data_source
stringclasses 1
value | prompt
listlengths 1
1
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stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[3, 3, 3, 3, 3, 3], [3, 2, 2, 2, 2, 3], [3, 2, 0, 0, 2, 3], [3, 2, 0, 0, 2, 3], [3, 2, 2, 2, 2, 3], [3, 3, 3, 3, 3, 3]]\nOutput: [[0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0], [0, 3, 2, 2, 3, 0], [0, 3, 2, 2, 3, 0], [0, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0], [0, 7, 6, 6, 7, 0], [0, 7, 6, 6, 7, 0], [0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[6, 6, 6, 6, 6, 6], [6, 0, 0, 0, 0, 6], [6, 0, 7, 7, 0, 6], [6, 0, 7, 7, 0, 6], [6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6]]\nDemonstration 3:\nInput: [[8, 8, 8, 8, 8, 8, 8, 8], [8, 0, 0, 0, 0, 0, 0, 8], [8, 0, 5, 5, 5, 5, 0, 8], [8, 0, 5, 8, 8, 5, 0, 8], [8, 0, 5, 8, 8, 5, 0, 8], [8, 0, 5, 5, 5, 5, 0, 8], [8, 0, 0, 0, 0, 0, 0, 8], [8, 8, 8, 8, 8, 8, 8, 8]]\nOutput: [[5, 5, 5, 5, 5, 5, 5, 5], [5, 8, 8, 8, 8, 8, 8, 5], [5, 8, 0, 0, 0, 0, 8, 5], [5, 8, 0, 5, 5, 0, 8, 5], [5, 8, 0, 5, 5, 0, 8, 5], [5, 8, 0, 0, 0, 0, 8, 5], [5, 8, 8, 8, 8, 8, 8, 5], [5, 5, 5, 5, 5, 5, 5, 5]]\nTest:\nInput: [[9, 9, 9, 9, 9, 9], [9, 0, 0, 0, 0, 9], [9, 0, 1, 1, 0, 9], [9, 0, 1, 1, 0, 9], [9, 0, 0, 0, 0, 9], [9, 9, 9, 9, 9, 9]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[1, 1, 1, 1, 1, 1]",
"style": "rule"
}
|
{
"answer": "[1, 1, 1, 1, 1, 1]",
"index": 0,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[3, 3, 3, 3, 3, 3], [3, 2, 2, 2, 2, 3], [3, 2, 0, 0, 2, 3], [3, 2, 0, 0, 2, 3], [3, 2, 2, 2, 2, 3], [3, 3, 3, 3, 3, 3]]\nOutput: [[0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0], [0, 3, 2, 2, 3, 0], [0, 3, 2, 2, 3, 0], [0, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0], [0, 7, 6, 6, 7, 0], [0, 7, 6, 6, 7, 0], [0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[6, 6, 6, 6, 6, 6], [6, 0, 0, 0, 0, 6], [6, 0, 7, 7, 0, 6], [6, 0, 7, 7, 0, 6], [6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6]]\nDemonstration 3:\nInput: [[8, 8, 8, 8, 8, 8, 8, 8], [8, 0, 0, 0, 0, 0, 0, 8], [8, 0, 5, 5, 5, 5, 0, 8], [8, 0, 5, 8, 8, 5, 0, 8], [8, 0, 5, 8, 8, 5, 0, 8], [8, 0, 5, 5, 5, 5, 0, 8], [8, 0, 0, 0, 0, 0, 0, 8], [8, 8, 8, 8, 8, 8, 8, 8]]\nOutput: [[5, 5, 5, 5, 5, 5, 5, 5], [5, 8, 8, 8, 8, 8, 8, 5], [5, 8, 0, 0, 0, 0, 8, 5], [5, 8, 0, 5, 5, 0, 8, 5], [5, 8, 0, 5, 5, 0, 8, 5], [5, 8, 0, 0, 0, 0, 8, 5], [5, 8, 8, 8, 8, 8, 8, 5], [5, 5, 5, 5, 5, 5, 5, 5]]\nTest:\nInput: [[9, 9, 9, 9, 9, 9], [9, 0, 0, 0, 0, 9], [9, 0, 1, 1, 0, 9], [9, 0, 1, 1, 0, 9], [9, 0, 0, 0, 0, 9], [9, 9, 9, 9, 9, 9]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[2, 7, 8, 8, 8], [5, 5, 6, 5, 4], [8, 5, 5, 5, 2], [8, 8, 4, 3, 6], [6, 5, 1, 9, 3]]\nOutput: [[2, 7, 5, 5, 5], [8, 8, 6, 8, 4], [5, 8, 8, 8, 2], [5, 5, 4, 3, 6], [6, 8, 1, 9, 3]]\nDemonstration 2:\nInput: [[3, 5, 1], [4, 5, 8], [2, 4, 9]]\nOutput: [[3, 8, 1], [4, 8, 5], [2, 4, 9]]\nDemonstration 3:\nInput: [[6, 5, 3], [5, 7, 5], [8, 8, 2]]\nOutput: [[6, 8, 3], [8, 7, 8], [5, 5, 2]]\nTest:\nInput: [[8, 8, 4, 5], [3, 8, 7, 5], [3, 7, 1, 9], [6, 4, 8, 8]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[5, 5, 4, 8]",
"style": "rule"
}
|
{
"answer": "[5, 5, 4, 8]",
"index": 1,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[2, 7, 8, 8, 8], [5, 5, 6, 5, 4], [8, 5, 5, 5, 2], [8, 8, 4, 3, 6], [6, 5, 1, 9, 3]]\nOutput: [[2, 7, 5, 5, 5], [8, 8, 6, 8, 4], [5, 8, 8, 8, 2], [5, 5, 4, 3, 6], [6, 8, 1, 9, 3]]\nDemonstration 2:\nInput: [[3, 5, 1], [4, 5, 8], [2, 4, 9]]\nOutput: [[3, 8, 1], [4, 8, 5], [2, 4, 9]]\nDemonstration 3:\nInput: [[6, 5, 3], [5, 7, 5], [8, 8, 2]]\nOutput: [[6, 8, 3], [8, 7, 8], [5, 5, 2]]\nTest:\nInput: [[8, 8, 4, 5], [3, 8, 7, 5], [3, 7, 1, 9], [6, 4, 8, 8]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 7, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 7, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 7, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 7, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 7, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 7, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0], [0, 2, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0], [0, 2, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\nDemonstration 3:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]",
"style": "rule"
}
|
{
"answer": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]",
"index": 2,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 7, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 7, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 7, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 7, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 7, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 7, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0], [0, 2, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0], [0, 2, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\nDemonstration 3:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[2, 0, 0, 0, 0], [0, 2, 0, 0, 2], [2, 0, 0, 2, 0], [0, 0, 0, 2, 2], [0, 0, 2, 2, 0]]\nOutput: [[5, 5, 5], [0, 5, 0], [0, 5, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0], [0, 0, 1, 1, 1], [0, 1, 0, 1, 1], [0, 1, 0, 1, 0], [0, 0, 0, 0, 1]]\nOutput: [[0, 5, 0], [5, 5, 5], [0, 5, 0]]\nDemonstration 3:\nInput: [[3, 0, 0, 0, 0], [0, 0, 0, 3, 3], [0, 3, 3, 0, 0], [0, 3, 0, 3, 0], [3, 0, 3, 3, 0]]\nOutput: [[0, 0, 5], [0, 0, 5], [5, 5, 5]]\nDemonstration 4:\nInput: [[1, 0, 1, 0, 0], [1, 0, 0, 1, 1], [1, 1, 0, 1, 0], [0, 1, 0, 1, 0], [1, 0, 0, 0, 1]]\nOutput: [[0, 5, 0], [5, 5, 5], [0, 5, 0]]\nDemonstration 5:\nInput: [[2, 0, 2, 0, 2], [2, 0, 0, 0, 2], [2, 2, 0, 0, 0], [2, 0, 0, 2, 2], [2, 2, 2, 0, 2]]\nOutput: [[5, 5, 5], [0, 5, 0], [0, 5, 0]]\nDemonstration 6:\nInput: [[0, 2, 0, 2, 0], [0, 2, 2, 2, 0], [0, 2, 2, 0, 2], [2, 2, 2, 0, 0], [0, 0, 2, 0, 2]]\nOutput: [[5, 5, 5], [0, 5, 0], [0, 5, 0]]\nDemonstration 7:\nInput: [[0, 3, 0, 3, 0], [3, 3, 0, 0, 0], [0, 3, 0, 0, 0], [0, 0, 3, 0, 0], [3, 3, 3, 0, 0]]\nOutput: [[0, 0, 5], [0, 0, 5], [5, 5, 5]]\nTest:\nInput: [[0, 3, 0, 3, 3], [0, 0, 3, 0, 0], [3, 0, 0, 0, 0], [0, 0, 3, 0, 3], [0, 0, 0, 0, 3]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 0, 5]",
"style": "rule"
}
|
{
"answer": "[0, 0, 5]",
"index": 3,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[2, 0, 0, 0, 0], [0, 2, 0, 0, 2], [2, 0, 0, 2, 0], [0, 0, 0, 2, 2], [0, 0, 2, 2, 0]]\nOutput: [[5, 5, 5], [0, 5, 0], [0, 5, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0], [0, 0, 1, 1, 1], [0, 1, 0, 1, 1], [0, 1, 0, 1, 0], [0, 0, 0, 0, 1]]\nOutput: [[0, 5, 0], [5, 5, 5], [0, 5, 0]]\nDemonstration 3:\nInput: [[3, 0, 0, 0, 0], [0, 0, 0, 3, 3], [0, 3, 3, 0, 0], [0, 3, 0, 3, 0], [3, 0, 3, 3, 0]]\nOutput: [[0, 0, 5], [0, 0, 5], [5, 5, 5]]\nDemonstration 4:\nInput: [[1, 0, 1, 0, 0], [1, 0, 0, 1, 1], [1, 1, 0, 1, 0], [0, 1, 0, 1, 0], [1, 0, 0, 0, 1]]\nOutput: [[0, 5, 0], [5, 5, 5], [0, 5, 0]]\nDemonstration 5:\nInput: [[2, 0, 2, 0, 2], [2, 0, 0, 0, 2], [2, 2, 0, 0, 0], [2, 0, 0, 2, 2], [2, 2, 2, 0, 2]]\nOutput: [[5, 5, 5], [0, 5, 0], [0, 5, 0]]\nDemonstration 6:\nInput: [[0, 2, 0, 2, 0], [0, 2, 2, 2, 0], [0, 2, 2, 0, 2], [2, 2, 2, 0, 0], [0, 0, 2, 0, 2]]\nOutput: [[5, 5, 5], [0, 5, 0], [0, 5, 0]]\nDemonstration 7:\nInput: [[0, 3, 0, 3, 0], [3, 3, 0, 0, 0], [0, 3, 0, 0, 0], [0, 0, 3, 0, 0], [3, 3, 3, 0, 0]]\nOutput: [[0, 0, 5], [0, 0, 5], [5, 5, 5]]\nTest:\nInput: [[0, 3, 0, 3, 3], [0, 0, 3, 0, 0], [3, 0, 0, 0, 0], [0, 0, 3, 0, 3], [0, 0, 0, 0, 3]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 3:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4]]\nTest:\nInput: [[0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 0, 0, 0, 0, 4, 0, 0, 0, 4]",
"style": "rule"
}
|
{
"answer": "[0, 0, 0, 0, 0, 4, 0, 0, 0, 4]",
"index": 4,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 3:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4]]\nTest:\nInput: [[0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]\nDemonstration 2:\nInput: [[5, 0, 0], [5, 0, 0], [5, 0, 0]]\nOutput: [[5, 0, 2], [5, 2, 0], [5, 4, 4]]\nDemonstration 3:\nInput: [[8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0]]\nOutput: [[8, 0, 0, 0, 0, 0, 2], [8, 0, 0, 0, 0, 2, 0], [8, 0, 0, 0, 2, 0, 0], [8, 0, 0, 2, 0, 0, 0], [8, 0, 2, 0, 0, 0, 0], [8, 2, 0, 0, 0, 0, 0], [8, 4, 4, 4, 4, 4, 4]]\nTest:\nInput: [[3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[3, 0, 0, 0, 0, 0, 0, 0, 0, 2]",
"style": "rule"
}
|
{
"answer": "[3, 0, 0, 0, 0, 0, 0, 0, 0, 2]",
"index": 5,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]\nDemonstration 2:\nInput: [[5, 0, 0], [5, 0, 0], [5, 0, 0]]\nOutput: [[5, 0, 2], [5, 2, 0], [5, 4, 4]]\nDemonstration 3:\nInput: [[8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0]]\nOutput: [[8, 0, 0, 0, 0, 0, 2], [8, 0, 0, 0, 0, 2, 0], [8, 0, 0, 0, 2, 0, 0], [8, 0, 0, 2, 0, 0, 0], [8, 0, 2, 0, 0, 0, 0], [8, 2, 0, 0, 0, 0, 0], [8, 4, 4, 4, 4, 4, 4]]\nTest:\nInput: [[3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8], [0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]",
"style": "rule"
}
|
{
"answer": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]",
"index": 6,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8], [0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 8, 8, 2, 8, 8, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 8, 2, 8, 8, 8, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 0, 0], [0, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 0, 0, 0], [0, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 0, 0], [0, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 4, 4, 1, 4, 1, 4, 4, 4, 1, 1, 0, 0, 0], [4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4], [0, 0, 1, 1, 4, 4, 1, 4, 1, 4, 4, 4, 1, 1, 0, 0, 0], [0, 0, 1, 1, 4, 4, 1, 4, 1, 4, 4, 4, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 3:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 1, 1, 1, 1, 1, 8, 1, 1, 1, 8, 1, 1, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0]",
"style": "rule"
}
|
{
"answer": "[0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0]",
"index": 7,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 8, 8, 2, 8, 8, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0], [0, 8, 8, 8, 2, 8, 8, 8, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 2, 8, 2, 2, 8, 2, 2, 8, 8, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 0, 0], [0, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 0, 0, 0], [0, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 0, 0], [0, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 4, 4, 1, 4, 1, 4, 4, 4, 1, 1, 0, 0, 0], [4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4], [0, 0, 1, 1, 4, 4, 1, 4, 1, 4, 4, 4, 1, 1, 0, 0, 0], [0, 0, 1, 1, 4, 4, 1, 4, 1, 4, 4, 4, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 3:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 1, 1, 1, 1, 1, 8, 1, 1, 1, 8, 1, 1, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 0, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 9, 9, 1, 9, 9, 9], [0, 0, 9, 1, 9, 9, 0], [9, 0, 9, 1, 9, 9, 0], [0, 0, 0, 1, 9, 0, 0], [0, 9, 9, 1, 9, 9, 9]]\nOutput: [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 8, 8], [0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 1, 9, 0, 0], [9, 0, 9, 1, 9, 9, 9], [0, 9, 9, 1, 9, 9, 9], [0, 0, 0, 1, 9, 9, 9], [0, 9, 9, 1, 9, 9, 9]]\nOutput: [[0, 8, 8], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]]\nDemonstration 3:\nInput: [[9, 0, 0, 1, 9, 0, 9], [9, 0, 0, 1, 0, 9, 0], [9, 0, 0, 1, 9, 0, 0], [0, 9, 9, 1, 0, 9, 9], [0, 0, 9, 1, 0, 9, 0]]\nOutput: [[0, 8, 0], [0, 0, 8], [0, 8, 8], [8, 0, 0], [8, 0, 0]]\nDemonstration 4:\nInput: [[0, 9, 9, 1, 9, 0, 9], [9, 0, 0, 1, 9, 0, 0], [9, 9, 9, 1, 9, 9, 9], [0, 9, 0, 1, 0, 0, 0], [9, 0, 0, 1, 9, 0, 0]]\nOutput: [[0, 0, 0], [0, 8, 8], [0, 0, 0], [8, 0, 8], [0, 8, 8]]\nDemonstration 5:\nInput: [[0, 9, 9, 1, 9, 0, 9], [9, 0, 9, 1, 9, 9, 9], [9, 9, 9, 1, 0, 0, 9], [9, 0, 0, 1, 9, 0, 0], [9, 9, 9, 1, 0, 0, 9]]\nOutput: [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 8, 8], [0, 0, 0]]\nTest:\nInput: [[9, 9, 0, 1, 0, 9, 0], [0, 9, 9, 1, 0, 0, 0], [9, 9, 0, 1, 0, 9, 0], [9, 9, 9, 1, 9, 0, 9], [0, 9, 9, 1, 0, 9, 9]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 0, 8]",
"style": "rule"
}
|
{
"answer": "[0, 0, 8]",
"index": 8,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 9, 9, 1, 9, 9, 9], [0, 0, 9, 1, 9, 9, 0], [9, 0, 9, 1, 9, 9, 0], [0, 0, 0, 1, 9, 0, 0], [0, 9, 9, 1, 9, 9, 9]]\nOutput: [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 8, 8], [0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 1, 9, 0, 0], [9, 0, 9, 1, 9, 9, 9], [0, 9, 9, 1, 9, 9, 9], [0, 0, 0, 1, 9, 9, 9], [0, 9, 9, 1, 9, 9, 9]]\nOutput: [[0, 8, 8], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]]\nDemonstration 3:\nInput: [[9, 0, 0, 1, 9, 0, 9], [9, 0, 0, 1, 0, 9, 0], [9, 0, 0, 1, 9, 0, 0], [0, 9, 9, 1, 0, 9, 9], [0, 0, 9, 1, 0, 9, 0]]\nOutput: [[0, 8, 0], [0, 0, 8], [0, 8, 8], [8, 0, 0], [8, 0, 0]]\nDemonstration 4:\nInput: [[0, 9, 9, 1, 9, 0, 9], [9, 0, 0, 1, 9, 0, 0], [9, 9, 9, 1, 9, 9, 9], [0, 9, 0, 1, 0, 0, 0], [9, 0, 0, 1, 9, 0, 0]]\nOutput: [[0, 0, 0], [0, 8, 8], [0, 0, 0], [8, 0, 8], [0, 8, 8]]\nDemonstration 5:\nInput: [[0, 9, 9, 1, 9, 0, 9], [9, 0, 9, 1, 9, 9, 9], [9, 9, 9, 1, 0, 0, 9], [9, 0, 0, 1, 9, 0, 0], [9, 9, 9, 1, 0, 0, 9]]\nOutput: [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 8, 8], [0, 0, 0]]\nTest:\nInput: [[9, 9, 0, 1, 0, 9, 0], [0, 9, 9, 1, 0, 0, 0], [9, 9, 0, 1, 0, 9, 0], [9, 9, 9, 1, 9, 0, 9], [0, 9, 9, 1, 0, 9, 9]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4], [4, 2, 1, 3, 3, 3, 3, 3, 3, 1, 2, 4], [4, 2, 1, 3, 5, 5, 5, 5, 3, 1, 2, 4], [4, 2, 1, 3, 5, 8, 8, 5, 3, 1, 2, 4], [4, 2, 1, 3, 5, 8, 8, 5, 3, 1, 2, 4], [4, 2, 1, 3, 5, 5, 5, 5, 3, 1, 2, 4], [4, 2, 1, 3, 3, 3, 3, 3, 3, 1, 2, 4], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4], [4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]\nOutput: [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8], [8, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 8], [8, 5, 3, 1, 1, 1, 1, 1, 1, 3, 5, 8], [8, 5, 3, 1, 2, 2, 2, 2, 1, 3, 5, 8], [8, 5, 3, 1, 2, 4, 4, 2, 1, 3, 5, 8], [8, 5, 3, 1, 2, 4, 4, 2, 1, 3, 5, 8], [8, 5, 3, 1, 2, 2, 2, 2, 1, 3, 5, 8], [8, 5, 3, 1, 1, 1, 1, 1, 1, 3, 5, 8], [8, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 8], [8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]\nDemonstration 2:\nInput: [[2, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 2], [2, 1, 6, 6, 1, 2], [2, 1, 6, 6, 1, 2], [2, 1, 1, 1, 1, 2], [2, 2, 2, 2, 2, 2]]\nOutput: [[6, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6], [6, 1, 2, 2, 1, 6], [6, 1, 2, 2, 1, 6], [6, 1, 1, 1, 1, 6], [6, 6, 6, 6, 6, 6]]\nDemonstration 3:\nInput: [[8, 8, 8, 8, 8, 8, 8, 8], [8, 1, 1, 1, 1, 1, 1, 8], [8, 1, 2, 2, 2, 2, 1, 8], [8, 1, 2, 4, 4, 2, 1, 8], [8, 1, 2, 4, 4, 2, 1, 8], [8, 1, 2, 2, 2, 2, 1, 8], [8, 1, 1, 1, 1, 1, 1, 8], [8, 8, 8, 8, 8, 8, 8, 8]]\nOutput: [[4, 4, 4, 4, 4, 4, 4, 4], [4, 2, 2, 2, 2, 2, 2, 4], [4, 2, 1, 1, 1, 1, 2, 4], [4, 2, 1, 8, 8, 1, 2, 4], [4, 2, 1, 8, 8, 1, 2, 4], [4, 2, 1, 1, 1, 1, 2, 4], [4, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4]]\nDemonstration 4:\nInput: [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 2, 2, 2, 2, 2, 2, 2, 2, 7], [7, 2, 4, 4, 4, 4, 4, 4, 2, 7], [7, 2, 4, 1, 1, 1, 1, 4, 2, 7], [7, 2, 4, 1, 3, 3, 1, 4, 2, 7], [7, 2, 4, 1, 3, 3, 1, 4, 2, 7], [7, 2, 4, 1, 1, 1, 1, 4, 2, 7], [7, 2, 4, 4, 4, 4, 4, 4, 2, 7], [7, 2, 2, 2, 2, 2, 2, 2, 2, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nOutput: [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 1, 1, 1, 1, 1, 1, 1, 1, 3], [3, 1, 4, 4, 4, 4, 4, 4, 1, 3], [3, 1, 4, 2, 2, 2, 2, 4, 1, 3], [3, 1, 4, 2, 7, 7, 2, 4, 1, 3], [3, 1, 4, 2, 7, 7, 2, 4, 1, 3], [3, 1, 4, 2, 2, 2, 2, 4, 1, 3], [3, 1, 4, 4, 4, 4, 4, 4, 1, 3], [3, 1, 1, 1, 1, 1, 1, 1, 1, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]\nTest:\nInput: [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8], [8, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 8], [8, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 8], [8, 2, 4, 3, 7, 7, 7, 7, 7, 7, 3, 4, 2, 8], [8, 2, 4, 3, 7, 6, 6, 6, 6, 7, 3, 4, 2, 8], [8, 2, 4, 3, 7, 6, 5, 5, 6, 7, 3, 4, 2, 8], [8, 2, 4, 3, 7, 6, 5, 5, 6, 7, 3, 4, 2, 8], [8, 2, 4, 3, 7, 6, 6, 6, 6, 7, 3, 4, 2, 8], [8, 2, 4, 3, 7, 7, 7, 7, 7, 7, 3, 4, 2, 8], [8, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 8], [8, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 8], [8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]",
"style": "rule"
}
|
{
"answer": "[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]",
"index": 9,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4], [4, 2, 1, 3, 3, 3, 3, 3, 3, 1, 2, 4], [4, 2, 1, 3, 5, 5, 5, 5, 3, 1, 2, 4], [4, 2, 1, 3, 5, 8, 8, 5, 3, 1, 2, 4], [4, 2, 1, 3, 5, 8, 8, 5, 3, 1, 2, 4], [4, 2, 1, 3, 5, 5, 5, 5, 3, 1, 2, 4], [4, 2, 1, 3, 3, 3, 3, 3, 3, 1, 2, 4], [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4], [4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]\nOutput: [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8], [8, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 8], [8, 5, 3, 1, 1, 1, 1, 1, 1, 3, 5, 8], [8, 5, 3, 1, 2, 2, 2, 2, 1, 3, 5, 8], [8, 5, 3, 1, 2, 4, 4, 2, 1, 3, 5, 8], [8, 5, 3, 1, 2, 4, 4, 2, 1, 3, 5, 8], [8, 5, 3, 1, 2, 2, 2, 2, 1, 3, 5, 8], [8, 5, 3, 1, 1, 1, 1, 1, 1, 3, 5, 8], [8, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 8], [8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]\nDemonstration 2:\nInput: [[2, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 2], [2, 1, 6, 6, 1, 2], [2, 1, 6, 6, 1, 2], [2, 1, 1, 1, 1, 2], [2, 2, 2, 2, 2, 2]]\nOutput: [[6, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6], [6, 1, 2, 2, 1, 6], [6, 1, 2, 2, 1, 6], [6, 1, 1, 1, 1, 6], [6, 6, 6, 6, 6, 6]]\nDemonstration 3:\nInput: [[8, 8, 8, 8, 8, 8, 8, 8], [8, 1, 1, 1, 1, 1, 1, 8], [8, 1, 2, 2, 2, 2, 1, 8], [8, 1, 2, 4, 4, 2, 1, 8], [8, 1, 2, 4, 4, 2, 1, 8], [8, 1, 2, 2, 2, 2, 1, 8], [8, 1, 1, 1, 1, 1, 1, 8], [8, 8, 8, 8, 8, 8, 8, 8]]\nOutput: [[4, 4, 4, 4, 4, 4, 4, 4], [4, 2, 2, 2, 2, 2, 2, 4], [4, 2, 1, 1, 1, 1, 2, 4], [4, 2, 1, 8, 8, 1, 2, 4], [4, 2, 1, 8, 8, 1, 2, 4], [4, 2, 1, 1, 1, 1, 2, 4], [4, 2, 2, 2, 2, 2, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4]]\nDemonstration 4:\nInput: [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 2, 2, 2, 2, 2, 2, 2, 2, 7], [7, 2, 4, 4, 4, 4, 4, 4, 2, 7], [7, 2, 4, 1, 1, 1, 1, 4, 2, 7], [7, 2, 4, 1, 3, 3, 1, 4, 2, 7], [7, 2, 4, 1, 3, 3, 1, 4, 2, 7], [7, 2, 4, 1, 1, 1, 1, 4, 2, 7], [7, 2, 4, 4, 4, 4, 4, 4, 2, 7], [7, 2, 2, 2, 2, 2, 2, 2, 2, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nOutput: [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 1, 1, 1, 1, 1, 1, 1, 1, 3], [3, 1, 4, 4, 4, 4, 4, 4, 1, 3], [3, 1, 4, 2, 2, 2, 2, 4, 1, 3], [3, 1, 4, 2, 7, 7, 2, 4, 1, 3], [3, 1, 4, 2, 7, 7, 2, 4, 1, 3], [3, 1, 4, 2, 2, 2, 2, 4, 1, 3], [3, 1, 4, 4, 4, 4, 4, 4, 1, 3], [3, 1, 1, 1, 1, 1, 1, 1, 1, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]\nTest:\nInput: [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8], [8, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 8], [8, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 8], [8, 2, 4, 3, 7, 7, 7, 7, 7, 7, 3, 4, 2, 8], [8, 2, 4, 3, 7, 6, 6, 6, 6, 7, 3, 4, 2, 8], [8, 2, 4, 3, 7, 6, 5, 5, 6, 7, 3, 4, 2, 8], [8, 2, 4, 3, 7, 6, 5, 5, 6, 7, 3, 4, 2, 8], [8, 2, 4, 3, 7, 6, 6, 6, 6, 7, 3, 4, 2, 8], [8, 2, 4, 3, 7, 7, 7, 7, 7, 7, 3, 4, 2, 8], [8, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 8], [8, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 8], [8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 1, 1, 4, 0, 2, 0, 0, 0, 0, 2, 0, 5], [0, 0, 0, 3, 5, 0, 0, 0, 9, 9, 8, 0, 4, 0, 5, 8], [1, 0, 8, 2, 8, 0, 0, 6, 0, 8, 5, 0, 0, 0, 8, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 1, 2, 2, 2, 0, 0, 1, 9, 5, 0, 0, 2, 0, 4], [0, 4, 0, 2, 2, 2, 0, 2, 0, 0, 7, 0, 0, 0, 0, 0], [3, 0, 6, 2, 2, 2, 0, 0, 0, 3, 5, 0, 7, 0, 0, 0], [7, 0, 4, 6, 0, 0, 4, 7, 7, 3, 0, 2, 0, 0, 7, 1], [0, 7, 0, 0, 0, 0, 0, 9, 7, 7, 0, 0, 0, 8, 5, 2], [1, 5, 6, 4, 9, 3, 0, 3, 0, 0, 0, 0, 0, 9, 4, 6], [0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 6, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0], [0, 3, 0, 0, 7, 0, 2, 0, 7, 9, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 6, 5, 3, 0], [1, 0, 0, 9, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 9, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 7, 0, 0, 6, 0, 6, 0, 0, 0, 7, 3, 0, 0, 0], [0, 0, 3, 0, 0, 1, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 3, 9, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8], [2, 2, 0, 2, 9, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0], [0, 5, 2, 0, 0, 7, 0, 6, 0, 0, 0, 3, 0, 0, 1, 0], [4, 4, 0, 3, 9, 0, 0, 0, 0, 7, 0, 2, 0, 0, 0, 0], [8, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, 0, 3, 0, 0, 0], [0, 9, 0, 0, 0, 4, 8, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 9, 5, 0, 0, 0, 0, 4, 6, 0, 1, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 8, 0, 5, 9, 4], [0, 9, 3, 9, 0, 3, 0, 0, 5, 6, 7, 0, 5, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 7, 0, 0], [0, 4, 6, 6, 6, 6, 6, 6, 6, 0, 0, 4, 4, 6, 0, 2], [0, 5, 0, 0, 0, 0, 4, 5, 3, 0, 8, 0, 0, 0, 6, 9], [0, 0, 9, 7, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 7, 1], [0, 8, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 3, 8, 7, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 3:\nInput: [[3, 0, 0, 0, 0, 0, 6, 2, 0, 0, 0, 5, 0, 0, 0, 3], [0, 7, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 8, 8, 0, 7, 7, 7, 0, 0, 0, 0, 4], [0, 2, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 2, 0, 5, 0], [0, 8, 0, 0, 9, 6, 1, 7, 7, 7, 7, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 3, 6, 0, 6, 0, 0, 3, 3, 0, 0, 0], [0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 8, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 6, 0, 9, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 1, 0, 0, 3, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 5, 0, 0], [4, 0, 0, 1, 7, 0, 3, 0, 0, 7, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 2, 0, 0, 5, 0, 0, 1, 0, 4], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 7, 9, 0, 0, 0, 5, 0, 2, 0, 3, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 1, 7, 3, 0, 0, 0, 0, 0, 1, 2, 0, 4, 7, 0], [0, 0, 0, 3, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 8, 0, 1, 0, 0, 1, 0, 0, 0, 7, 0, 4, 8], [0, 3, 8, 0, 0, 0, 3, 0, 8, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 1, 0, 0, 8, 0, 0, 3, 8, 0, 0, 5, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 5, 0, 7], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 2, 7, 0, 7, 0, 0], [9, 4, 0, 2, 1, 0, 0, 0, 0, 0, 7, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5], [0, 8, 9, 4, 0, 5, 5, 5, 5, 5, 5, 3, 0, 0, 0, 0], [0, 0, 3, 0, 6, 5, 5, 5, 5, 5, 5, 0, 1, 4, 0, 0], [9, 5, 2, 0, 0, 5, 1, 3, 0, 0, 6, 2, 0, 0, 1, 5], [0, 7, 0, 0, 0, 0, 1, 6, 0, 7, 0, 3, 0, 6, 0, 0], [0, 0, 9, 0, 0, 3, 7, 7, 0, 6, 0, 0, 8, 0, 0, 0], [5, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 9]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]",
"style": "rule"
}
|
{
"answer": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]",
"index": 10,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 1, 1, 4, 0, 2, 0, 0, 0, 0, 2, 0, 5], [0, 0, 0, 3, 5, 0, 0, 0, 9, 9, 8, 0, 4, 0, 5, 8], [1, 0, 8, 2, 8, 0, 0, 6, 0, 8, 5, 0, 0, 0, 8, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 1, 2, 2, 2, 0, 0, 1, 9, 5, 0, 0, 2, 0, 4], [0, 4, 0, 2, 2, 2, 0, 2, 0, 0, 7, 0, 0, 0, 0, 0], [3, 0, 6, 2, 2, 2, 0, 0, 0, 3, 5, 0, 7, 0, 0, 0], [7, 0, 4, 6, 0, 0, 4, 7, 7, 3, 0, 2, 0, 0, 7, 1], [0, 7, 0, 0, 0, 0, 0, 9, 7, 7, 0, 0, 0, 8, 5, 2], [1, 5, 6, 4, 9, 3, 0, 3, 0, 0, 0, 0, 0, 9, 4, 6], [0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 6, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0], [0, 3, 0, 0, 7, 0, 2, 0, 7, 9, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 6, 5, 3, 0], [1, 0, 0, 9, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 9, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 7, 0, 0, 6, 0, 6, 0, 0, 0, 7, 3, 0, 0, 0], [0, 0, 3, 0, 0, 1, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 3, 9, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8], [2, 2, 0, 2, 9, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0], [0, 5, 2, 0, 0, 7, 0, 6, 0, 0, 0, 3, 0, 0, 1, 0], [4, 4, 0, 3, 9, 0, 0, 0, 0, 7, 0, 2, 0, 0, 0, 0], [8, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, 0, 3, 0, 0, 0], [0, 9, 0, 0, 0, 4, 8, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 9, 5, 0, 0, 0, 0, 4, 6, 0, 1, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 8, 0, 5, 9, 4], [0, 9, 3, 9, 0, 3, 0, 0, 5, 6, 7, 0, 5, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 7, 0, 0], [0, 4, 6, 6, 6, 6, 6, 6, 6, 0, 0, 4, 4, 6, 0, 2], [0, 5, 0, 0, 0, 0, 4, 5, 3, 0, 8, 0, 0, 0, 6, 9], [0, 0, 9, 7, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 7, 1], [0, 8, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 3, 8, 7, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 3:\nInput: [[3, 0, 0, 0, 0, 0, 6, 2, 0, 0, 0, 5, 0, 0, 0, 3], [0, 7, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 8, 8, 0, 7, 7, 7, 0, 0, 0, 0, 4], [0, 2, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 2, 0, 5, 0], [0, 8, 0, 0, 9, 6, 1, 7, 7, 7, 7, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 3, 6, 0, 6, 0, 0, 3, 3, 0, 0, 0], [0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 8, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 6, 0, 9, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 1, 0, 0, 3, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 5, 0, 0], [4, 0, 0, 1, 7, 0, 3, 0, 0, 7, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 2, 0, 0, 5, 0, 0, 1, 0, 4], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 7, 9, 0, 0, 0, 5, 0, 2, 0, 3, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 1, 7, 3, 0, 0, 0, 0, 0, 1, 2, 0, 4, 7, 0], [0, 0, 0, 3, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 8, 0, 1, 0, 0, 1, 0, 0, 0, 7, 0, 4, 8], [0, 3, 8, 0, 0, 0, 3, 0, 8, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 1, 0, 0, 8, 0, 0, 3, 8, 0, 0, 5, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 5, 0, 7], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 2, 7, 0, 7, 0, 0], [9, 4, 0, 2, 1, 0, 0, 0, 0, 0, 7, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5], [0, 8, 9, 4, 0, 5, 5, 5, 5, 5, 5, 3, 0, 0, 0, 0], [0, 0, 3, 0, 6, 5, 5, 5, 5, 5, 5, 0, 1, 4, 0, 0], [9, 5, 2, 0, 0, 5, 1, 3, 0, 0, 6, 2, 0, 0, 1, 5], [0, 7, 0, 0, 0, 0, 1, 6, 0, 7, 0, 3, 0, 6, 0, 0], [0, 0, 9, 0, 0, 3, 7, 7, 0, 6, 0, 0, 8, 0, 0, 0], [5, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 9]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[2, 0, 4, 0, 8, 0], [0, 3, 0, 8, 8, 8], [0, 0, 0, 0, 8, 0]]\nOutput: [[0, 2, 0, 0, 0, 0, 0, 4, 0], [2, 2, 2, 0, 0, 0, 4, 4, 4], [0, 2, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 8, 0, 4, 0], [8, 0, 0, 1, 2, 4], [8, 8, 0, 0, 1, 0]]\nOutput: [[0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 1, 0, 0, 2, 0, 0, 4], [1, 0, 0, 2, 0, 0, 4, 0, 0], [1, 1, 0, 2, 2, 0, 4, 4, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0]]\nDemonstration 3:\nInput: [[2, 0, 0, 4, 0, 0, 8, 0], [0, 2, 4, 0, 8, 8, 8, 8], [0, 4, 2, 0, 0, 0, 8, 0], [4, 0, 0, 2, 0, 0, 8, 0]]\nOutput: [[0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0]]\nTest:\nInput: [[3, 0, 0, 1], [0, 2, 2, 0], [0, 2, 2, 0], [3, 0, 0, 3], [0, 8, 8, 0], [8, 8, 8, 8], [8, 0, 0, 8], [8, 8, 8, 8]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0]",
"style": "rule"
}
|
{
"answer": "[0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0]",
"index": 11,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[2, 0, 4, 0, 8, 0], [0, 3, 0, 8, 8, 8], [0, 0, 0, 0, 8, 0]]\nOutput: [[0, 2, 0, 0, 0, 0, 0, 4, 0], [2, 2, 2, 0, 0, 0, 4, 4, 4], [0, 2, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 8, 0, 4, 0], [8, 0, 0, 1, 2, 4], [8, 8, 0, 0, 1, 0]]\nOutput: [[0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 1, 0, 0, 2, 0, 0, 4], [1, 0, 0, 2, 0, 0, 4, 0, 0], [1, 1, 0, 2, 2, 0, 4, 4, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0]]\nDemonstration 3:\nInput: [[2, 0, 0, 4, 0, 0, 8, 0], [0, 2, 4, 0, 8, 8, 8, 8], [0, 4, 2, 0, 0, 0, 8, 0], [4, 0, 0, 2, 0, 0, 8, 0]]\nOutput: [[0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0]]\nTest:\nInput: [[3, 0, 0, 1], [0, 2, 2, 0], [0, 2, 2, 0], [3, 0, 0, 3], [0, 8, 8, 0], [8, 8, 8, 8], [8, 0, 0, 8], [8, 8, 8, 8]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 0], [0, 6, 0, 0, 0, 6, 0], [0, 6, 6, 6, 6, 6, 0]]\nOutput: [[0, 0, 0, 4, 0, 0, 0], [4, 0, 0, 4, 0, 0, 4], [0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 4, 4, 0, 0], [0, 6, 6, 4, 6, 6, 0], [0, 6, 4, 4, 4, 6, 0], [0, 6, 6, 6, 6, 6, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 0, 7, 7, 7, 7, 7]]\nOutput: [[4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 7, 7, 7, 7, 7], [0, 0, 0, 4, 7, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 7], [0, 0, 0, 4, 7, 4, 4, 4, 7], [0, 0, 4, 0, 7, 7, 7, 7, 7]]\nDemonstration 3:\nInput: [[3, 3, 3, 3, 3, 3], [3, 0, 0, 0, 0, 3], [3, 0, 0, 0, 0, 3], [3, 3, 0, 0, 3, 3], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[3, 3, 3, 3, 3, 3], [3, 4, 4, 4, 4, 3], [3, 4, 4, 4, 4, 3], [3, 3, 4, 4, 3, 3], [0, 4, 4, 4, 4, 0], [4, 0, 4, 4, 0, 4]]\nTest:\nInput: [[0, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 2, 2, 2, 2, 0, 4, 0, 0, 0]",
"style": "rule"
}
|
{
"answer": "[0, 2, 2, 2, 2, 0, 4, 0, 0, 0]",
"index": 12,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 0], [0, 6, 0, 0, 0, 6, 0], [0, 6, 6, 6, 6, 6, 0]]\nOutput: [[0, 0, 0, 4, 0, 0, 0], [4, 0, 0, 4, 0, 0, 4], [0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 4, 4, 0, 0], [0, 6, 6, 4, 6, 6, 0], [0, 6, 4, 4, 4, 6, 0], [0, 6, 6, 6, 6, 6, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 0, 7, 7, 7, 7, 7]]\nOutput: [[4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 7, 7, 7, 7, 7], [0, 0, 0, 4, 7, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 7], [4, 4, 4, 4, 4, 4, 4, 4, 7], [0, 0, 0, 4, 7, 4, 4, 4, 7], [0, 0, 4, 0, 7, 7, 7, 7, 7]]\nDemonstration 3:\nInput: [[3, 3, 3, 3, 3, 3], [3, 0, 0, 0, 0, 3], [3, 0, 0, 0, 0, 3], [3, 3, 0, 0, 3, 3], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[3, 3, 3, 3, 3, 3], [3, 4, 4, 4, 4, 3], [3, 4, 4, 4, 4, 3], [3, 3, 4, 4, 3, 3], [0, 4, 4, 4, 4, 0], [4, 0, 4, 4, 0, 4]]\nTest:\nInput: [[0, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[3, 3, 3, 0, 0, 0, 8, 8, 8], [3, 3, 3, 0, 0, 0, 8, 5, 8], [3, 3, 3, 0, 0, 0, 8, 8, 8], [0, 0, 0, 7, 5, 7, 0, 0, 0], [0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 7, 7, 7, 0, 0, 0], [6, 6, 6, 0, 0, 5, 9, 9, 9], [6, 6, 6, 0, 0, 0, 9, 9, 9], [6, 5, 6, 0, 5, 0, 9, 9, 5]]\nOutput: [[3, 0, 8], [0, 7, 0], [6, 0, 9]]\nDemonstration 2:\nInput: [[0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 5, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 7, 7, 5, 0, 0, 0], [0, 0, 0, 7, 7, 7, 0, 0, 0]]\nOutput: [[0, 2, 0], [0, 0, 0], [0, 7, 0]]\nTest:\nInput: [[4, 4, 4, 0, 0, 0, 0, 5, 0], [5, 4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 0, 5, 0, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 5, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0], [0, 0, 5, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 5, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[4, 0, 0]",
"style": "rule"
}
|
{
"answer": "[4, 0, 0]",
"index": 13,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[3, 3, 3, 0, 0, 0, 8, 8, 8], [3, 3, 3, 0, 0, 0, 8, 5, 8], [3, 3, 3, 0, 0, 0, 8, 8, 8], [0, 0, 0, 7, 5, 7, 0, 0, 0], [0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 7, 7, 7, 0, 0, 0], [6, 6, 6, 0, 0, 5, 9, 9, 9], [6, 6, 6, 0, 0, 0, 9, 9, 9], [6, 5, 6, 0, 5, 0, 9, 9, 5]]\nOutput: [[3, 0, 8], [0, 7, 0], [6, 0, 9]]\nDemonstration 2:\nInput: [[0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 5, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 7, 7, 5, 0, 0, 0], [0, 0, 0, 7, 7, 7, 0, 0, 0]]\nOutput: [[0, 2, 0], [0, 0, 0], [0, 7, 0]]\nTest:\nInput: [[4, 4, 4, 0, 0, 0, 0, 5, 0], [5, 4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 0, 5, 0, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 5, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0], [0, 0, 5, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 5, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 5, 0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0]]\nOutput: [[0, 1, 0], [1, 1, 1], [0, 1, 1]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[4, 4, 0], [0, 0, 4], [0, 4, 0]]\nDemonstration 3:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 2, 2], [2, 2, 0], [0, 2, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 3, 0]",
"style": "rule"
}
|
{
"answer": "[0, 3, 0]",
"index": 14,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 5, 0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0]]\nOutput: [[0, 1, 0], [1, 1, 1], [0, 1, 1]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[4, 4, 0], [0, 0, 4], [0, 4, 0]]\nDemonstration 3:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 2, 2], [2, 2, 0], [0, 2, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 7, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 3, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 0, 4, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 7, 0, 0, 0, 0, 4, 0, 0, 0, 8, 7, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 3, 0, 4, 0, 0, 0, 0, 8, 0, 0, 3, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 4, 0, 7, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 0, 4, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 7, 0, 0, 0, 0, 4, 0, 0, 0, 8, 7, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 3, 0, 4, 0, 0, 0, 0, 8, 0, 0, 3, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 4, 0, 7, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 2, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 2, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 2, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 3, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 6, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0]",
"style": "rule"
}
|
{
"answer": "[0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0]",
"index": 15,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 7, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 3, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 0, 4, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 7, 0, 0, 0, 0, 4, 0, 0, 0, 8, 7, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 3, 0, 4, 0, 0, 0, 0, 8, 0, 0, 3, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 4, 0, 7, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 0, 4, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 7, 0, 0, 0, 0, 4, 0, 0, 0, 8, 7, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 3, 0, 4, 0, 0, 0, 0, 8, 0, 0, 3, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 4, 0, 7, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 2, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 2, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 2, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 3, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 6, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 1, 5, 1, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 1, 5, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 0], [1, 5, 1, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 1, 1, 1, 0, 1, 5, 1], [0, 0, 1, 5, 1, 0, 1, 1, 1], [0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 1, 5, 1], [0, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 1, 5, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[1, 1, 1, 0, 0, 0, 0, 0, 0]",
"style": "rule"
}
|
{
"answer": "[1, 1, 1, 0, 0, 0, 0, 0, 0]",
"index": 16,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 1, 5, 1, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 1, 5, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 0], [1, 5, 1, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 1, 1, 1, 0, 1, 5, 1], [0, 0, 1, 5, 1, 0, 1, 1, 1], [0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 1, 5, 1], [0, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 1, 5, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[3, 8, 8, 0, 3, 8, 8, 0, 8, 0, 3, 1, 1, 1, 8, 8, 0, 3, 8, 3, 8], [3, 3, 0, 0, 5, 3, 0, 3, 8, 0, 3, 3, 8, 1, 1, 8, 1, 3, 1, 8, 3], [1, 5, 1, 3, 1, 1, 8, 3, 0, 0, 3, 8, 3, 0, 1, 0, 8, 8, 5, 5, 0], [5, 3, 0, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 3, 0, 0, 3], [0, 1, 3, 3, 2, 0, 0, 8, 0, 3, 3, 3, 3, 2, 0, 0, 8, 0, 3, 3, 1], [8, 0, 0, 8, 2, 1, 0, 0, 0, 3, 0, 3, 1, 2, 0, 0, 0, 8, 0, 1, 0], [1, 1, 5, 0, 2, 3, 3, 0, 3, 3, 0, 8, 1, 2, 1, 0, 8, 3, 1, 0, 0], [0, 0, 8, 8, 2, 3, 3, 5, 1, 0, 3, 0, 0, 2, 1, 0, 5, 0, 3, 0, 1], [0, 1, 0, 0, 2, 5, 1, 3, 0, 1, 3, 1, 1, 2, 8, 8, 0, 5, 0, 3, 8], [8, 3, 3, 3, 2, 5, 0, 8, 0, 3, 0, 8, 8, 2, 3, 3, 0, 0, 3, 3, 8], [1, 1, 1, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 8, 1, 3, 0, 0], [3, 3, 3, 0, 8, 8, 0, 8, 3, 0, 8, 8, 3, 0, 3, 0, 8, 1, 0, 1, 0], [8, 0, 0, 3, 3, 0, 8, 3, 0, 3, 3, 0, 1, 3, 3, 1, 8, 0, 0, 3, 8], [5, 1, 5, 1, 8, 3, 5, 0, 8, 3, 3, 8, 1, 8, 0, 0, 0, 3, 0, 0, 5], [1, 3, 1, 0, 1, 3, 1, 0, 5, 0, 3, 3, 8, 0, 8, 3, 8, 8, 8, 0, 0], [5, 3, 3, 3, 3, 8, 8, 0, 1, 1, 0, 8, 5, 1, 3, 0, 0, 8, 3, 1, 0], [3, 1, 3, 3, 8, 0, 3, 8, 0, 3, 1, 8, 3, 1, 8, 1, 1, 3, 8, 1, 0], [0, 3, 8, 3, 3, 0, 1, 3, 0, 3, 8, 5, 3, 0, 3, 1, 0, 3, 0, 0, 8], [3, 8, 3, 0, 1, 3, 8, 0, 1, 3, 8, 1, 0, 1, 1, 8, 5, 8, 3, 1, 1], [1, 5, 1, 3, 3, 1, 5, 3, 3, 1, 1, 3, 5, 0, 8, 8, 1, 1, 8, 0, 8], [1, 3, 0, 1, 3, 3, 1, 0, 0, 1, 5, 8, 3, 5, 3, 8, 0, 3, 8, 3, 8], [3, 1, 3, 0, 8, 0, 8, 0, 0, 1, 3, 1, 1, 0, 8, 8, 5, 1, 0, 1, 8], [3, 3, 1, 0, 3, 1, 8, 8, 0, 0, 5, 1, 8, 8, 1, 3, 3, 5, 3, 5, 8]]\nOutput: [[0, 0, 8, 0, 3, 3, 3, 3], [1, 0, 0, 0, 3, 0, 3, 1], [3, 3, 0, 3, 3, 0, 8, 1], [3, 3, 5, 1, 0, 3, 0, 0], [5, 1, 3, 0, 1, 3, 1, 1], [5, 0, 8, 0, 3, 0, 8, 8]]\nDemonstration 2:\nInput: [[0, 6, 9, 6, 6, 0, 6, 3, 6, 9, 6, 6, 6, 9, 9, 0], [9, 9, 0, 6, 6, 0, 0, 9, 3, 6, 6, 6, 9, 9, 0, 6], [6, 0, 9, 0, 0, 6, 0, 6, 6, 0, 3, 0, 0, 6, 0, 0], [9, 6, 6, 9, 9, 9, 6, 3, 6, 9, 9, 6, 6, 3, 6, 6], [6, 6, 0, 0, 6, 6, 9, 0, 0, 3, 0, 0, 0, 0, 0, 9], [9, 9, 6, 0, 0, 9, 0, 0, 3, 9, 3, 0, 0, 0, 9, 0], [3, 6, 4, 4, 4, 4, 4, 6, 0, 0, 0, 9, 0, 0, 0, 9], [9, 0, 4, 3, 3, 0, 4, 0, 0, 6, 0, 0, 9, 6, 9, 3], [9, 0, 4, 9, 3, 9, 4, 9, 0, 0, 3, 9, 0, 0, 9, 3], [6, 9, 4, 6, 6, 0, 4, 3, 9, 6, 0, 6, 0, 9, 3, 0], [3, 3, 4, 9, 0, 0, 4, 9, 0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 4, 6, 3, 9, 4, 6, 0, 9, 0, 9, 0, 0, 0, 0], [9, 9, 4, 4, 4, 4, 4, 9, 9, 0, 9, 9, 0, 0, 0, 6]]\nOutput: [[3, 3, 0], [9, 3, 9], [6, 6, 0], [9, 0, 0], [6, 3, 9]]\nDemonstration 3:\nInput: [[2, 5, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 5, 3, 5], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 5, 3, 0, 3, 2, 0, 5], [0, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 0, 0], [2, 0, 2, 8, 0, 0, 5, 3, 3, 3, 2, 2, 5, 0, 8, 2, 5, 5], [5, 0, 3, 8, 3, 0, 0, 5, 5, 5, 5, 2, 0, 5, 8, 3, 3, 3], [0, 5, 5, 8, 3, 5, 0, 2, 0, 3, 0, 5, 3, 0, 8, 0, 2, 5], [5, 2, 2, 8, 3, 2, 5, 5, 0, 5, 3, 0, 5, 0, 8, 0, 0, 0], [0, 0, 0, 8, 5, 2, 5, 2, 5, 0, 2, 2, 2, 2, 8, 2, 0, 5], [5, 0, 5, 8, 0, 5, 2, 5, 0, 0, 0, 0, 3, 3, 8, 0, 0, 5], [3, 0, 0, 8, 2, 3, 2, 3, 0, 0, 5, 0, 5, 0, 8, 3, 2, 0], [3, 5, 0, 8, 3, 2, 5, 0, 5, 0, 0, 0, 5, 5, 8, 0, 0, 2], [3, 3, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 2, 0], [5, 0, 0, 3, 0, 3, 3, 5, 2, 5, 0, 0, 0, 0, 0, 5, 0, 0], [2, 5, 2, 5, 2, 2, 0, 0, 0, 5, 2, 0, 2, 0, 3, 0, 3, 0], [0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 3, 3, 2, 0, 2, 5, 2, 5], [3, 0, 0, 0, 0, 5, 3, 0, 0, 0, 2, 2, 5, 0, 2, 3, 2, 0], [0, 0, 2, 5, 0, 5, 0, 3, 0, 0, 0, 0, 2, 3, 3, 5, 2, 3]]\nOutput: [[0, 0, 5, 3, 3, 3, 2, 2, 5, 0], [3, 0, 0, 5, 5, 5, 5, 2, 0, 5], [3, 5, 0, 2, 0, 3, 0, 5, 3, 0], [3, 2, 5, 5, 0, 5, 3, 0, 5, 0], [5, 2, 5, 2, 5, 0, 2, 2, 2, 2], [0, 5, 2, 5, 0, 0, 0, 0, 3, 3], [2, 3, 2, 3, 0, 0, 5, 0, 5, 0], [3, 2, 5, 0, 5, 0, 0, 0, 5, 5]]\nTest:\nInput: [[0, 0, 0, 8, 1, 1, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8], [0, 1, 0, 8, 8, 1, 0, 1, 1, 2, 8, 1, 1, 2, 0, 2], [0, 0, 8, 8, 1, 1, 8, 8, 1, 1, 8, 0, 8, 0, 0, 1], [1, 0, 1, 0, 8, 0, 1, 8, 1, 0, 1, 1, 8, 8, 8, 0], [8, 0, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2], [1, 0, 8, 3, 2, 0, 8, 1, 1, 1, 0, 1, 0, 3, 0, 0], [0, 8, 8, 3, 8, 1, 0, 8, 2, 8, 1, 2, 8, 3, 1, 8], [1, 0, 8, 3, 8, 2, 0, 2, 0, 1, 1, 8, 1, 3, 8, 8], [0, 8, 0, 3, 0, 1, 8, 8, 1, 1, 8, 1, 8, 3, 2, 1], [1, 0, 0, 3, 0, 1, 8, 8, 0, 8, 0, 2, 0, 3, 8, 1], [0, 8, 8, 3, 0, 8, 8, 2, 8, 8, 8, 8, 8, 3, 8, 8], [1, 1, 1, 3, 8, 0, 2, 0, 0, 0, 0, 8, 8, 3, 8, 0], [1, 8, 0, 3, 0, 2, 8, 8, 1, 2, 0, 0, 2, 3, 8, 1], [8, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2], [8, 1, 0, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 8, 1, 8], [8, 1, 0, 0, 1, 1, 8, 0, 1, 2, 8, 1, 0, 1, 2, 0], [8, 0, 8, 2, 8, 0, 8, 2, 0, 1, 8, 1, 8, 1, 8, 8]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[2, 0, 8, 1, 1, 1, 0, 1, 0]",
"style": "rule"
}
|
{
"answer": "[2, 0, 8, 1, 1, 1, 0, 1, 0]",
"index": 17,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[3, 8, 8, 0, 3, 8, 8, 0, 8, 0, 3, 1, 1, 1, 8, 8, 0, 3, 8, 3, 8], [3, 3, 0, 0, 5, 3, 0, 3, 8, 0, 3, 3, 8, 1, 1, 8, 1, 3, 1, 8, 3], [1, 5, 1, 3, 1, 1, 8, 3, 0, 0, 3, 8, 3, 0, 1, 0, 8, 8, 5, 5, 0], [5, 3, 0, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 3, 0, 0, 3], [0, 1, 3, 3, 2, 0, 0, 8, 0, 3, 3, 3, 3, 2, 0, 0, 8, 0, 3, 3, 1], [8, 0, 0, 8, 2, 1, 0, 0, 0, 3, 0, 3, 1, 2, 0, 0, 0, 8, 0, 1, 0], [1, 1, 5, 0, 2, 3, 3, 0, 3, 3, 0, 8, 1, 2, 1, 0, 8, 3, 1, 0, 0], [0, 0, 8, 8, 2, 3, 3, 5, 1, 0, 3, 0, 0, 2, 1, 0, 5, 0, 3, 0, 1], [0, 1, 0, 0, 2, 5, 1, 3, 0, 1, 3, 1, 1, 2, 8, 8, 0, 5, 0, 3, 8], [8, 3, 3, 3, 2, 5, 0, 8, 0, 3, 0, 8, 8, 2, 3, 3, 0, 0, 3, 3, 8], [1, 1, 1, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 8, 1, 3, 0, 0], [3, 3, 3, 0, 8, 8, 0, 8, 3, 0, 8, 8, 3, 0, 3, 0, 8, 1, 0, 1, 0], [8, 0, 0, 3, 3, 0, 8, 3, 0, 3, 3, 0, 1, 3, 3, 1, 8, 0, 0, 3, 8], [5, 1, 5, 1, 8, 3, 5, 0, 8, 3, 3, 8, 1, 8, 0, 0, 0, 3, 0, 0, 5], [1, 3, 1, 0, 1, 3, 1, 0, 5, 0, 3, 3, 8, 0, 8, 3, 8, 8, 8, 0, 0], [5, 3, 3, 3, 3, 8, 8, 0, 1, 1, 0, 8, 5, 1, 3, 0, 0, 8, 3, 1, 0], [3, 1, 3, 3, 8, 0, 3, 8, 0, 3, 1, 8, 3, 1, 8, 1, 1, 3, 8, 1, 0], [0, 3, 8, 3, 3, 0, 1, 3, 0, 3, 8, 5, 3, 0, 3, 1, 0, 3, 0, 0, 8], [3, 8, 3, 0, 1, 3, 8, 0, 1, 3, 8, 1, 0, 1, 1, 8, 5, 8, 3, 1, 1], [1, 5, 1, 3, 3, 1, 5, 3, 3, 1, 1, 3, 5, 0, 8, 8, 1, 1, 8, 0, 8], [1, 3, 0, 1, 3, 3, 1, 0, 0, 1, 5, 8, 3, 5, 3, 8, 0, 3, 8, 3, 8], [3, 1, 3, 0, 8, 0, 8, 0, 0, 1, 3, 1, 1, 0, 8, 8, 5, 1, 0, 1, 8], [3, 3, 1, 0, 3, 1, 8, 8, 0, 0, 5, 1, 8, 8, 1, 3, 3, 5, 3, 5, 8]]\nOutput: [[0, 0, 8, 0, 3, 3, 3, 3], [1, 0, 0, 0, 3, 0, 3, 1], [3, 3, 0, 3, 3, 0, 8, 1], [3, 3, 5, 1, 0, 3, 0, 0], [5, 1, 3, 0, 1, 3, 1, 1], [5, 0, 8, 0, 3, 0, 8, 8]]\nDemonstration 2:\nInput: [[0, 6, 9, 6, 6, 0, 6, 3, 6, 9, 6, 6, 6, 9, 9, 0], [9, 9, 0, 6, 6, 0, 0, 9, 3, 6, 6, 6, 9, 9, 0, 6], [6, 0, 9, 0, 0, 6, 0, 6, 6, 0, 3, 0, 0, 6, 0, 0], [9, 6, 6, 9, 9, 9, 6, 3, 6, 9, 9, 6, 6, 3, 6, 6], [6, 6, 0, 0, 6, 6, 9, 0, 0, 3, 0, 0, 0, 0, 0, 9], [9, 9, 6, 0, 0, 9, 0, 0, 3, 9, 3, 0, 0, 0, 9, 0], [3, 6, 4, 4, 4, 4, 4, 6, 0, 0, 0, 9, 0, 0, 0, 9], [9, 0, 4, 3, 3, 0, 4, 0, 0, 6, 0, 0, 9, 6, 9, 3], [9, 0, 4, 9, 3, 9, 4, 9, 0, 0, 3, 9, 0, 0, 9, 3], [6, 9, 4, 6, 6, 0, 4, 3, 9, 6, 0, 6, 0, 9, 3, 0], [3, 3, 4, 9, 0, 0, 4, 9, 0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 4, 6, 3, 9, 4, 6, 0, 9, 0, 9, 0, 0, 0, 0], [9, 9, 4, 4, 4, 4, 4, 9, 9, 0, 9, 9, 0, 0, 0, 6]]\nOutput: [[3, 3, 0], [9, 3, 9], [6, 6, 0], [9, 0, 0], [6, 3, 9]]\nDemonstration 3:\nInput: [[2, 5, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 5, 3, 5], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 5, 3, 0, 3, 2, 0, 5], [0, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 0, 0], [2, 0, 2, 8, 0, 0, 5, 3, 3, 3, 2, 2, 5, 0, 8, 2, 5, 5], [5, 0, 3, 8, 3, 0, 0, 5, 5, 5, 5, 2, 0, 5, 8, 3, 3, 3], [0, 5, 5, 8, 3, 5, 0, 2, 0, 3, 0, 5, 3, 0, 8, 0, 2, 5], [5, 2, 2, 8, 3, 2, 5, 5, 0, 5, 3, 0, 5, 0, 8, 0, 0, 0], [0, 0, 0, 8, 5, 2, 5, 2, 5, 0, 2, 2, 2, 2, 8, 2, 0, 5], [5, 0, 5, 8, 0, 5, 2, 5, 0, 0, 0, 0, 3, 3, 8, 0, 0, 5], [3, 0, 0, 8, 2, 3, 2, 3, 0, 0, 5, 0, 5, 0, 8, 3, 2, 0], [3, 5, 0, 8, 3, 2, 5, 0, 5, 0, 0, 0, 5, 5, 8, 0, 0, 2], [3, 3, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 2, 0], [5, 0, 0, 3, 0, 3, 3, 5, 2, 5, 0, 0, 0, 0, 0, 5, 0, 0], [2, 5, 2, 5, 2, 2, 0, 0, 0, 5, 2, 0, 2, 0, 3, 0, 3, 0], [0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 3, 3, 2, 0, 2, 5, 2, 5], [3, 0, 0, 0, 0, 5, 3, 0, 0, 0, 2, 2, 5, 0, 2, 3, 2, 0], [0, 0, 2, 5, 0, 5, 0, 3, 0, 0, 0, 0, 2, 3, 3, 5, 2, 3]]\nOutput: [[0, 0, 5, 3, 3, 3, 2, 2, 5, 0], [3, 0, 0, 5, 5, 5, 5, 2, 0, 5], [3, 5, 0, 2, 0, 3, 0, 5, 3, 0], [3, 2, 5, 5, 0, 5, 3, 0, 5, 0], [5, 2, 5, 2, 5, 0, 2, 2, 2, 2], [0, 5, 2, 5, 0, 0, 0, 0, 3, 3], [2, 3, 2, 3, 0, 0, 5, 0, 5, 0], [3, 2, 5, 0, 5, 0, 0, 0, 5, 5]]\nTest:\nInput: [[0, 0, 0, 8, 1, 1, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8], [0, 1, 0, 8, 8, 1, 0, 1, 1, 2, 8, 1, 1, 2, 0, 2], [0, 0, 8, 8, 1, 1, 8, 8, 1, 1, 8, 0, 8, 0, 0, 1], [1, 0, 1, 0, 8, 0, 1, 8, 1, 0, 1, 1, 8, 8, 8, 0], [8, 0, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2], [1, 0, 8, 3, 2, 0, 8, 1, 1, 1, 0, 1, 0, 3, 0, 0], [0, 8, 8, 3, 8, 1, 0, 8, 2, 8, 1, 2, 8, 3, 1, 8], [1, 0, 8, 3, 8, 2, 0, 2, 0, 1, 1, 8, 1, 3, 8, 8], [0, 8, 0, 3, 0, 1, 8, 8, 1, 1, 8, 1, 8, 3, 2, 1], [1, 0, 0, 3, 0, 1, 8, 8, 0, 8, 0, 2, 0, 3, 8, 1], [0, 8, 8, 3, 0, 8, 8, 2, 8, 8, 8, 8, 8, 3, 8, 8], [1, 1, 1, 3, 8, 0, 2, 0, 0, 0, 0, 8, 8, 3, 8, 0], [1, 8, 0, 3, 0, 2, 8, 8, 1, 2, 0, 0, 2, 3, 8, 1], [8, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2], [8, 1, 0, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 8, 1, 8], [8, 1, 0, 0, 1, 1, 8, 0, 1, 2, 8, 1, 0, 1, 2, 0], [8, 0, 8, 2, 8, 0, 8, 2, 0, 1, 8, 1, 8, 1, 8, 8]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 8, 8, 8, 2, 8, 0, 0, 0, 0, 0], [0, 0, 8, 2, 2, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 2, 2, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[8, 2, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 2, 2, 8], [8, 8, 8, 8, 2, 2, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 1, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 1, 1, 4], [4, 1, 1, 4, 4], [4, 4, 1, 4, 4]]\nDemonstration 3:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 3, 3, 3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[6, 6, 3, 6, 6, 6], [6, 6, 3, 3, 3, 6], [6, 3, 6, 6, 6, 6], [6, 3, 6, 6, 6, 6]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 8, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1, 8, 8, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 8, 8, 8, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[1, 1, 1, 8, 1, 1, 1, 1]",
"style": "rule"
}
|
{
"answer": "[1, 1, 1, 8, 1, 1, 1, 1]",
"index": 18,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 8, 8, 8, 2, 8, 0, 0, 0, 0, 0], [0, 0, 8, 2, 2, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 2, 2, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[8, 2, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 2, 2, 8], [8, 8, 8, 8, 2, 2, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 1, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[4, 4, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 1, 1, 4], [4, 1, 1, 4, 4], [4, 4, 1, 4, 4]]\nDemonstration 3:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 3, 3, 3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[6, 6, 3, 6, 6, 6], [6, 6, 3, 3, 3, 6], [6, 3, 6, 6, 6, 6], [6, 3, 6, 6, 6, 6]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 8, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1, 8, 8, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 8, 8, 8, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0], [1, 0, 0], [0, 0, 0]]\nOutput: [[2, 0, 0], [0, 0, 0], [0, 0, 0]]\nDemonstration 2:\nInput: [[0, 1, 0], [1, 0, 0], [0, 0, 0]]\nOutput: [[2, 2, 0], [0, 0, 0], [0, 0, 0]]\nDemonstration 3:\nInput: [[0, 0, 1], [0, 0, 0], [1, 0, 0]]\nOutput: [[2, 2, 0], [0, 0, 0], [0, 0, 0]]\nDemonstration 4:\nInput: [[0, 1, 0], [0, 0, 1], [0, 0, 0]]\nOutput: [[2, 2, 0], [0, 0, 0], [0, 0, 0]]\nDemonstration 5:\nInput: [[0, 0, 1], [0, 0, 0], [0, 0, 0]]\nOutput: [[2, 0, 0], [0, 0, 0], [0, 0, 0]]\nDemonstration 6:\nInput: [[1, 1, 0], [0, 0, 0], [1, 0, 0]]\nOutput: [[2, 2, 2], [0, 0, 0], [0, 0, 0]]\nDemonstration 7:\nInput: [[0, 1, 0], [1, 1, 0], [0, 0, 0]]\nOutput: [[2, 2, 2], [0, 0, 0], [0, 0, 0]]\nDemonstration 8:\nInput: [[1, 1, 0], [0, 0, 0], [1, 0, 1]]\nOutput: [[2, 2, 2], [0, 2, 0], [0, 0, 0]]\nDemonstration 9:\nInput: [[0, 1, 0], [1, 1, 0], [1, 0, 0]]\nOutput: [[2, 2, 2], [0, 2, 0], [0, 0, 0]]\nDemonstration 10:\nInput: [[1, 0, 0], [0, 0, 1], [0, 1, 1]]\nOutput: [[2, 2, 2], [0, 2, 0], [0, 0, 0]]\nTest:\nInput: [[0, 1, 0], [0, 1, 1], [1, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[2, 2, 2]",
"style": "rule"
}
|
{
"answer": "[2, 2, 2]",
"index": 19,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0], [1, 0, 0], [0, 0, 0]]\nOutput: [[2, 0, 0], [0, 0, 0], [0, 0, 0]]\nDemonstration 2:\nInput: [[0, 1, 0], [1, 0, 0], [0, 0, 0]]\nOutput: [[2, 2, 0], [0, 0, 0], [0, 0, 0]]\nDemonstration 3:\nInput: [[0, 0, 1], [0, 0, 0], [1, 0, 0]]\nOutput: [[2, 2, 0], [0, 0, 0], [0, 0, 0]]\nDemonstration 4:\nInput: [[0, 1, 0], [0, 0, 1], [0, 0, 0]]\nOutput: [[2, 2, 0], [0, 0, 0], [0, 0, 0]]\nDemonstration 5:\nInput: [[0, 0, 1], [0, 0, 0], [0, 0, 0]]\nOutput: [[2, 0, 0], [0, 0, 0], [0, 0, 0]]\nDemonstration 6:\nInput: [[1, 1, 0], [0, 0, 0], [1, 0, 0]]\nOutput: [[2, 2, 2], [0, 0, 0], [0, 0, 0]]\nDemonstration 7:\nInput: [[0, 1, 0], [1, 1, 0], [0, 0, 0]]\nOutput: [[2, 2, 2], [0, 0, 0], [0, 0, 0]]\nDemonstration 8:\nInput: [[1, 1, 0], [0, 0, 0], [1, 0, 1]]\nOutput: [[2, 2, 2], [0, 2, 0], [0, 0, 0]]\nDemonstration 9:\nInput: [[0, 1, 0], [1, 1, 0], [1, 0, 0]]\nOutput: [[2, 2, 2], [0, 2, 0], [0, 0, 0]]\nDemonstration 10:\nInput: [[1, 0, 0], [0, 0, 1], [0, 1, 1]]\nOutput: [[2, 2, 2], [0, 2, 0], [0, 0, 0]]\nTest:\nInput: [[0, 1, 0], [0, 1, 1], [1, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[3, 0, 2, 0, 0, 0, 3], [0, 2, 2, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 0], [0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3]]\nOutput: [[3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 3:\nInput: [[0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 3, 2, 2, 2, 2, 0, 3, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 4:\nInput: [[3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 2, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0], [2, 0, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 0, 0, 0, 0, 0, 0, 0]",
"style": "rule"
}
|
{
"answer": "[0, 0, 0, 0, 0, 0, 0, 0]",
"index": 20,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[3, 0, 2, 0, 0, 0, 3], [0, 2, 2, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 0], [0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3]]\nOutput: [[3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3]]\nDemonstration 2:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 3:\nInput: [[0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 3, 2, 2, 2, 2, 0, 3, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 4:\nInput: [[3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 2, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0], [2, 0, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 1, 1, 1, 9, 9, 9, 1, 9, 9, 9], [9, 1, 9, 1, 9, 9, 9, 1, 9, 9, 9], [9, 1, 9, 1, 9, 9, 1, 1, 1, 1, 9], [9, 1, 1, 1, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]\nOutput: [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 8, 8, 8, 9, 9, 9, 1, 9, 9, 9], [9, 8, 9, 8, 9, 9, 9, 1, 9, 9, 9], [9, 8, 9, 8, 9, 9, 1, 1, 1, 1, 9], [9, 8, 8, 8, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]\nDemonstration 2:\nInput: [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 1, 1, 1, 1, 1, 9, 9, 1, 9, 9], [9, 1, 9, 9, 9, 1, 9, 9, 1, 9, 1], [9, 1, 1, 1, 1, 1, 9, 9, 1, 1, 1], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9], [9, 9, 1, 1, 1, 1, 1, 9, 9, 9, 9], [9, 9, 9, 1, 9, 1, 9, 9, 9, 9, 9], [9, 9, 9, 1, 1, 1, 9, 9, 1, 1, 1], [9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 1, 1, 1]]\nOutput: [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 8, 8, 8, 8, 8, 9, 9, 1, 9, 9], [9, 8, 9, 9, 9, 8, 9, 9, 1, 9, 1], [9, 8, 8, 8, 8, 8, 9, 9, 1, 1, 1], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 9], [9, 9, 9, 8, 9, 8, 9, 9, 9, 9, 9], [9, 9, 9, 8, 8, 8, 9, 9, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8], [1, 1, 9, 9, 9, 9, 9, 9, 8, 8, 8]]\nDemonstration 3:\nInput: [[9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9], [9, 9, 1, 9, 9, 9, 9, 1, 1, 1, 1, 9, 9], [9, 1, 1, 1, 1, 9, 9, 9, 1, 9, 9, 9, 9], [9, 1, 9, 9, 1, 9, 9, 9, 1, 9, 9, 9, 9], [9, 1, 1, 1, 1, 9, 9, 9, 1, 1, 1, 9, 9], [9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9], [9, 1, 9, 9, 9, 9, 9, 1, 1, 1, 9, 9, 9], [1, 1, 1, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 1, 9, 9, 9, 9, 1, 9, 1, 1, 9, 9, 9], [1, 1, 9, 9, 9, 9, 1, 1, 1, 9, 9, 9, 9]]\nOutput: [[9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9], [9, 9, 8, 9, 9, 9, 9, 1, 1, 1, 1, 9, 9], [9, 8, 8, 8, 8, 9, 9, 9, 1, 9, 9, 9, 9], [9, 8, 9, 9, 8, 9, 9, 9, 1, 9, 9, 9, 9], [9, 8, 8, 8, 8, 9, 9, 9, 1, 1, 1, 9, 9], [9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9], [9, 1, 9, 9, 9, 9, 9, 1, 1, 1, 9, 9, 9], [1, 1, 1, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 1, 9, 9, 9, 9, 1, 9, 1, 1, 9, 9, 9], [1, 1, 9, 9, 9, 9, 1, 1, 1, 9, 9, 9, 9]]\nDemonstration 4:\nInput: [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 1, 1, 1, 1], [9, 9, 1, 9, 9, 9, 1, 9, 9, 9, 9, 1, 9, 9, 1], [9, 9, 1, 1, 1, 9, 1, 9, 9, 9, 1, 1, 1, 9, 1], [9, 9, 9, 9, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 1], [9, 9, 9, 9, 1, 9, 9, 9, 1, 1, 1, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 1, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 1, 9, 9, 9, 9], [1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [1, 9, 9, 1, 9, 9, 9, 1, 9, 1, 9, 9, 9, 9, 9], [1, 1, 1, 1, 9, 9, 9, 1, 1, 1, 1, 1, 9, 9, 9], [1, 9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 1, 1, 9, 9, 9, 9, 9, 9, 1, 1, 9]]\nOutput: [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 1, 1, 1, 1], [9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 9, 1, 9, 9, 1], [9, 9, 8, 8, 8, 9, 8, 9, 9, 9, 1, 1, 1, 9, 1], [9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 1], [9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9], [8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 8, 9, 9, 9, 1, 9, 1, 9, 9, 9, 9, 9], [8, 8, 8, 8, 9, 9, 9, 1, 1, 1, 1, 1, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 1, 1, 9, 9, 9, 9, 9, 9, 1, 1, 9]]\nTest:\nInput: [[1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 1, 1, 1, 1, 1, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 1, 9, 9, 1, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 1, 9, 9, 1, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 1, 1, 1, 1, 9, 9, 9, 1, 9, 9, 1], [9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 1, 1, 1, 1], [1, 1, 1, 1, 9, 9, 9, 1, 9, 9, 9, 1, 9, 9, 1], [1, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 1, 1, 1, 1, 1, 1, 9, 9, 9, 1, 1, 9], [9, 9, 9, 1, 9, 9, 9, 9, 1, 9, 9, 9, 9, 1, 9], [9, 9, 9, 1, 9, 9, 9, 9, 1, 9, 9, 9, 9, 1, 9], [9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 1, 9]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]",
"style": "rule"
}
|
{
"answer": "[1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]",
"index": 21,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 1, 1, 1, 9, 9, 9, 1, 9, 9, 9], [9, 1, 9, 1, 9, 9, 9, 1, 9, 9, 9], [9, 1, 9, 1, 9, 9, 1, 1, 1, 1, 9], [9, 1, 1, 1, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]\nOutput: [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 8, 8, 8, 9, 9, 9, 1, 9, 9, 9], [9, 8, 9, 8, 9, 9, 9, 1, 9, 9, 9], [9, 8, 9, 8, 9, 9, 1, 1, 1, 1, 9], [9, 8, 8, 8, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]\nDemonstration 2:\nInput: [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 1, 1, 1, 1, 1, 9, 9, 1, 9, 9], [9, 1, 9, 9, 9, 1, 9, 9, 1, 9, 1], [9, 1, 1, 1, 1, 1, 9, 9, 1, 1, 1], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9], [9, 9, 1, 1, 1, 1, 1, 9, 9, 9, 9], [9, 9, 9, 1, 9, 1, 9, 9, 9, 9, 9], [9, 9, 9, 1, 1, 1, 9, 9, 1, 1, 1], [9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 1, 1, 1]]\nOutput: [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 8, 8, 8, 8, 8, 9, 9, 1, 9, 9], [9, 8, 9, 9, 9, 8, 9, 9, 1, 9, 1], [9, 8, 8, 8, 8, 8, 9, 9, 1, 1, 1], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 9], [9, 9, 9, 8, 9, 8, 9, 9, 9, 9, 9], [9, 9, 9, 8, 8, 8, 9, 9, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8], [1, 1, 9, 9, 9, 9, 9, 9, 8, 8, 8]]\nDemonstration 3:\nInput: [[9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9], [9, 9, 1, 9, 9, 9, 9, 1, 1, 1, 1, 9, 9], [9, 1, 1, 1, 1, 9, 9, 9, 1, 9, 9, 9, 9], [9, 1, 9, 9, 1, 9, 9, 9, 1, 9, 9, 9, 9], [9, 1, 1, 1, 1, 9, 9, 9, 1, 1, 1, 9, 9], [9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9], [9, 1, 9, 9, 9, 9, 9, 1, 1, 1, 9, 9, 9], [1, 1, 1, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 1, 9, 9, 9, 9, 1, 9, 1, 1, 9, 9, 9], [1, 1, 9, 9, 9, 9, 1, 1, 1, 9, 9, 9, 9]]\nOutput: [[9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9], [9, 9, 8, 9, 9, 9, 9, 1, 1, 1, 1, 9, 9], [9, 8, 8, 8, 8, 9, 9, 9, 1, 9, 9, 9, 9], [9, 8, 9, 9, 8, 9, 9, 9, 1, 9, 9, 9, 9], [9, 8, 8, 8, 8, 9, 9, 9, 1, 1, 1, 9, 9], [9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9], [9, 1, 9, 9, 9, 9, 9, 1, 1, 1, 9, 9, 9], [1, 1, 1, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 1, 9, 9, 9, 9, 1, 9, 1, 1, 9, 9, 9], [1, 1, 9, 9, 9, 9, 1, 1, 1, 9, 9, 9, 9]]\nDemonstration 4:\nInput: [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 1, 1, 1, 1], [9, 9, 1, 9, 9, 9, 1, 9, 9, 9, 9, 1, 9, 9, 1], [9, 9, 1, 1, 1, 9, 1, 9, 9, 9, 1, 1, 1, 9, 1], [9, 9, 9, 9, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 1], [9, 9, 9, 9, 1, 9, 9, 9, 1, 1, 1, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 1, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 1, 9, 9, 9, 9], [1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [1, 9, 9, 1, 9, 9, 9, 1, 9, 1, 9, 9, 9, 9, 9], [1, 1, 1, 1, 9, 9, 9, 1, 1, 1, 1, 1, 9, 9, 9], [1, 9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 1, 1, 9, 9, 9, 9, 9, 9, 1, 1, 9]]\nOutput: [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 1, 1, 1, 1], [9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 9, 1, 9, 9, 1], [9, 9, 8, 8, 8, 9, 8, 9, 9, 9, 1, 1, 1, 9, 1], [9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 1], [9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9], [8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 9, 9, 8, 9, 9, 9, 1, 9, 1, 9, 9, 9, 9, 9], [8, 8, 8, 8, 9, 9, 9, 1, 1, 1, 1, 1, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 1, 1, 9, 9, 9, 9, 9, 9, 1, 1, 9]]\nTest:\nInput: [[1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 1, 1, 1, 1, 1, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 1, 9, 9, 1, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 1, 9, 9, 1, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 1, 1, 1, 1, 9, 9, 9, 1, 9, 9, 1], [9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 1, 1, 1, 1], [1, 1, 1, 1, 9, 9, 9, 1, 9, 9, 9, 1, 9, 9, 1], [1, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 1, 1, 1, 1, 1, 1, 9, 9, 9, 1, 1, 9], [9, 9, 9, 1, 9, 9, 9, 9, 1, 9, 9, 9, 9, 1, 9], [9, 9, 9, 1, 9, 9, 9, 9, 1, 9, 9, 9, 9, 1, 9], [9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 1, 9]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[6, 1, 0], [3, 0, 0], [0, 0, 0]]\nOutput: [[6, 1, 0, 0, 0, 0], [3, 6, 1, 0, 0, 0], [0, 3, 6, 1, 0, 0], [0, 0, 3, 6, 1, 0], [0, 0, 0, 3, 6, 1], [0, 0, 0, 0, 3, 6]]\nDemonstration 2:\nInput: [[0, 4, 0], [0, 8, 0], [2, 0, 0]]\nOutput: [[0, 4, 0, 0, 0, 0], [0, 8, 4, 0, 0, 0], [2, 0, 8, 4, 0, 0], [0, 2, 0, 8, 4, 0], [0, 0, 2, 0, 8, 4], [0, 0, 0, 2, 0, 8]]\nDemonstration 3:\nInput: [[0, 0, 6], [1, 3, 0], [0, 0, 0]]\nOutput: [[0, 0, 6, 0, 0, 0], [1, 3, 0, 6, 0, 0], [0, 1, 3, 0, 6, 0], [0, 0, 1, 3, 0, 6], [0, 0, 0, 1, 3, 0], [0, 0, 0, 0, 1, 3]]\nTest:\nInput: [[0, 0, 3], [0, 0, 0], [0, 4, 9]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 0, 3, 0, 0, 0]",
"style": "rule"
}
|
{
"answer": "[0, 0, 3, 0, 0, 0]",
"index": 22,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[6, 1, 0], [3, 0, 0], [0, 0, 0]]\nOutput: [[6, 1, 0, 0, 0, 0], [3, 6, 1, 0, 0, 0], [0, 3, 6, 1, 0, 0], [0, 0, 3, 6, 1, 0], [0, 0, 0, 3, 6, 1], [0, 0, 0, 0, 3, 6]]\nDemonstration 2:\nInput: [[0, 4, 0], [0, 8, 0], [2, 0, 0]]\nOutput: [[0, 4, 0, 0, 0, 0], [0, 8, 4, 0, 0, 0], [2, 0, 8, 4, 0, 0], [0, 2, 0, 8, 4, 0], [0, 0, 2, 0, 8, 4], [0, 0, 0, 2, 0, 8]]\nDemonstration 3:\nInput: [[0, 0, 6], [1, 3, 0], [0, 0, 0]]\nOutput: [[0, 0, 6, 0, 0, 0], [1, 3, 0, 6, 0, 0], [0, 1, 3, 0, 6, 0], [0, 0, 1, 3, 0, 6], [0, 0, 0, 1, 3, 0], [0, 0, 0, 0, 1, 3]]\nTest:\nInput: [[0, 0, 3], [0, 0, 0], [0, 4, 9]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 8, 2, 2, 2, 2, 2, 2, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 2, 2, 2, 2, 2, 2, 8, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 6, 6, 6, 6, 6, 6, 8, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 8, 6, 6, 6, 6, 6, 6, 8, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 8, 6, 6, 6, 6, 6, 6, 8, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 8, 6, 6, 6, 6, 6, 6, 8, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0]]\nOutput: [[0, 0, 8, 2, 2, 2, 2, 2, 2, 8, 0, 0, 0, 0], [0, 0, 8, 2, 2, 2, 2, 2, 2, 8, 0, 0, 0, 0], [0, 0, 8, 2, 2, 2, 2, 2, 2, 8, 0, 0, 0, 0], [0, 0, 8, 2, 2, 2, 2, 2, 2, 8, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 8, 6, 6, 6, 6, 6, 6, 8, 3, 3, 3, 3], [4, 4, 8, 6, 6, 6, 6, 6, 6, 8, 3, 3, 3, 3], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0], [0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0], [0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0], [0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 0, 0, 8, 2, 2, 2, 2, 8, 0, 0, 0, 0, 0, 0]",
"style": "rule"
}
|
{
"answer": "[0, 0, 0, 8, 2, 2, 2, 2, 8, 0, 0, 0, 0, 0, 0]",
"index": 23,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 8, 2, 2, 2, 2, 2, 2, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 2, 2, 2, 2, 2, 2, 8, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 6, 6, 6, 6, 6, 6, 8, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 8, 6, 6, 6, 6, 6, 6, 8, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 8, 6, 6, 6, 6, 6, 6, 8, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 8, 6, 6, 6, 6, 6, 6, 8, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0]]\nDemonstration 2:\nInput: [[0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0]]\nOutput: [[0, 0, 8, 2, 2, 2, 2, 2, 2, 8, 0, 0, 0, 0], [0, 0, 8, 2, 2, 2, 2, 2, 2, 8, 0, 0, 0, 0], [0, 0, 8, 2, 2, 2, 2, 2, 2, 8, 0, 0, 0, 0], [0, 0, 8, 2, 2, 2, 2, 2, 2, 8, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 8, 6, 6, 6, 6, 6, 6, 8, 3, 3, 3, 3], [4, 4, 8, 6, 6, 6, 6, 6, 6, 8, 3, 3, 3, 3], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0], [0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0], [0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0], [0, 0, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 0]]\nTest:\nInput: [[0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 3, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 3, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 3, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2]]\nOutput: [[1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 2, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 1, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 1, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2]]\nDemonstration 2:\nInput: [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nOutput: [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nDemonstration 3:\nInput: [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]\nOutput: [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]\nTest:\nInput: [[5, 3, 0, 0, 0, 0, 0, 0, 0, 4], [5, 0, 0, 0, 0, 3, 0, 0, 3, 4], [5, 0, 0, 0, 0, 0, 0, 0, 0, 4], [5, 0, 0, 3, 0, 0, 0, 0, 0, 4], [5, 0, 0, 0, 0, 0, 3, 0, 0, 4], [5, 0, 0, 3, 0, 0, 0, 0, 0, 4], [5, 0, 0, 0, 0, 0, 0, 0, 0, 4], [5, 0, 0, 0, 3, 0, 0, 0, 0, 4], [5, 0, 3, 0, 0, 0, 3, 0, 0, 4], [5, 0, 0, 0, 0, 0, 0, 0, 0, 4]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[5, 5, 0, 0, 0, 0, 0, 0, 0, 4]",
"style": "rule"
}
|
{
"answer": "[5, 5, 0, 0, 0, 0, 0, 0, 0, 4]",
"index": 24,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 3, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 3, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 3, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2]]\nOutput: [[1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 2, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 1, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 1, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0, 0, 2]]\nDemonstration 2:\nInput: [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nOutput: [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nDemonstration 3:\nInput: [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]\nOutput: [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]]\nTest:\nInput: [[5, 3, 0, 0, 0, 0, 0, 0, 0, 4], [5, 0, 0, 0, 0, 3, 0, 0, 3, 4], [5, 0, 0, 0, 0, 0, 0, 0, 0, 4], [5, 0, 0, 3, 0, 0, 0, 0, 0, 4], [5, 0, 0, 0, 0, 0, 3, 0, 0, 4], [5, 0, 0, 3, 0, 0, 0, 0, 0, 4], [5, 0, 0, 0, 0, 0, 0, 0, 0, 4], [5, 0, 0, 0, 3, 0, 0, 0, 0, 4], [5, 0, 3, 0, 0, 0, 3, 0, 0, 4], [5, 0, 0, 0, 0, 0, 0, 0, 0, 4]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 2, 2], [0, 0, 2, 0, 2], [2, 0, 0, 2, 2], [2, 2, 0, 0, 2], [0, 0, 0, 0, 2], [0, 2, 0, 0, 0], [4, 4, 4, 4, 4], [2, 0, 0, 0, 0], [2, 2, 0, 0, 0], [2, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 0, 2, 2], [2, 0, 0, 2, 0]]\nOutput: [[3, 0, 0, 3, 3], [3, 3, 3, 0, 3], [0, 0, 3, 3, 3], [3, 3, 3, 0, 3], [0, 0, 0, 3, 0], [3, 3, 0, 3, 0]]\nDemonstration 2:\nInput: [[0, 2, 2, 2, 2], [0, 0, 0, 0, 2], [2, 0, 2, 2, 2], [0, 0, 2, 2, 0], [2, 2, 2, 2, 0], [2, 2, 0, 0, 2], [4, 4, 4, 4, 4], [0, 0, 0, 0, 0], [0, 0, 2, 0, 0], [2, 0, 0, 0, 2], [0, 0, 0, 2, 0], [0, 2, 0, 2, 0], [0, 2, 2, 2, 0]]\nOutput: [[0, 3, 3, 3, 3], [0, 0, 3, 0, 3], [0, 0, 3, 3, 0], [0, 0, 3, 0, 0], [3, 0, 3, 0, 0], [3, 0, 3, 3, 3]]\nDemonstration 3:\nInput: [[2, 2, 0, 2, 2], [2, 0, 2, 2, 2], [2, 0, 0, 0, 0], [0, 2, 0, 2, 0], [2, 2, 2, 0, 2], [2, 0, 2, 0, 0], [4, 4, 4, 4, 4], [2, 0, 0, 2, 2], [0, 0, 2, 0, 2], [2, 2, 0, 0, 0], [0, 0, 2, 0, 2], [0, 2, 0, 2, 2], [0, 2, 2, 0, 2]]\nOutput: [[0, 3, 0, 0, 0], [3, 0, 0, 3, 0], [0, 3, 0, 0, 0], [0, 3, 3, 3, 3], [3, 0, 3, 3, 0], [3, 3, 0, 0, 3]]\nDemonstration 4:\nInput: [[0, 2, 0, 2, 0], [2, 2, 0, 2, 2], [0, 2, 2, 2, 0], [0, 2, 2, 0, 0], [0, 2, 2, 2, 2], [2, 0, 2, 0, 2], [4, 4, 4, 4, 4], [2, 0, 2, 2, 2], [0, 2, 2, 0, 0], [2, 0, 2, 0, 2], [2, 0, 0, 0, 2], [2, 2, 0, 2, 0], [2, 0, 2, 2, 0]]\nOutput: [[3, 3, 3, 0, 3], [3, 0, 3, 3, 3], [3, 3, 0, 3, 3], [3, 3, 3, 0, 3], [3, 0, 3, 0, 3], [0, 0, 0, 3, 3]]\nTest:\nInput: [[2, 0, 2, 0, 2], [2, 0, 2, 0, 2], [0, 0, 0, 2, 0], [0, 2, 2, 2, 0], [2, 0, 2, 2, 0], [2, 2, 2, 0, 2], [4, 4, 4, 4, 4], [2, 2, 0, 0, 0], [0, 2, 2, 2, 2], [0, 0, 2, 2, 0], [0, 2, 0, 0, 0], [0, 2, 2, 0, 2], [2, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[0, 3, 3, 0, 3]",
"style": "rule"
}
|
{
"answer": "[0, 3, 3, 0, 3]",
"index": 25,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[0, 0, 0, 2, 2], [0, 0, 2, 0, 2], [2, 0, 0, 2, 2], [2, 2, 0, 0, 2], [0, 0, 0, 0, 2], [0, 2, 0, 0, 0], [4, 4, 4, 4, 4], [2, 0, 0, 0, 0], [2, 2, 0, 0, 0], [2, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 0, 2, 2], [2, 0, 0, 2, 0]]\nOutput: [[3, 0, 0, 3, 3], [3, 3, 3, 0, 3], [0, 0, 3, 3, 3], [3, 3, 3, 0, 3], [0, 0, 0, 3, 0], [3, 3, 0, 3, 0]]\nDemonstration 2:\nInput: [[0, 2, 2, 2, 2], [0, 0, 0, 0, 2], [2, 0, 2, 2, 2], [0, 0, 2, 2, 0], [2, 2, 2, 2, 0], [2, 2, 0, 0, 2], [4, 4, 4, 4, 4], [0, 0, 0, 0, 0], [0, 0, 2, 0, 0], [2, 0, 0, 0, 2], [0, 0, 0, 2, 0], [0, 2, 0, 2, 0], [0, 2, 2, 2, 0]]\nOutput: [[0, 3, 3, 3, 3], [0, 0, 3, 0, 3], [0, 0, 3, 3, 0], [0, 0, 3, 0, 0], [3, 0, 3, 0, 0], [3, 0, 3, 3, 3]]\nDemonstration 3:\nInput: [[2, 2, 0, 2, 2], [2, 0, 2, 2, 2], [2, 0, 0, 0, 0], [0, 2, 0, 2, 0], [2, 2, 2, 0, 2], [2, 0, 2, 0, 0], [4, 4, 4, 4, 4], [2, 0, 0, 2, 2], [0, 0, 2, 0, 2], [2, 2, 0, 0, 0], [0, 0, 2, 0, 2], [0, 2, 0, 2, 2], [0, 2, 2, 0, 2]]\nOutput: [[0, 3, 0, 0, 0], [3, 0, 0, 3, 0], [0, 3, 0, 0, 0], [0, 3, 3, 3, 3], [3, 0, 3, 3, 0], [3, 3, 0, 0, 3]]\nDemonstration 4:\nInput: [[0, 2, 0, 2, 0], [2, 2, 0, 2, 2], [0, 2, 2, 2, 0], [0, 2, 2, 0, 0], [0, 2, 2, 2, 2], [2, 0, 2, 0, 2], [4, 4, 4, 4, 4], [2, 0, 2, 2, 2], [0, 2, 2, 0, 0], [2, 0, 2, 0, 2], [2, 0, 0, 0, 2], [2, 2, 0, 2, 0], [2, 0, 2, 2, 0]]\nOutput: [[3, 3, 3, 0, 3], [3, 0, 3, 3, 3], [3, 3, 0, 3, 3], [3, 3, 3, 0, 3], [3, 0, 3, 0, 3], [0, 0, 0, 3, 3]]\nTest:\nInput: [[2, 0, 2, 0, 2], [2, 0, 2, 0, 2], [0, 0, 0, 2, 0], [0, 2, 2, 2, 0], [2, 0, 2, 2, 0], [2, 2, 2, 0, 2], [4, 4, 4, 4, 4], [2, 2, 0, 0, 0], [0, 2, 2, 2, 2], [0, 0, 2, 2, 0], [0, 2, 0, 0, 0], [0, 2, 2, 0, 2], [2, 0, 0, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 1], [1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 3, 1, 1, 1, 3, 1], [1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 3, 3, 3, 3, 3, 1], [1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1], [1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 3, 3, 3, 3, 3, 1], [1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1], [1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1], [1, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 1, 1], [1, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 1, 1, 1, 1], [1, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 1, 1], [1, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 1, 1]]\nOutput: [[2, 2, 2, 2, 2], [2, 1, 2, 1, 2], [1, 1, 1, 1, 2], [2, 1, 2, 1, 2], [2, 2, 2, 2, 2]]\nDemonstration 2:\nInput: [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 3, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 3, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8], [8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8], [8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]\nOutput: [[8, 4, 8], [4, 4, 4], [8, 4, 8], [4, 4, 4], [8, 4, 8]]\nDemonstration 3:\nInput: [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]\nOutput: [[8, 8, 8], [8, 2, 2], [8, 8, 8], [2, 2, 8], [8, 8, 8]]\nDemonstration 4:\nInput: [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 3, 3, 1, 1, 1, 1], [2, 1, 1, 2, 2, 2, 2, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1], [2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]\nOutput: [[1, 3, 3, 3, 1], [3, 3, 1, 3, 3], [1, 3, 3, 3, 1]]\nTest:\nInput: [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 1, 1, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 1, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 1, 1, 3, 3, 3, 3, 3], [3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[3, 6, 3]",
"style": "rule"
}
|
{
"answer": "[3, 6, 3]",
"index": 26,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 1], [1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 3, 1, 1, 1, 3, 1], [1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 3, 3, 3, 3, 3, 1], [1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1], [1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 3, 3, 3, 3, 3, 1], [1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1], [1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1], [1, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 1, 1], [1, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 1, 1, 1, 1], [1, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 1, 1], [1, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 8, 8, 1, 1, 1, 1]]\nOutput: [[2, 2, 2, 2, 2], [2, 1, 2, 1, 2], [1, 1, 1, 1, 2], [2, 1, 2, 1, 2], [2, 2, 2, 2, 2]]\nDemonstration 2:\nInput: [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 3, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 3, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8], [8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8], [8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]]\nOutput: [[8, 4, 8], [4, 4, 4], [8, 4, 8], [4, 4, 4], [8, 4, 8]]\nDemonstration 3:\nInput: [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]\nOutput: [[8, 8, 8], [8, 2, 2], [8, 8, 8], [2, 2, 8], [8, 8, 8]]\nDemonstration 4:\nInput: [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 3, 3, 1, 1, 1, 1], [2, 1, 1, 2, 2, 2, 2, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1], [2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]\nOutput: [[1, 3, 3, 3, 1], [3, 3, 1, 3, 3], [1, 3, 3, 3, 1]]\nTest:\nInput: [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 1, 1, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 1, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 1, 1, 3, 3, 3, 3, 3], [3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[4, 4, 0, 0, 0, 0, 5, 0], [4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 5, 0], [0, 4, 0, 0, 5, 5, 0, 0], [0, 0, 6, 0, 0, 0, 9, 0], [6, 6, 6, 0, 0, 0, 0, 9], [6, 0, 6, 6, 9, 9, 0, 0], [0, 6, 6, 0, 9, 0, 0, 0]]\nOutput: [[4, 4, 5, 0], [6, 6, 6, 9], [6, 9, 5, 6], [5, 5, 6, 0]]\nDemonstration 2:\nInput: [[4, 0, 0, 4, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5], [4, 4, 0, 4, 0, 5, 0, 0], [4, 0, 4, 4, 0, 5, 5, 5], [0, 0, 0, 6, 0, 9, 0, 9], [0, 0, 6, 0, 0, 9, 0, 0], [6, 0, 0, 6, 0, 9, 0, 9], [0, 0, 6, 6, 0, 0, 0, 9]]\nOutput: [[5, 5, 0, 6], [0, 9, 5, 5], [6, 5, 0, 6], [4, 5, 5, 5]]\nDemonstration 3:\nInput: [[0, 0, 0, 4, 5, 0, 0, 0], [4, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 4, 0, 0, 5, 0], [0, 4, 0, 4, 0, 0, 5, 0], [6, 0, 0, 0, 0, 9, 9, 0], [6, 0, 0, 0, 0, 9, 0, 9], [6, 0, 6, 0, 9, 9, 9, 0], [6, 0, 6, 0, 0, 0, 0, 0]]\nOutput: [[5, 9, 9, 4], [6, 5, 0, 9], [6, 9, 5, 4], [6, 4, 5, 4]]\nDemonstration 4:\nInput: [[4, 0, 0, 4, 0, 5, 0, 5], [0, 0, 4, 0, 5, 0, 0, 5], [0, 0, 4, 4, 0, 0, 5, 5], [4, 0, 0, 0, 5, 0, 0, 5], [6, 6, 6, 0, 9, 0, 9, 9], [6, 6, 6, 0, 0, 9, 9, 9], [6, 0, 0, 6, 9, 9, 0, 9], [6, 6, 0, 6, 9, 0, 9, 9]]\nOutput: [[6, 5, 6, 5], [5, 6, 6, 5], [6, 9, 5, 5], [5, 6, 9, 5]]\nDemonstration 5:\nInput: [[0, 4, 4, 4, 0, 5, 5, 5], [0, 0, 4, 0, 5, 5, 0, 5], [0, 0, 0, 0, 5, 0, 0, 0], [4, 0, 0, 0, 5, 0, 0, 0], [6, 6, 0, 6, 0, 0, 9, 9], [0, 0, 0, 6, 9, 0, 9, 0], [0, 0, 0, 6, 9, 0, 9, 9], [6, 6, 0, 6, 0, 9, 0, 9]]\nOutput: [[6, 5, 5, 5], [5, 5, 9, 5], [5, 0, 9, 6], [5, 6, 0, 6]]\nTest:\nInput: [[0, 4, 0, 4, 5, 0, 0, 0], [0, 4, 4, 4, 5, 0, 5, 5], [4, 4, 4, 0, 0, 5, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0], [6, 0, 6, 6, 9, 9, 9, 0], [0, 0, 0, 6, 0, 9, 0, 0], [0, 6, 0, 0, 0, 0, 9, 9], [6, 0, 0, 0, 0, 9, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[5, 9, 6, 6]",
"style": "rule"
}
|
{
"answer": "[5, 9, 6, 6]",
"index": 27,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[4, 4, 0, 0, 0, 0, 5, 0], [4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 5, 0], [0, 4, 0, 0, 5, 5, 0, 0], [0, 0, 6, 0, 0, 0, 9, 0], [6, 6, 6, 0, 0, 0, 0, 9], [6, 0, 6, 6, 9, 9, 0, 0], [0, 6, 6, 0, 9, 0, 0, 0]]\nOutput: [[4, 4, 5, 0], [6, 6, 6, 9], [6, 9, 5, 6], [5, 5, 6, 0]]\nDemonstration 2:\nInput: [[4, 0, 0, 4, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5], [4, 4, 0, 4, 0, 5, 0, 0], [4, 0, 4, 4, 0, 5, 5, 5], [0, 0, 0, 6, 0, 9, 0, 9], [0, 0, 6, 0, 0, 9, 0, 0], [6, 0, 0, 6, 0, 9, 0, 9], [0, 0, 6, 6, 0, 0, 0, 9]]\nOutput: [[5, 5, 0, 6], [0, 9, 5, 5], [6, 5, 0, 6], [4, 5, 5, 5]]\nDemonstration 3:\nInput: [[0, 0, 0, 4, 5, 0, 0, 0], [4, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 4, 0, 0, 5, 0], [0, 4, 0, 4, 0, 0, 5, 0], [6, 0, 0, 0, 0, 9, 9, 0], [6, 0, 0, 0, 0, 9, 0, 9], [6, 0, 6, 0, 9, 9, 9, 0], [6, 0, 6, 0, 0, 0, 0, 0]]\nOutput: [[5, 9, 9, 4], [6, 5, 0, 9], [6, 9, 5, 4], [6, 4, 5, 4]]\nDemonstration 4:\nInput: [[4, 0, 0, 4, 0, 5, 0, 5], [0, 0, 4, 0, 5, 0, 0, 5], [0, 0, 4, 4, 0, 0, 5, 5], [4, 0, 0, 0, 5, 0, 0, 5], [6, 6, 6, 0, 9, 0, 9, 9], [6, 6, 6, 0, 0, 9, 9, 9], [6, 0, 0, 6, 9, 9, 0, 9], [6, 6, 0, 6, 9, 0, 9, 9]]\nOutput: [[6, 5, 6, 5], [5, 6, 6, 5], [6, 9, 5, 5], [5, 6, 9, 5]]\nDemonstration 5:\nInput: [[0, 4, 4, 4, 0, 5, 5, 5], [0, 0, 4, 0, 5, 5, 0, 5], [0, 0, 0, 0, 5, 0, 0, 0], [4, 0, 0, 0, 5, 0, 0, 0], [6, 6, 0, 6, 0, 0, 9, 9], [0, 0, 0, 6, 9, 0, 9, 0], [0, 0, 0, 6, 9, 0, 9, 9], [6, 6, 0, 6, 0, 9, 0, 9]]\nOutput: [[6, 5, 5, 5], [5, 5, 9, 5], [5, 0, 9, 6], [5, 6, 0, 6]]\nTest:\nInput: [[0, 4, 0, 4, 5, 0, 0, 0], [0, 4, 4, 4, 5, 0, 5, 5], [4, 4, 4, 0, 0, 5, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0], [6, 0, 6, 6, 9, 9, 9, 0], [0, 0, 0, 6, 0, 9, 0, 0], [0, 6, 0, 0, 0, 0, 9, 9], [6, 0, 0, 0, 0, 9, 0, 0]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
general-reasoner
|
[
{
"content": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[6, 6, 6, 2], [6, 1, 6, 2], [7, 2, 7, 2], [1, 7, 2, 2]]\nOutput: [[2, 6, 6, 6], [2, 6, 1, 6], [2, 7, 2, 7], [2, 2, 7, 1]]\nDemonstration 2:\nInput: [[7, 7, 7, 6, 6, 6, 2], [6, 7, 1, 1, 7, 7, 1], [7, 7, 2, 1, 2, 6, 6], [2, 2, 7, 7, 7, 2, 2], [7, 2, 7, 1, 2, 7, 2], [6, 6, 6, 2, 2, 1, 1], [6, 2, 6, 6, 6, 6, 6]]\nOutput: [[2, 6, 6, 6, 7, 7, 7], [1, 7, 7, 1, 1, 7, 6], [6, 6, 2, 1, 2, 7, 7], [2, 2, 7, 7, 7, 2, 2], [2, 7, 2, 1, 7, 2, 7], [1, 1, 2, 2, 6, 6, 6], [6, 6, 6, 6, 6, 2, 6]]\nDemonstration 3:\nInput: [[1, 2, 7, 1, 1, 1], [2, 1, 7, 7, 2, 6], [2, 1, 2, 6, 2, 1], [1, 2, 1, 7, 6, 2], [2, 7, 1, 2, 7, 1], [2, 1, 6, 2, 7, 7]]\nOutput: [[1, 1, 1, 7, 2, 1], [6, 2, 7, 7, 1, 2], [1, 2, 6, 2, 1, 2], [2, 6, 7, 1, 2, 1], [1, 7, 2, 1, 7, 2], [7, 7, 2, 6, 1, 2]]\nTest:\nInput: [[7, 6, 1], [6, 7, 6], [6, 2, 2]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n``` Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] |
reasoning
|
{
"ground_truth": "[1, 6, 7]",
"style": "rule"
}
|
{
"answer": "[1, 6, 7]",
"index": 28,
"level": 5.5,
"question": "Solve the following problem step by step. First, think about the reasoning process in the mind and then provide the answer. The reasoning process is enclosed within <think> </think> and the final answer is enclosed within <answer> </answer> tags, respectively, i.e., <think> reasoning process here </think> <answer> answer here</answer>.\n\nBelow are the inputs & outputs of the demonstration pairs, plus the input(s) of the test pair(s). Please construct the output grid(s) corresponding to the test input grid(s).\nDemonstration 1:\nInput: [[6, 6, 6, 2], [6, 1, 6, 2], [7, 2, 7, 2], [1, 7, 2, 2]]\nOutput: [[2, 6, 6, 6], [2, 6, 1, 6], [2, 7, 2, 7], [2, 2, 7, 1]]\nDemonstration 2:\nInput: [[7, 7, 7, 6, 6, 6, 2], [6, 7, 1, 1, 7, 7, 1], [7, 7, 2, 1, 2, 6, 6], [2, 2, 7, 7, 7, 2, 2], [7, 2, 7, 1, 2, 7, 2], [6, 6, 6, 2, 2, 1, 1], [6, 2, 6, 6, 6, 6, 6]]\nOutput: [[2, 6, 6, 6, 7, 7, 7], [1, 7, 7, 1, 1, 7, 6], [6, 6, 2, 1, 2, 7, 7], [2, 2, 7, 7, 7, 2, 2], [2, 7, 2, 1, 7, 2, 7], [1, 1, 2, 2, 6, 6, 6], [6, 6, 6, 6, 6, 2, 6]]\nDemonstration 3:\nInput: [[1, 2, 7, 1, 1, 1], [2, 1, 7, 7, 2, 6], [2, 1, 2, 6, 2, 1], [1, 2, 1, 7, 6, 2], [2, 7, 1, 2, 7, 1], [2, 1, 6, 2, 7, 7]]\nOutput: [[1, 1, 1, 7, 2, 1], [6, 2, 7, 7, 1, 2], [1, 2, 6, 2, 1, 2], [2, 6, 7, 1, 2, 1], [1, 7, 2, 1, 7, 2], [7, 7, 2, 6, 1, 2]]\nTest:\nInput: [[7, 6, 1], [6, 7, 6], [6, 2, 2]]\nMake sure your answer is a string wrapped in Markdown JSON block. For example, the format should be: \n```json\nYOUR_ANSWER\n```",
"split": "train"
}
|
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