problem_id int64 0 49 | trajectory_id int64 0 31 | question stringclasses 50
values | messages stringlengths 4.37k 85.9k | final_reward float64 0 1 | terminated bool 1
class | truncated bool 1
class | tests stringclasses 50
values | is_successful bool 2
classes | num_extensions int64 4 4 | total_tokens int64 693 20.5k | rendered stringlengths 4.4k 83.2k |
|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 0 | Find out if it is possible to partition the first $n$ positive integers into two non-empty disjoint sets $S_1$ and $S_2$ such that:$\mathrm{gcd}(\mathrm{sum}(S_1), \mathrm{sum}(S_2)) > 1$
Here $\mathrm{sum}(S)$ denotes the sum of all elements present in set $S$ and $\mathrm{gcd}$ means thegreatest common divisor.
Ev... | [{"role": "system", "content": "You are a helpful coding assistant.\nSolve the given programming problem and provide your solution.\n\nFirst, think about the problem step by step.\nThen, provide your final solution wrapped in ```python``` code blocks.\n"}, {"role": "user", "content": "Find out if it is possible to part... | 0.2 | true | false | {"inputs": ["1\n", "3\n", "10\n", "9\n", "13\n", "20\n", "2\n", "4\n", "37\n", "22\n"], "outputs": ["No", "Yes\n1 2\n2 1 3 \n", "Yes\n1 5\n9 1 2 3 4 6 7 8 9 10 \n", "Yes\n1 5\n8 1 2 3 4 6 7 8 9 \n", "Yes\n1 7\n12 1 2 3 4 5 6 8 9 10 11 12 13 \n", "Yes\n1 10\n19 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 \n", "No", ... | true | 4 | 4,911 | ================================================================================
Question: Find out if it is possible to partition the first ...
Reward: 0.20 | Terminated: True | Extensions: 4
================================================================================
[SYSTEM]
You are a helpful coding assistant.
... |
0 | 1 | Find out if it is possible to partition the first $n$ positive integers into two non-empty disjoint sets $S_1$ and $S_2$ such that:$\mathrm{gcd}(\mathrm{sum}(S_1), \mathrm{sum}(S_2)) > 1$
Here $\mathrm{sum}(S)$ denotes the sum of all elements present in set $S$ and $\mathrm{gcd}$ means thegreatest common divisor.
Ev... | [{"role": "system", "content": "You are a helpful coding assistant.\nSolve the given programming problem and provide your solution.\n\nFirst, think about the problem step by step.\nThen, provide your final solution wrapped in ```python``` code blocks.\n"}, {"role": "user", "content": "Find out if it is possible to part... | 0.4 | true | false | {"inputs": ["1\n", "3\n", "10\n", "9\n", "13\n", "20\n", "2\n", "4\n", "37\n", "22\n"], "outputs": ["No", "Yes\n1 2\n2 1 3 \n", "Yes\n1 5\n9 1 2 3 4 6 7 8 9 10 \n", "Yes\n1 5\n8 1 2 3 4 6 7 8 9 \n", "Yes\n1 7\n12 1 2 3 4 5 6 8 9 10 11 12 13 \n", "Yes\n1 10\n19 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 \n", "No", ... | true | 4 | 5,621 | ================================================================================
Question: Find out if it is possible to partition the first ...
Reward: 0.40 | Terminated: True | Extensions: 4
================================================================================
[SYSTEM]
You are a helpful coding assistant.
... |
0 | 2 | Find out if it is possible to partition the first $n$ positive integers into two non-empty disjoint sets $S_1$ and $S_2$ such that:$\mathrm{gcd}(\mathrm{sum}(S_1), \mathrm{sum}(S_2)) > 1$
Here $\mathrm{sum}(S)$ denotes the sum of all elements present in set $S$ and $\mathrm{gcd}$ means thegreatest common divisor.
Ev... | [{"role": "system", "content": "You are a helpful coding assistant.\nSolve the given programming problem and provide your solution.\n\nFirst, think about the problem step by step.\nThen, provide your final solution wrapped in ```python``` code blocks.\n"}, {"role": "user", "content": "Find out if it is possible to part... | 0.2 | true | false | {"inputs": ["1\n", "3\n", "10\n", "9\n", "13\n", "20\n", "2\n", "4\n", "37\n", "22\n"], "outputs": ["No", "Yes\n1 2\n2 1 3 \n", "Yes\n1 5\n9 1 2 3 4 6 7 8 9 10 \n", "Yes\n1 5\n8 1 2 3 4 6 7 8 9 \n", "Yes\n1 7\n12 1 2 3 4 5 6 8 9 10 11 12 13 \n", "Yes\n1 10\n19 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 \n", "No", ... | true | 4 | 4,530 | ================================================================================
Question: Find out if it is possible to partition the first ...
Reward: 0.20 | Terminated: True | Extensions: 4
================================================================================
[SYSTEM]
You are a helpful coding assistant.
... |
0 | 3 | Find out if it is possible to partition the first $n$ positive integers into two non-empty disjoint sets $S_1$ and $S_2$ such that:$\mathrm{gcd}(\mathrm{sum}(S_1), \mathrm{sum}(S_2)) > 1$
Here $\mathrm{sum}(S)$ denotes the sum of all elements present in set $S$ and $\mathrm{gcd}$ means thegreatest common divisor.
Ev... | [{"role": "system", "content": "You are a helpful coding assistant.\nSolve the given programming problem and provide your solution.\n\nFirst, think about the problem step by step.\nThen, provide your final solution wrapped in ```python``` code blocks.\n"}, {"role": "user", "content": "Find out if it is possible to part... | 0.2 | true | false | {"inputs": ["1\n", "3\n", "10\n", "9\n", "13\n", "20\n", "2\n", "4\n", "37\n", "22\n"], "outputs": ["No", "Yes\n1 2\n2 1 3 \n", "Yes\n1 5\n9 1 2 3 4 6 7 8 9 10 \n", "Yes\n1 5\n8 1 2 3 4 6 7 8 9 \n", "Yes\n1 7\n12 1 2 3 4 5 6 8 9 10 11 12 13 \n", "Yes\n1 10\n19 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 \n", "No", ... | true | 4 | 5,742 | ================================================================================
Question: Find out if it is possible to partition the first ...
Reward: 0.20 | Terminated: True | Extensions: 4
================================================================================
[SYSTEM]
You are a helpful coding assistant.
... |
0 | 4 | Find out if it is possible to partition the first $n$ positive integers into two non-empty disjoint sets $S_1$ and $S_2$ such that:$\mathrm{gcd}(\mathrm{sum}(S_1), \mathrm{sum}(S_2)) > 1$
Here $\mathrm{sum}(S)$ denotes the sum of all elements present in set $S$ and $\mathrm{gcd}$ means thegreatest common divisor.
Ev... | [{"role": "system", "content": "You are a helpful coding assistant.\nSolve the given programming problem and provide your solution.\n\nFirst, think about the problem step by step.\nThen, provide your final solution wrapped in ```python``` code blocks.\n"}, {"role": "user", "content": "Find out if it is possible to part... | 0.2 | true | false | {"inputs": ["1\n", "3\n", "10\n", "9\n", "13\n", "20\n", "2\n", "4\n", "37\n", "22\n"], "outputs": ["No", "Yes\n1 2\n2 1 3 \n", "Yes\n1 5\n9 1 2 3 4 6 7 8 9 10 \n", "Yes\n1 5\n8 1 2 3 4 6 7 8 9 \n", "Yes\n1 7\n12 1 2 3 4 5 6 8 9 10 11 12 13 \n", "Yes\n1 10\n19 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 \n", "No", ... | true | 4 | 3,697 | ================================================================================
Question: Find out if it is possible to partition the first ...
Reward: 0.20 | Terminated: True | Extensions: 4
================================================================================
[SYSTEM]
You are a helpful coding assistant.
... |
0 | 5 | "Find out if it is possible to partition the first $n$ positive integers into two non-empty disjoint(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\nSolve the given progra(...TRUNCATED) | 0.2 | true | false | "{\"inputs\": [\"1\\n\", \"3\\n\", \"10\\n\", \"9\\n\", \"13\\n\", \"20\\n\", \"2\\n\", \"4\\n\", \"(...TRUNCATED) | true | 4 | 3,701 | "================================================================================\nQuestion: Find ou(...TRUNCATED) |
0 | 6 | "Find out if it is possible to partition the first $n$ positive integers into two non-empty disjoint(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\nSolve the given progra(...TRUNCATED) | 0.2 | true | false | "{\"inputs\": [\"1\\n\", \"3\\n\", \"10\\n\", \"9\\n\", \"13\\n\", \"20\\n\", \"2\\n\", \"4\\n\", \"(...TRUNCATED) | true | 4 | 8,468 | "================================================================================\nQuestion: Find ou(...TRUNCATED) |
0 | 7 | "Find out if it is possible to partition the first $n$ positive integers into two non-empty disjoint(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\nSolve the given progra(...TRUNCATED) | 0.2 | true | false | "{\"inputs\": [\"1\\n\", \"3\\n\", \"10\\n\", \"9\\n\", \"13\\n\", \"20\\n\", \"2\\n\", \"4\\n\", \"(...TRUNCATED) | true | 4 | 3,976 | "================================================================================\nQuestion: Find ou(...TRUNCATED) |
0 | 8 | "Find out if it is possible to partition the first $n$ positive integers into two non-empty disjoint(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\nSolve the given progra(...TRUNCATED) | 0.4 | true | false | "{\"inputs\": [\"1\\n\", \"3\\n\", \"10\\n\", \"9\\n\", \"13\\n\", \"20\\n\", \"2\\n\", \"4\\n\", \"(...TRUNCATED) | true | 4 | 3,374 | "================================================================================\nQuestion: Find ou(...TRUNCATED) |
0 | 9 | "Find out if it is possible to partition the first $n$ positive integers into two non-empty disjoint(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\nSolve the given progra(...TRUNCATED) | 0.4 | true | false | "{\"inputs\": [\"1\\n\", \"3\\n\", \"10\\n\", \"9\\n\", \"13\\n\", \"20\\n\", \"2\\n\", \"4\\n\", \"(...TRUNCATED) | true | 4 | 7,444 | "================================================================================\nQuestion: Find ou(...TRUNCATED) |
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