X\"], [\"\", \"O\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_619\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nX | | X\\\\n---------\\\\nO | O | X\\\\n---------\\\\n | O | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"O\\\", \\\"X\\\"], [\\\"\\\", \\\"O\\\", \\\"\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"X\\\", \\\"X\\\"], [\\\"O\\\", \\\"O\\\", \\\"X\\\"], [\\\"\\\", \\\"O\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_619"}
|
[['X', 'X', 'X'], ['O', 'O', 'X'], ['', 'O', '']]
|
{"id": "ttt_medium_619", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nX | | X\n---------\nO | O | X\n---------\n | O | \n\n\n", "current_board": [["X", "", "X"], ["O", "O", "X"], ["", "O", ""]], "active_player": "X", "answer": [["X", "X", "X"], ["O", "O", "X"], ["", "O", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
O | | X
---------
| | X
---------
O | |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nO | | X\\n---------\\n | | X\\n---------\\nO | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"\", \"X\"], [\"X\", \"\", \"X\"], [\"O\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_386\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nO | | X\\\\n---------\\\\n | | X\\\\n---------\\\\nO | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"O\\\", \\\"\\\", \\\"X\\\"], [\\\"\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"O\\\", \\\"\\\", \\\"X\\\"], [\\\"X\\\", \\\"\\\", \\\"X\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_386"}
|
[['O', '', 'X'], ['X', '', 'X'], ['O', '', '']]
|
{"id": "ttt_medium_386", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nO | | X\n---------\n | | X\n---------\nO | | \n\n\n", "current_board": [["O", "", "X"], ["", "", "X"], ["O", "", ""]], "active_player": "X", "answer": [["O", "", "X"], ["X", "", "X"], ["O", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
| | X
---------
X | O | O
---------
| X |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\n | | X\\n---------\\nX | O | O\\n---------\\n | X | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"\", \"X\"], [\"X\", \"O\", \"O\"], [\"\", \"X\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_541\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\n | | X\\\\n---------\\\\nX | O | O\\\\n---------\\\\n | X | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"X\\\"], [\\\"X\\\", \\\"O\\\", \\\"O\\\"], [\\\"\\\", \\\"X\\\", \\\"\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"O\\\", \\\"\\\", \\\"X\\\"], [\\\"X\\\", \\\"O\\\", \\\"O\\\"], [\\\"\\\", \\\"X\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_541"}
|
[['O', '', 'X'], ['X', 'O', 'O'], ['', 'X', '']]
|
{"id": "ttt_medium_541", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\n | | X\n---------\nX | O | O\n---------\n | X | \n\n\n", "current_board": [["", "", "X"], ["X", "O", "O"], ["", "X", ""]], "active_player": "O", "answer": [["O", "", "X"], ["X", "O", "O"], ["", "X", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
| | O
---------
X | O | X
---------
| X |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\n | | O\\n---------\\nX | O | X\\n---------\\n | X | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"\", \"O\"], [\"X\", \"O\", \"X\"], [\"\", \"X\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_683\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\n | | O\\\\n---------\\\\nX | O | X\\\\n---------\\\\n | X | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"O\\\"], [\\\"X\\\", \\\"O\\\", \\\"X\\\"], [\\\"\\\", \\\"X\\\", \\\"\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"O\\\", \\\"\\\", \\\"O\\\"], [\\\"X\\\", \\\"O\\\", \\\"X\\\"], [\\\"\\\", \\\"X\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_683"}
|
[['O', '', 'O'], ['X', 'O', 'X'], ['', 'X', '']]
|
{"id": "ttt_medium_683", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\n | | O\n---------\nX | O | X\n---------\n | X | \n\n\n", "current_board": [["", "", "O"], ["X", "O", "X"], ["", "X", ""]], "active_player": "O", "answer": [["O", "", "O"], ["X", "O", "X"], ["", "X", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
| |
---------
O | X | X
---------
| | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\n | | \\n---------\\nO | X | X\\n---------\\n | | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"\", \"\"], [\"O\", \"X\", \"X\"], [\"\", \"\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_378\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\n | | \\\\n---------\\\\nO | X | X\\\\n---------\\\\n | | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"\\\"], [\\\"O\\\", \\\"X\\\", \\\"X\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"\\\", \\\"\\\"], [\\\"O\\\", \\\"X\\\", \\\"X\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_378"}
|
[['X', '', ''], ['O', 'X', 'X'], ['', '', 'O']]
|
{"id": "ttt_medium_378", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\n | | \n---------\nO | X | X\n---------\n | | O\n\n\n", "current_board": [["", "", ""], ["O", "X", "X"], ["", "", "O"]], "active_player": "X", "answer": [["X", "", ""], ["O", "X", "X"], ["", "", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
| | X
---------
X | X |
---------
| O | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\n | | X\\n---------\\nX | X | \\n---------\\n | O | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"\", \"\", \"X\"], [\"X\", \"X\", \"\"], [\"O\", \"O\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_65\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\n | | X\\\\n---------\\\\nX | X | \\\\n---------\\\\n | O | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"X\\\"], [\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"O\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"\\\", \\\"\\\", \\\"X\\\"], [\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"O\\\", \\\"O\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_65"}
|
[['', '', 'X'], ['X', 'X', ''], ['O', 'O', 'O']]
|
{"id": "ttt_medium_65", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\n | | X\n---------\nX | X | \n---------\n | O | O\n\n\n", "current_board": [["", "", "X"], ["X", "X", ""], ["", "O", "O"]], "active_player": "O", "answer": [["", "", "X"], ["X", "X", ""], ["O", "O", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
| X |
---------
| | O
---------
| X | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\n | X | \\n---------\\n | | O\\n---------\\n | X | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"\", \"X\", \"X\"], [\"\", \"\", \"O\"], [\"\", \"X\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_581\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\n | X | \\\\n---------\\\\n | | O\\\\n---------\\\\n | X | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"], [\\\"\\\", \\\"X\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"\\\", \\\"X\\\", \\\"X\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"], [\\\"\\\", \\\"X\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_581"}
|
[['', 'X', 'X'], ['', '', 'O'], ['', 'X', 'O']]
|
{"id": "ttt_medium_581", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\n | X | \n---------\n | | O\n---------\n | X | O\n\n\n", "current_board": [["", "X", ""], ["", "", "O"], ["", "X", "O"]], "active_player": "X", "answer": [["", "X", "X"], ["", "", "O"], ["", "X", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
| | X
---------
X | | O
---------
O | X |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\n | | X\\n---------\\nX | | O\\n---------\\nO | X | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"\", \"X\"], [\"X\", \"\", \"O\"], [\"O\", \"X\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_972\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\n | | X\\\\n---------\\\\nX | | O\\\\n---------\\\\nO | X | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"X\\\"], [\\\"X\\\", \\\"\\\", \\\"O\\\"], [\\\"O\\\", \\\"X\\\", \\\"\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"O\\\", \\\"\\\", \\\"X\\\"], [\\\"X\\\", \\\"\\\", \\\"O\\\"], [\\\"O\\\", \\\"X\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_972"}
|
[['O', '', 'X'], ['X', '', 'O'], ['O', 'X', '']]
|
{"id": "ttt_medium_972", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\n | | X\n---------\nX | | O\n---------\nO | X | \n\n\n", "current_board": [["", "", "X"], ["X", "", "O"], ["O", "X", ""]], "active_player": "O", "answer": [["O", "", "X"], ["X", "", "O"], ["O", "X", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
| |
---------
X | X |
---------
O | X | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\n | | \\n---------\\nX | X | \\n---------\\nO | X | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"\", \"\"], [\"X\", \"X\", \"\"], [\"O\", \"X\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_865\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\n | | \\\\n---------\\\\nX | X | \\\\n---------\\\\nO | X | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"\\\", \\\"\\\"], [\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"O\\\", \\\"X\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"O\\\", \\\"\\\", \\\"\\\"], [\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"O\\\", \\\"X\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_865"}
|
[['O', '', ''], ['X', 'X', ''], ['O', 'X', 'O']]
|
{"id": "ttt_medium_865", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\n | | \n---------\nX | X | \n---------\nO | X | O\n\n\n", "current_board": [["", "", ""], ["X", "X", ""], ["O", "X", "O"]], "active_player": "O", "answer": [["O", "", ""], ["X", "X", ""], ["O", "X", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
| X |
---------
| O | X
---------
X | | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\n | X | \\n---------\\n | O | X\\n---------\\nX | | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"X\", \"\"], [\"\", \"O\", \"X\"], [\"X\", \"\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_577\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\n | X | \\\\n---------\\\\n | O | X\\\\n---------\\\\nX | | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"O\\\", \\\"X\\\"], [\\\"X\\\", \\\"\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"O\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"O\\\", \\\"X\\\"], [\\\"X\\\", \\\"\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_577"}
|
[['O', 'X', ''], ['', 'O', 'X'], ['X', '', 'O']]
|
{"id": "ttt_medium_577", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\n | X | \n---------\n | O | X\n---------\nX | | O\n\n\n", "current_board": [["", "X", ""], ["", "O", "X"], ["X", "", "O"]], "active_player": "O", "answer": [["O", "X", ""], ["", "O", "X"], ["X", "", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
X | | O
---------
| | O
---------
X | |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nX | | O\\n---------\\n | | O\\n---------\\nX | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"\", \"O\"], [\"X\", \"\", \"O\"], [\"X\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_440\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nX | | O\\\\n---------\\\\n | | O\\\\n---------\\\\nX | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"\\\", \\\"O\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_440"}
|
[['X', '', 'O'], ['X', '', 'O'], ['X', '', '']]
|
{"id": "ttt_medium_440", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nX | | O\n---------\n | | O\n---------\nX | | \n\n\n", "current_board": [["X", "", "O"], ["", "", "O"], ["X", "", ""]], "active_player": "X", "answer": [["X", "", "O"], ["X", "", "O"], ["X", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
X | O |
---------
| | O
---------
X | X |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\nX | O | \\n---------\\n | | O\\n---------\\nX | X | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"O\", \"O\"], [\"\", \"\", \"O\"], [\"X\", \"X\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_390\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\nX | O | \\\\n---------\\\\n | | O\\\\n---------\\\\nX | X | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"], [\\\"X\\\", \\\"X\\\", \\\"\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"X\\\", \\\"O\\\", \\\"O\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"], [\\\"X\\\", \\\"X\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_390"}
|
[['X', 'O', 'O'], ['', '', 'O'], ['X', 'X', '']]
|
{"id": "ttt_medium_390", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\nX | O | \n---------\n | | O\n---------\nX | X | \n\n\n", "current_board": [["X", "O", ""], ["", "", "O"], ["X", "X", ""]], "active_player": "O", "answer": [["X", "O", "O"], ["", "", "O"], ["X", "X", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
X | X |
---------
| O |
---------
| X | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\nX | X | \\n---------\\n | O | \\n---------\\n | X | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"X\", \"O\"], [\"\", \"O\", \"\"], [\"\", \"X\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_643\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\nX | X | \\\\n---------\\\\n | O | \\\\n---------\\\\n | X | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"O\\\", \\\"\\\"], [\\\"\\\", \\\"X\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"X\\\", \\\"X\\\", \\\"O\\\"], [\\\"\\\", \\\"O\\\", \\\"\\\"], [\\\"\\\", \\\"X\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_643"}
|
[['X', 'X', 'O'], ['', 'O', ''], ['', 'X', 'O']]
|
{"id": "ttt_medium_643", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\nX | X | \n---------\n | O | \n---------\n | X | O\n\n\n", "current_board": [["X", "X", ""], ["", "O", ""], ["", "X", "O"]], "active_player": "O", "answer": [["X", "X", "O"], ["", "O", ""], ["", "X", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
X | | X
---------
X | O |
---------
O | | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nX | | X\\n---------\\nX | O | \\n---------\\nO | | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"X\", \"X\"], [\"X\", \"O\", \"\"], [\"O\", \"\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_174\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nX | | X\\\\n---------\\\\nX | O | \\\\n---------\\\\nO | | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"\\\", \\\"X\\\"], [\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"X\\\", \\\"X\\\"], [\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_174"}
|
[['X', 'X', 'X'], ['X', 'O', ''], ['O', '', 'O']]
|
{"id": "ttt_medium_174", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nX | | X\n---------\nX | O | \n---------\nO | | O\n\n\n", "current_board": [["X", "", "X"], ["X", "O", ""], ["O", "", "O"]], "active_player": "X", "answer": [["X", "X", "X"], ["X", "O", ""], ["O", "", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
X | X |
---------
| O | O
---------
O | | X
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nX | X | \\n---------\\n | O | O\\n---------\\nO | | X\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"X\", \"X\"], [\"\", \"O\", \"O\"], [\"O\", \"\", \"X\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_130\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nX | X | \\\\n---------\\\\n | O | O\\\\n---------\\\\nO | | X\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"O\\\", \\\"O\\\"], [\\\"O\\\", \\\"\\\", \\\"X\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"X\\\", \\\"X\\\"], [\\\"\\\", \\\"O\\\", \\\"O\\\"], [\\\"O\\\", \\\"\\\", \\\"X\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_130"}
|
[['X', 'X', 'X'], ['', 'O', 'O'], ['O', '', 'X']]
|
{"id": "ttt_medium_130", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nX | X | \n---------\n | O | O\n---------\nO | | X\n\n\n", "current_board": [["X", "X", ""], ["", "O", "O"], ["O", "", "X"]], "active_player": "X", "answer": [["X", "X", "X"], ["", "O", "O"], ["O", "", "X"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
O | O | X
---------
X | |
---------
X | |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\nO | O | X\\n---------\\nX | | \\n---------\\nX | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"O\", \"X\"], [\"X\", \"O\", \"\"], [\"X\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_881\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\nO | O | X\\\\n---------\\\\nX | | \\\\n---------\\\\nX | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"O\\\", \\\"O\\\", \\\"X\\\"], [\\\"X\\\", \\\"\\\", \\\"\\\"], [\\\"X\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"O\\\", \\\"O\\\", \\\"X\\\"], [\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"X\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_881"}
|
[['O', 'O', 'X'], ['X', 'O', ''], ['X', '', '']]
|
{"id": "ttt_medium_881", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\nO | O | X\n---------\nX | | \n---------\nX | | \n\n\n", "current_board": [["O", "O", "X"], ["X", "", ""], ["X", "", ""]], "active_player": "O", "answer": [["O", "O", "X"], ["X", "O", ""], ["X", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
O | X |
---------
X | O |
---------
O | | X
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nO | X | \\n---------\\nX | O | \\n---------\\nO | | X\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"X\", \"X\"], [\"X\", \"O\", \"\"], [\"O\", \"\", \"X\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_426\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nO | X | \\\\n---------\\\\nX | O | \\\\n---------\\\\nO | | X\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"O\\\", \\\"X\\\", \\\"\\\"], [\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"X\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"O\\\", \\\"X\\\", \\\"X\\\"], [\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"X\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_426"}
|
[['O', 'X', 'X'], ['X', 'O', ''], ['O', '', 'X']]
|
{"id": "ttt_medium_426", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nO | X | \n---------\nX | O | \n---------\nO | | X\n\n\n", "current_board": [["O", "X", ""], ["X", "O", ""], ["O", "", "X"]], "active_player": "X", "answer": [["O", "X", "X"], ["X", "O", ""], ["O", "", "X"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
X | |
---------
X | |
---------
| | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\nX | | \\n---------\\nX | | \\n---------\\n | | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"\", \"\"], [\"X\", \"\", \"\"], [\"O\", \"\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_635\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\nX | | \\\\n---------\\\\nX | | \\\\n---------\\\\n | | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"\\\", \\\"\\\"], [\\\"X\\\", \\\"\\\", \\\"\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"X\\\", \\\"\\\", \\\"\\\"], [\\\"X\\\", \\\"\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_635"}
|
[['X', '', ''], ['X', '', ''], ['O', '', 'O']]
|
{"id": "ttt_medium_635", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\nX | | \n---------\nX | | \n---------\n | | O\n\n\n", "current_board": [["X", "", ""], ["X", "", ""], ["", "", "O"]], "active_player": "O", "answer": [["X", "", ""], ["X", "", ""], ["O", "", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
X | X |
---------
X | | O
---------
O | |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\nX | X | \\n---------\\nX | | O\\n---------\\nO | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"X\", \"O\"], [\"X\", \"\", \"O\"], [\"O\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_804\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\nX | X | \\\\n---------\\\\nX | | O\\\\n---------\\\\nO | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"X\\\", \\\"\\\", \\\"O\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"X\\\", \\\"X\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"O\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_804"}
|
[['X', 'X', 'O'], ['X', '', 'O'], ['O', '', '']]
|
{"id": "ttt_medium_804", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\nX | X | \n---------\nX | | O\n---------\nO | | \n\n\n", "current_board": [["X", "X", ""], ["X", "", "O"], ["O", "", ""]], "active_player": "O", "answer": [["X", "X", "O"], ["X", "", "O"], ["O", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
X | X | O
---------
O | |
---------
| X | O
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nX | X | O\\n---------\\nO | | \\n---------\\n | X | O\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"X\", \"O\"], [\"O\", \"X\", \"\"], [\"\", \"X\", \"O\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_277\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nX | X | O\\\\n---------\\\\nO | | \\\\n---------\\\\n | X | O\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"X\\\", \\\"O\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"], [\\\"\\\", \\\"X\\\", \\\"O\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"X\\\", \\\"X\\\", \\\"O\\\"], [\\\"O\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"X\\\", \\\"O\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_277"}
|
[['X', 'X', 'O'], ['O', 'X', ''], ['', 'X', 'O']]
|
{"id": "ttt_medium_277", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nX | X | O\n---------\nO | | \n---------\n | X | O\n\n\n", "current_board": [["X", "X", "O"], ["O", "", ""], ["", "X", "O"]], "active_player": "X", "answer": [["X", "X", "O"], ["O", "X", ""], ["", "X", "O"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
X | X | O
---------
| |
---------
O | X |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\nX | X | O\\n---------\\n | | \\n---------\\nO | X | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"X\", \"O\"], [\"\", \"O\", \"\"], [\"O\", \"X\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_133\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\nX | X | O\\\\n---------\\\\n | | \\\\n---------\\\\nO | X | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"X\\\", \\\"O\\\"], [\\\"\\\", \\\"\\\", \\\"\\\"], [\\\"O\\\", \\\"X\\\", \\\"\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"X\\\", \\\"X\\\", \\\"O\\\"], [\\\"\\\", \\\"O\\\", \\\"\\\"], [\\\"O\\\", \\\"X\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_133"}
|
[['X', 'X', 'O'], ['', 'O', ''], ['O', 'X', '']]
|
{"id": "ttt_medium_133", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\nX | X | O\n---------\n | | \n---------\nO | X | \n\n\n", "current_board": [["X", "X", "O"], ["", "", ""], ["O", "X", ""]], "active_player": "O", "answer": [["X", "X", "O"], ["", "O", ""], ["O", "X", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
X | |
---------
O | O | X
---------
X | |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\nX | | \\n---------\\nO | O | X\\n---------\\nX | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"O\", \"\"], [\"O\", \"O\", \"X\"], [\"X\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_869\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\nX | | \\\\n---------\\\\nO | O | X\\\\n---------\\\\nX | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"\\\", \\\"\\\"], [\\\"O\\\", \\\"O\\\", \\\"X\\\"], [\\\"X\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"O\\\", \\\"O\\\", \\\"X\\\"], [\\\"X\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_869"}
|
[['X', 'O', ''], ['O', 'O', 'X'], ['X', '', '']]
|
{"id": "ttt_medium_869", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\nX | | \n---------\nO | O | X\n---------\nX | | \n\n\n", "current_board": [["X", "", ""], ["O", "O", "X"], ["X", "", ""]], "active_player": "O", "answer": [["X", "O", ""], ["O", "O", "X"], ["X", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as X.
Current board:
O | |
---------
X | O |
---------
O | X | X
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as X.\\nCurrent board:\\nO | | \\n---------\\nX | O | \\n---------\\nO | X | X\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"\", \"X\"], [\"X\", \"O\", \"\"], [\"O\", \"X\", \"X\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_410\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as X.\\\\nCurrent board:\\\\nO | | \\\\n---------\\\\nX | O | \\\\n---------\\\\nO | X | X\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"O\\\", \\\"\\\", \\\"\\\"], [\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"O\\\", \\\"X\\\", \\\"X\\\"]], \\\"active_player\\\": \\\"X\\\", \\\"answer\\\": [[\\\"O\\\", \\\"\\\", \\\"X\\\"], [\\\"X\\\", \\\"O\\\", \\\"\\\"], [\\\"O\\\", \\\"X\\\", \\\"X\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_410"}
|
[['O', '', 'X'], ['X', 'O', ''], ['O', 'X', 'X']]
|
{"id": "ttt_medium_410", "question": "\nYou are playing tic-tac-toe as X.\nCurrent board:\nO | | \n---------\nX | O | \n---------\nO | X | X\n\n\n", "current_board": [["O", "", ""], ["X", "O", ""], ["O", "X", "X"]], "active_player": "X", "answer": [["O", "", "X"], ["X", "O", ""], ["O", "X", "X"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
X | | O
---------
| | O
---------
X | | X
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\nX | | O\\n---------\\n | | O\\n---------\\nX | | X\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"X\", \"O\", \"O\"], [\"\", \"\", \"O\"], [\"X\", \"\", \"X\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_243\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\nX | | O\\\\n---------\\\\n | | O\\\\n---------\\\\nX | | X\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"X\\\", \\\"\\\", \\\"O\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"X\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"X\\\", \\\"O\\\", \\\"O\\\"], [\\\"\\\", \\\"\\\", \\\"O\\\"], [\\\"X\\\", \\\"\\\", \\\"X\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_243"}
|
[['X', 'O', 'O'], ['', '', 'O'], ['X', '', 'X']]
|
{"id": "ttt_medium_243", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\nX | | O\n---------\n | | O\n---------\nX | | X\n\n\n", "current_board": [["X", "", "O"], ["", "", "O"], ["X", "", "X"]], "active_player": "O", "answer": [["X", "O", "O"], ["", "", "O"], ["X", "", "X"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
| O |
---------
X | X |
---------
| O | X
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\n | O | \\n---------\\nX | X | \\n---------\\n | O | X\\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"O\", \"\"], [\"X\", \"X\", \"\"], [\"\", \"O\", \"X\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_241\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\n | O | \\\\n---------\\\\nX | X | \\\\n---------\\\\n | O | X\\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"\\\", \\\"O\\\", \\\"\\\"], [\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"O\\\", \\\"X\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"O\\\", \\\"O\\\", \\\"\\\"], [\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"\\\", \\\"O\\\", \\\"X\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_241"}
|
[['O', 'O', ''], ['X', 'X', ''], ['', 'O', 'X']]
|
{"id": "ttt_medium_241", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\n | O | \n---------\nX | X | \n---------\n | O | X\n\n\n", "current_board": [["", "O", ""], ["X", "X", ""], ["", "O", "X"]], "active_player": "O", "answer": [["O", "O", ""], ["X", "X", ""], ["", "O", "X"]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Tic Tac Toe Game Rules:
1. The board consists of 3x3 cells.
2. Players take turns placing their mark on an empty cell, one move per turn. The two players use "O" or "X".
3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.
4. If the board is completely filled without a winner, the game is a draw.
You are playing tic-tac-toe as O.
Current board:
O | X |
---------
X | X |
---------
O | |
Question: What is the best next move? Please provide only your move and display the board.
Answer format:
- Please output your answer within a code block (```), for example:
```
"X" "O" ""
"" "X" ""
"O" "" "X"
```
|
{"ground_truth": "{\"prompt\": \"\\nTic Tac Toe Game Rules:\\n1. The board consists of 3x3 cells.\\n2. Players take turns placing their mark on an empty cell, one move per turn. The two players use \\\"O\\\" or \\\"X\\\".\\n3. A player wins by placing three of their marks consecutively in a row, column, or diagonal.\\n4. If the board is completely filled without a winner, the game is a draw.\\n\\n\\nYou are playing tic-tac-toe as O.\\nCurrent board:\\nO | X | \\n---------\\nX | X | \\n---------\\nO | | \\n\\n\\n\\n\\nQuestion: What is the best next move? Please provide only your move and display the board.\\n\\nAnswer format:\\n- Please output your answer within a code block (```), for example:\\n```\\n\\\"X\\\" \\\"O\\\" \\\"\\\"\\n\\\"\\\" \\\"X\\\" \\\"\\\"\\n\\\"O\\\" \\\"\\\" \\\"X\\\"\\n```\\n\", \"answer\": [[\"O\", \"X\", \"O\"], [\"X\", \"X\", \"\"], [\"O\", \"\", \"\"]], \"task_name\": \"tic_tac_toe\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"ttt_medium_209\\\", \\\"question\\\": \\\"\\\\nYou are playing tic-tac-toe as O.\\\\nCurrent board:\\\\nO | X | \\\\n---------\\\\nX | X | \\\\n---------\\\\nO | | \\\\n\\\\n\\\\n\\\", \\\"current_board\\\": [[\\\"O\\\", \\\"X\\\", \\\"\\\"], [\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"active_player\\\": \\\"O\\\", \\\"answer\\\": [[\\\"O\\\", \\\"X\\\", \\\"O\\\"], [\\\"X\\\", \\\"X\\\", \\\"\\\"], [\\\"O\\\", \\\"\\\", \\\"\\\"]], \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"partially_observable\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"tic_tac_toe\\\", \\\"difficulty_level\\\": \\\"medium\\\", \\\"language\\\": \\\"en\\\"}\"}", "style": "search"}
|
PUZZLE##tic_tac_toe
|
PUZZLE
|
{"index": "ttt_medium_209"}
|
[['O', 'X', 'O'], ['X', 'X', ''], ['O', '', '']]
|
{"id": "ttt_medium_209", "question": "\nYou are playing tic-tac-toe as O.\nCurrent board:\nO | X | \n---------\nX | X | \n---------\nO | | \n\n\n", "current_board": [["O", "X", ""], ["X", "X", ""], ["O", "", ""]], "active_player": "O", "answer": [["O", "X", "O"], ["X", "X", ""], ["O", "", ""]], "rationale": "", "split": "test", "type": "partially_observable", "source_url": "auto-generated", "dataset_name": "tic_tac_toe", "difficulty_level": "medium", "language": "en"}
|
search
|
tic_tac_toe
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
3 6 1
8 4 5
7 9 2
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n3 6 1\\n8 4 5\\n7 9 2\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [1, 1], [0, 0], [0, 1], [0, 0], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_145\\\", \\\"question\\\": [[3, 6, 1], [8, 4, 5], [7, 9, 2]], \\\"answer\\\": [[0, 0], [1, 1], [0, 0], [0, 1], [0, 0], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_145"}
|
[[0, 0], [1, 1], [0, 0], [0, 1], [0, 0], [0, 1]]
|
{"id": "twiddle_hard_145", "question": [[3, 6, 1], [8, 4, 5], [7, 9, 2]], "answer": [[0, 0], [1, 1], [0, 0], [0, 1], [0, 0], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
3 2 1
6 5 4
7 8 9
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n3 2 1\\n6 5 4\\n7 8 9\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_803\\\", \\\"question\\\": [[3, 2, 1], [6, 5, 4], [7, 8, 9]], \\\"answer\\\": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0], [0, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_803"}
|
[[0, 0], [0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]
|
{"id": "twiddle_hard_803", "question": [[3, 2, 1], [6, 5, 4], [7, 8, 9]], "answer": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0], [0, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 6 1
4 9 5
8 3 2
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 6 1\\n4 9 5\\n8 3 2\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 1], [0, 1], [1, 1], [0, 0], [1, 0], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_199\\\", \\\"question\\\": [[7, 6, 1], [4, 9, 5], [8, 3, 2]], \\\"answer\\\": [[1, 1], [0, 1], [1, 1], [0, 0], [1, 0], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_199"}
|
[[1, 1], [0, 1], [1, 1], [0, 0], [1, 0], [0, 1]]
|
{"id": "twiddle_hard_199", "question": [[7, 6, 1], [4, 9, 5], [8, 3, 2]], "answer": [[1, 1], [0, 1], [1, 1], [0, 0], [1, 0], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
5 6 4
2 9 3
7 1 8
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n5 6 4\\n2 9 3\\n7 1 8\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [1, 1], [1, 1], [1, 1], [0, 0], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_739\\\", \\\"question\\\": [[5, 6, 4], [2, 9, 3], [7, 1, 8]], \\\"answer\\\": [[0, 1], [1, 1], [1, 1], [1, 1], [0, 0], [0, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_739"}
|
[[0, 1], [1, 1], [1, 1], [1, 1], [0, 0], [0, 0]]
|
{"id": "twiddle_hard_739", "question": [[5, 6, 4], [2, 9, 3], [7, 1, 8]], "answer": [[0, 1], [1, 1], [1, 1], [1, 1], [0, 0], [0, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 5 1
8 3 4
2 6 9
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 5 1\\n8 3 4\\n2 6 9\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [1, 0], [0, 1], [0, 0], [1, 0], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_715\\\", \\\"question\\\": [[7, 5, 1], [8, 3, 4], [2, 6, 9]], \\\"answer\\\": [[0, 1], [1, 0], [0, 1], [0, 0], [1, 0], [0, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_715"}
|
[[0, 1], [1, 0], [0, 1], [0, 0], [1, 0], [0, 0]]
|
{"id": "twiddle_hard_715", "question": [[7, 5, 1], [8, 3, 4], [2, 6, 9]], "answer": [[0, 1], [1, 0], [0, 1], [0, 0], [1, 0], [0, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
1 5 2
8 9 7
3 4 6
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n1 5 2\\n8 9 7\\n3 4 6\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 1], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_534\\\", \\\"question\\\": [[1, 5, 2], [8, 9, 7], [3, 4, 6]], \\\"answer\\\": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 1], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_534"}
|
[[1, 0], [1, 1], [1, 0], [1, 0], [1, 1], [0, 1]]
|
{"id": "twiddle_hard_534", "question": [[1, 5, 2], [8, 9, 7], [3, 4, 6]], "answer": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 1], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
1 4 2
9 8 7
3 5 6
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n1 4 2\\n9 8 7\\n3 5 6\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 0], [1, 1], [1, 0], [1, 1], [0, 1], [1, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_101\\\", \\\"question\\\": [[1, 4, 2], [9, 8, 7], [3, 5, 6]], \\\"answer\\\": [[1, 0], [1, 1], [1, 0], [1, 1], [0, 1], [1, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_101"}
|
[[1, 0], [1, 1], [1, 0], [1, 1], [0, 1], [1, 0]]
|
{"id": "twiddle_hard_101", "question": [[1, 4, 2], [9, 8, 7], [3, 5, 6]], "answer": [[1, 0], [1, 1], [1, 0], [1, 1], [0, 1], [1, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
5 1 3
8 2 7
9 4 6
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n5 1 3\\n8 2 7\\n9 4 6\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_521\\\", \\\"question\\\": [[5, 1, 3], [8, 2, 7], [9, 4, 6]], \\\"answer\\\": [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]], \\\"rotations\\\": 5, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_521"}
|
[[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]]
|
{"id": "twiddle_hard_521", "question": [[5, 1, 3], [8, 2, 7], [9, 4, 6]], "answer": [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]], "rotations": 5, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 1 8
3 5 4
9 6 2
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 1 8\\n3 5 4\\n9 6 2\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [1, 1], [1, 0], [0, 1], [0, 1], [1, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_815\\\", \\\"question\\\": [[7, 1, 8], [3, 5, 4], [9, 6, 2]], \\\"answer\\\": [[0, 0], [1, 1], [1, 0], [0, 1], [0, 1], [1, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_815"}
|
[[0, 0], [1, 1], [1, 0], [0, 1], [0, 1], [1, 1]]
|
{"id": "twiddle_hard_815", "question": [[7, 1, 8], [3, 5, 4], [9, 6, 2]], "answer": [[0, 0], [1, 1], [1, 0], [0, 1], [0, 1], [1, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
6 8 2
7 1 3
4 5 9
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n6 8 2\\n7 1 3\\n4 5 9\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [1, 0], [0, 0], [1, 0], [1, 0], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_726\\\", \\\"question\\\": [[6, 8, 2], [7, 1, 3], [4, 5, 9]], \\\"answer\\\": [[0, 0], [1, 0], [0, 0], [1, 0], [1, 0], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_726"}
|
[[0, 0], [1, 0], [0, 0], [1, 0], [1, 0], [0, 1]]
|
{"id": "twiddle_hard_726", "question": [[6, 8, 2], [7, 1, 3], [4, 5, 9]], "answer": [[0, 0], [1, 0], [0, 0], [1, 0], [1, 0], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 1 3
8 9 2
4 6 5
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 1 3\\n8 9 2\\n4 6 5\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 0], [1, 1], [0, 0], [1, 1], [1, 1], [1, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_634\\\", \\\"question\\\": [[7, 1, 3], [8, 9, 2], [4, 6, 5]], \\\"answer\\\": [[1, 0], [1, 1], [0, 0], [1, 1], [1, 1], [1, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_634"}
|
[[1, 0], [1, 1], [0, 0], [1, 1], [1, 1], [1, 0]]
|
{"id": "twiddle_hard_634", "question": [[7, 1, 3], [8, 9, 2], [4, 6, 5]], "answer": [[1, 0], [1, 1], [0, 0], [1, 1], [1, 1], [1, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
1 5 7
6 4 3
8 2 9
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n1 5 7\\n6 4 3\\n8 2 9\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_312\\\", \\\"question\\\": [[1, 5, 7], [6, 4, 3], [8, 2, 9]], \\\"answer\\\": [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0], [0, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_312"}
|
[[0, 0], [0, 1], [0, 0], [0, 0], [1, 0], [0, 0]]
|
{"id": "twiddle_hard_312", "question": [[1, 5, 7], [6, 4, 3], [8, 2, 9]], "answer": [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0], [0, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 4 1
6 2 5
8 9 3
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 4 1\\n6 2 5\\n8 9 3\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [1, 1], [1, 0], [0, 1], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_251\\\", \\\"question\\\": [[7, 4, 1], [6, 2, 5], [8, 9, 3]], \\\"answer\\\": [[0, 0], [1, 1], [1, 0], [0, 1], [0, 0]], \\\"rotations\\\": 5, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_251"}
|
[[0, 0], [1, 1], [1, 0], [0, 1], [0, 0]]
|
{"id": "twiddle_hard_251", "question": [[7, 4, 1], [6, 2, 5], [8, 9, 3]], "answer": [[0, 0], [1, 1], [1, 0], [0, 1], [0, 0]], "rotations": 5, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
4 9 1
8 3 5
7 6 2
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n4 9 1\\n8 3 5\\n7 6 2\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 1], [0, 1], [1, 1], [0, 0], [1, 1], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_761\\\", \\\"question\\\": [[4, 9, 1], [8, 3, 5], [7, 6, 2]], \\\"answer\\\": [[1, 1], [0, 1], [1, 1], [0, 0], [1, 1], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_761"}
|
[[1, 1], [0, 1], [1, 1], [0, 0], [1, 1], [0, 1]]
|
{"id": "twiddle_hard_761", "question": [[4, 9, 1], [8, 3, 5], [7, 6, 2]], "answer": [[1, 1], [0, 1], [1, 1], [0, 0], [1, 1], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
8 7 1
4 5 3
9 2 6
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n8 7 1\\n4 5 3\\n9 2 6\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [0, 1], [1, 0], [0, 0], [1, 1], [1, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_405\\\", \\\"question\\\": [[8, 7, 1], [4, 5, 3], [9, 2, 6]], \\\"answer\\\": [[0, 0], [0, 1], [1, 0], [0, 0], [1, 1], [1, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_405"}
|
[[0, 0], [0, 1], [1, 0], [0, 0], [1, 1], [1, 0]]
|
{"id": "twiddle_hard_405", "question": [[8, 7, 1], [4, 5, 3], [9, 2, 6]], "answer": [[0, 0], [0, 1], [1, 0], [0, 0], [1, 1], [1, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
4 8 9
7 3 1
6 2 5
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n4 8 9\\n7 3 1\\n6 2 5\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [1, 0], [0, 1], [1, 1], [0, 0], [1, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_259\\\", \\\"question\\\": [[4, 8, 9], [7, 3, 1], [6, 2, 5]], \\\"answer\\\": [[0, 1], [1, 0], [0, 1], [1, 1], [0, 0], [1, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_259"}
|
[[0, 1], [1, 0], [0, 1], [1, 1], [0, 0], [1, 1]]
|
{"id": "twiddle_hard_259", "question": [[4, 8, 9], [7, 3, 1], [6, 2, 5]], "answer": [[0, 1], [1, 0], [0, 1], [1, 1], [0, 0], [1, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 6 1
5 3 4
8 2 9
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 6 1\\n5 3 4\\n8 2 9\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [0, 1], [0, 0], [1, 0], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_166\\\", \\\"question\\\": [[7, 6, 1], [5, 3, 4], [8, 2, 9]], \\\"answer\\\": [[0, 1], [0, 1], [0, 0], [1, 0], [0, 0]], \\\"rotations\\\": 5, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_166"}
|
[[0, 1], [0, 1], [0, 0], [1, 0], [0, 0]]
|
{"id": "twiddle_hard_166", "question": [[7, 6, 1], [5, 3, 4], [8, 2, 9]], "answer": [[0, 1], [0, 1], [0, 0], [1, 0], [0, 0]], "rotations": 5, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
1 7 5
8 2 4
9 6 3
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n1 7 5\\n8 2 4\\n9 6 3\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [1, 0], [0, 1], [1, 1], [0, 1], [1, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_32\\\", \\\"question\\\": [[1, 7, 5], [8, 2, 4], [9, 6, 3]], \\\"answer\\\": [[0, 1], [1, 0], [0, 1], [1, 1], [0, 1], [1, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_32"}
|
[[0, 1], [1, 0], [0, 1], [1, 1], [0, 1], [1, 0]]
|
{"id": "twiddle_hard_32", "question": [[1, 7, 5], [8, 2, 4], [9, 6, 3]], "answer": [[0, 1], [1, 0], [0, 1], [1, 1], [0, 1], [1, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 4 1
6 2 5
8 9 3
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 4 1\\n6 2 5\\n8 9 3\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 1], [0, 0], [0, 1], [1, 0], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_777\\\", \\\"question\\\": [[7, 4, 1], [6, 2, 5], [8, 9, 3]], \\\"answer\\\": [[1, 1], [0, 0], [0, 1], [1, 0], [0, 0]], \\\"rotations\\\": 5, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_777"}
|
[[1, 1], [0, 0], [0, 1], [1, 0], [0, 0]]
|
{"id": "twiddle_hard_777", "question": [[7, 4, 1], [6, 2, 5], [8, 9, 3]], "answer": [[1, 1], [0, 0], [0, 1], [1, 0], [0, 0]], "rotations": 5, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
2 7 3
4 1 5
8 9 6
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n2 7 3\\n4 1 5\\n8 9 6\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 1], [0, 0], [0, 0], [1, 0], [0, 0], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_340\\\", \\\"question\\\": [[2, 7, 3], [4, 1, 5], [8, 9, 6]], \\\"answer\\\": [[1, 1], [0, 0], [0, 0], [1, 0], [0, 0], [0, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_340"}
|
[[1, 1], [0, 0], [0, 0], [1, 0], [0, 0], [0, 0]]
|
{"id": "twiddle_hard_340", "question": [[2, 7, 3], [4, 1, 5], [8, 9, 6]], "answer": [[1, 1], [0, 0], [0, 0], [1, 0], [0, 0], [0, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 1 4
8 6 2
5 3 9
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 1 4\\n8 6 2\\n5 3 9\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 0], [0, 1], [0, 0], [1, 0], [0, 0], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_759\\\", \\\"question\\\": [[7, 1, 4], [8, 6, 2], [5, 3, 9]], \\\"answer\\\": [[1, 0], [0, 1], [0, 0], [1, 0], [0, 0], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_759"}
|
[[1, 0], [0, 1], [0, 0], [1, 0], [0, 0], [0, 1]]
|
{"id": "twiddle_hard_759", "question": [[7, 1, 4], [8, 6, 2], [5, 3, 9]], "answer": [[1, 0], [0, 1], [0, 0], [1, 0], [0, 0], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
5 8 4
7 6 1
9 2 3
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n5 8 4\\n7 6 1\\n9 2 3\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 0], [0, 1], [1, 1], [0, 0], [0, 1], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_678\\\", \\\"question\\\": [[5, 8, 4], [7, 6, 1], [9, 2, 3]], \\\"answer\\\": [[1, 0], [0, 1], [1, 1], [0, 0], [0, 1], [0, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_678"}
|
[[1, 0], [0, 1], [1, 1], [0, 0], [0, 1], [0, 0]]
|
{"id": "twiddle_hard_678", "question": [[5, 8, 4], [7, 6, 1], [9, 2, 3]], "answer": [[1, 0], [0, 1], [1, 1], [0, 0], [0, 1], [0, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 8 2
4 5 1
9 6 3
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 8 2\\n4 5 1\\n9 6 3\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [1, 1], [0, 1], [0, 0], [1, 0], [1, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_448\\\", \\\"question\\\": [[7, 8, 2], [4, 5, 1], [9, 6, 3]], \\\"answer\\\": [[0, 1], [1, 1], [0, 1], [0, 0], [1, 0], [1, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_448"}
|
[[0, 1], [1, 1], [0, 1], [0, 0], [1, 0], [1, 1]]
|
{"id": "twiddle_hard_448", "question": [[7, 8, 2], [4, 5, 1], [9, 6, 3]], "answer": [[0, 1], [1, 1], [0, 1], [0, 0], [1, 0], [1, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
8 1 7
5 4 3
9 2 6
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n8 1 7\\n5 4 3\\n9 2 6\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [0, 0], [1, 0], [0, 0], [1, 1], [1, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_361\\\", \\\"question\\\": [[8, 1, 7], [5, 4, 3], [9, 2, 6]], \\\"answer\\\": [[0, 1], [0, 0], [1, 0], [0, 0], [1, 1], [1, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_361"}
|
[[0, 1], [0, 0], [1, 0], [0, 0], [1, 1], [1, 0]]
|
{"id": "twiddle_hard_361", "question": [[8, 1, 7], [5, 4, 3], [9, 2, 6]], "answer": [[0, 1], [0, 0], [1, 0], [0, 0], [1, 1], [1, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
2 4 5
7 6 1
8 9 3
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n2 4 5\\n7 6 1\\n8 9 3\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 1], [1, 0], [0, 1], [0, 0], [0, 0], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_508\\\", \\\"question\\\": [[2, 4, 5], [7, 6, 1], [8, 9, 3]], \\\"answer\\\": [[1, 1], [1, 0], [0, 1], [0, 0], [0, 0], [0, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_508"}
|
[[1, 1], [1, 0], [0, 1], [0, 0], [0, 0], [0, 0]]
|
{"id": "twiddle_hard_508", "question": [[2, 4, 5], [7, 6, 1], [8, 9, 3]], "answer": [[1, 1], [1, 0], [0, 1], [0, 0], [0, 0], [0, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
1 7 5
9 4 2
3 8 6
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n1 7 5\\n9 4 2\\n3 8 6\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [1, 0], [1, 1], [1, 0], [1, 1], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_960\\\", \\\"question\\\": [[1, 7, 5], [9, 4, 2], [3, 8, 6]], \\\"answer\\\": [[0, 1], [1, 0], [1, 1], [1, 0], [1, 1], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_960"}
|
[[0, 1], [1, 0], [1, 1], [1, 0], [1, 1], [0, 1]]
|
{"id": "twiddle_hard_960", "question": [[1, 7, 5], [9, 4, 2], [3, 8, 6]], "answer": [[0, 1], [1, 0], [1, 1], [1, 0], [1, 1], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 8 5
6 1 2
3 4 9
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 8 5\\n6 1 2\\n3 4 9\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [0, 0], [1, 0], [1, 0], [0, 1], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_824\\\", \\\"question\\\": [[7, 8, 5], [6, 1, 2], [3, 4, 9]], \\\"answer\\\": [[0, 0], [0, 0], [1, 0], [1, 0], [0, 1], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_824"}
|
[[0, 0], [0, 0], [1, 0], [1, 0], [0, 1], [0, 1]]
|
{"id": "twiddle_hard_824", "question": [[7, 8, 5], [6, 1, 2], [3, 4, 9]], "answer": [[0, 0], [0, 0], [1, 0], [1, 0], [0, 1], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
1 3 5
9 2 7
8 4 6
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n1 3 5\\n9 2 7\\n8 4 6\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [0, 1], [0, 1], [1, 0], [1, 0], [1, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_653\\\", \\\"question\\\": [[1, 3, 5], [9, 2, 7], [8, 4, 6]], \\\"answer\\\": [[0, 1], [0, 1], [0, 1], [1, 0], [1, 0], [1, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_653"}
|
[[0, 1], [0, 1], [0, 1], [1, 0], [1, 0], [1, 1]]
|
{"id": "twiddle_hard_653", "question": [[1, 3, 5], [9, 2, 7], [8, 4, 6]], "answer": [[0, 1], [0, 1], [0, 1], [1, 0], [1, 0], [1, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
4 8 1
2 3 6
7 9 5
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n4 8 1\\n2 3 6\\n7 9 5\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [1, 1], [0, 0], [0, 1], [0, 1], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_411\\\", \\\"question\\\": [[4, 8, 1], [2, 3, 6], [7, 9, 5]], \\\"answer\\\": [[0, 1], [1, 1], [0, 0], [0, 1], [0, 1], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_411"}
|
[[0, 1], [1, 1], [0, 0], [0, 1], [0, 1], [0, 1]]
|
{"id": "twiddle_hard_411", "question": [[4, 8, 1], [2, 3, 6], [7, 9, 5]], "answer": [[0, 1], [1, 1], [0, 0], [0, 1], [0, 1], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
4 9 1
8 3 5
7 6 2
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n4 9 1\\n8 3 5\\n7 6 2\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 1], [0, 1], [1, 1], [0, 0], [1, 1], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_97\\\", \\\"question\\\": [[4, 9, 1], [8, 3, 5], [7, 6, 2]], \\\"answer\\\": [[1, 1], [0, 1], [1, 1], [0, 0], [1, 1], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_97"}
|
[[1, 1], [0, 1], [1, 1], [0, 0], [1, 1], [0, 1]]
|
{"id": "twiddle_hard_97", "question": [[4, 9, 1], [8, 3, 5], [7, 6, 2]], "answer": [[1, 1], [0, 1], [1, 1], [0, 0], [1, 1], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
3 6 4
2 5 1
7 8 9
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n3 6 4\\n2 5 1\\n7 8 9\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_793\\\", \\\"question\\\": [[3, 6, 4], [2, 5, 1], [7, 8, 9]], \\\"answer\\\": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_793"}
|
[[0, 0], [0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]
|
{"id": "twiddle_hard_793", "question": [[3, 6, 4], [2, 5, 1], [7, 8, 9]], "answer": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
4 7 1
8 2 5
9 6 3
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n4 7 1\\n8 2 5\\n9 6 3\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [1, 1], [0, 1], [0, 0], [1, 0], [1, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_764\\\", \\\"question\\\": [[4, 7, 1], [8, 2, 5], [9, 6, 3]], \\\"answer\\\": [[0, 0], [1, 1], [0, 1], [0, 0], [1, 0], [1, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_764"}
|
[[0, 0], [1, 1], [0, 1], [0, 0], [1, 0], [1, 1]]
|
{"id": "twiddle_hard_764", "question": [[4, 7, 1], [8, 2, 5], [9, 6, 3]], "answer": [[0, 0], [1, 1], [0, 1], [0, 0], [1, 0], [1, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 6 1
5 2 3
8 9 4
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 6 1\\n5 2 3\\n8 9 4\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 1], [0, 1], [0, 1], [0, 0], [1, 0], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_877\\\", \\\"question\\\": [[7, 6, 1], [5, 2, 3], [8, 9, 4]], \\\"answer\\\": [[1, 1], [0, 1], [0, 1], [0, 0], [1, 0], [0, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_877"}
|
[[1, 1], [0, 1], [0, 1], [0, 0], [1, 0], [0, 0]]
|
{"id": "twiddle_hard_877", "question": [[7, 6, 1], [5, 2, 3], [8, 9, 4]], "answer": [[1, 1], [0, 1], [0, 1], [0, 0], [1, 0], [0, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
4 1 7
9 2 3
8 5 6
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n4 1 7\\n9 2 3\\n8 5 6\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 0], [0, 1], [0, 0], [0, 0], [1, 0], [1, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_441\\\", \\\"question\\\": [[4, 1, 7], [9, 2, 3], [8, 5, 6]], \\\"answer\\\": [[1, 0], [0, 1], [0, 0], [0, 0], [1, 0], [1, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_441"}
|
[[1, 0], [0, 1], [0, 0], [0, 0], [1, 0], [1, 1]]
|
{"id": "twiddle_hard_441", "question": [[4, 1, 7], [9, 2, 3], [8, 5, 6]], "answer": [[1, 0], [0, 1], [0, 0], [0, 0], [1, 0], [1, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 1 3
4 5 6
9 2 8
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 1 3\\n4 5 6\\n9 2 8\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 1], [1, 1], [1, 1], [0, 0], [1, 0], [1, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_175\\\", \\\"question\\\": [[7, 1, 3], [4, 5, 6], [9, 2, 8]], \\\"answer\\\": [[1, 1], [1, 1], [1, 1], [0, 0], [1, 0], [1, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_175"}
|
[[1, 1], [1, 1], [1, 1], [0, 0], [1, 0], [1, 1]]
|
{"id": "twiddle_hard_175", "question": [[7, 1, 3], [4, 5, 6], [9, 2, 8]], "answer": [[1, 1], [1, 1], [1, 1], [0, 0], [1, 0], [1, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
1 2 6
4 9 5
7 3 8
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n1 2 6\\n4 9 5\\n7 3 8\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 1], [0, 1], [0, 1], [0, 1], [1, 1], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_2\\\", \\\"question\\\": [[1, 2, 6], [4, 9, 5], [7, 3, 8]], \\\"answer\\\": [[1, 1], [0, 1], [0, 1], [0, 1], [1, 1], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_2"}
|
[[1, 1], [0, 1], [0, 1], [0, 1], [1, 1], [0, 1]]
|
{"id": "twiddle_hard_2", "question": [[1, 2, 6], [4, 9, 5], [7, 3, 8]], "answer": [[1, 1], [0, 1], [0, 1], [0, 1], [1, 1], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
2 4 3
8 1 7
9 5 6
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n2 4 3\\n8 1 7\\n9 5 6\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_736\\\", \\\"question\\\": [[2, 4, 3], [8, 1, 7], [9, 5, 6]], \\\"answer\\\": [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0], [0, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_736"}
|
[[0, 0], [1, 0], [1, 1], [1, 0], [1, 0], [0, 0]]
|
{"id": "twiddle_hard_736", "question": [[2, 4, 3], [8, 1, 7], [9, 5, 6]], "answer": [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0], [0, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
7 1 5
4 6 8
9 3 2
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n7 1 5\\n4 6 8\\n9 3 2\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 1], [0, 0], [1, 0], [0, 1], [1, 1], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_907\\\", \\\"question\\\": [[7, 1, 5], [4, 6, 8], [9, 3, 2]], \\\"answer\\\": [[1, 1], [0, 0], [1, 0], [0, 1], [1, 1], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_907"}
|
[[1, 1], [0, 0], [1, 0], [0, 1], [1, 1], [0, 1]]
|
{"id": "twiddle_hard_907", "question": [[7, 1, 5], [4, 6, 8], [9, 3, 2]], "answer": [[1, 1], [0, 0], [1, 0], [0, 1], [1, 1], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
8 1 2
5 6 3
4 7 9
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n8 1 2\\n5 6 3\\n4 7 9\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 0], [0, 0], [0, 1], [1, 0], [1, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_147\\\", \\\"question\\\": [[8, 1, 2], [5, 6, 3], [4, 7, 9]], \\\"answer\\\": [[1, 0], [0, 0], [0, 1], [1, 0], [1, 0]], \\\"rotations\\\": 5, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_147"}
|
[[1, 0], [0, 0], [0, 1], [1, 0], [1, 0]]
|
{"id": "twiddle_hard_147", "question": [[8, 1, 2], [5, 6, 3], [4, 7, 9]], "answer": [[1, 0], [0, 0], [0, 1], [1, 0], [1, 0]], "rotations": 5, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
2 8 3
9 6 4
7 5 1
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n2 8 3\\n9 6 4\\n7 5 1\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 1], [0, 0], [1, 1], [0, 0], [0, 0], [1, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_492\\\", \\\"question\\\": [[2, 8, 3], [9, 6, 4], [7, 5, 1]], \\\"answer\\\": [[1, 1], [0, 0], [1, 1], [0, 0], [0, 0], [1, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_492"}
|
[[1, 1], [0, 0], [1, 1], [0, 0], [0, 0], [1, 1]]
|
{"id": "twiddle_hard_492", "question": [[2, 8, 3], [9, 6, 4], [7, 5, 1]], "answer": [[1, 1], [0, 0], [1, 1], [0, 0], [0, 0], [1, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
8 1 4
7 6 3
2 5 9
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n8 1 4\\n7 6 3\\n2 5 9\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [0, 0], [1, 0], [1, 0], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_614\\\", \\\"question\\\": [[8, 1, 4], [7, 6, 3], [2, 5, 9]], \\\"answer\\\": [[0, 1], [0, 0], [1, 0], [1, 0], [0, 0]], \\\"rotations\\\": 5, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_614"}
|
[[0, 1], [0, 0], [1, 0], [1, 0], [0, 0]]
|
{"id": "twiddle_hard_614", "question": [[8, 1, 4], [7, 6, 3], [2, 5, 9]], "answer": [[0, 1], [0, 0], [1, 0], [1, 0], [0, 0]], "rotations": 5, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
4 1 3
6 9 5
8 7 2
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n4 1 3\\n6 9 5\\n8 7 2\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_864\\\", \\\"question\\\": [[4, 1, 3], [6, 9, 5], [8, 7, 2]], \\\"answer\\\": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1], [0, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_864"}
|
[[1, 0], [1, 0], [1, 1], [1, 0], [1, 1], [0, 0]]
|
{"id": "twiddle_hard_864", "question": [[4, 1, 3], [6, 9, 5], [8, 7, 2]], "answer": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1], [0, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
4 8 5
6 3 1
7 9 2
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n4 8 5\\n6 3 1\\n7 9 2\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [1, 1], [0, 1], [0, 0], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_856\\\", \\\"question\\\": [[4, 8, 5], [6, 3, 1], [7, 9, 2]], \\\"answer\\\": [[0, 1], [1, 1], [0, 1], [0, 0], [0, 1]], \\\"rotations\\\": 5, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_856"}
|
[[0, 1], [1, 1], [0, 1], [0, 0], [0, 1]]
|
{"id": "twiddle_hard_856", "question": [[4, 8, 5], [6, 3, 1], [7, 9, 2]], "answer": [[0, 1], [1, 1], [0, 1], [0, 0], [0, 1]], "rotations": 5, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
8 4 1
7 2 3
6 9 5
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n8 4 1\\n7 2 3\\n6 9 5\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 0], [0, 0], [0, 1], [1, 1], [0, 0], [1, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_227\\\", \\\"question\\\": [[8, 4, 1], [7, 2, 3], [6, 9, 5]], \\\"answer\\\": [[1, 0], [0, 0], [0, 1], [1, 1], [0, 0], [1, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_227"}
|
[[1, 0], [0, 0], [0, 1], [1, 1], [0, 0], [1, 1]]
|
{"id": "twiddle_hard_227", "question": [[8, 4, 1], [7, 2, 3], [6, 9, 5]], "answer": [[1, 0], [0, 0], [0, 1], [1, 1], [0, 0], [1, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
4 7 1
5 9 3
8 6 2
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n4 7 1\\n5 9 3\\n8 6 2\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [0, 1], [1, 1], [1, 1], [0, 0], [1, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_91\\\", \\\"question\\\": [[4, 7, 1], [5, 9, 3], [8, 6, 2]], \\\"answer\\\": [[0, 0], [0, 1], [1, 1], [1, 1], [0, 0], [1, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_91"}
|
[[0, 0], [0, 1], [1, 1], [1, 1], [0, 0], [1, 0]]
|
{"id": "twiddle_hard_91", "question": [[4, 7, 1], [5, 9, 3], [8, 6, 2]], "answer": [[0, 0], [0, 1], [1, 1], [1, 1], [0, 0], [1, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
5 8 6
2 3 1
7 9 4
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n5 8 6\\n2 3 1\\n7 9 4\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 1], [1, 1], [0, 1], [0, 1], [0, 0], [0, 0]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_669\\\", \\\"question\\\": [[5, 8, 6], [2, 3, 1], [7, 9, 4]], \\\"answer\\\": [[0, 1], [1, 1], [0, 1], [0, 1], [0, 0], [0, 0]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_669"}
|
[[0, 1], [1, 1], [0, 1], [0, 1], [0, 0], [0, 0]]
|
{"id": "twiddle_hard_669", "question": [[5, 8, 6], [2, 3, 1], [7, 9, 4]], "answer": [[0, 1], [1, 1], [0, 1], [0, 1], [0, 0], [0, 0]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
1 3 8
7 4 6
9 5 2
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n1 3 8\\n7 4 6\\n9 5 2\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 0], [0, 1], [0, 1], [1, 1], [0, 1], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_567\\\", \\\"question\\\": [[1, 3, 8], [7, 4, 6], [9, 5, 2]], \\\"answer\\\": [[1, 0], [0, 1], [0, 1], [1, 1], [0, 1], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_567"}
|
[[1, 0], [0, 1], [0, 1], [1, 1], [0, 1], [0, 1]]
|
{"id": "twiddle_hard_567", "question": [[1, 3, 8], [7, 4, 6], [9, 5, 2]], "answer": [[1, 0], [0, 1], [0, 1], [1, 1], [0, 1], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
3 7 5
8 4 2
6 1 9
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n3 7 5\\n8 4 2\\n6 1 9\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 0], [0, 0], [0, 0], [0, 1], [1, 0], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_220\\\", \\\"question\\\": [[3, 7, 5], [8, 4, 2], [6, 1, 9]], \\\"answer\\\": [[1, 0], [0, 0], [0, 0], [0, 1], [1, 0], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_220"}
|
[[1, 0], [0, 0], [0, 0], [0, 1], [1, 0], [0, 1]]
|
{"id": "twiddle_hard_220", "question": [[3, 7, 5], [8, 4, 2], [6, 1, 9]], "answer": [[1, 0], [0, 0], [0, 0], [0, 1], [1, 0], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
5 6 2
7 4 1
8 9 3
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n5 6 2\\n7 4 1\\n8 9 3\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[1, 1], [1, 0], [0, 0], [0, 0], [0, 0], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_574\\\", \\\"question\\\": [[5, 6, 2], [7, 4, 1], [8, 9, 3]], \\\"answer\\\": [[1, 1], [1, 0], [0, 0], [0, 0], [0, 0], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_574"}
|
[[1, 1], [1, 0], [0, 0], [0, 0], [0, 0], [0, 1]]
|
{"id": "twiddle_hard_574", "question": [[5, 6, 2], [7, 4, 1], [8, 9, 3]], "answer": [[1, 1], [1, 0], [0, 0], [0, 0], [0, 0], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
Given a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.
Rules:
1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.
2. The goal is to restore the puzzle to its initial state (as shown below):
1 2 3
4 5 6
7 8 9
Please provide the steps to restore the puzzle to its initial state.
Response format:
- Please output your answer within a code block (```) as follows:
```
<result>
```
- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example
```
(0,0)->(1,1)->(0,1)
```
- The problem guarantees that a solution exists.
Here is the puzzle for you to solve:
8 4 5
9 1 2
7 3 6
Please provide the answer according to the above requirements.
|
{"ground_truth": "{\"prompt\": \"\\nGiven a 3x3 sliding puzzle where each cell contains a number (1 to 9), your goal is to restore the puzzle to its original sorted order through a series of rotation operations.\\n\\nRules:\\n1. You can select a 2x2 region within the 3x3 puzzle and rotate the positions of these 4 cells counterclockwise.\\n2. The goal is to restore the puzzle to its initial state (as shown below):\\n\\n1 2 3\\n4 5 6\\n7 8 9\\n\\nPlease provide the steps to restore the puzzle to its initial state.\\n\\nResponse format:\\n- Please output your answer within a code block (```) as follows:\\n```\\n<result>\\n```\\n- Replace `<result>` with a sequence of rotation steps, where each step is represented by a 2D coordinate (i, j) indicating the selection of the 2x2 region with (i, j) as the top-left corner for a counterclockwise rotation. For example\\n```\\n(0,0)->(1,1)->(0,1)\\n```\\n- The problem guarantees that a solution exists.\\n\\nHere is the puzzle for you to solve:\\n8 4 5\\n9 1 2\\n7 3 6\\n\\n\\nPlease provide the answer according to the above requirements.\\n\", \"answer\": [[0, 0], [0, 0], [0, 1], [1, 1], [1, 1], [0, 1]], \"task_name\": \"twiddle\", \"ability\": \"PUZZLE\", \"language\": \"en\", \"meta\": \"{\\\"id\\\": \\\"twiddle_hard_20\\\", \\\"question\\\": [[8, 4, 5], [9, 1, 2], [7, 3, 6]], \\\"answer\\\": [[0, 0], [0, 0], [0, 1], [1, 1], [1, 1], [0, 1]], \\\"rotations\\\": 6, \\\"rationale\\\": \\\"\\\", \\\"split\\\": \\\"test\\\", \\\"type\\\": \\\"spatial_puzzle\\\", \\\"source_url\\\": \\\"auto-generated\\\", \\\"dataset_name\\\": \\\"twiddle\\\", \\\"difficulty_level\\\": \\\"hard\\\", \\\"language\\\": \\\"en\\\", \\\"task_name\\\": \\\"twiddle\\\", \\\"difficulty\\\": \\\"hard\\\"}\"}", "style": "sequential"}
|
PUZZLE##twiddle
|
PUZZLE
|
{"index": "twiddle_hard_20"}
|
[[0, 0], [0, 0], [0, 1], [1, 1], [1, 1], [0, 1]]
|
{"id": "twiddle_hard_20", "question": [[8, 4, 5], [9, 1, 2], [7, 3, 6]], "answer": [[0, 0], [0, 0], [0, 1], [1, 1], [1, 1], [0, 1]], "rotations": 6, "rationale": "", "split": "test", "type": "spatial_puzzle", "source_url": "auto-generated", "dataset_name": "twiddle", "difficulty_level": "hard", "language": "en", "task_name": "twiddle", "difficulty": "hard"}
|
sequential
|
twiddle
|
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