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"
] |
{'num_jugs': 3, 'capacities': [6, 5, 1], 'total_water': 7, 'start': [4, 2, 1], 'end': [4, 3, 0], 'steps': [[4, 2, 1], [4, 3, 0]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 6, 5, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 4, 3, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,034
| 1
|
|
[
"5",
"2",
"3",
"4"
] |
{'num_jugs': 3, 'capacities': [11, 5, 4], 'total_water': 13, 'start': [11, 0, 2], 'end': [11, 1, 1], 'steps': [[11, 0, 2], [6, 5, 2], [8, 5, 0], [8, 1, 4], [11, 1, 1]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 11, 5, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 11, 1, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,036
| 0.375
|
|
[
"4",
"2",
"3",
"1"
] |
{'num_jugs': 3, 'capacities': [9, 8, 2], 'total_water': 13, 'start': [8, 4, 1], 'end': [5, 8, 0], 'steps': [[8, 4, 1], [4, 8, 1], [5, 8, 0]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 9, 8, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 5, 8, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,034
| 0.5
|
|
[
"4",
"6",
"1",
"2"
] |
{'num_jugs': 3, 'capacities': [9, 8, 2], 'total_water': 13, 'start': [3, 8, 2], 'end': [9, 4, 0], 'steps': [[3, 8, 2], [9, 2, 2], [9, 4, 0]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 9, 8, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 4, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,034
| 1
|
|
[
"4",
"6",
"3",
"5"
] |
{'num_jugs': 3, 'capacities': [10, 9, 4], 'total_water': 10, 'start': [6, 1, 3], 'end': [1, 5, 4], 'steps': [[6, 1, 3], [5, 1, 4], [5, 5, 0], [1, 5, 4]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 10, 9, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 1, 5, 4 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,035
| 0.25
|
|
[
"6",
"3",
"4",
"1"
] |
{'num_jugs': 3, 'capacities': [6, 5, 1], 'total_water': 7, 'start': [5, 2, 0], 'end': [3, 3, 1], 'steps': [[5, 2, 0], [4, 2, 1], [4, 3, 0], [3, 3, 1]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 6, 5, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 3, 3, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,034
| 0.125
|
|
[
"5",
"3",
"1",
"6"
] |
{'num_jugs': 3, 'capacities': [9, 8, 2], 'total_water': 13, 'start': [6, 6, 1], 'end': [4, 8, 1], 'steps': [[6, 6, 1], [4, 8, 1]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 9, 8, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 4, 8, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,034
| 1
|
|
[
"6",
"1",
"2",
"3"
] |
{'num_jugs': 3, 'capacities': [6, 5, 1], 'total_water': 7, 'start': [2, 5, 0], 'end': [6, 0, 1], 'steps': [[2, 5, 0], [1, 5, 1], [6, 0, 1]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 6, 5, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 6, 0, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,034
| 0.125
|
|
[
"1",
"2",
"4",
"5"
] |
{'num_jugs': 3, 'capacities': [4, 3, 2], 'total_water': 6, 'start': [4, 2, 0], 'end': [3, 3, 0], 'steps': [[4, 2, 0], [3, 3, 0]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 4, 3, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 3, 3, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,034
| 0.875
|
|
[
"4",
"5",
"1",
"2"
] |
{'num_jugs': 3, 'capacities': [9, 8, 2], 'total_water': 13, 'start': [7, 4, 2], 'end': [7, 6, 0], 'steps': [[7, 4, 2], [7, 6, 0]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 9, 8, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 7, 6, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,034
| 0.875
|
|
[
"5",
"4",
"1",
"2"
] |
{'num_jugs': 3, 'capacities': [10, 9, 4], 'total_water': 10, 'start': [2, 6, 2], 'end': [5, 5, 0], 'steps': [[2, 6, 2], [4, 6, 0], [1, 9, 0], [1, 5, 4], [5, 5, 0]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 10, 9, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 5, 5, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,035
| 0.25
|
|
[
"4",
"1",
"3",
"2"
] |
{'num_jugs': 3, 'capacities': [11, 5, 4], 'total_water': 13, 'start': [11, 2, 0], 'end': [6, 5, 2], 'steps': [[11, 2, 0], [11, 0, 2], [6, 5, 2]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 11, 5, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 6, 5, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,035
| 0.875
|
|
[
"3",
"1",
"6",
"2"
] |
{'num_jugs': 3, 'capacities': [11, 5, 4], 'total_water': 13, 'start': [6, 4, 3], 'end': [10, 3, 0], 'steps': [[6, 4, 3], [10, 0, 3], [10, 3, 0]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 11, 5, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 10, 3, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,036
| 1
|
|
[
"2",
"1",
"3",
"6"
] |
{'num_jugs': 3, 'capacities': [10, 9, 4], 'total_water': 10, 'start': [7, 0, 3], 'end': [0, 6, 4], 'steps': [[7, 0, 3], [0, 7, 3], [0, 6, 4]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 10, 9, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 0, 6, 4 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,035
| 1
|
|
[
"1",
"2",
"5",
"4"
] |
{'num_jugs': 3, 'capacities': [10, 9, 4], 'total_water': 10, 'start': [4, 4, 2], 'end': [1, 9, 0], 'steps': [[4, 4, 2], [6, 4, 0], [1, 9, 0]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 10, 9, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 1, 9, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,035
| 0.75
|
|
[
"4",
"6",
"1",
"2"
] |
{'num_jugs': 3, 'capacities': [10, 9, 4], 'total_water': 10, 'start': [6, 3, 1], 'end': [3, 3, 4], 'steps': [[6, 3, 1], [3, 3, 4]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 10, 9, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 3, 3, 4 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,035
| 1
|
|
[
"1",
"4",
"3",
"2"
] |
{'num_jugs': 3, 'capacities': [11, 5, 4], 'total_water': 13, 'start': [8, 5, 0], 'end': [11, 1, 1], 'steps': [[8, 5, 0], [8, 1, 4], [11, 1, 1]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 11, 5, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 11, 1, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,036
| 1
|
|
[
"2",
"4",
"1",
"6"
] |
{'num_jugs': 3, 'capacities': [10, 9, 4], 'total_water': 10, 'start': [6, 4, 0], 'end': [8, 0, 2], 'steps': [[6, 4, 0], [2, 4, 4], [2, 8, 0], [0, 8, 2], [8, 0, 2]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 10, 9, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 8, 0, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,035
| 0.5
|
|
[
"6",
"2",
"1",
"3"
] |
{'num_jugs': 3, 'capacities': [4, 3, 2], 'total_water': 6, 'start': [3, 1, 2], 'end': [4, 1, 1], 'steps': [[3, 1, 2], [4, 1, 1]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 4, 3, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 4, 1, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,034
| 0.875
|
|
[
"1",
"5",
"6",
"2"
] |
{'num_jugs': 3, 'capacities': [4, 3, 2], 'total_water': 6, 'start': [4, 1, 1], 'end': [1, 3, 2], 'steps': [[4, 1, 1], [2, 3, 1], [1, 3, 2]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 4, 3, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 1, 3, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,034
| 0.75
|
|
[
"3",
"4",
"2",
"1"
] |
{'num_jugs': 3, 'capacities': [4, 3, 2], 'total_water': 6, 'start': [4, 1, 1], 'end': [3, 1, 2], 'steps': [[4, 1, 1], [3, 1, 2]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 4, 3, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 3, 1, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,034
| 0.875
|
|
[
"4",
"5",
"1",
"3"
] |
{'num_jugs': 3, 'capacities': [10, 9, 4], 'total_water': 10, 'start': [7, 3, 0], 'end': [9, 0, 1], 'steps': [[7, 3, 0], [1, 9, 0], [0, 9, 1], [9, 0, 1]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 10, 9, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 0, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,035
| 0.25
|
|
[
"4",
"5",
"1",
"2"
] |
{'num_jugs': 3, 'capacities': [6, 5, 1], 'total_water': 7, 'start': [2, 5, 0], 'end': [4, 2, 1], 'steps': [[2, 5, 0], [6, 1, 0], [5, 1, 1], [5, 2, 0], [4, 2, 1]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 6, 5, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 4, 2, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,034
| 0.125
|
|
[
"3",
"6",
"2",
"4"
] |
{'num_jugs': 3, 'capacities': [9, 8, 2], 'total_water': 13, 'start': [9, 3, 1], 'end': [7, 6, 0], 'steps': [[9, 3, 1], [9, 4, 0], [7, 4, 2], [7, 6, 0]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 9, 8, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 7, 6, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,034
| 0.25
|
|
[
"6",
"2",
"3",
"1"
] |
{'num_jugs': 3, 'capacities': [10, 9, 4], 'total_water': 10, 'start': [0, 6, 4], 'end': [9, 0, 1], 'steps': [[0, 6, 4], [0, 9, 1], [9, 0, 1]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 10, 9, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 0, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,035
| 0.25
|
|
[
"5",
"6",
"1",
"4"
] |
{'num_jugs': 3, 'capacities': [9, 8, 2], 'total_water': 13, 'start': [9, 3, 1], 'end': [9, 2, 2], 'steps': [[9, 3, 1], [9, 2, 2]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 9, 8, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 2, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,034
| 1
|
|
[
"5",
"4",
"1",
"6"
] |
{'num_jugs': 3, 'capacities': [9, 8, 2], 'total_water': 13, 'start': [8, 3, 2], 'end': [9, 2, 2], 'steps': [[8, 3, 2], [9, 2, 2]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 9, 8, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 2, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,034
| 0.875
|
|
[
"6",
"2",
"1",
"3"
] |
{'num_jugs': 3, 'capacities': [4, 3, 2], 'total_water': 6, 'start': [3, 1, 2], 'end': [4, 0, 2], 'steps': [[3, 1, 2], [4, 0, 2]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 4, 3, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 4, 0, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,034
| 0.625
|
|
[
"5",
"1",
"6",
"3"
] |
{'num_jugs': 3, 'capacities': [6, 5, 1], 'total_water': 7, 'start': [2, 5, 0], 'end': [2, 4, 1], 'steps': [[2, 5, 0], [2, 4, 1]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 6, 5, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 2, 4, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,034
| 0.125
|
|
[
"4",
"2",
"3",
"6"
] |
{'num_jugs': 3, 'capacities': [11, 5, 4], 'total_water': 13, 'start': [10, 0, 3], 'end': [8, 1, 4], 'steps': [[10, 0, 3], [5, 5, 3], [8, 5, 0], [8, 1, 4]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 11, 5, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 8, 1, 4 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,035
| 0.875
|
|
[
"4",
"2",
"1",
"3"
] |
{'num_jugs': 3, 'capacities': [9, 8, 2], 'total_water': 13, 'start': [8, 4, 1], 'end': [9, 3, 1], 'steps': [[8, 4, 1], [9, 3, 1]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 9, 8, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 3, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,034
| 1
|
|
[
"4",
"5",
"6",
"3"
] |
{'num_jugs': 3, 'capacities': [11, 5, 4], 'total_water': 13, 'start': [11, 0, 2], 'end': [5, 5, 3], 'steps': [[11, 0, 2], [9, 0, 4], [9, 4, 0], [5, 4, 4], [5, 5, 3]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 11, 5, 4 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 5, 5, 3 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,035
| 0.25
|
|
[
"2",
"3",
"1",
"5"
] |
{'num_jugs': 3, 'capacities': [9, 8, 2], 'total_water': 13, 'start': [8, 5, 0], 'end': [5, 8, 0], 'steps': [[8, 5, 0], [5, 8, 0]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 9, 8, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 5, 8, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,034
| 0.5
|
|
[
"6",
"3",
"5",
"4"
] |
{'num_jugs': 3, 'capacities': [9, 8, 2], 'total_water': 13, 'start': [8, 4, 1], 'end': [5, 6, 2], 'steps': [[8, 4, 1], [4, 8, 1], [5, 8, 0], [5, 6, 2]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 3 jugs of capacities 9, 8, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 5, 6, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,034
| 0.75
|
|
[
"1",
"4",
"2",
"5"
] |
{'num_jugs': 4, 'capacities': [10, 6, 5, 2], 'total_water': 20, 'start': [9, 5, 5, 1], 'end': [8, 6, 5, 1], 'steps': [[9, 5, 5, 1], [8, 6, 5, 1]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 10, 6, 5, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 8, 6, 5, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,041
| 1
|
|
[
"2",
"5",
"1",
"4"
] |
{'num_jugs': 4, 'capacities': [12, 7, 4, 2], 'total_water': 18, 'start': [10, 4, 3, 1], 'end': [7, 7, 2, 2], 'steps': [[10, 4, 3, 1], [7, 7, 3, 1], [7, 7, 2, 2]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 12, 7, 4, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 7, 7, 2, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,041
| 1
|
|
[
"1",
"2",
"4",
"6"
] |
{'num_jugs': 4, 'capacities': [13, 11, 7, 1], 'total_water': 27, 'start': [13, 8, 6, 0], 'end': [9, 11, 7, 0], 'steps': [[13, 8, 6, 0], [10, 11, 6, 0], [9, 11, 7, 0]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 11, 7, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 11, 7, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,043
| 0.375
|
|
[
"6",
"4",
"1",
"5"
] |
{'num_jugs': 4, 'capacities': [13, 11, 7, 1], 'total_water': 27, 'start': [13, 6, 7, 1], 'end': [13, 7, 7, 0], 'steps': [[13, 6, 7, 1], [13, 7, 7, 0]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 11, 7, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 7, 7, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,043
| 0.875
|
|
[
"4",
"1",
"6",
"2"
] |
{'num_jugs': 4, 'capacities': [14, 13, 7, 6], 'total_water': 29, 'start': [10, 11, 3, 5], 'end': [13, 6, 4, 6], 'steps': [[10, 11, 3, 5], [13, 11, 0, 5], [13, 13, 0, 3], [13, 6, 7, 3], [13, 6, 4, 6]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 14, 13, 7, 6 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 6, 4, 6 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,043
| 0.125
|
|
[
"4",
"3",
"6",
"1"
] |
{'num_jugs': 4, 'capacities': [13, 11, 9, 2], 'total_water': 23, 'start': [5, 10, 7, 1], 'end': [7, 8, 6, 2], 'steps': [[5, 10, 7, 1], [5, 10, 6, 2], [7, 10, 6, 0], [7, 8, 6, 2]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 11, 9, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 7, 8, 6, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,042
| 0.25
|
|
[
"4",
"2",
"3",
"1"
] |
{'num_jugs': 4, 'capacities': [10, 6, 5, 2], 'total_water': 20, 'start': [9, 4, 5, 2], 'end': [10, 5, 5, 0], 'steps': [[9, 4, 5, 2], [10, 3, 5, 2], [10, 5, 5, 0]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 10, 6, 5, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 10, 5, 5, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,042
| 0.75
|
|
[
"2",
"4",
"1",
"6"
] |
{'num_jugs': 4, 'capacities': [10, 6, 5, 2], 'total_water': 20, 'start': [10, 6, 3, 1], 'end': [8, 6, 4, 2], 'steps': [[10, 6, 3, 1], [8, 6, 5, 1], [8, 6, 4, 2]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 10, 6, 5, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 8, 6, 4, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,041
| 1
|
|
[
"4",
"1",
"2",
"3"
] |
{'num_jugs': 4, 'capacities': [12, 7, 4, 2], 'total_water': 18, 'start': [11, 4, 1, 2], 'end': [12, 3, 2, 1], 'steps': [[11, 4, 1, 2], [11, 1, 4, 2], [11, 3, 4, 0], [11, 3, 2, 2], [12, 3, 2, 1]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 12, 7, 4, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 12, 3, 2, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,042
| 0
|
|
[
"5",
"6",
"3",
"2"
] |
{'num_jugs': 4, 'capacities': [9, 6, 4, 1], 'total_water': 12, 'start': [6, 1, 4, 1], 'end': [6, 3, 3, 0], 'steps': [[6, 1, 4, 1], [6, 2, 4, 0], [6, 2, 3, 1], [6, 3, 3, 0]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 9, 6, 4, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 6, 3, 3, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,040
| 0.625
|
|
[
"5",
"4",
"3",
"1"
] |
{'num_jugs': 4, 'capacities': [12, 7, 4, 2], 'total_water': 18, 'start': [10, 6, 1, 1], 'end': [11, 5, 2, 0], 'steps': [[10, 6, 1, 1], [10, 5, 1, 2], [11, 5, 0, 2], [11, 5, 2, 0]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 12, 7, 4, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 11, 5, 2, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,042
| 0
|
|
[
"5",
"2",
"4",
"6"
] |
{'num_jugs': 4, 'capacities': [13, 9, 6, 3], 'total_water': 28, 'start': [12, 8, 6, 2], 'end': [13, 6, 6, 3], 'steps': [[12, 8, 6, 2], [11, 8, 6, 3], [13, 6, 6, 3]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 9, 6, 3 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 6, 6, 3 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,042
| 0.875
|
|
[
"1",
"6",
"2",
"3"
] |
{'num_jugs': 4, 'capacities': [13, 11, 7, 1], 'total_water': 27, 'start': [12, 11, 3, 1], 'end': [13, 8, 6, 0], 'steps': [[12, 11, 3, 1], [12, 7, 7, 1], [13, 7, 6, 1], [13, 8, 6, 0]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 11, 7, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 8, 6, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,043
| 0.25
|
|
[
"1",
"5",
"3",
"4"
] |
{'num_jugs': 4, 'capacities': [13, 11, 7, 1], 'total_water': 27, 'start': [12, 11, 3, 1], 'end': [8, 11, 7, 1], 'steps': [[12, 11, 3, 1], [8, 11, 7, 1]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 11, 7, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 8, 11, 7, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,043
| 1
|
|
[
"5",
"4",
"2",
"3"
] |
{'num_jugs': 4, 'capacities': [10, 6, 5, 2], 'total_water': 20, 'start': [10, 5, 5, 0], 'end': [8, 6, 4, 2], 'steps': [[10, 5, 5, 0], [8, 5, 5, 2], [8, 6, 4, 2]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 10, 6, 5, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 8, 6, 4, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,041
| 0.75
|
|
[
"3",
"2",
"5",
"1"
] |
{'num_jugs': 4, 'capacities': [14, 13, 7, 6], 'total_water': 29, 'start': [11, 11, 6, 1], 'end': [13, 8, 7, 1], 'steps': [[11, 11, 6, 1], [14, 8, 6, 1], [13, 8, 7, 1]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 14, 13, 7, 6 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 8, 7, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,043
| 0.875
|
|
[
"6",
"1",
"4",
"5"
] |
{'num_jugs': 4, 'capacities': [13, 11, 9, 2], 'total_water': 23, 'start': [6, 8, 7, 2], 'end': [8, 8, 7, 0], 'steps': [[6, 8, 7, 2], [8, 8, 7, 0]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 11, 9, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 8, 8, 7, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,042
| 1
|
|
[
"3",
"2",
"1",
"6"
] |
{'num_jugs': 4, 'capacities': [13, 11, 7, 1], 'total_water': 27, 'start': [11, 9, 7, 0], 'end': [13, 6, 7, 1], 'steps': [[11, 9, 7, 0], [10, 9, 7, 1], [13, 6, 7, 1]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 11, 7, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 6, 7, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,043
| 0.25
|
|
[
"6",
"4",
"5",
"3"
] |
{'num_jugs': 4, 'capacities': [13, 11, 7, 1], 'total_water': 27, 'start': [13, 10, 3, 1], 'end': [11, 10, 5, 1], 'steps': [[13, 10, 3, 1], [13, 10, 4, 0], [12, 10, 4, 1], [12, 10, 5, 0], [11, 10, 5, 1]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 11, 7, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 11, 10, 5, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,044
| 0.25
|
|
[
"4",
"3",
"2",
"5"
] |
{'num_jugs': 4, 'capacities': [13, 12, 6, 5], 'total_water': 14, 'start': [5, 6, 3, 0], 'end': [0, 5, 6, 3], 'steps': [[5, 6, 3, 0], [0, 11, 3, 0], [0, 11, 0, 3], [0, 5, 6, 3]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 12, 6, 5 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 0, 5, 6, 3 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,042
| 0.625
|
|
[
"1",
"4",
"6",
"2"
] |
{'num_jugs': 4, 'capacities': [9, 6, 4, 1], 'total_water': 12, 'start': [6, 1, 4, 1], 'end': [2, 5, 4, 1], 'steps': [[6, 1, 4, 1], [6, 5, 0, 1], [2, 5, 4, 1]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 9, 6, 4, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 2, 5, 4, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,040
| 0.5
|
|
[
"2",
"1",
"3",
"5"
] |
{'num_jugs': 4, 'capacities': [13, 11, 7, 1], 'total_water': 27, 'start': [10, 9, 7, 1], 'end': [12, 11, 4, 0], 'steps': [[10, 9, 7, 1], [13, 9, 4, 1], [11, 11, 4, 1], [12, 11, 4, 0]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 11, 7, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 12, 11, 4, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,044
| 1
|
|
[
"3",
"2",
"1",
"6"
] |
{'num_jugs': 4, 'capacities': [13, 11, 7, 1], 'total_water': 27, 'start': [12, 11, 4, 0], 'end': [13, 11, 2, 1], 'steps': [[12, 11, 4, 0], [11, 11, 4, 1], [13, 11, 2, 1]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 11, 7, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 11, 2, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,044
| 0.5
|
|
[
"1",
"6",
"3",
"2"
] |
{'num_jugs': 4, 'capacities': [10, 6, 5, 2], 'total_water': 20, 'start': [8, 6, 4, 2], 'end': [10, 6, 2, 2], 'steps': [[8, 6, 4, 2], [10, 6, 2, 2]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 10, 6, 5, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 10, 6, 2, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,042
| 1
|
|
[
"4",
"5",
"3",
"6"
] |
{'num_jugs': 4, 'capacities': [12, 7, 4, 2], 'total_water': 18, 'start': [6, 7, 4, 1], 'end': [8, 6, 2, 2], 'steps': [[6, 7, 4, 1], [6, 6, 4, 2], [8, 6, 4, 0], [8, 6, 2, 2]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 12, 7, 4, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 8, 6, 2, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,041
| 0
|
|
[
"2",
"1",
"3",
"6"
] |
{'num_jugs': 4, 'capacities': [12, 7, 4, 2], 'total_water': 18, 'start': [9, 5, 2, 2], 'end': [7, 5, 4, 2], 'steps': [[9, 5, 2, 2], [7, 5, 4, 2]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 12, 7, 4, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 7, 5, 4, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,041
| 1
|
|
[
"3",
"2",
"5",
"1"
] |
{'num_jugs': 4, 'capacities': [10, 6, 5, 2], 'total_water': 20, 'start': [8, 6, 4, 2], 'end': [10, 6, 3, 1], 'steps': [[8, 6, 4, 2], [8, 6, 5, 1], [10, 6, 3, 1]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 10, 6, 5, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 10, 6, 3, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,042
| 0.875
|
|
[
"1",
"4",
"3",
"6"
] |
{'num_jugs': 4, 'capacities': [13, 11, 7, 1], 'total_water': 27, 'start': [9, 11, 6, 1], 'end': [11, 11, 4, 1], 'steps': [[9, 11, 6, 1], [10, 11, 6, 0], [10, 11, 5, 1], [11, 11, 5, 0], [11, 11, 4, 1]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 11, 7, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 11, 11, 4, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,044
| 0
|
|
[
"2",
"4",
"1",
"6"
] |
{'num_jugs': 4, 'capacities': [13, 9, 6, 3], 'total_water': 28, 'start': [13, 8, 5, 2], 'end': [13, 9, 3, 3], 'steps': [[13, 8, 5, 2], [13, 7, 5, 3], [13, 9, 3, 3]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 9, 6, 3 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 9, 3, 3 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,042
| 1
|
|
[
"2",
"6",
"5",
"4"
] |
{'num_jugs': 4, 'capacities': [10, 6, 5, 2], 'total_water': 20, 'start': [8, 6, 5, 1], 'end': [9, 6, 3, 2], 'steps': [[8, 6, 5, 1], [10, 6, 3, 1], [9, 6, 3, 2]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 10, 6, 5, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 6, 3, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,041
| 1
|
|
[
"2",
"6",
"1",
"4"
] |
{'num_jugs': 4, 'capacities': [13, 9, 6, 3], 'total_water': 28, 'start': [12, 9, 6, 1], 'end': [13, 8, 4, 3], 'steps': [[12, 9, 6, 1], [13, 8, 6, 1], [13, 8, 4, 3]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 9, 6, 3 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 8, 4, 3 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,042
| 0.75
|
|
[
"6",
"5",
"4",
"3"
] |
{'num_jugs': 4, 'capacities': [13, 11, 7, 1], 'total_water': 27, 'start': [10, 10, 7, 0], 'end': [12, 8, 6, 1], 'steps': [[10, 10, 7, 0], [10, 11, 6, 0], [13, 8, 6, 0], [12, 8, 6, 1]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 13, 11, 7, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 12, 8, 6, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,043
| 0.375
|
|
[
"4",
"6",
"3",
"1"
] |
{'num_jugs': 4, 'capacities': [10, 6, 5, 2], 'total_water': 20, 'start': [10, 6, 3, 1], 'end': [10, 5, 3, 2], 'steps': [[10, 6, 3, 1], [10, 5, 3, 2]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 4 jugs of capacities 10, 6, 5, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 10, 5, 3, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,042
| 1
|
|
[
"5",
"3",
"2",
"6"
] |
{'num_jugs': 5, 'capacities': [11, 9, 8, 4, 3], 'total_water': 14, 'start': [1, 7, 1, 2, 3], 'end': [1, 4, 6, 0, 3], 'steps': [[1, 7, 1, 2, 3], [1, 0, 8, 2, 3], [1, 0, 6, 4, 3], [1, 4, 6, 0, 3]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 11, 9, 8, 4, 3 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 1, 4, 6, 0, 3 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,047
| 0.125
|
|
[
"4",
"6",
"1",
"3"
] |
{'num_jugs': 5, 'capacities': [14, 9, 7, 6, 1], 'total_water': 27, 'start': [13, 8, 3, 2, 1], 'end': [10, 7, 7, 3, 0], 'steps': [[13, 8, 3, 2, 1], [14, 7, 3, 2, 1], [10, 7, 7, 2, 1], [10, 7, 7, 3, 0]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 9, 7, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 10, 7, 7, 3, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,048
| 0.375
|
|
[
"1",
"4",
"3",
"5"
] |
{'num_jugs': 5, 'capacities': [12, 11, 8, 7, 6], 'total_water': 19, 'start': [6, 5, 4, 4, 0], 'end': [6, 8, 1, 0, 4], 'steps': [[6, 5, 4, 4, 0], [6, 1, 8, 4, 0], [6, 1, 8, 0, 4], [6, 1, 1, 7, 4], [6, 8, 1, 0, 4]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 12, 11, 8, 7, 6 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 6, 8, 1, 0, 4 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,048
| 0.125
|
|
[
"3",
"6",
"2",
"5"
] |
{'num_jugs': 5, 'capacities': [14, 9, 7, 6, 1], 'total_water': 27, 'start': [13, 7, 6, 0, 1], 'end': [12, 9, 0, 6, 0], 'steps': [[13, 7, 6, 0, 1], [11, 9, 6, 0, 1], [11, 9, 0, 6, 1], [12, 9, 0, 6, 0]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 9, 7, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 12, 9, 0, 6, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,048
| 0.5
|
|
[
"1",
"5",
"4",
"2"
] |
{'num_jugs': 5, 'capacities': [11, 9, 8, 4, 3], 'total_water': 14, 'start': [1, 1, 8, 3, 1], 'end': [5, 0, 3, 3, 3], 'steps': [[1, 1, 8, 3, 1], [2, 0, 8, 3, 1], [2, 0, 6, 3, 3], [5, 0, 6, 3, 0], [5, 0, 3, 3, 3]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 11, 9, 8, 4, 3 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 5, 0, 3, 3, 3 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,047
| 0
|
|
[
"2",
"4",
"6",
"1"
] |
{'num_jugs': 5, 'capacities': [14, 9, 7, 6, 1], 'total_water': 27, 'start': [12, 6, 3, 5, 1], 'end': [9, 6, 7, 5, 0], 'steps': [[12, 6, 3, 5, 1], [8, 6, 7, 5, 1], [9, 6, 7, 5, 0]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 9, 7, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 6, 7, 5, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,047
| 0.75
|
|
[
"4",
"1",
"6",
"5"
] |
{'num_jugs': 5, 'capacities': [12, 9, 7, 3, 1], 'total_water': 20, 'start': [6, 8, 5, 0, 1], 'end': [6, 8, 2, 3, 1], 'steps': [[6, 8, 5, 0, 1], [6, 8, 2, 3, 1]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 12, 9, 7, 3, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 6, 8, 2, 3, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,047
| 0.875
|
|
[
"2",
"6",
"4",
"5"
] |
{'num_jugs': 5, 'capacities': [11, 9, 8, 4, 3], 'total_water': 14, 'start': [0, 3, 6, 2, 3], 'end': [9, 0, 1, 4, 0], 'steps': [[0, 3, 6, 2, 3], [3, 0, 6, 2, 3], [9, 0, 0, 2, 3], [9, 0, 3, 2, 0], [9, 0, 1, 4, 0]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 11, 9, 8, 4, 3 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 0, 1, 4, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,047
| 0
|
|
[
"6",
"3",
"2",
"5"
] |
{'num_jugs': 5, 'capacities': [14, 9, 7, 6, 1], 'total_water': 27, 'start': [12, 6, 3, 5, 1], 'end': [13, 8, 3, 2, 1], 'steps': [[12, 6, 3, 5, 1], [12, 9, 3, 2, 1], [13, 9, 3, 2, 0], [13, 8, 3, 2, 1]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 9, 7, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 8, 3, 2, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,048
| 0
|
|
[
"2",
"1",
"4",
"6"
] |
{'num_jugs': 5, 'capacities': [14, 9, 7, 6, 1], 'total_water': 27, 'start': [14, 9, 2, 2, 0], 'end': [9, 6, 7, 5, 0], 'steps': [[14, 9, 2, 2, 0], [9, 9, 7, 2, 0], [9, 5, 7, 6, 0], [9, 5, 7, 5, 1], [9, 6, 7, 5, 0]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 9, 7, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 6, 7, 5, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,047
| 0.125
|
|
[
"4",
"1",
"3",
"5"
] |
{'num_jugs': 5, 'capacities': [11, 9, 8, 4, 3], 'total_water': 14, 'start': [1, 1, 8, 3, 1], 'end': [9, 0, 1, 4, 0], 'steps': [[1, 1, 8, 3, 1], [1, 0, 8, 4, 1], [9, 0, 0, 4, 1], [9, 0, 1, 4, 0]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 11, 9, 8, 4, 3 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 0, 1, 4, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,047
| 0.5
|
|
[
"6",
"5",
"3",
"1"
] |
{'num_jugs': 5, 'capacities': [12, 9, 7, 3, 1], 'total_water': 20, 'start': [5, 4, 7, 3, 1], 'end': [6, 9, 2, 2, 1], 'steps': [[5, 4, 7, 3, 1], [5, 9, 2, 3, 1], [6, 9, 2, 3, 0], [6, 9, 2, 2, 1]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 12, 9, 7, 3, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 6, 9, 2, 2, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,047
| 0
|
|
[
"5",
"2",
"3",
"4"
] |
{'num_jugs': 5, 'capacities': [14, 11, 8, 7, 2], 'total_water': 21, 'start': [4, 10, 3, 4, 0], 'end': [6, 9, 0, 6, 0], 'steps': [[4, 10, 3, 4, 0], [3, 11, 3, 4, 0], [3, 9, 3, 4, 2], [6, 9, 0, 4, 2], [6, 9, 0, 6, 0]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 11, 8, 7, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 6, 9, 0, 6, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,048
| 0.375
|
|
[
"2",
"1",
"5",
"4"
] |
{'num_jugs': 5, 'capacities': [14, 11, 9, 6, 1], 'total_water': 29, 'start': [4, 11, 8, 6, 0], 'end': [13, 9, 6, 0, 1], 'steps': [[4, 11, 8, 6, 0], [14, 1, 8, 6, 0], [13, 1, 8, 6, 1], [13, 9, 0, 6, 1], [13, 9, 6, 0, 1]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 11, 9, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 9, 6, 0, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,049
| 0.25
|
|
[
"1",
"3",
"5",
"4"
] |
{'num_jugs': 5, 'capacities': [12, 11, 8, 7, 6], 'total_water': 19, 'start': [4, 6, 8, 1, 0], 'end': [12, 4, 1, 2, 0], 'steps': [[4, 6, 8, 1, 0], [5, 6, 8, 0, 0], [5, 6, 1, 7, 0], [5, 11, 1, 2, 0], [12, 4, 1, 2, 0]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 12, 11, 8, 7, 6 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 12, 4, 1, 2, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,049
| 0.125
|
|
[
"1",
"5",
"4",
"2"
] |
{'num_jugs': 5, 'capacities': [12, 11, 8, 7, 6], 'total_water': 19, 'start': [3, 7, 2, 5, 2], 'end': [10, 1, 1, 7, 0], 'steps': [[3, 7, 2, 5, 2], [3, 1, 8, 5, 2], [8, 1, 8, 0, 2], [8, 1, 1, 7, 2], [10, 1, 1, 7, 0]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 12, 11, 8, 7, 6 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 10, 1, 1, 7, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,049
| 0.25
|
|
[
"1",
"4",
"3",
"2"
] |
{'num_jugs': 5, 'capacities': [12, 11, 8, 7, 6], 'total_water': 19, 'start': [3, 4, 6, 1, 5], 'end': [0, 3, 3, 7, 6], 'steps': [[3, 4, 6, 1, 5], [0, 4, 6, 4, 5], [0, 3, 6, 4, 6], [0, 3, 3, 7, 6]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 12, 11, 8, 7, 6 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 0, 3, 3, 7, 6 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,048
| 0.5
|
|
[
"1",
"3",
"6",
"4"
] |
{'num_jugs': 5, 'capacities': [14, 9, 7, 6, 1], 'total_water': 27, 'start': [14, 6, 5, 1, 1], 'end': [14, 5, 2, 5, 1], 'steps': [[14, 6, 5, 1, 1], [14, 4, 7, 1, 1], [14, 4, 2, 6, 1], [14, 5, 2, 6, 0], [14, 5, 2, 5, 1]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 9, 7, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 14, 5, 2, 5, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,048
| 0
|
|
[
"3",
"1",
"2",
"5"
] |
{'num_jugs': 5, 'capacities': [14, 11, 9, 6, 1], 'total_water': 29, 'start': [6, 10, 8, 4, 1], 'end': [6, 8, 9, 6, 0], 'steps': [[6, 10, 8, 4, 1], [6, 8, 8, 6, 1], [6, 8, 9, 6, 0]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 11, 9, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 6, 8, 9, 6, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,048
| 0.25
|
|
[
"2",
"6",
"3",
"4"
] |
{'num_jugs': 5, 'capacities': [14, 9, 7, 6, 1], 'total_water': 27, 'start': [13, 6, 3, 4, 1], 'end': [14, 6, 5, 1, 1], 'steps': [[13, 6, 3, 4, 1], [9, 6, 7, 4, 1], [9, 6, 5, 6, 1], [14, 6, 5, 1, 1]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 9, 7, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 14, 6, 5, 1, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,048
| 0.125
|
|
[
"5",
"6",
"1",
"4"
] |
{'num_jugs': 5, 'capacities': [14, 11, 9, 6, 1], 'total_water': 29, 'start': [13, 6, 7, 3, 0], 'end': [13, 7, 4, 4, 1], 'steps': [[13, 6, 7, 3, 0], [13, 6, 4, 6, 0], [13, 6, 4, 5, 1], [13, 7, 4, 5, 0], [13, 7, 4, 4, 1]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 11, 9, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 7, 4, 4, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,049
| 0.125
|
|
[
"6",
"3",
"5",
"2"
] |
{'num_jugs': 5, 'capacities': [14, 11, 9, 6, 1], 'total_water': 29, 'start': [4, 11, 8, 6, 0], 'end': [12, 2, 9, 6, 0], 'steps': [[4, 11, 8, 6, 0], [12, 11, 0, 6, 0], [12, 2, 9, 6, 0]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 11, 9, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 12, 2, 9, 6, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,049
| 0.625
|
|
[
"3",
"4",
"6",
"5"
] |
{'num_jugs': 5, 'capacities': [12, 11, 8, 7, 6], 'total_water': 19, 'start': [5, 5, 6, 3, 0], 'end': [0, 3, 3, 7, 6], 'steps': [[5, 5, 6, 3, 0], [0, 10, 6, 3, 0], [0, 10, 0, 3, 6], [0, 10, 3, 0, 6], [0, 3, 3, 7, 6]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 12, 11, 8, 7, 6 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 0, 3, 3, 7, 6 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,048
| 0.75
|
|
[
"4",
"6",
"5",
"1"
] |
{'num_jugs': 5, 'capacities': [12, 9, 7, 3, 1], 'total_water': 20, 'start': [6, 8, 5, 0, 1], 'end': [12, 3, 3, 1, 1], 'steps': [[6, 8, 5, 0, 1], [6, 5, 5, 3, 1], [6, 5, 7, 1, 1], [6, 9, 3, 1, 1], [12, 3, 3, 1, 1]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 12, 9, 7, 3, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 12, 3, 3, 1, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,048
| 0.125
|
|
[
"2",
"6",
"3",
"5"
] |
{'num_jugs': 5, 'capacities': [11, 9, 8, 4, 3], 'total_water': 14, 'start': [5, 3, 2, 1, 3], 'end': [1, 4, 6, 0, 3], 'steps': [[5, 3, 2, 1, 3], [5, 4, 2, 0, 3], [1, 4, 2, 4, 3], [1, 4, 6, 0, 3]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 11, 9, 8, 4, 3 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 1, 4, 6, 0, 3 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,047
| 0.25
|
|
[
"1",
"4",
"2",
"3"
] |
{'num_jugs': 5, 'capacities': [12, 9, 7, 3, 1], 'total_water': 20, 'start': [10, 3, 6, 0, 1], 'end': [9, 3, 7, 0, 1], 'steps': [[10, 3, 6, 0, 1], [9, 3, 7, 0, 1]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 12, 9, 7, 3, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 9, 3, 7, 0, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,047
| 1
|
|
[
"6",
"2",
"5",
"3"
] |
{'num_jugs': 5, 'capacities': [12, 11, 8, 7, 6], 'total_water': 19, 'start': [8, 10, 1, 0, 0], 'end': [2, 3, 7, 7, 0], 'steps': [[8, 10, 1, 0, 0], [2, 10, 1, 0, 6], [2, 3, 1, 7, 6], [2, 3, 7, 7, 0]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 12, 11, 8, 7, 6 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 2, 3, 7, 7, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,048
| 0.375
|
|
[
"3",
"6",
"4",
"1"
] |
{'num_jugs': 5, 'capacities': [14, 9, 7, 6, 1], 'total_water': 27, 'start': [13, 6, 3, 4, 1], 'end': [13, 8, 1, 5, 0], 'steps': [[13, 6, 3, 4, 1], [13, 9, 0, 4, 1], [13, 9, 1, 4, 0], [13, 8, 1, 4, 1], [13, 8, 1, 5, 0]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 9, 7, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 13, 8, 1, 5, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,048
| 0
|
|
[
"5",
"2",
"4",
"6"
] |
{'num_jugs': 5, 'capacities': [14, 11, 8, 7, 2], 'total_water': 21, 'start': [10, 3, 2, 5, 1], 'end': [0, 10, 3, 6, 2], 'steps': [[10, 3, 2, 5, 1], [10, 0, 5, 5, 1], [0, 10, 5, 5, 1], [0, 10, 3, 7, 1], [0, 10, 3, 6, 2]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 11, 8, 7, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 0, 10, 3, 6, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,049
| 0.625
|
|
[
"1",
"5",
"6",
"3"
] |
{'num_jugs': 5, 'capacities': [12, 9, 7, 3, 1], 'total_water': 20, 'start': [5, 4, 7, 3, 1], 'end': [12, 4, 0, 3, 1], 'steps': [[5, 4, 7, 3, 1], [12, 4, 0, 3, 1]], 'num_steps': 1}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 12, 9, 7, 3, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 12, 4, 0, 3, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
| 3,048
| 1
|
|
[
"4",
"1",
"3",
"2"
] |
{'num_jugs': 5, 'capacities': [14, 11, 9, 6, 1], 'total_water': 29, 'start': [10, 9, 3, 6, 1], 'end': [12, 2, 9, 6, 0], 'steps': [[10, 9, 3, 6, 1], [8, 11, 3, 6, 1], [11, 11, 0, 6, 1], [11, 2, 9, 6, 1], [12, 2, 9, 6, 0]], 'num_steps': 4}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 11, 9, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 12, 2, 9, 6, 0 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
| 3,049
| 0.25
|
|
[
"1",
"3",
"2",
"4"
] |
{'num_jugs': 5, 'capacities': [14, 11, 8, 7, 2], 'total_water': 21, 'start': [10, 3, 5, 1, 2], 'end': [11, 2, 5, 1, 2], 'steps': [[10, 3, 5, 1, 2], [13, 0, 5, 1, 2], [13, 2, 5, 1, 0], [11, 2, 5, 1, 2]], 'num_steps': 3}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 11, 8, 7, 2 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 11, 2, 5, 1, 2 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
| 3,049
| 0
|
|
[
"2",
"5",
"1",
"4"
] |
{'num_jugs': 5, 'capacities': [14, 9, 7, 6, 1], 'total_water': 27, 'start': [12, 3, 6, 6, 0], 'end': [6, 8, 6, 6, 1], 'steps': [[12, 3, 6, 6, 0], [6, 9, 6, 6, 0], [6, 8, 6, 6, 1]], 'num_steps': 2}
|
algopuzzle
|
[
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.",
"role": "system"
},
{
"content": "<image>You are given 5 jugs of capacities 14, 9, 7, 6, 1 litres. Initially, the amount of water that is contained in each jar is shown in the image. A single step of water pouring from one jug to another is constrained by the following rules: i) take a non-empty jug and pour water from it to another non-full jug until the first one becomes empty or the second one becomes full; and ii) no water can be split while pouring. The objective is to reach the amounts of 6, 8, 6, 6, 1 litres of water in the jugs from left to right, respectively. What is the minimum number of water pouring steps required to achieve the objective?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
| 3,047
| 1
|
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