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': '4722\n5733\n0611\n0611\n8899', 'end_position': '4722\n0733\n5611\n0611\n8899', 'moves': ['4722\n5733\n0611\n0611\n8899', '4722\n0733\n5611\n0611\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"5",
"2",
"4",
"3"
] |
{'start_position': '3305\n6224\n6711\n0711\n8899', 'end_position': '3354\n6022\n6711\n0711\n8899', 'moves': ['3305\n6224\n6711\n0711\n8899', '3350\n6224\n6711\n0711\n8899', '3354\n6220\n6711\n0711\n8899', '3354\n6022\n6711\n0711\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"3",
"5",
"2",
"1"
] |
{'start_position': '7633\n7622\n1154\n1100\n8899', 'end_position': '0633\n0622\n7115\n7114\n8899', 'moves': ['7633\n7622\n1154\n1100\n8899', '7633\n7622\n1150\n1104\n8899', '7633\n7622\n1105\n1104\n8899', '7633\n7622\n0115\n0114\n8899', '0633\n7622\n7115\n0114\n8899', '0633\n0622\n7115\n7114\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"4",
"6",
"1",
"2"
] |
{'start_position': '0335\n6224\n6711\n0711\n8899', 'end_position': '6335\n6224\n7011\n7011\n8899', 'moves': ['0335\n6224\n6711\n0711\n8899', '6335\n6224\n0711\n0711\n8899', '6335\n6224\n7011\n7011\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"3",
"6",
"4",
"5"
] |
{'start_position': '2233\n1140\n1105\n6788\n6799', 'end_position': '2233\n6114\n6115\n0788\n0799', 'moves': ['2233\n1140\n1105\n6788\n6799', '2233\n1104\n1105\n6788\n6799', '2233\n0114\n0115\n6788\n6799', '2233\n0114\n6115\n6788\n0799', '2233\n6114\n6115\n0788\n0799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"6",
"4",
"3",
"1"
] |
{'start_position': '2233\n7611\n7611\n4500\n8899', 'end_position': '7220\n7633\n0611\n4511\n8899', 'moves': ['2233\n7611\n7611\n4500\n8899', '2233\n7600\n7611\n4511\n8899', '2200\n7633\n7611\n4511\n8899', '0220\n7633\n7611\n4511\n8899', '7220\n7633\n0611\n4511\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"4",
"2",
"5",
"6"
] |
{'start_position': '2233\n6110\n6114\n7880\n7995', 'end_position': '2233\n6114\n6115\n7088\n7099', 'moves': ['2233\n6110\n6114\n7880\n7995', '2233\n6110\n6114\n7885\n7990', '2233\n6110\n6114\n7885\n7099', '2233\n6114\n6110\n7885\n7099', '2233\n6114\n6115\n7880\n7099', '2233\n6114\n6115\n7088\n7099']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"6",
"1",
"2",
"3"
] |
{'start_position': '7022\n7633\n4611\n5011\n8899', 'end_position': '7022\n7633\n0611\n4511\n8899', 'moves': ['7022\n7633\n4611\n5011\n8899', '7022\n7633\n4611\n0511\n8899', '7022\n7633\n0611\n4511\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"1",
"2",
"4",
"5"
] |
{'start_position': '6033\n6022\n7115\n7114\n8899', 'end_position': '0633\n0622\n7115\n7114\n8899', 'moves': ['6033\n6022\n7115\n7114\n8899', '0633\n0622\n7115\n7114\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"4",
"5",
"1",
"2"
] |
{'start_position': '2233\n6114\n6110\n7885\n7099', 'end_position': '2233\n6114\n6115\n7880\n7099', 'moves': ['2233\n6114\n6110\n7885\n7099', '2233\n6114\n6115\n7880\n7099']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0
|
|
[
"5",
"2",
"1",
"3"
] |
{'start_position': '2233\n7611\n7611\n8845\n0099', 'end_position': '2233\n7611\n7611\n8840\n0995', 'moves': ['2233\n7611\n7611\n8845\n0099', '2233\n7611\n7611\n8845\n0990', '2233\n7611\n7611\n8840\n0995']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"4",
"1",
"3",
"2"
] |
{'start_position': '4722\n0733\n5611\n0611\n8899', 'end_position': '0722\n4733\n0611\n5611\n8899', 'moves': ['4722\n0733\n5611\n0611\n8899', '4722\n0733\n0611\n5611\n8899', '0722\n4733\n0611\n5611\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"2",
"1",
"6",
"3"
] |
{'start_position': '7022\n7633\n4611\n5011\n8899', 'end_position': '0722\n4733\n0611\n5611\n8899', 'moves': ['7022\n7633\n4611\n5011\n8899', '7022\n7033\n4611\n5611\n8899', '0722\n0733\n4611\n5611\n8899', '0722\n4733\n0611\n5611\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"4",
"1",
"2",
"6"
] |
{'start_position': '2233\n0114\n6115\n6788\n0799', 'end_position': '2233\n1100\n1145\n6788\n6799', 'moves': ['2233\n0114\n6115\n6788\n0799', '2233\n0114\n0115\n6788\n6799', '2233\n1104\n1105\n6788\n6799', '2233\n1140\n1105\n6788\n6799', '2233\n1100\n1145\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0
|
|
[
"1",
"5",
"4",
"3"
] |
{'start_position': '0054\n3322\n6711\n6711\n8899', 'end_position': '5422\n3300\n6711\n6711\n8899', 'moves': ['0054\n3322\n6711\n6711\n8899', '0504\n3322\n6711\n6711\n8899', '0540\n3322\n6711\n6711\n8899', '5040\n3322\n6711\n6711\n8899', '5400\n3322\n6711\n6711\n8899', '5422\n3300\n6711\n6711\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"3",
"6",
"5",
"1"
] |
{'start_position': '6033\n6220\n7115\n7114\n8899', 'end_position': '7633\n7622\n1105\n1104\n8899', 'moves': ['6033\n6220\n7115\n7114\n8899', '6033\n6022\n7115\n7114\n8899', '0633\n0622\n7115\n7114\n8899', '0633\n7622\n7115\n0114\n8899', '7633\n7622\n0115\n0114\n8899', '7633\n7622\n1105\n1104\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"1",
"3",
"2",
"4"
] |
{'start_position': '5422\n0733\n6711\n6011\n8899', 'end_position': '5400\n3322\n6711\n6711\n8899', 'moves': ['5422\n0733\n6711\n6011\n8899', '5422\n0033\n6711\n6711\n8899', '5422\n0330\n6711\n6711\n8899', '5422\n3300\n6711\n6711\n8899', '5400\n3322\n6711\n6711\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"3",
"1",
"2",
"6"
] |
{'start_position': '2233\n0114\n6115\n6788\n0799', 'end_position': '2233\n0114\n0115\n6788\n6799', 'moves': ['2233\n0114\n6115\n6788\n0799', '2233\n0114\n0115\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0
|
|
[
"6",
"1",
"5",
"2"
] |
{'start_position': '7220\n7633\n0611\n4511\n8899', 'end_position': '0722\n0733\n4611\n5611\n8899', 'moves': ['7220\n7633\n0611\n4511\n8899', '7022\n7633\n0611\n4511\n8899', '7022\n7633\n4611\n0511\n8899', '7022\n7633\n4611\n5011\n8899', '7022\n7033\n4611\n5611\n8899', '0722\n0733\n4611\n5611\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"1",
"5",
"6",
"2"
] |
{'start_position': '1122\n1133\n0405\n6788\n6799', 'end_position': '1122\n1133\n4050\n6788\n6799', 'moves': ['1122\n1133\n0405\n6788\n6799', '1122\n1133\n0450\n6788\n6799', '1122\n1133\n4050\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"2",
"3",
"1",
"4"
] |
{'start_position': '3354\n6220\n6711\n0711\n8899', 'end_position': '6335\n6224\n0711\n0711\n8899', 'moves': ['3354\n6220\n6711\n0711\n8899', '3350\n6224\n6711\n0711\n8899', '3305\n6224\n6711\n0711\n8899', '0335\n6224\n6711\n0711\n8899', '6335\n6224\n0711\n0711\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0
|
|
[
"4",
"5",
"2",
"1"
] |
{'start_position': '5422\n0033\n6711\n6711\n8899', 'end_position': '5422\n0733\n6711\n6011\n8899', 'moves': ['5422\n0033\n6711\n6711\n8899', '5422\n0733\n6711\n6011\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"1",
"5",
"2",
"3"
] |
{'start_position': '2233\n7611\n7611\n4500\n8899', 'end_position': '2233\n7611\n7611\n4050\n8899', 'moves': ['2233\n7611\n7611\n4500\n8899', '2233\n7611\n7611\n4050\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"3",
"6",
"2",
"4"
] |
{'start_position': '0335\n6224\n6711\n0711\n8899', 'end_position': '6335\n6224\n7110\n7110\n8899', 'moves': ['0335\n6224\n6711\n0711\n8899', '6335\n6224\n0711\n0711\n8899', '6335\n6224\n7011\n7011\n8899', '6335\n6224\n7110\n7110\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"6",
"5",
"2",
"1"
] |
{'start_position': '7633\n7622\n0115\n0114\n8899', 'end_position': '6033\n6225\n7110\n7114\n8899', 'moves': ['7633\n7622\n0115\n0114\n8899', '0633\n7622\n7115\n0114\n8899', '0633\n0622\n7115\n7114\n8899', '6033\n6022\n7115\n7114\n8899', '6033\n6220\n7115\n7114\n8899', '6033\n6225\n7110\n7114\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"5",
"6",
"1",
"4"
] |
{'start_position': '2233\n7611\n7611\n8804\n0995', 'end_position': '2233\n7611\n7611\n8840\n0995', 'moves': ['2233\n7611\n7611\n8804\n0995', '2233\n7611\n7611\n8840\n0995']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"4",
"3",
"5",
"6"
] |
{'start_position': '5400\n3322\n6711\n6711\n8899', 'end_position': '3354\n0022\n6711\n6711\n8899', 'moves': ['5400\n3322\n6711\n6711\n8899', '5040\n3322\n6711\n6711\n8899', '0540\n3322\n6711\n6711\n8899', '0504\n3322\n6711\n6711\n8899', '0054\n3322\n6711\n6711\n8899', '3354\n0022\n6711\n6711\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"6",
"1",
"4",
"2"
] |
{'start_position': '2200\n1133\n1145\n6788\n6799', 'end_position': '2233\n0114\n0115\n6788\n6799', 'moves': ['2200\n1133\n1145\n6788\n6799', '2233\n1100\n1145\n6788\n6799', '2233\n1140\n1105\n6788\n6799', '2233\n1104\n1105\n6788\n6799', '2233\n0114\n0115\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0
|
|
[
"4",
"5",
"6",
"2"
] |
{'start_position': '2233\n7611\n7611\n8845\n0099', 'end_position': '2233\n7611\n7611\n4500\n8899', 'moves': ['2233\n7611\n7611\n8845\n0099', '2233\n7611\n7611\n0045\n8899', '2233\n7611\n7611\n0405\n8899', '2233\n7611\n7611\n4005\n8899', '2233\n7611\n7611\n4050\n8899', '2233\n7611\n7611\n4500\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"4",
"2",
"3",
"6"
] |
{'start_position': '2233\n7611\n7611\n0405\n8899', 'end_position': '2233\n7611\n7611\n4500\n8899', 'moves': ['2233\n7611\n7611\n0405\n8899', '2233\n7611\n7611\n4005\n8899', '2233\n7611\n7611\n4050\n8899', '2233\n7611\n7611\n4500\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"3",
"1",
"4",
"2"
] |
{'start_position': '1122\n1133\n4500\n6788\n6799', 'end_position': '1122\n1133\n0045\n6788\n6799', 'moves': ['1122\n1133\n4500\n6788\n6799', '1122\n1133\n4050\n6788\n6799', '1122\n1133\n0450\n6788\n6799', '1122\n1133\n0405\n6788\n6799', '1122\n1133\n0045\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"4",
"5",
"6",
"3"
] |
{'start_position': '2233\n6110\n6114\n7880\n7995', 'end_position': '2233\n0611\n7611\n7884\n0995', 'moves': ['2233\n6110\n6114\n7880\n7995', '2233\n6110\n6110\n7884\n7995', '2233\n6011\n6011\n7884\n7995', '2233\n0611\n0611\n7884\n7995', '2233\n0611\n7611\n7884\n0995']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"2",
"3",
"1",
"5"
] |
{'start_position': '0220\n1133\n1145\n6788\n6799', 'end_position': '2200\n1133\n1145\n6788\n6799', 'moves': ['0220\n1133\n1145\n6788\n6799', '2200\n1133\n1145\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"6",
"1",
"5",
"4"
] |
{'start_position': '7633\n7622\n1150\n1104\n8899', 'end_position': '7633\n7622\n1105\n1104\n8899', 'moves': ['7633\n7622\n1150\n1104\n8899', '7633\n7622\n1105\n1104\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"5",
"3",
"1",
"4"
] |
{'start_position': '7633\n7622\n1154\n1199\n0880', 'end_position': '7633\n7622\n0115\n0114\n8899', 'moves': ['7633\n7622\n1154\n1199\n0880', '7633\n7622\n1154\n1199\n8800', '7633\n7622\n1154\n1100\n8899', '7633\n7622\n1150\n1104\n8899', '7633\n7622\n1105\n1104\n8899', '7633\n7622\n0115\n0114\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"5",
"4",
"1",
"3"
] |
{'start_position': '3354\n0022\n6711\n6711\n8899', 'end_position': '5400\n3322\n6711\n6711\n8899', 'moves': ['3354\n0022\n6711\n6711\n8899', '0054\n3322\n6711\n6711\n8899', '0504\n3322\n6711\n6711\n8899', '0540\n3322\n6711\n6711\n8899', '5040\n3322\n6711\n6711\n8899', '5400\n3322\n6711\n6711\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"1",
"3",
"4",
"6"
] |
{'start_position': '5400\n3322\n6711\n6711\n8899', 'end_position': '5422\n0033\n6711\n6711\n8899', 'moves': ['5400\n3322\n6711\n6711\n8899', '5422\n3300\n6711\n6711\n8899', '5422\n0330\n6711\n6711\n8899', '5422\n0033\n6711\n6711\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"6",
"4",
"1",
"5"
] |
{'start_position': '2233\n6114\n6115\n7880\n7099', 'end_position': '2233\n6114\n6115\n7088\n7099', 'moves': ['2233\n6114\n6115\n7880\n7099', '2233\n6114\n6115\n7088\n7099']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0
|
|
[
"4",
"1",
"6",
"2"
] |
{'start_position': '7633\n7622\n1154\n1199\n8800', 'end_position': '7633\n7622\n0115\n0114\n8899', 'moves': ['7633\n7622\n1154\n1199\n8800', '7633\n7622\n1154\n1100\n8899', '7633\n7622\n1150\n1104\n8899', '7633\n7622\n1105\n1104\n8899', '7633\n7622\n0115\n0114\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"4",
"3",
"6",
"1"
] |
{'start_position': '2233\n6114\n6115\n7088\n7099', 'end_position': '2233\n6110\n6114\n7885\n7099', 'moves': ['2233\n6114\n6115\n7088\n7099', '2233\n6114\n6115\n7880\n7099', '2233\n6114\n6110\n7885\n7099', '2233\n6110\n6114\n7885\n7099']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"4",
"3",
"2",
"1"
] |
{'start_position': '2233\n6110\n6114\n7880\n7995', 'end_position': '2233\n6114\n6110\n7885\n7099', 'moves': ['2233\n6110\n6114\n7880\n7995', '2233\n6110\n6114\n7885\n7990', '2233\n6110\n6114\n7885\n7099', '2233\n6114\n6110\n7885\n7099']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"4",
"3",
"1",
"6"
] |
{'start_position': '7633\n7622\n1150\n1104\n8899', 'end_position': '7633\n7622\n1154\n1199\n0088', 'moves': ['7633\n7622\n1150\n1104\n8899', '7633\n7622\n1154\n1100\n8899', '7633\n7622\n1154\n1199\n8800', '7633\n7622\n1154\n1199\n0880', '7633\n7622\n1154\n1199\n0088']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0
|
|
[
"2",
"1",
"3",
"4"
] |
{'start_position': '0633\n0622\n7115\n7114\n8899', 'end_position': '7633\n7622\n0115\n0114\n8899', 'moves': ['0633\n0622\n7115\n7114\n8899', '0633\n7622\n7115\n0114\n8899', '7633\n7622\n0115\n0114\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"5",
"6",
"2",
"3"
] |
{'start_position': '2233\n7611\n7611\n0045\n8899', 'end_position': '2233\n7611\n7611\n4005\n8899', 'moves': ['2233\n7611\n7611\n0045\n8899', '2233\n7611\n7611\n0405\n8899', '2233\n7611\n7611\n4005\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"4",
"3",
"5",
"1"
] |
{'start_position': '4722\n5733\n6011\n6011\n8899', 'end_position': '0722\n0733\n4611\n5611\n8899', 'moves': ['4722\n5733\n6011\n6011\n8899', '4722\n5733\n0611\n0611\n8899', '4722\n0733\n5611\n0611\n8899', '4722\n0733\n0611\n5611\n8899', '0722\n4733\n0611\n5611\n8899', '0722\n0733\n4611\n5611\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"5",
"2",
"4",
"6"
] |
{'start_position': '2200\n7633\n7611\n4511\n8899', 'end_position': '2233\n7611\n7611\n4500\n8899', 'moves': ['2200\n7633\n7611\n4511\n8899', '2233\n7600\n7611\n4511\n8899', '2233\n7611\n7611\n4500\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"2",
"6",
"3",
"1"
] |
{'start_position': '6335\n6224\n7110\n7110\n8899', 'end_position': '6335\n6224\n7011\n7011\n8899', 'moves': ['6335\n6224\n7110\n7110\n8899', '6335\n6224\n7011\n7011\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0
|
|
[
"2",
"5",
"3",
"4"
] |
{'start_position': '7633\n7622\n1154\n1199\n0088', 'end_position': '7633\n7622\n1154\n1199\n8800', 'moves': ['7633\n7622\n1154\n1199\n0088', '7633\n7622\n1154\n1199\n0880', '7633\n7622\n1154\n1199\n8800']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0
|
|
[
"5",
"4",
"3",
"2"
] |
{'start_position': '2233\n0114\n0115\n6788\n6799', 'end_position': '2233\n6114\n6115\n7088\n7099', 'moves': ['2233\n0114\n0115\n6788\n6799', '2233\n0114\n6115\n6788\n0799', '2233\n6114\n6115\n0788\n0799', '2233\n6114\n6115\n7088\n7099']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"3",
"1",
"5",
"2"
] |
{'start_position': '6033\n6225\n7114\n7110\n8899', 'end_position': '6330\n6225\n7114\n7110\n8899', 'moves': ['6033\n6225\n7114\n7110\n8899', '6330\n6225\n7114\n7110\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0
|
|
[
"6",
"1",
"4",
"5"
] |
{'start_position': '6335\n6224\n0711\n0711\n8899', 'end_position': '6335\n6224\n7011\n7011\n8899', 'moves': ['6335\n6224\n0711\n0711\n8899', '6335\n6224\n7011\n7011\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0
|
|
[
"3",
"2",
"1",
"6"
] |
{'start_position': '2233\n0611\n0611\n7884\n7995', 'end_position': '2233\n7611\n7611\n0884\n0995', 'moves': ['2233\n0611\n0611\n7884\n7995', '2233\n0611\n7611\n7884\n0995', '2233\n7611\n7611\n0884\n0995']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"6",
"1",
"5",
"4"
] |
{'start_position': '1122\n1133\n0405\n6788\n6799', 'end_position': '1122\n1133\n0045\n6788\n6799', 'moves': ['1122\n1133\n0405\n6788\n6799', '1122\n1133\n0045\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"4",
"3",
"2",
"5"
] |
{'start_position': '0540\n3322\n6711\n6711\n8899', 'end_position': '3354\n0022\n6711\n6711\n8899', 'moves': ['0540\n3322\n6711\n6711\n8899', '0504\n3322\n6711\n6711\n8899', '0054\n3322\n6711\n6711\n8899', '3354\n0022\n6711\n6711\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"2",
"4",
"6",
"1"
] |
{'start_position': '0022\n1133\n1145\n6788\n6799', 'end_position': '0220\n1133\n1145\n6788\n6799', 'moves': ['0022\n1133\n1145\n6788\n6799', '0220\n1133\n1145\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"2",
"1",
"4",
"5"
] |
{'start_position': '4722\n0733\n0611\n5611\n8899', 'end_position': '4022\n5733\n6711\n6011\n8899', 'moves': ['4722\n0733\n0611\n5611\n8899', '4722\n0733\n5611\n0611\n8899', '4722\n5733\n0611\n0611\n8899', '4722\n5733\n6011\n6011\n8899', '4022\n5733\n6711\n6011\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"2",
"4",
"1",
"6"
] |
{'start_position': '2233\n7611\n7611\n4500\n8899', 'end_position': '2233\n7611\n7611\n0045\n8899', 'moves': ['2233\n7611\n7611\n4500\n8899', '2233\n7611\n7611\n4050\n8899', '2233\n7611\n7611\n4005\n8899', '2233\n7611\n7611\n0405\n8899', '2233\n7611\n7611\n0045\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0.375
|
|
[
"1",
"6",
"3",
"2"
] |
{'start_position': '2233\n7611\n7611\n4005\n8899', 'end_position': '2233\n7611\n7611\n4050\n8899', 'moves': ['2233\n7611\n7611\n4005\n8899', '2233\n7611\n7611\n4050\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"4",
"5",
"2",
"6"
] |
{'start_position': '0022\n1133\n1145\n6788\n6799', 'end_position': '2200\n1133\n1145\n6788\n6799', 'moves': ['0022\n1133\n1145\n6788\n6799', '0220\n1133\n1145\n6788\n6799', '2200\n1133\n1145\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"1",
"2",
"3",
"6"
] |
{'start_position': '2233\n0611\n7611\n7884\n0995', 'end_position': '2233\n6011\n6011\n7884\n7995', 'moves': ['2233\n0611\n7611\n7884\n0995', '2233\n0611\n0611\n7884\n7995', '2233\n6011\n6011\n7884\n7995']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.5
|
|
[
"2",
"5",
"4",
"1"
] |
{'start_position': '5422\n0330\n6711\n6711\n8899', 'end_position': '4722\n5733\n6011\n6011\n8899', 'moves': ['5422\n0330\n6711\n6711\n8899', '5422\n0033\n6711\n6711\n8899', '5422\n0733\n6711\n6011\n8899', '0422\n5733\n6711\n6011\n8899', '4022\n5733\n6711\n6011\n8899', '4722\n5733\n6011\n6011\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"1",
"3",
"4",
"6"
] |
{'start_position': '0504\n3322\n6711\n6711\n8899', 'end_position': '5400\n3322\n6711\n6711\n8899', 'moves': ['0504\n3322\n6711\n6711\n8899', '0540\n3322\n6711\n6711\n8899', '5040\n3322\n6711\n6711\n8899', '5400\n3322\n6711\n6711\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"3",
"4",
"1",
"6"
] |
{'start_position': '1122\n1133\n0045\n6788\n6799', 'end_position': '1122\n1133\n4050\n6788\n6799', 'moves': ['1122\n1133\n0045\n6788\n6799', '1122\n1133\n0405\n6788\n6799', '1122\n1133\n0450\n6788\n6799', '1122\n1133\n4050\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"1",
"6",
"5",
"4"
] |
{'start_position': '2233\n6110\n6110\n7884\n7995', 'end_position': '2233\n6011\n6011\n7884\n7995', 'moves': ['2233\n6110\n6110\n7884\n7995', '2233\n6011\n6011\n7884\n7995']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"2",
"6",
"1",
"4"
] |
{'start_position': '2233\n7611\n7611\n8845\n0990', 'end_position': '2233\n7611\n7611\n0045\n8899', 'moves': ['2233\n7611\n7611\n8845\n0990', '2233\n7611\n7611\n8845\n0099', '2233\n7611\n7611\n0045\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"6",
"4",
"3",
"5"
] |
{'start_position': '2233\n6114\n6115\n7880\n7099', 'end_position': '2233\n1104\n1105\n6788\n6799', 'moves': ['2233\n6114\n6115\n7880\n7099', '2233\n6114\n6115\n7088\n7099', '2233\n6114\n6115\n0788\n0799', '2233\n0114\n6115\n6788\n0799', '2233\n0114\n0115\n6788\n6799', '2233\n1104\n1105\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"4",
"6",
"3",
"2"
] |
{'start_position': '6033\n6225\n7114\n7110\n8899', 'end_position': '6033\n6220\n7115\n7114\n8899', 'moves': ['6033\n6225\n7114\n7110\n8899', '6033\n6225\n7110\n7114\n8899', '6033\n6220\n7115\n7114\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.375
|
|
[
"5",
"1",
"3",
"6"
] |
{'start_position': '3354\n6022\n6711\n0711\n8899', 'end_position': '3354\n6220\n6711\n0711\n8899', 'moves': ['3354\n6022\n6711\n0711\n8899', '3354\n6220\n6711\n0711\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"4",
"6",
"1",
"3"
] |
{'start_position': '6033\n6220\n7115\n7114\n8899', 'end_position': '0633\n7622\n7115\n0114\n8899', 'moves': ['6033\n6220\n7115\n7114\n8899', '6033\n6022\n7115\n7114\n8899', '0633\n0622\n7115\n7114\n8899', '0633\n7622\n7115\n0114\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"1",
"3",
"4",
"5"
] |
{'start_position': '4722\n0733\n0611\n5611\n8899', 'end_position': '4722\n5733\n6011\n6011\n8899', 'moves': ['4722\n0733\n0611\n5611\n8899', '4722\n0733\n5611\n0611\n8899', '4722\n5733\n0611\n0611\n8899', '4722\n5733\n6011\n6011\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"2",
"6",
"3",
"5"
] |
{'start_position': '3354\n6022\n6711\n0711\n8899', 'end_position': '3350\n6224\n6711\n0711\n8899', 'moves': ['3354\n6022\n6711\n0711\n8899', '3354\n6220\n6711\n0711\n8899', '3350\n6224\n6711\n0711\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"1",
"4",
"5",
"2"
] |
{'start_position': '2233\n6110\n6114\n7885\n7990', 'end_position': '2233\n0611\n7611\n7884\n0995', 'moves': ['2233\n6110\n6114\n7885\n7990', '2233\n6110\n6114\n7880\n7995', '2233\n6110\n6110\n7884\n7995', '2233\n6011\n6011\n7884\n7995', '2233\n0611\n0611\n7884\n7995', '2233\n0611\n7611\n7884\n0995']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"2",
"4",
"6",
"1"
] |
{'start_position': '7022\n7633\n0611\n4511\n8899', 'end_position': '0220\n7633\n7611\n4511\n8899', 'moves': ['7022\n7633\n0611\n4511\n8899', '7220\n7633\n0611\n4511\n8899', '0220\n7633\n7611\n4511\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.375
|
|
[
"3",
"4",
"6",
"5"
] |
{'start_position': '5422\n0033\n6711\n6711\n8899', 'end_position': '4722\n5733\n6011\n6011\n8899', 'moves': ['5422\n0033\n6711\n6711\n8899', '5422\n0733\n6711\n6011\n8899', '0422\n5733\n6711\n6011\n8899', '4022\n5733\n6711\n6011\n8899', '4722\n5733\n6011\n6011\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0
|
|
[
"2",
"6",
"5",
"4"
] |
{'start_position': '5040\n3322\n6711\n6711\n8899', 'end_position': '3354\n6022\n6711\n0711\n8899', 'moves': ['5040\n3322\n6711\n6711\n8899', '0540\n3322\n6711\n6711\n8899', '0504\n3322\n6711\n6711\n8899', '0054\n3322\n6711\n6711\n8899', '3354\n0022\n6711\n6711\n8899', '3354\n6022\n6711\n0711\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"6",
"1",
"3",
"5"
] |
{'start_position': '7633\n7622\n1154\n1100\n8899', 'end_position': '7633\n7622\n1150\n1104\n8899', 'moves': ['7633\n7622\n1154\n1100\n8899', '7633\n7622\n1150\n1104\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"3",
"1",
"2",
"6"
] |
{'start_position': '7022\n7633\n4611\n0511\n8899', 'end_position': '7220\n7633\n0611\n4511\n8899', 'moves': ['7022\n7633\n4611\n0511\n8899', '7022\n7633\n0611\n4511\n8899', '7220\n7633\n0611\n4511\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0
|
|
[
"3",
"1",
"4",
"5"
] |
{'start_position': '2233\n6114\n6110\n7885\n7099', 'end_position': '2233\n6110\n6110\n7884\n7995', 'moves': ['2233\n6114\n6110\n7885\n7099', '2233\n6110\n6114\n7885\n7099', '2233\n6110\n6114\n7885\n7990', '2233\n6110\n6114\n7880\n7995', '2233\n6110\n6110\n7884\n7995']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"6",
"5",
"2",
"1"
] |
{'start_position': '2233\n6110\n6114\n7885\n7990', 'end_position': '2233\n6114\n6110\n7885\n7099', 'moves': ['2233\n6110\n6114\n7885\n7990', '2233\n6110\n6114\n7885\n7099', '2233\n6114\n6110\n7885\n7099']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"5",
"2",
"4",
"3"
] |
{'start_position': '2233\n0611\n0611\n7884\n7995', 'end_position': '2233\n6110\n6114\n7880\n7995', 'moves': ['2233\n0611\n0611\n7884\n7995', '2233\n6011\n6011\n7884\n7995', '2233\n6110\n6110\n7884\n7995', '2233\n6110\n6114\n7880\n7995']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"2",
"1",
"5",
"4"
] |
{'start_position': '0633\n0622\n7115\n7114\n8899', 'end_position': '6033\n6225\n7114\n7110\n8899', 'moves': ['0633\n0622\n7115\n7114\n8899', '6033\n6022\n7115\n7114\n8899', '6033\n6220\n7115\n7114\n8899', '6033\n6225\n7110\n7114\n8899', '6033\n6225\n7114\n7110\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"1",
"4",
"5",
"3"
] |
{'start_position': '2233\n7611\n7611\n8804\n0995', 'end_position': '2233\n0611\n0611\n7884\n7995', 'moves': ['2233\n7611\n7611\n8804\n0995', '2233\n7611\n7611\n0884\n0995', '2233\n0611\n7611\n7884\n0995', '2233\n0611\n0611\n7884\n7995']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"1",
"5",
"2",
"3"
] |
{'start_position': '5422\n0733\n6711\n6011\n8899', 'end_position': '4022\n5733\n6711\n6011\n8899', 'moves': ['5422\n0733\n6711\n6011\n8899', '0422\n5733\n6711\n6011\n8899', '4022\n5733\n6711\n6011\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.5
|
|
[
"1",
"4",
"3",
"2"
] |
{'start_position': '6033\n6220\n7115\n7114\n8899', 'end_position': '6330\n6225\n7114\n7110\n8899', 'moves': ['6033\n6220\n7115\n7114\n8899', '6033\n6225\n7110\n7114\n8899', '6033\n6225\n7114\n7110\n8899', '6330\n6225\n7114\n7110\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"1",
"4",
"6",
"3"
] |
{'start_position': '2200\n1133\n1145\n6788\n6799', 'end_position': '2233\n1104\n1105\n6788\n6799', 'moves': ['2200\n1133\n1145\n6788\n6799', '2233\n1100\n1145\n6788\n6799', '2233\n1140\n1105\n6788\n6799', '2233\n1104\n1105\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"2",
"1",
"5",
"4"
] |
{'start_position': '2233\n6114\n6115\n0788\n0799', 'end_position': '2233\n6110\n6114\n7885\n7990', 'moves': ['2233\n6114\n6115\n0788\n0799', '2233\n6114\n6115\n7088\n7099', '2233\n6114\n6115\n7880\n7099', '2233\n6114\n6110\n7885\n7099', '2233\n6110\n6114\n7885\n7099', '2233\n6110\n6114\n7885\n7990']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"2",
"6",
"4",
"3"
] |
{'start_position': '2200\n1133\n1145\n6788\n6799', 'end_position': '1122\n1133\n0405\n6788\n6799', 'moves': ['2200\n1133\n1145\n6788\n6799', '0220\n1133\n1145\n6788\n6799', '0022\n1133\n1145\n6788\n6799', '1122\n1133\n0045\n6788\n6799', '1122\n1133\n0405\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"4",
"6",
"1",
"5"
] |
{'start_position': '0722\n4733\n0611\n5611\n8899', 'end_position': '4022\n5733\n6711\n6011\n8899', 'moves': ['0722\n4733\n0611\n5611\n8899', '4722\n0733\n0611\n5611\n8899', '4722\n0733\n5611\n0611\n8899', '4722\n5733\n0611\n0611\n8899', '4722\n5733\n6011\n6011\n8899', '4022\n5733\n6711\n6011\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"6",
"3",
"5",
"1"
] |
{'start_position': '2200\n1133\n1145\n6788\n6799', 'end_position': '2233\n1100\n1145\n6788\n6799', 'moves': ['2200\n1133\n1145\n6788\n6799', '2233\n1100\n1145\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.5
|
|
[
"4",
"1",
"6",
"5"
] |
{'start_position': '2233\n7611\n7611\n0045\n8899', 'end_position': '2233\n7611\n7611\n8845\n0099', 'moves': ['2233\n7611\n7611\n0045\n8899', '2233\n7611\n7611\n8845\n0099']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"5",
"6",
"4",
"1"
] |
{'start_position': '6033\n6022\n7115\n7114\n8899', 'end_position': '6335\n6220\n7114\n7110\n8899', 'moves': ['6033\n6022\n7115\n7114\n8899', '6033\n6220\n7115\n7114\n8899', '6033\n6225\n7110\n7114\n8899', '6033\n6225\n7114\n7110\n8899', '6330\n6225\n7114\n7110\n8899', '6335\n6220\n7114\n7110\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"2",
"6",
"3",
"5"
] |
{'start_position': '2233\n7611\n7611\n0405\n8899', 'end_position': '2233\n7611\n7611\n8845\n0990', 'moves': ['2233\n7611\n7611\n0405\n8899', '2233\n7611\n7611\n0045\n8899', '2233\n7611\n7611\n8845\n0099', '2233\n7611\n7611\n8845\n0990']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"3",
"4",
"1",
"2"
] |
{'start_position': '7633\n7622\n1154\n1199\n0088', 'end_position': '7633\n7622\n1154\n1100\n8899', 'moves': ['7633\n7622\n1154\n1199\n0088', '7633\n7622\n1154\n1199\n0880', '7633\n7622\n1154\n1199\n8800', '7633\n7622\n1154\n1100\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
|
[
"6",
"2",
"4",
"5"
] |
{'start_position': '6330\n6225\n7114\n7110\n8899', 'end_position': '0633\n0622\n7115\n7114\n8899', 'moves': ['6330\n6225\n7114\n7110\n8899', '6033\n6225\n7114\n7110\n8899', '6033\n6225\n7110\n7114\n8899', '6033\n6220\n7115\n7114\n8899', '6033\n6022\n7115\n7114\n8899', '0633\n0622\n7115\n7114\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"4",
"6",
"2",
"1"
] |
{'start_position': '7022\n7033\n4611\n5611\n8899', 'end_position': '7022\n7633\n4611\n0511\n8899', 'moves': ['7022\n7033\n4611\n5611\n8899', '7022\n7633\n4611\n5011\n8899', '7022\n7633\n4611\n0511\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.25
|
|
[
"5",
"3",
"2",
"6"
] |
{'start_position': '2200\n1133\n1145\n6788\n6799', 'end_position': '0022\n1133\n1145\n6788\n6799', 'moves': ['2200\n1133\n1145\n6788\n6799', '0220\n1133\n1145\n6788\n6799', '0022\n1133\n1145\n6788\n6799']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"5",
"4",
"6",
"2"
] |
{'start_position': '0722\n0733\n4611\n5611\n8899', 'end_position': '7220\n7633\n0611\n4511\n8899', 'moves': ['0722\n0733\n4611\n5611\n8899', '7022\n7033\n4611\n5611\n8899', '7022\n7633\n4611\n5011\n8899', '7022\n7633\n4611\n0511\n8899', '7022\n7633\n0611\n4511\n8899', '7220\n7633\n0611\n4511\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
| 5,012
| 0
|
|
[
"4",
"1",
"3",
"2"
] |
{'start_position': '3305\n6224\n6711\n0711\n8899', 'end_position': '6335\n6224\n7110\n7110\n8899', 'moves': ['3305\n6224\n6711\n0711\n8899', '0335\n6224\n6711\n0711\n8899', '6335\n6224\n0711\n0711\n8899', '6335\n6224\n7011\n7011\n8899', '6335\n6224\n7110\n7110\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"1",
"2",
"3",
"4"
] |
{'start_position': '0722\n4733\n0611\n5611\n8899', 'end_position': '4722\n0733\n5611\n0611\n8899', 'moves': ['0722\n4733\n0611\n5611\n8899', '4722\n0733\n0611\n5611\n8899', '4722\n0733\n5611\n0611\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 5,012
| 0.125
|
|
[
"3",
"5",
"1",
"4"
] |
{'start_position': '0633\n0622\n7115\n7114\n8899', 'end_position': '7633\n7622\n1105\n1104\n8899', 'moves': ['0633\n0622\n7115\n7114\n8899', '0633\n7622\n7115\n0114\n8899', '7633\n7622\n0115\n0114\n8899', '7633\n7622\n1105\n1104\n8899']}
|
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>Consider a sliding block puzzle of grid size 5 * 4 units. It has 9 wooden blocks of varying sizes: one 2 * 2, four 1 * 2, two 2 * 1, and two 1 * 1. The gird also has two empty 1 * 1 spaces. The blocks cannot be removed from the grid, and may only be slid horizontally and vertically within its boundary. A move is defined as selecting a block that is slideable, and moving it by 1 unit either horizontally or vertically, whichever is possible. The image shows the starting and ending configurations of the puzzle grid. The wooden blocks are shown in various shades of brown and the empty spaces are shown in white. What is the minimum number of moves required to reach the ending configuration from the starting configuration?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 5,012
| 0
|
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