options
listlengths 2
4
| solution
stringlengths 72
49.7k
| data_source
stringclasses 1
value | prompt
listlengths 2
2
| images
images listlengths 1
1
| ability
stringclasses 1
value | reward_model
dict | tokens
int64 483
13.1k
| avg_reward
float64 0
1
|
|---|---|---|---|---|---|---|---|---|
[
"2",
"1",
"6",
"5"
] |
{'start_position': [[4, 1], [3, 2], [6, 5]], 'end_position': [[4], [3, 2, 1], [6, 5]], 'moves': [{'position': [[4, 1], [3, 2], [6, 5]], 'num_moves': 0}, {'position': [[4], [3, 2, 1], [6, 5]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,079
| 0.375
|
|
[
"5",
"2",
"3",
"4"
] |
{'start_position': [[3], [4], [5, 2, 1]], 'end_position': [[3, 2, 1], [], [5, 4]], 'moves': [{'position': [[3], [4], [5, 2, 1]], 'num_moves': 0}, {'position': [[3], [4, 1], [5, 2]], 'num_moves': 1}, {'position': [[3, 2], [4, 1], [5]], 'num_moves': 2}, {'position': [[3, 2, 1], [4], [5]], 'num_moves': 3}, {'position': [[3, 2, 1], [], [5, 4]], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,419
| 0.25
|
|
[
"4",
"2",
"3",
"1"
] |
{'start_position': [[6], [5, 2, 1], [4, 3]], 'end_position': [[6, 1], [5], [4, 3, 2]], 'moves': [{'position': [[6], [5, 2, 1], [4, 3]], 'num_moves': 0}, {'position': [[6, 1], [5, 2], [4, 3]], 'num_moves': 1}, {'position': [[6, 1], [5], [4, 3, 2]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,079
| 0
|
|
[
"3",
"6",
"1",
"5"
] |
{'start_position': [[2], [3], [4, 1]], 'end_position': [[4, 1], [3], [2]], 'moves': [{'position': [[2], [3], [4, 1]], 'num_moves': 0}, {'position': [[], [3, 2], [4, 1]], 'num_moves': 1}, {'position': [[], [3, 2, 1], [4]], 'num_moves': 2}, {'position': [[4], [3, 2, 1], []], 'num_moves': 3}, {'position': [[4, 1], [3, 2], []], 'num_moves': 4}, {'position': [[4, 1], [3], [2]], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,691
| 0
|
|
[
"4",
"6",
"2",
"5"
] |
{'start_position': [[5, 2], [4, 3], [1]], 'end_position': [[5], [4, 3, 2, 1], []], 'moves': [{'position': [[5, 2], [4, 3], [1]], 'num_moves': 0}, {'position': [[5], [4, 3, 2], [1]], 'num_moves': 1}, {'position': [[5], [4, 3, 2, 1], []], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,419
| 0
|
|
[
"6",
"4",
"3",
"1"
] |
{'start_position': [[3, 2, 1], [], []], 'end_position': [[], [2, 1], [3]], 'moves': [{'position': [[3, 2, 1], [], []], 'num_moves': 0}, {'position': [[3, 2], [], [1]], 'num_moves': 1}, {'position': [[3], [2], [1]], 'num_moves': 2}, {'position': [[3], [2, 1], []], 'num_moves': 3}, {'position': [[], [2, 1], [3]], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 3 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,963
| 0.625
|
|
[
"4",
"2",
"5",
"6"
] |
{'start_position': [[6], [5, 4, 3], [2, 1]], 'end_position': [[], [5, 4, 3, 2], [6, 1]], 'moves': [{'position': [[6], [5, 4, 3], [2, 1]], 'num_moves': 0}, {'position': [[6, 1], [5, 4, 3], [2]], 'num_moves': 1}, {'position': [[6, 1], [5, 4, 3, 2], []], 'num_moves': 2}, {'position': [[6], [5, 4, 3, 2, 1], []], 'num_moves': 3}, {'position': [[], [5, 4, 3, 2, 1], [6]], 'num_moves': 4}, {'position': [[], [5, 4, 3, 2], [6, 1]], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,079
| 0.125
|
|
[
"6",
"1",
"5",
"2"
] |
{'start_position': [[2, 1], [], [4, 3]], 'end_position': [[4], [3, 2, 1], []], 'moves': [{'position': [[2, 1], [], [4, 3]], 'num_moves': 0}, {'position': [[2, 1], [3], [4]], 'num_moves': 1}, {'position': [[2], [3], [4, 1]], 'num_moves': 2}, {'position': [[], [3, 2], [4, 1]], 'num_moves': 3}, {'position': [[], [3, 2, 1], [4]], 'num_moves': 4}, {'position': [[4], [3, 2, 1], []], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,691
| 0.25
|
|
[
"1",
"2",
"4",
"5"
] |
{'start_position': [[4, 3, 2, 1], [5], [6]], 'end_position': [[4, 3, 2, 1], [], [6, 5]], 'moves': [{'position': [[4, 3, 2, 1], [5], [6]], 'num_moves': 0}, {'position': [[4, 3, 2, 1], [], [6, 5]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,079
| 0.25
|
|
[
"3",
"5",
"4",
"1"
] |
{'start_position': [[3], [2, 1], []], 'end_position': [[], [], [3, 2, 1]], 'moves': [{'position': [[3], [2, 1], []], 'num_moves': 0}, {'position': [[], [2, 1], [3]], 'num_moves': 1}, {'position': [[1], [2], [3]], 'num_moves': 2}, {'position': [[1], [], [3, 2]], 'num_moves': 3}, {'position': [[], [], [3, 2, 1]], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 3 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,963
| 0.125
|
|
[
"5",
"4",
"1",
"2"
] |
{'start_position': [[], [], [5, 4, 3, 2, 1]], 'end_position': [[3], [2, 1], [5, 4]], 'moves': [{'position': [[], [], [5, 4, 3, 2, 1]], 'num_moves': 0}, {'position': [[1], [], [5, 4, 3, 2]], 'num_moves': 1}, {'position': [[1], [2], [5, 4, 3]], 'num_moves': 2}, {'position': [[], [2, 1], [5, 4, 3]], 'num_moves': 3}, {'position': [[3], [2, 1], [5, 4]], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,419
| 0
|
|
[
"3",
"1",
"2",
"4"
] |
{'start_position': [[4, 3], [1], [2]], 'end_position': [[4, 1], [3, 2], []], 'moves': [{'position': [[4, 3], [1], [2]], 'num_moves': 0}, {'position': [[4, 3], [], [2, 1]], 'num_moves': 1}, {'position': [[4], [3], [2, 1]], 'num_moves': 2}, {'position': [[4, 1], [3], [2]], 'num_moves': 3}, {'position': [[4, 1], [3, 2], []], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,691
| 0
|
|
[
"3",
"1",
"6",
"2"
] |
{'start_position': [[3], [2], [5, 4, 1]], 'end_position': [[3, 2, 1], [], [5, 4]], 'moves': [{'position': [[3], [2], [5, 4, 1]], 'num_moves': 0}, {'position': [[3, 2], [], [5, 4, 1]], 'num_moves': 1}, {'position': [[3, 2, 1], [], [5, 4]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,419
| 0
|
|
[
"1",
"2",
"3",
"6"
] |
{'start_position': [[5, 2, 1], [4], [3]], 'end_position': [[5, 2], [4, 1], [3]], 'moves': [{'position': [[5, 2, 1], [4], [3]], 'num_moves': 0}, {'position': [[5, 2], [4, 1], [3]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,419
| 0.125
|
|
[
"1",
"5",
"4",
"3"
] |
{'start_position': [[5], [4, 1], [3, 2]], 'end_position': [[5, 4], [2, 1], [3]], 'moves': [{'position': [[5], [4, 1], [3, 2]], 'num_moves': 0}, {'position': [[5], [4], [3, 2, 1]], 'num_moves': 1}, {'position': [[5, 4], [], [3, 2, 1]], 'num_moves': 2}, {'position': [[5, 4, 1], [], [3, 2]], 'num_moves': 3}, {'position': [[5, 4, 1], [2], [3]], 'num_moves': 4}, {'position': [[5, 4], [2, 1], [3]], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,419
| 0.125
|
|
[
"3",
"6",
"4",
"1"
] |
{'start_position': [[], [2, 1], [3]], 'end_position': [[3, 2, 1], [], []], 'moves': [{'position': [[], [2, 1], [3]], 'num_moves': 0}, {'position': [[3], [2, 1], []], 'num_moves': 1}, {'position': [[3], [2], [1]], 'num_moves': 2}, {'position': [[3, 2], [], [1]], 'num_moves': 3}, {'position': [[3, 2, 1], [], []], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 3 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,963
| 0
|
|
[
"2",
"4",
"3",
"1"
] |
{'start_position': [[3, 2, 1], [4], [5]], 'end_position': [[3, 2], [4, 1], [5]], 'moves': [{'position': [[3, 2, 1], [4], [5]], 'num_moves': 0}, {'position': [[3, 2], [4, 1], [5]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,419
| 0.125
|
|
[
"2",
"6",
"1",
"5"
] |
{'start_position': [[4, 3], [1], [2]], 'end_position': [[], [3, 2, 1], [4]], 'moves': [{'position': [[4, 3], [1], [2]], 'num_moves': 0}, {'position': [[4, 3], [], [2, 1]], 'num_moves': 1}, {'position': [[4], [3], [2, 1]], 'num_moves': 2}, {'position': [[4, 1], [3], [2]], 'num_moves': 3}, {'position': [[4, 1], [3, 2], []], 'num_moves': 4}, {'position': [[4], [3, 2, 1], []], 'num_moves': 5}, {'position': [[], [3, 2, 1], [4]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,691
| 0
|
|
[
"5",
"1",
"6",
"2"
] |
{'start_position': [[2, 1], [5, 4, 3], [6]], 'end_position': [[4, 1], [5], [6, 3, 2]], 'moves': [{'position': [[2, 1], [5, 4, 3], [6]], 'num_moves': 0}, {'position': [[2, 1], [5, 4], [6, 3]], 'num_moves': 1}, {'position': [[2], [5, 4, 1], [6, 3]], 'num_moves': 2}, {'position': [[], [5, 4, 1], [6, 3, 2]], 'num_moves': 3}, {'position': [[], [5, 4], [6, 3, 2, 1]], 'num_moves': 4}, {'position': [[4], [5], [6, 3, 2, 1]], 'num_moves': 5}, {'position': [[4, 1], [5], [6, 3, 2]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,079
| 0.125
|
|
[
"2",
"5",
"6",
"1"
] |
{'start_position': [[5, 4, 1], [], [3, 2]], 'end_position': [[5, 4, 1], [2], [3]], 'moves': [{'position': [[5, 4, 1], [], [3, 2]], 'num_moves': 0}, {'position': [[5, 4, 1], [2], [3]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,419
| 0.875
|
|
[
"2",
"3",
"1",
"5"
] |
{'start_position': [[2], [3], [6, 5, 4, 1]], 'end_position': [[], [], [6, 5, 4, 3, 2, 1]], 'moves': [{'position': [[2], [3], [6, 5, 4, 1]], 'num_moves': 0}, {'position': [[2, 1], [3], [6, 5, 4]], 'num_moves': 1}, {'position': [[2, 1], [], [6, 5, 4, 3]], 'num_moves': 2}, {'position': [[2], [1], [6, 5, 4, 3]], 'num_moves': 3}, {'position': [[], [1], [6, 5, 4, 3, 2]], 'num_moves': 4}, {'position': [[], [], [6, 5, 4, 3, 2, 1]], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,079
| 0
|
|
[
"3",
"4",
"1",
"5"
] |
{'start_position': [[6, 5, 2, 1], [], [4, 3]], 'end_position': [[6, 5, 4], [3, 2, 1], []], 'moves': [{'position': [[6, 5, 2, 1], [], [4, 3]], 'num_moves': 0}, {'position': [[6, 5, 2, 1], [3], [4]], 'num_moves': 1}, {'position': [[6, 5, 2], [3], [4, 1]], 'num_moves': 2}, {'position': [[6, 5], [3, 2], [4, 1]], 'num_moves': 3}, {'position': [[6, 5], [3, 2, 1], [4]], 'num_moves': 4}, {'position': [[6, 5, 4], [3, 2, 1], []], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,079
| 0
|
|
[
"6",
"4",
"1",
"2"
] |
{'start_position': [[2], [3], [4, 1]], 'end_position': [[4], [3], [2, 1]], 'moves': [{'position': [[2], [3], [4, 1]], 'num_moves': 0}, {'position': [[], [3, 2], [4, 1]], 'num_moves': 1}, {'position': [[], [3, 2, 1], [4]], 'num_moves': 2}, {'position': [[4], [3, 2, 1], []], 'num_moves': 3}, {'position': [[4, 1], [3, 2], []], 'num_moves': 4}, {'position': [[4, 1], [3], [2]], 'num_moves': 5}, {'position': [[4], [3], [2, 1]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,691
| 0
|
|
[
"2",
"6",
"3",
"4"
] |
{'start_position': [[6, 5, 4, 1], [3], [2]], 'end_position': [[6, 5, 4], [3, 2, 1], []], 'moves': [{'position': [[6, 5, 4, 1], [3], [2]], 'num_moves': 0}, {'position': [[6, 5, 4, 1], [3, 2], []], 'num_moves': 1}, {'position': [[6, 5, 4], [3, 2, 1], []], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,079
| 0
|
|
[
"6",
"3",
"2",
"1"
] |
{'start_position': [[4], [5], [6, 3, 2, 1]], 'end_position': [[4], [5, 2, 1], [6, 3]], 'moves': [{'position': [[4], [5], [6, 3, 2, 1]], 'num_moves': 0}, {'position': [[4, 1], [5], [6, 3, 2]], 'num_moves': 1}, {'position': [[4, 1], [5, 2], [6, 3]], 'num_moves': 2}, {'position': [[4], [5, 2, 1], [6, 3]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,079
| 0
|
|
[
"4",
"6",
"5",
"3"
] |
{'start_position': [[2], [5, 4, 1], [6, 3]], 'end_position': [[4, 1], [5, 2], [6, 3]], 'moves': [{'position': [[2], [5, 4, 1], [6, 3]], 'num_moves': 0}, {'position': [[], [5, 4, 1], [6, 3, 2]], 'num_moves': 1}, {'position': [[], [5, 4], [6, 3, 2, 1]], 'num_moves': 2}, {'position': [[4], [5], [6, 3, 2, 1]], 'num_moves': 3}, {'position': [[4, 1], [5], [6, 3, 2]], 'num_moves': 4}, {'position': [[4, 1], [5, 2], [6, 3]], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,079
| 0
|
|
[
"5",
"4",
"2",
"6"
] |
{'start_position': [[], [3, 2], [4, 1]], 'end_position': [[2, 1], [3], [4]], 'moves': [{'position': [[], [3, 2], [4, 1]], 'num_moves': 0}, {'position': [[2], [3], [4, 1]], 'num_moves': 1}, {'position': [[2, 1], [3], [4]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,691
| 0.125
|
|
[
"5",
"1",
"6",
"2"
] |
{'start_position': [[4, 1], [5, 2], [6, 3]], 'end_position': [[4, 3, 2, 1], [], [6, 5]], 'moves': [{'position': [[4, 1], [5, 2], [6, 3]], 'num_moves': 0}, {'position': [[4], [5, 2, 1], [6, 3]], 'num_moves': 1}, {'position': [[4, 3], [5, 2, 1], [6]], 'num_moves': 2}, {'position': [[4, 3], [5, 2], [6, 1]], 'num_moves': 3}, {'position': [[4, 3, 2], [5], [6, 1]], 'num_moves': 4}, {'position': [[4, 3, 2, 1], [5], [6]], 'num_moves': 5}, {'position': [[4, 3, 2, 1], [], [6, 5]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,079
| 0.25
|
|
[
"5",
"4",
"6",
"2"
] |
{'start_position': [[], [], [3, 2, 1]], 'end_position': [[3], [2, 1], []], 'moves': [{'position': [[], [], [3, 2, 1]], 'num_moves': 0}, {'position': [[1], [], [3, 2]], 'num_moves': 1}, {'position': [[1], [2], [3]], 'num_moves': 2}, {'position': [[], [2, 1], [3]], 'num_moves': 3}, {'position': [[3], [2, 1], []], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 3 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,963
| 0.625
|
|
[
"3",
"2",
"5",
"6"
] |
{'start_position': [[5], [4, 1], [3, 2]], 'end_position': [[5], [4, 3, 2], [1]], 'moves': [{'position': [[5], [4, 1], [3, 2]], 'num_moves': 0}, {'position': [[5, 2], [4, 1], [3]], 'num_moves': 1}, {'position': [[5, 2, 1], [4], [3]], 'num_moves': 2}, {'position': [[5, 2, 1], [4, 3], []], 'num_moves': 3}, {'position': [[5, 2], [4, 3], [1]], 'num_moves': 4}, {'position': [[5], [4, 3, 2], [1]], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,419
| 0
|
|
[
"4",
"1",
"2",
"3"
] |
{'start_position': [[5, 4], [2, 1], [3]], 'end_position': [[5, 4, 3], [2], [1]], 'moves': [{'position': [[5, 4], [2, 1], [3]], 'num_moves': 0}, {'position': [[5, 4, 3], [2, 1], []], 'num_moves': 1}, {'position': [[5, 4, 3], [2], [1]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,419
| 0.25
|
|
[
"6",
"4",
"5",
"3"
] |
{'start_position': [[6, 5, 4], [3], [2, 1]], 'end_position': [[6, 5, 2], [3], [4, 1]], 'moves': [{'position': [[6, 5, 4], [3], [2, 1]], 'num_moves': 0}, {'position': [[6, 5, 4, 1], [3], [2]], 'num_moves': 1}, {'position': [[6, 5, 4, 1], [3, 2], []], 'num_moves': 2}, {'position': [[6, 5, 4], [3, 2, 1], []], 'num_moves': 3}, {'position': [[6, 5], [3, 2, 1], [4]], 'num_moves': 4}, {'position': [[6, 5], [3, 2], [4, 1]], 'num_moves': 5}, {'position': [[6, 5, 2], [3], [4, 1]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,079
| 0.125
|
|
[
"1",
"2",
"6",
"4"
] |
{'start_position': [[4, 1], [3, 2], [6, 5]], 'end_position': [[4, 3, 2, 1], [], [6, 5]], 'moves': [{'position': [[4, 1], [3, 2], [6, 5]], 'num_moves': 0}, {'position': [[4, 1], [3], [6, 5, 2]], 'num_moves': 1}, {'position': [[4], [3], [6, 5, 2, 1]], 'num_moves': 2}, {'position': [[4, 3], [], [6, 5, 2, 1]], 'num_moves': 3}, {'position': [[4, 3], [1], [6, 5, 2]], 'num_moves': 4}, {'position': [[4, 3, 2], [1], [6, 5]], 'num_moves': 5}, {'position': [[4, 3, 2, 1], [], [6, 5]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,079
| 0.25
|
|
[
"6",
"1",
"5",
"4"
] |
{'start_position': [[4, 1], [3, 2], []], 'end_position': [[4, 1], [3], [2]], 'moves': [{'position': [[4, 1], [3, 2], []], 'num_moves': 0}, {'position': [[4, 1], [3], [2]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,691
| 0.375
|
|
[
"6",
"3",
"1",
"4"
] |
{'start_position': [[], [3, 2], [6, 5, 4, 1]], 'end_position': [[4, 3], [], [6, 5, 2, 1]], 'moves': [{'position': [[], [3, 2], [6, 5, 4, 1]], 'num_moves': 0}, {'position': [[], [3, 2, 1], [6, 5, 4]], 'num_moves': 1}, {'position': [[4], [3, 2, 1], [6, 5]], 'num_moves': 2}, {'position': [[4, 1], [3, 2], [6, 5]], 'num_moves': 3}, {'position': [[4, 1], [3], [6, 5, 2]], 'num_moves': 4}, {'position': [[4], [3], [6, 5, 2, 1]], 'num_moves': 5}, {'position': [[4, 3], [], [6, 5, 2, 1]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,079
| 0
|
|
[
"2",
"5",
"1",
"4"
] |
{'start_position': [[5, 2, 1], [4], [3]], 'end_position': [[5], [4, 1], [3, 2]], 'moves': [{'position': [[5, 2, 1], [4], [3]], 'num_moves': 0}, {'position': [[5, 2], [4, 1], [3]], 'num_moves': 1}, {'position': [[5], [4, 1], [3, 2]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,419
| 0.125
|
|
[
"1",
"3",
"4",
"6"
] |
{'start_position': [[5], [4, 1], [3, 2]], 'end_position': [[5, 4, 1], [], [3, 2]], 'moves': [{'position': [[5], [4, 1], [3, 2]], 'num_moves': 0}, {'position': [[5], [4], [3, 2, 1]], 'num_moves': 1}, {'position': [[5, 4], [], [3, 2, 1]], 'num_moves': 2}, {'position': [[5, 4, 1], [], [3, 2]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,419
| 0
|
|
[
"6",
"3",
"5",
"4"
] |
{'start_position': [[], [3, 2], [4, 1]], 'end_position': [[], [1], [4, 3, 2]], 'moves': [{'position': [[], [3, 2], [4, 1]], 'num_moves': 0}, {'position': [[2], [3], [4, 1]], 'num_moves': 1}, {'position': [[2, 1], [3], [4]], 'num_moves': 2}, {'position': [[2, 1], [], [4, 3]], 'num_moves': 3}, {'position': [[2], [1], [4, 3]], 'num_moves': 4}, {'position': [[], [1], [4, 3, 2]], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,691
| 0.125
|
|
[
"3",
"1",
"6",
"2"
] |
{'start_position': [[2, 1], [], [4, 3]], 'end_position': [[], [], [4, 3, 2, 1]], 'moves': [{'position': [[2, 1], [], [4, 3]], 'num_moves': 0}, {'position': [[2], [1], [4, 3]], 'num_moves': 1}, {'position': [[], [1], [4, 3, 2]], 'num_moves': 2}, {'position': [[], [], [4, 3, 2, 1]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,691
| 0.25
|
|
[
"4",
"1",
"6",
"2"
] |
{'start_position': [[6, 1], [5, 4, 3, 2], []], 'end_position': [[6, 1], [5, 4, 3], [2]], 'moves': [{'position': [[6, 1], [5, 4, 3, 2], []], 'num_moves': 0}, {'position': [[6, 1], [5, 4, 3], [2]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,079
| 0.375
|
|
[
"3",
"6",
"2",
"1"
] |
{'start_position': [[5], [4, 3, 2, 1], []], 'end_position': [[3], [4, 1], [5, 2]], 'moves': [{'position': [[5], [4, 3, 2, 1], []], 'num_moves': 0}, {'position': [[], [4, 3, 2, 1], [5]], 'num_moves': 1}, {'position': [[1], [4, 3, 2], [5]], 'num_moves': 2}, {'position': [[1], [4, 3], [5, 2]], 'num_moves': 3}, {'position': [[], [4, 3], [5, 2, 1]], 'num_moves': 4}, {'position': [[3], [4], [5, 2, 1]], 'num_moves': 5}, {'position': [[3], [4, 1], [5, 2]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,419
| 0
|
|
[
"3",
"4",
"1",
"6"
] |
{'start_position': [[], [3, 2, 1], [4]], 'end_position': [[2, 1], [3], [4]], 'moves': [{'position': [[], [3, 2, 1], [4]], 'num_moves': 0}, {'position': [[], [3, 2], [4, 1]], 'num_moves': 1}, {'position': [[2], [3], [4, 1]], 'num_moves': 2}, {'position': [[2, 1], [3], [4]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,691
| 0.625
|
|
[
"6",
"1",
"2",
"3"
] |
{'start_position': [[1], [4, 3], [5, 2]], 'end_position': [[5, 2, 1], [4, 3], []], 'moves': [{'position': [[1], [4, 3], [5, 2]], 'num_moves': 0}, {'position': [[1], [4, 3, 2], [5]], 'num_moves': 1}, {'position': [[], [4, 3, 2, 1], [5]], 'num_moves': 2}, {'position': [[5], [4, 3, 2, 1], []], 'num_moves': 3}, {'position': [[5], [4, 3, 2], [1]], 'num_moves': 4}, {'position': [[5, 2], [4, 3], [1]], 'num_moves': 5}, {'position': [[5, 2, 1], [4, 3], []], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,419
| 0
|
|
[
"5",
"6",
"3",
"2"
] |
{'start_position': [[4], [3, 2, 1], [6, 5]], 'end_position': [[4], [3], [6, 5, 2, 1]], 'moves': [{'position': [[4], [3, 2, 1], [6, 5]], 'num_moves': 0}, {'position': [[4, 1], [3, 2], [6, 5]], 'num_moves': 1}, {'position': [[4, 1], [3], [6, 5, 2]], 'num_moves': 2}, {'position': [[4], [3], [6, 5, 2, 1]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,079
| 0.25
|
|
[
"5",
"4",
"2",
"1"
] |
{'start_position': [[], [], [3, 2, 1]], 'end_position': [[1], [2], [3]], 'moves': [{'position': [[], [], [3, 2, 1]], 'num_moves': 0}, {'position': [[1], [], [3, 2]], 'num_moves': 1}, {'position': [[1], [2], [3]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 3 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,963
| 0.875
|
|
[
"5",
"1",
"4",
"6"
] |
{'start_position': [[2, 1], [5, 4, 3], [6]], 'end_position': [[2], [5, 4, 3], [6, 1]], 'moves': [{'position': [[2, 1], [5, 4, 3], [6]], 'num_moves': 0}, {'position': [[2], [5, 4, 3], [6, 1]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,079
| 0.375
|
|
[
"1",
"6",
"2",
"3"
] |
{'start_position': [[6, 5, 2], [3], [4, 1]], 'end_position': [[6, 5, 4], [3, 2, 1], []], 'moves': [{'position': [[6, 5, 2], [3], [4, 1]], 'num_moves': 0}, {'position': [[6, 5], [3, 2], [4, 1]], 'num_moves': 1}, {'position': [[6, 5], [3, 2, 1], [4]], 'num_moves': 2}, {'position': [[6, 5, 4], [3, 2, 1], []], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,079
| 0.125
|
|
[
"2",
"5",
"3",
"4"
] |
{'start_position': [[], [3, 2, 1], [6, 5, 4]], 'end_position': [[2], [3], [6, 5, 4, 1]], 'moves': [{'position': [[], [3, 2, 1], [6, 5, 4]], 'num_moves': 0}, {'position': [[], [3, 2], [6, 5, 4, 1]], 'num_moves': 1}, {'position': [[2], [3], [6, 5, 4, 1]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,079
| 0
|
|
[
"4",
"3",
"5",
"2"
] |
{'start_position': [[5, 4, 1], [2], [3]], 'end_position': [[5, 4, 3, 2, 1], [], []], 'moves': [{'position': [[5, 4, 1], [2], [3]], 'num_moves': 0}, {'position': [[5, 4], [2, 1], [3]], 'num_moves': 1}, {'position': [[5, 4, 3], [2, 1], []], 'num_moves': 2}, {'position': [[5, 4, 3], [2], [1]], 'num_moves': 3}, {'position': [[5, 4, 3, 2], [], [1]], 'num_moves': 4}, {'position': [[5, 4, 3, 2, 1], [], []], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,419
| 0.25
|
|
[
"2",
"3",
"5",
"1"
] |
{'start_position': [[3], [2], [1]], 'end_position': [[1], [2], [3]], 'moves': [{'position': [[3], [2], [1]], 'num_moves': 0}, {'position': [[3], [2, 1], []], 'num_moves': 1}, {'position': [[], [2, 1], [3]], 'num_moves': 2}, {'position': [[1], [2], [3]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 3 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,963
| 0.375
|
|
[
"6",
"1",
"4",
"5"
] |
{'start_position': [[4, 3], [1], [5, 2]], 'end_position': [[4, 3, 2], [1], [5]], 'moves': [{'position': [[4, 3], [1], [5, 2]], 'num_moves': 0}, {'position': [[4, 3, 2], [1], [5]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,419
| 0.625
|
|
[
"3",
"1",
"2",
"6"
] |
{'start_position': [[3], [2, 1], [6, 5, 4]], 'end_position': [[], [2, 1], [6, 5, 4, 3]], 'moves': [{'position': [[3], [2, 1], [6, 5, 4]], 'num_moves': 0}, {'position': [[], [2, 1], [6, 5, 4, 3]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,079
| 0.25
|
|
[
"6",
"4",
"5",
"3"
] |
{'start_position': [[3, 2], [1], [4]], 'end_position': [[], [2, 1], [4, 3]], 'moves': [{'position': [[3, 2], [1], [4]], 'num_moves': 0}, {'position': [[3, 2], [], [4, 1]], 'num_moves': 1}, {'position': [[3], [2], [4, 1]], 'num_moves': 2}, {'position': [[3], [2, 1], [4]], 'num_moves': 3}, {'position': [[], [2, 1], [4, 3]], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,691
| 0.125
|
|
[
"3",
"6",
"2",
"4"
] |
{'start_position': [[1], [3, 2], []], 'end_position': [[], [1], [3, 2]], 'moves': [{'position': [[1], [3, 2], []], 'num_moves': 0}, {'position': [[], [3, 2], [1]], 'num_moves': 1}, {'position': [[2], [3], [1]], 'num_moves': 2}, {'position': [[2, 1], [3], []], 'num_moves': 3}, {'position': [[2, 1], [], [3]], 'num_moves': 4}, {'position': [[2], [1], [3]], 'num_moves': 5}, {'position': [[], [1], [3, 2]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 3 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,963
| 0
|
|
[
"1",
"3",
"5",
"6"
] |
{'start_position': [[5, 2], [6, 1], [4, 3]], 'end_position': [[], [6, 5, 2, 1], [4, 3]], 'moves': [{'position': [[5, 2], [6, 1], [4, 3]], 'num_moves': 0}, {'position': [[5], [6, 1], [4, 3, 2]], 'num_moves': 1}, {'position': [[5], [6], [4, 3, 2, 1]], 'num_moves': 2}, {'position': [[], [6, 5], [4, 3, 2, 1]], 'num_moves': 3}, {'position': [[1], [6, 5], [4, 3, 2]], 'num_moves': 4}, {'position': [[1], [6, 5, 2], [4, 3]], 'num_moves': 5}, {'position': [[], [6, 5, 2, 1], [4, 3]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,079
| 0.125
|
|
[
"3",
"1",
"2",
"5"
] |
{'start_position': [[4, 3], [], [6, 5, 2, 1]], 'end_position': [[4, 1], [3], [6, 5, 2]], 'moves': [{'position': [[4, 3], [], [6, 5, 2, 1]], 'num_moves': 0}, {'position': [[4], [3], [6, 5, 2, 1]], 'num_moves': 1}, {'position': [[4, 1], [3], [6, 5, 2]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,079
| 0
|
|
[
"3",
"1",
"2",
"6"
] |
{'start_position': [[4, 3, 2, 1], [], [5]], 'end_position': [[4, 3, 2], [1], [5]], 'moves': [{'position': [[4, 3, 2, 1], [], [5]], 'num_moves': 0}, {'position': [[4, 3, 2], [1], [5]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,419
| 0.625
|
|
[
"3",
"6",
"2",
"1"
] |
{'start_position': [[2], [1], [4, 3]], 'end_position': [[2], [3], [4, 1]], 'moves': [{'position': [[2], [1], [4, 3]], 'num_moves': 0}, {'position': [[2, 1], [], [4, 3]], 'num_moves': 1}, {'position': [[2, 1], [3], [4]], 'num_moves': 2}, {'position': [[2], [3], [4, 1]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,691
| 0.125
|
|
[
"3",
"4",
"6",
"5"
] |
{'start_position': [[4, 1], [3], [5, 2]], 'end_position': [[2, 1], [3], [5, 4]], 'moves': [{'position': [[4, 1], [3], [5, 2]], 'num_moves': 0}, {'position': [[4, 1], [3, 2], [5]], 'num_moves': 1}, {'position': [[4], [3, 2, 1], [5]], 'num_moves': 2}, {'position': [[], [3, 2, 1], [5, 4]], 'num_moves': 3}, {'position': [[], [3, 2], [5, 4, 1]], 'num_moves': 4}, {'position': [[2], [3], [5, 4, 1]], 'num_moves': 5}, {'position': [[2, 1], [3], [5, 4]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,419
| 0
|
|
[
"1",
"3",
"2",
"6"
] |
{'start_position': [[], [], [3, 2, 1]], 'end_position': [[2, 1], [], [3]], 'moves': [{'position': [[], [], [3, 2, 1]], 'num_moves': 0}, {'position': [[], [1], [3, 2]], 'num_moves': 1}, {'position': [[2], [1], [3]], 'num_moves': 2}, {'position': [[2, 1], [], [3]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 3 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,963
| 0.75
|
|
[
"3",
"1",
"5",
"2"
] |
{'start_position': [[], [2, 1], [4, 3]], 'end_position': [[3], [2, 1], [4]], 'moves': [{'position': [[], [2, 1], [4, 3]], 'num_moves': 0}, {'position': [[3], [2, 1], [4]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,691
| 0.25
|
|
[
"1",
"2",
"4",
"6"
] |
{'start_position': [[6, 1], [5, 2], [4, 3]], 'end_position': [[6], [5], [4, 3, 2, 1]], 'moves': [{'position': [[6, 1], [5, 2], [4, 3]], 'num_moves': 0}, {'position': [[6, 1], [5], [4, 3, 2]], 'num_moves': 1}, {'position': [[6], [5], [4, 3, 2, 1]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,079
| 0
|
|
[
"3",
"4",
"1",
"6"
] |
{'start_position': [[1], [], [4, 3, 2]], 'end_position': [[3], [2, 1], [4]], 'moves': [{'position': [[1], [], [4, 3, 2]], 'num_moves': 0}, {'position': [[1], [2], [4, 3]], 'num_moves': 1}, {'position': [[], [2, 1], [4, 3]], 'num_moves': 2}, {'position': [[3], [2, 1], [4]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,691
| 0
|
|
[
"4",
"6",
"5",
"3"
] |
{'start_position': [[2], [1], [5, 4, 3]], 'end_position': [[], [3, 2], [5, 4, 1]], 'moves': [{'position': [[2], [1], [5, 4, 3]], 'num_moves': 0}, {'position': [[2, 1], [], [5, 4, 3]], 'num_moves': 1}, {'position': [[2, 1], [3], [5, 4]], 'num_moves': 2}, {'position': [[2], [3], [5, 4, 1]], 'num_moves': 3}, {'position': [[], [3, 2], [5, 4, 1]], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,419
| 0
|
|
[
"2",
"6",
"1",
"4"
] |
{'start_position': [[4], [3, 2, 1], [6, 5]], 'end_position': [[4, 1], [3], [6, 5, 2]], 'moves': [{'position': [[4], [3, 2, 1], [6, 5]], 'num_moves': 0}, {'position': [[4, 1], [3, 2], [6, 5]], 'num_moves': 1}, {'position': [[4, 1], [3], [6, 5, 2]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,079
| 0.125
|
|
[
"5",
"4",
"3",
"6"
] |
{'start_position': [[], [5, 4], [6, 3, 2, 1]], 'end_position': [[4, 3], [5, 2], [6, 1]], 'moves': [{'position': [[], [5, 4], [6, 3, 2, 1]], 'num_moves': 0}, {'position': [[4], [5], [6, 3, 2, 1]], 'num_moves': 1}, {'position': [[4, 1], [5], [6, 3, 2]], 'num_moves': 2}, {'position': [[4, 1], [5, 2], [6, 3]], 'num_moves': 3}, {'position': [[4], [5, 2, 1], [6, 3]], 'num_moves': 4}, {'position': [[4, 3], [5, 2, 1], [6]], 'num_moves': 5}, {'position': [[4, 3], [5, 2], [6, 1]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,079
| 0
|
|
[
"4",
"6",
"3",
"1"
] |
{'start_position': [[4, 1], [3, 2], []], 'end_position': [[4], [3, 2, 1], []], 'moves': [{'position': [[4, 1], [3, 2], []], 'num_moves': 0}, {'position': [[4], [3, 2, 1], []], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,691
| 0
|
|
[
"5",
"1",
"3",
"6"
] |
{'start_position': [[], [], [3, 2, 1]], 'end_position': [[1], [], [3, 2]], 'moves': [{'position': [[], [], [3, 2, 1]], 'num_moves': 0}, {'position': [[1], [], [3, 2]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 3 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,963
| 0.5
|
|
[
"3",
"5",
"1",
"6"
] |
{'start_position': [[3, 2, 1], [], [5, 4]], 'end_position': [[1], [4, 3], [5, 2]], 'moves': [{'position': [[3, 2, 1], [], [5, 4]], 'num_moves': 0}, {'position': [[3, 2, 1], [4], [5]], 'num_moves': 1}, {'position': [[3, 2], [4, 1], [5]], 'num_moves': 2}, {'position': [[3], [4, 1], [5, 2]], 'num_moves': 3}, {'position': [[3], [4], [5, 2, 1]], 'num_moves': 4}, {'position': [[], [4, 3], [5, 2, 1]], 'num_moves': 5}, {'position': [[1], [4, 3], [5, 2]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,419
| 0.125
|
|
[
"1",
"4",
"3",
"5"
] |
{'start_position': [[4, 3], [], [5, 2, 1]], 'end_position': [[4], [3, 2, 1], [5]], 'moves': [{'position': [[4, 3], [], [5, 2, 1]], 'num_moves': 0}, {'position': [[4], [3], [5, 2, 1]], 'num_moves': 1}, {'position': [[4, 1], [3], [5, 2]], 'num_moves': 2}, {'position': [[4, 1], [3, 2], [5]], 'num_moves': 3}, {'position': [[4], [3, 2, 1], [5]], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,419
| 0
|
|
[
"5",
"6",
"2",
"4"
] |
{'start_position': [[4, 3], [], [2, 1]], 'end_position': [[], [3, 2, 1], [4]], 'moves': [{'position': [[4, 3], [], [2, 1]], 'num_moves': 0}, {'position': [[4], [3], [2, 1]], 'num_moves': 1}, {'position': [[4, 1], [3], [2]], 'num_moves': 2}, {'position': [[4, 1], [3, 2], []], 'num_moves': 3}, {'position': [[4], [3, 2, 1], []], 'num_moves': 4}, {'position': [[], [3, 2, 1], [4]], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,691
| 0
|
|
[
"1",
"5",
"2",
"3"
] |
{'start_position': [[1], [2], [4, 3]], 'end_position': [[], [], [4, 3, 2, 1]], 'moves': [{'position': [[1], [2], [4, 3]], 'num_moves': 0}, {'position': [[1], [], [4, 3, 2]], 'num_moves': 1}, {'position': [[], [], [4, 3, 2, 1]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,691
| 0.125
|
|
[
"1",
"4",
"6",
"2"
] |
{'start_position': [[1], [2], [3]], 'end_position': [[1], [], [3, 2]], 'moves': [{'position': [[1], [2], [3]], 'num_moves': 0}, {'position': [[1], [], [3, 2]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 3 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,963
| 0.5
|
|
[
"3",
"6",
"5",
"4"
] |
{'start_position': [[4], [5], [3, 2, 1]], 'end_position': [[4, 3, 2], [5], [1]], 'moves': [{'position': [[4], [5], [3, 2, 1]], 'num_moves': 0}, {'position': [[4, 1], [5], [3, 2]], 'num_moves': 1}, {'position': [[4, 1], [5, 2], [3]], 'num_moves': 2}, {'position': [[4], [5, 2, 1], [3]], 'num_moves': 3}, {'position': [[4, 3], [5, 2, 1], []], 'num_moves': 4}, {'position': [[4, 3], [5, 2], [1]], 'num_moves': 5}, {'position': [[4, 3, 2], [5], [1]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,419
| 0
|
|
[
"3",
"6",
"1",
"5"
] |
{'start_position': [[], [], [3, 2, 1]], 'end_position': [[], [1], [3, 2]], 'moves': [{'position': [[], [], [3, 2, 1]], 'num_moves': 0}, {'position': [[], [1], [3, 2]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 3 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,963
| 0.5
|
|
[
"6",
"3",
"2",
"5"
] |
{'start_position': [[4, 1], [5, 3, 2], []], 'end_position': [[4, 3], [5], [2, 1]], 'moves': [{'position': [[4, 1], [5, 3, 2], []], 'num_moves': 0}, {'position': [[4, 1], [5, 3], [2]], 'num_moves': 1}, {'position': [[4], [5, 3], [2, 1]], 'num_moves': 2}, {'position': [[4, 3], [5], [2, 1]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,419
| 0
|
|
[
"2",
"1",
"4",
"6"
] |
{'start_position': [[2], [3], [5, 4, 1]], 'end_position': [[4], [3, 2], [5, 1]], 'moves': [{'position': [[2], [3], [5, 4, 1]], 'num_moves': 0}, {'position': [[], [3, 2], [5, 4, 1]], 'num_moves': 1}, {'position': [[], [3, 2, 1], [5, 4]], 'num_moves': 2}, {'position': [[4], [3, 2, 1], [5]], 'num_moves': 3}, {'position': [[4], [3, 2], [5, 1]], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,419
| 0.125
|
|
[
"3",
"1",
"4",
"5"
] |
{'start_position': [[4], [5, 2, 1], [6, 3]], 'end_position': [[4, 3, 2, 1], [5], [6]], 'moves': [{'position': [[4], [5, 2, 1], [6, 3]], 'num_moves': 0}, {'position': [[4, 3], [5, 2, 1], [6]], 'num_moves': 1}, {'position': [[4, 3], [5, 2], [6, 1]], 'num_moves': 2}, {'position': [[4, 3, 2], [5], [6, 1]], 'num_moves': 3}, {'position': [[4, 3, 2, 1], [5], [6]], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,079
| 0
|
|
[
"6",
"5",
"3",
"1"
] |
{'start_position': [[4, 1], [3, 2], [6, 5]], 'end_position': [[4, 3], [], [6, 5, 2, 1]], 'moves': [{'position': [[4, 1], [3, 2], [6, 5]], 'num_moves': 0}, {'position': [[4, 1], [3], [6, 5, 2]], 'num_moves': 1}, {'position': [[4], [3], [6, 5, 2, 1]], 'num_moves': 2}, {'position': [[4, 3], [], [6, 5, 2, 1]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,079
| 0.125
|
|
[
"5",
"3",
"4",
"2"
] |
{'start_position': [[5, 4, 2], [3, 1], []], 'end_position': [[5, 4, 2, 1], [], [3]], 'moves': [{'position': [[5, 4, 2], [3, 1], []], 'num_moves': 0}, {'position': [[5, 4, 2, 1], [3], []], 'num_moves': 1}, {'position': [[5, 4, 2, 1], [], [3]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,419
| 0.375
|
|
[
"2",
"1",
"5",
"3"
] |
{'start_position': [[5], [4, 3, 2, 1], [6]], 'end_position': [[1], [4, 3], [6, 5, 2]], 'moves': [{'position': [[5], [4, 3, 2, 1], [6]], 'num_moves': 0}, {'position': [[], [4, 3, 2, 1], [6, 5]], 'num_moves': 1}, {'position': [[1], [4, 3, 2], [6, 5]], 'num_moves': 2}, {'position': [[1], [4, 3], [6, 5, 2]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,079
| 0.375
|
|
[
"1",
"3",
"4",
"6"
] |
{'start_position': [[4, 1], [3, 2], [6, 5]], 'end_position': [[2, 1], [], [6, 5, 4, 3]], 'moves': [{'position': [[4, 1], [3, 2], [6, 5]], 'num_moves': 0}, {'position': [[4], [3, 2, 1], [6, 5]], 'num_moves': 1}, {'position': [[], [3, 2, 1], [6, 5, 4]], 'num_moves': 2}, {'position': [[], [3, 2], [6, 5, 4, 1]], 'num_moves': 3}, {'position': [[2], [3], [6, 5, 4, 1]], 'num_moves': 4}, {'position': [[2, 1], [3], [6, 5, 4]], 'num_moves': 5}, {'position': [[2, 1], [], [6, 5, 4, 3]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,079
| 0.25
|
|
[
"1",
"4",
"5",
"2"
] |
{'start_position': [[6, 4], [5, 2, 1], [3]], 'end_position': [[6, 4, 3, 2, 1], [], [5]], 'moves': [{'position': [[6, 4], [5, 2, 1], [3]], 'num_moves': 0}, {'position': [[6, 4, 3], [5, 2, 1], []], 'num_moves': 1}, {'position': [[6, 4, 3], [5, 2], [1]], 'num_moves': 2}, {'position': [[6, 4, 3, 2], [5], [1]], 'num_moves': 3}, {'position': [[6, 4, 3, 2, 1], [5], []], 'num_moves': 4}, {'position': [[6, 4, 3, 2, 1], [], [5]], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,079
| 0
|
|
[
"1",
"3",
"6",
"2"
] |
{'start_position': [[6, 1], [5], [4, 3, 2]], 'end_position': [[6, 3, 2, 1], [5], [4]], 'moves': [{'position': [[6, 1], [5], [4, 3, 2]], 'num_moves': 0}, {'position': [[6, 1], [5, 2], [4, 3]], 'num_moves': 1}, {'position': [[6], [5, 2, 1], [4, 3]], 'num_moves': 2}, {'position': [[6, 3], [5, 2, 1], [4]], 'num_moves': 3}, {'position': [[6, 3], [5, 2], [4, 1]], 'num_moves': 4}, {'position': [[6, 3, 2], [5], [4, 1]], 'num_moves': 5}, {'position': [[6, 3, 2, 1], [5], [4]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,079
| 0.25
|
|
[
"1",
"4",
"6",
"3"
] |
{'start_position': [[5, 4], [], [6, 3, 2, 1]], 'end_position': [[5, 2], [4, 1], [6, 3]], 'moves': [{'position': [[5, 4], [], [6, 3, 2, 1]], 'num_moves': 0}, {'position': [[5], [4], [6, 3, 2, 1]], 'num_moves': 1}, {'position': [[5], [4, 1], [6, 3, 2]], 'num_moves': 2}, {'position': [[5, 2], [4, 1], [6, 3]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,079
| 0.25
|
|
[
"2",
"1",
"3",
"5"
] |
{'start_position': [[], [], [5, 4, 3, 2, 1]], 'end_position': [[], [2, 1], [5, 4, 3]], 'moves': [{'position': [[], [], [5, 4, 3, 2, 1]], 'num_moves': 0}, {'position': [[1], [], [5, 4, 3, 2]], 'num_moves': 1}, {'position': [[1], [2], [5, 4, 3]], 'num_moves': 2}, {'position': [[], [2, 1], [5, 4, 3]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,419
| 0.75
|
|
[
"3",
"6",
"2",
"4"
] |
{'start_position': [[2, 1], [], [4, 3]], 'end_position': [[2], [3], [4, 1]], 'moves': [{'position': [[2, 1], [], [4, 3]], 'num_moves': 0}, {'position': [[2, 1], [3], [4]], 'num_moves': 1}, {'position': [[2], [3], [4, 1]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 4 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,691
| 0
|
|
[
"5",
"6",
"1",
"3"
] |
{'start_position': [[2], [5, 4, 3], [6, 1]], 'end_position': [[6], [5, 4, 3, 2, 1], []], 'moves': [{'position': [[2], [5, 4, 3], [6, 1]], 'num_moves': 0}, {'position': [[], [5, 4, 3, 2], [6, 1]], 'num_moves': 1}, {'position': [[], [5, 4, 3, 2, 1], [6]], 'num_moves': 2}, {'position': [[6], [5, 4, 3, 2, 1], []], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,079
| 0
|
|
[
"6",
"2",
"4",
"5"
] |
{'start_position': [[3, 2], [], [5, 4, 1]], 'end_position': [[3], [4, 2, 1], [5]], 'moves': [{'position': [[3, 2], [], [5, 4, 1]], 'num_moves': 0}, {'position': [[3, 2, 1], [], [5, 4]], 'num_moves': 1}, {'position': [[3, 2, 1], [4], [5]], 'num_moves': 2}, {'position': [[3, 2], [4], [5, 1]], 'num_moves': 3}, {'position': [[3], [4, 2], [5, 1]], 'num_moves': 4}, {'position': [[3], [4, 2, 1], [5]], 'num_moves': 5}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 3,419
| 0.25
|
|
[
"4",
"1",
"6",
"5"
] |
{'start_position': [[5], [4, 3, 2, 1], []], 'end_position': [[], [4, 3, 2, 1], [5]], 'moves': [{'position': [[5], [4, 3, 2, 1], []], 'num_moves': 0}, {'position': [[], [4, 3, 2, 1], [5]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,419
| 0.625
|
|
[
"1",
"6",
"5",
"2"
] |
{'start_position': [[3, 2], [], [5, 4, 1]], 'end_position': [[3], [2], [5, 4, 1]], 'moves': [{'position': [[3, 2], [], [5, 4, 1]], 'num_moves': 0}, {'position': [[3], [2], [5, 4, 1]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,419
| 0.5
|
|
[
"2",
"6",
"4",
"5"
] |
{'start_position': [[2], [3], [5, 4, 1]], 'end_position': [[], [1], [5, 4, 3, 2]], 'moves': [{'position': [[2], [3], [5, 4, 1]], 'num_moves': 0}, {'position': [[2, 1], [3], [5, 4]], 'num_moves': 1}, {'position': [[2, 1], [], [5, 4, 3]], 'num_moves': 2}, {'position': [[2], [1], [5, 4, 3]], 'num_moves': 3}, {'position': [[], [1], [5, 4, 3, 2]], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,419
| 0.125
|
|
[
"3",
"4",
"1",
"2"
] |
{'start_position': [[6, 4], [5, 2, 1], [3]], 'end_position': [[6, 4], [5], [3, 2, 1]], 'moves': [{'position': [[6, 4], [5, 2, 1], [3]], 'num_moves': 0}, {'position': [[6, 4, 1], [5, 2], [3]], 'num_moves': 1}, {'position': [[6, 4, 1], [5], [3, 2]], 'num_moves': 2}, {'position': [[6, 4], [5], [3, 2, 1]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,079
| 0.375
|
|
[
"6",
"2",
"5",
"3"
] |
{'start_position': [[3], [2, 1], [5, 4]], 'end_position': [[1], [], [5, 4, 3, 2]], 'moves': [{'position': [[3], [2, 1], [5, 4]], 'num_moves': 0}, {'position': [[], [2, 1], [5, 4, 3]], 'num_moves': 1}, {'position': [[1], [2], [5, 4, 3]], 'num_moves': 2}, {'position': [[1], [], [5, 4, 3, 2]], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,419
| 0.25
|
|
[
"3",
"5",
"6",
"1"
] |
{'start_position': [[5, 4, 3], [6, 2, 1], []], 'end_position': [[5], [6, 4, 1], [3, 2]], 'moves': [{'position': [[5, 4, 3], [6, 2, 1], []], 'num_moves': 0}, {'position': [[5, 4], [6, 2, 1], [3]], 'num_moves': 1}, {'position': [[5, 4, 1], [6, 2], [3]], 'num_moves': 2}, {'position': [[5, 4, 1], [6], [3, 2]], 'num_moves': 3}, {'position': [[5, 4], [6], [3, 2, 1]], 'num_moves': 4}, {'position': [[5], [6, 4], [3, 2, 1]], 'num_moves': 5}, {'position': [[5], [6, 4, 1], [3, 2]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,079
| 0.125
|
|
[
"4",
"2",
"6",
"5"
] |
{'start_position': [[4], [3, 2], [5, 1]], 'end_position': [[2, 1], [], [5, 4, 3]], 'moves': [{'position': [[4], [3, 2], [5, 1]], 'num_moves': 0}, {'position': [[4], [3, 2, 1], [5]], 'num_moves': 1}, {'position': [[], [3, 2, 1], [5, 4]], 'num_moves': 2}, {'position': [[], [3, 2], [5, 4, 1]], 'num_moves': 3}, {'position': [[2], [3], [5, 4, 1]], 'num_moves': 4}, {'position': [[2, 1], [3], [5, 4]], 'num_moves': 5}, {'position': [[2, 1], [], [5, 4, 3]], 'num_moves': 6}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
| 3,419
| 0
|
|
[
"3",
"5",
"6",
"2"
] |
{'start_position': [[6], [5, 4, 3], [2, 1]], 'end_position': [[6], [5, 4, 3, 2, 1], []], 'moves': [{'position': [[6], [5, 4, 3], [2, 1]], 'num_moves': 0}, {'position': [[6, 1], [5, 4, 3], [2]], 'num_moves': 1}, {'position': [[6, 1], [5, 4, 3, 2], []], 'num_moves': 2}, {'position': [[6], [5, 4, 3, 2, 1], []], 'num_moves': 3}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,079
| 0
|
|
[
"4",
"1",
"3",
"2"
] |
{'start_position': [[5], [6, 4], [3, 2, 1]], 'end_position': [[5, 4], [6, 2, 1], [3]], 'moves': [{'position': [[5], [6, 4], [3, 2, 1]], 'num_moves': 0}, {'position': [[5, 4], [6], [3, 2, 1]], 'num_moves': 1}, {'position': [[5, 4, 1], [6], [3, 2]], 'num_moves': 2}, {'position': [[5, 4, 1], [6, 2], [3]], 'num_moves': 3}, {'position': [[5, 4], [6, 2, 1], [3]], 'num_moves': 4}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,079
| 0
|
|
[
"1",
"2",
"3",
"4"
] |
{'start_position': [[4], [5, 2, 1], [3]], 'end_position': [[4, 1], [5], [3, 2]], 'moves': [{'position': [[4], [5, 2, 1], [3]], 'num_moves': 0}, {'position': [[4, 1], [5, 2], [3]], 'num_moves': 1}, {'position': [[4, 1], [5], [3, 2]], 'num_moves': 2}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 5 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,419
| 0.25
|
|
[
"1",
"5",
"2",
"4"
] |
{'start_position': [[3], [4], [6, 5, 2, 1]], 'end_position': [[], [4, 3], [6, 5, 2, 1]], 'moves': [{'position': [[3], [4], [6, 5, 2, 1]], 'num_moves': 0}, {'position': [[], [4, 3], [6, 5, 2, 1]], 'num_moves': 1}]}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are playing a Tower of Hanoi game with 3 rods and 6 disks of various diameters, which can slide onto any rod. You are given the starting and ending configuration of the game as shown in the top and the bottom of the image, respectively. The game has the following rules: i) Only one disk may be moved at a time; ii) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; and iii) No disk can be placed on top of a disk that is smaller than it. What is the minimum number of moves required to go from the starting to the ending configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,079
| 0.5
|
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