messages
listlengths 1
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stringlengths 4
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| dataset
stringclasses 4
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|---|---|---|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[9, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 7, 7, 7, 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], [1, 0, 0, 0, 0, 0, 0, 0, 8]]\nOutput: [[9, 9, 9, 0, 0, 0, 4, 4, 4], [9, 9, 9, 0, 0, 0, 4, 4, 4], [9, 9, 9, 0, 0, 0, 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], [1, 1, 1, 0, 0, 0, 8, 8, 8], [1, 1, 1, 0, 0, 0, 8, 8, 8], [1, 1, 1, 0, 0, 0, 8, 8, 8]]\n\nExample 2\nInput: [[3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6]]\nOutput: [[3, 3, 3, 0, 0, 0, 0, 0, 7, 7, 7], [3, 3, 3, 0, 0, 0, 0, 0, 7, 7, 7], [3, 3, 3, 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], [8, 8, 8, 0, 0, 0, 0, 0, 6, 6, 6], [8, 8, 8, 0, 0, 0, 0, 0, 6, 6, 6], [8, 8, 8, 0, 0, 0, 0, 0, 6, 6, 6]]\n\nExample 3\nInput: [[5, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 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], [3, 0, 0, 0, 0, 0, 0, 0, 0, 1]]\nOutput: [[5, 5, 5, 0, 0, 0, 0, 6, 6, 6], [5, 5, 5, 0, 0, 0, 0, 6, 6, 6], [5, 5, 5, 0, 0, 0, 0, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 1, 1, 1], [3, 3, 3, 0, 0, 0, 0, 1, 1, 1], [3, 3, 3, 0, 0, 0, 0, 1, 1, 1]]\n\nExample 4\nInput: [[2, 0, 0, 0, 0, 0, 0, 0, 0, 9], [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, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 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], [5, 0, 0, 0, 0, 0, 0, 0, 0, 8]]\nOutput: [[2, 2, 2, 0, 0, 0, 0, 9, 9, 9], [2, 2, 2, 0, 0, 0, 0, 9, 9, 9], [2, 2, 2, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 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, 5, 5, 0, 0, 0, 0, 8, 8, 8], [5, 5, 5, 0, 0, 0, 0, 8, 8, 8], [5, 5, 5, 0, 0, 0, 0, 8, 8, 8]]\n\nExample 5\nInput: [[5, 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, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 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], [9, 0, 0, 0, 0, 0, 0, 0, 0, 2]]\nOutput: [[5, 5, 5, 0, 0, 0, 0, 4, 4, 4], [5, 5, 5, 0, 0, 0, 0, 4, 4, 4], [5, 5, 5, 0, 0, 0, 0, 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], [9, 9, 9, 0, 0, 0, 0, 2, 2, 2], [9, 9, 9, 0, 0, 0, 0, 2, 2, 2], [9, 9, 9, 0, 0, 0, 0, 2, 2, 2]]\n\nExample 6\nInput: [[7, 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, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 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, 3]]\nOutput: [[7, 7, 7, 0, 0, 0, 0, 0, 2, 2, 2], [7, 7, 7, 0, 0, 0, 0, 0, 2, 2, 2], [7, 7, 7, 0, 0, 0, 0, 0, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 0, 0, 0, 0, 0, 3, 3, 3], [4, 4, 4, 0, 0, 0, 0, 0, 3, 3, 3], [4, 4, 4, 0, 0, 0, 0, 0, 3, 3, 3]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[6, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0], [0, 2, 2, 2, 0, 0], [0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 0, 9]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[6, 6, 6, 1, 1, 1], [6, 6, 6, 1, 1, 1], [6, 6, 6, 1, 1, 1], [0, 0, 0, 0, 0, 0], [4, 4, 4, 9, 9, 9], [4, 4, 4, 9, 9, 9], [4, 4, 4, 9, 9, 9]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 8, 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, 7, 7, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[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, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[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, 8, 8, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 8, 8, 8, 0, 0], [0, 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: [[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, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[0, 0, 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, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 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, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0], [0, 0, 0, 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]]\nOutput: [[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 7, 0], [0, 0, 7, 7, 7, 0], [0, 0, 7, 7, 7, 0], [0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 6, 6, 6, 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, 0, 0, 0, 0, 0, 0], [0, 0, 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, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 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, 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]]\nOutput: [[2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 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, 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]]\nOutput: [[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\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, 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: [[4, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\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, 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]]\nOutput: [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0]]\nOutput: [[8, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 6, 6, 6, 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]]\nOutput: [[6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0], [0, 0, 4, 4, 4, 0, 0], [0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 0, 0, 0, 0], [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]]\n\nExample 3\nInput: [[4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0], [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]]\nOutput: [[4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0], [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]]\n\nExample 4\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, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[5, 5, 0, 0, 0, 0, 0, 0, 0], [5, 5, 0, 0, 0, 0, 0, 0, 0], [5, 5, 0, 0, 0, 0, 0, 0, 0], [5, 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, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\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], [4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0], [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]]\n\nExample 6\nInput: [[0, 0, 4, 4, 4, 0], [0, 0, 4, 4, 4, 0], [0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[4, 4, 4, 0, 0, 0], [4, 4, 4, 0, 0, 0], [4, 4, 4, 0, 0, 0], [4, 4, 4, 0, 0, 0], [4, 4, 4, 0, 0, 0], [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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 0], [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]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 1, 1, 1, 2, 2, 2, 0], [1, 1, 0, 1, 2, 0, 2, 2], [0, 0, 0, 1, 2, 0, 0, 0], [0, 1, 0, 1, 2, 0, 2, 0], [1, 1, 0, 0, 0, 0, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 2], [0, 0, 1, 0, 0, 2, 0, 0], [1, 1, 1, 1, 2, 2, 2, 2], [1, 0, 1, 0, 0, 2, 0, 2]]\nOutput: [[0, 2, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2], [0, 0, 0, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 0, 0, 2, 0, 2]]\n\nExample 2\nInput: [[2, 0, 2, 2, 0, 0, 1, 1, 0, 1], [2, 2, 0, 0, 2, 1, 0, 0, 1, 1], [0, 0, 0, 2, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 2, 1, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 1, 0, 0], [0, 2, 0, 2, 0, 0, 1, 0, 1, 0], [0, 2, 0, 0, 2, 1, 0, 0, 1, 0]]\nOutput: [[1, 0, 1, 1, 0, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0]]\n\nExample 3\nInput: [[2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1], [2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1], [2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1], [2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1], [2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1]]\nOutput: [[1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1], [1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1]]\n\nExample 4\nInput: [[0, 1, 1, 1, 0, 2, 2, 2, 0], [1, 0, 0, 0, 0, 0, 0, 0, 2], [1, 1, 1, 0, 0, 0, 2, 2, 2], [1, 0, 1, 0, 0, 0, 2, 0, 2], [1, 1, 0, 1, 0, 2, 0, 2, 2], [0, 1, 0, 0, 0, 0, 0, 2, 0], [1, 0, 1, 1, 0, 2, 2, 0, 2], [0, 1, 0, 0, 0, 0, 0, 2, 0], [1, 1, 1, 0, 0, 0, 2, 2, 2]]\nOutput: [[0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 2, 0, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 2, 0, 0, 0, 2, 2, 2]]\n\nExample 5\nInput: [[0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0], [1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2], [0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2], [0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0], [1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2], [0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0]]\nOutput: [[0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2], [0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2], [0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0]]\n\nExample 6\nInput: [[0, 1, 1, 2, 2, 0], [1, 1, 1, 2, 2, 2], [0, 0, 1, 2, 0, 0], [0, 1, 1, 2, 2, 0], [0, 1, 1, 2, 2, 0], [1, 1, 0, 0, 2, 2], [1, 1, 0, 0, 2, 2], [1, 0, 1, 2, 0, 2], [1, 0, 1, 2, 0, 2], [0, 1, 1, 2, 2, 0], [0, 0, 1, 2, 0, 0]]\nOutput: [[0, 2, 2, 2, 2, 0], [2, 2, 2, 2, 2, 2], [0, 0, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 0], [2, 2, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2], [2, 0, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0], [2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1], [0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0], [0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0], [0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1], [0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1]]
|
simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [8, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0], [8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8]]\n\nExample 2\nInput: [[0, 0, 8, 0, 8, 0, 0, 0, 0, 0], [8, 8, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 8, 0, 0, 0, 0, 0], [8, 0, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 8, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [8, 8, 0, 0, 0, 0, 0, 0, 8, 8], [8, 8, 0, 0, 0, 0, 0, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 0, 0, 0], [0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [8, 0, 8, 8, 0, 0, 8, 8, 0, 8], [0, 0, 8, 0, 8, 8, 0, 8, 0, 0]]\n\nExample 3\nInput: [[0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0], [8, 8, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0], [8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0], [0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0], [0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8]]\n\nExample 4\nInput: [[8, 8, 8, 0, 0, 0, 8, 0, 8], [8, 0, 0, 8, 0, 8, 0, 0, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0], [0, 8, 8, 0, 0, 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]]\nOutput: [[8, 8, 8, 0, 0, 0, 8, 0, 8], [8, 0, 0, 8, 0, 8, 0, 0, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0], [0, 8, 8, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 8, 8, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0], [8, 0, 0, 8, 0, 8, 0, 0, 0], [8, 8, 8, 0, 0, 0, 8, 0, 8]]\n\nExample 5\nInput: [[8, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8], [8, 0, 8, 8, 8, 8, 0, 0, 8], [8, 0, 8, 0, 0, 8, 8, 8, 8], [8, 0, 0, 0, 0, 0, 0, 8, 8], [0, 0, 8, 8, 0, 8, 0, 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, 0]]\nOutput: [[8, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8], [8, 0, 8, 8, 8, 8, 0, 0, 8], [8, 0, 8, 0, 0, 8, 8, 8, 8], [8, 0, 0, 0, 0, 0, 0, 8, 8], [0, 0, 8, 8, 0, 8, 0, 8, 8], [0, 0, 8, 8, 0, 8, 0, 8, 8], [8, 0, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 8, 8, 8, 8], [8, 0, 8, 8, 8, 8, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8], [8, 8, 0, 8, 8, 0, 0, 0, 0]]\n\nExample 6\nInput: [[8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 8, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 8, 8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[8, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 8, 8, 0, 8, 8, 0, 8, 8, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0, 0], [8, 0, 8, 0, 0, 0, 0, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 8, 0, 8], [8, 8, 0, 8, 8, 8, 8, 0, 8, 8], [0, 8, 8, 0, 0, 0, 0, 8, 8, 0], [8, 0, 8, 0, 0, 0, 0, 8, 0, 8], [8, 0, 8, 8, 0, 0, 8, 8, 0, 8], [8, 0, 0, 0, 0, 0, 0, 0, 0, 8], [8, 0, 0, 0, 8, 8, 0, 0, 0, 8], [0, 8, 0, 0, 0, 0, 0, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0, 8, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0], [0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8], [8, 0, 8, 8, 8, 0, 8, 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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0], [0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8], [8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0], [8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0], [0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[7, 7, 8, 8], [5, 7, 3, 9], [2, 4, 3, 9], [4, 4, 4, 4]]\nOutput: [[7, 7, 8, 8, 8, 8, 7, 7], [5, 7, 3, 9, 9, 3, 7, 5], [2, 4, 3, 9, 9, 3, 4, 2], [4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4], [2, 4, 3, 9, 9, 3, 4, 2], [5, 7, 3, 9, 9, 3, 7, 5], [7, 7, 8, 8, 8, 8, 7, 7]]\n\nExample 2\nInput: [[2, 9, 9, 5, 4], [5, 7, 9, 5, 4], [5, 4, 3, 3, 3], [8, 9, 1, 6, 4], [7, 8, 1, 6, 6]]\nOutput: [[2, 9, 9, 5, 4, 4, 5, 9, 9, 2], [5, 7, 9, 5, 4, 4, 5, 9, 7, 5], [5, 4, 3, 3, 3, 3, 3, 3, 4, 5], [8, 9, 1, 6, 4, 4, 6, 1, 9, 8], [7, 8, 1, 6, 6, 6, 6, 1, 8, 7], [7, 8, 1, 6, 6, 6, 6, 1, 8, 7], [8, 9, 1, 6, 4, 4, 6, 1, 9, 8], [5, 4, 3, 3, 3, 3, 3, 3, 4, 5], [5, 7, 9, 5, 4, 4, 5, 9, 7, 5], [2, 9, 9, 5, 4, 4, 5, 9, 9, 2]]\n\nExample 3\nInput: [[7, 7, 8, 9, 7], [1, 7, 9, 9, 8], [1, 5, 2, 2, 2], [5, 5, 2, 1, 5], [5, 9, 4, 5, 6]]\nOutput: [[7, 7, 8, 9, 7, 7, 9, 8, 7, 7], [1, 7, 9, 9, 8, 8, 9, 9, 7, 1], [1, 5, 2, 2, 2, 2, 2, 2, 5, 1], [5, 5, 2, 1, 5, 5, 1, 2, 5, 5], [5, 9, 4, 5, 6, 6, 5, 4, 9, 5], [5, 9, 4, 5, 6, 6, 5, 4, 9, 5], [5, 5, 2, 1, 5, 5, 1, 2, 5, 5], [1, 5, 2, 2, 2, 2, 2, 2, 5, 1], [1, 7, 9, 9, 8, 8, 9, 9, 7, 1], [7, 7, 8, 9, 7, 7, 9, 8, 7, 7]]\n\nExample 4\nInput: [[6, 1, 8], [1, 1, 4], [1, 6, 2]]\nOutput: [[6, 1, 8, 8, 1, 6], [1, 1, 4, 4, 1, 1], [1, 6, 2, 2, 6, 1], [1, 6, 2, 2, 6, 1], [1, 1, 4, 4, 1, 1], [6, 1, 8, 8, 1, 6]]\n\nExample 5\nInput: [[7, 8, 2, 4, 4], [7, 8, 8, 8, 4], [4, 8, 8, 8, 8], [4, 3, 5, 7, 3], [4, 7, 1, 1, 3]]\nOutput: [[7, 8, 2, 4, 4, 4, 4, 2, 8, 7], [7, 8, 8, 8, 4, 4, 8, 8, 8, 7], [4, 8, 8, 8, 8, 8, 8, 8, 8, 4], [4, 3, 5, 7, 3, 3, 7, 5, 3, 4], [4, 7, 1, 1, 3, 3, 1, 1, 7, 4], [4, 7, 1, 1, 3, 3, 1, 1, 7, 4], [4, 3, 5, 7, 3, 3, 7, 5, 3, 4], [4, 8, 8, 8, 8, 8, 8, 8, 8, 4], [7, 8, 8, 8, 4, 4, 8, 8, 8, 7], [7, 8, 2, 4, 4, 4, 4, 2, 8, 7]]\n\nExample 6\nInput: [[2, 1, 2, 2, 2], [2, 9, 2, 8, 8], [2, 8, 7, 7, 5], [2, 4, 4, 7, 8], [3, 5, 4, 1, 1]]\nOutput: [[2, 1, 2, 2, 2, 2, 2, 2, 1, 2], [2, 9, 2, 8, 8, 8, 8, 2, 9, 2], [2, 8, 7, 7, 5, 5, 7, 7, 8, 2], [2, 4, 4, 7, 8, 8, 7, 4, 4, 2], [3, 5, 4, 1, 1, 1, 1, 4, 5, 3], [3, 5, 4, 1, 1, 1, 1, 4, 5, 3], [2, 4, 4, 7, 8, 8, 7, 4, 4, 2], [2, 8, 7, 7, 5, 5, 7, 7, 8, 2], [2, 9, 2, 8, 8, 8, 8, 2, 9, 2], [2, 1, 2, 2, 2, 2, 2, 2, 1, 2]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[5, 9, 1, 7], [5, 5, 5, 9], [5, 6, 6, 2], [5, 5, 3, 8]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[5, 9, 1, 7, 7, 1, 9, 5], [5, 5, 5, 9, 9, 5, 5, 5], [5, 6, 6, 2, 2, 6, 6, 5], [5, 5, 3, 8, 8, 3, 5, 5], [5, 5, 3, 8, 8, 3, 5, 5], [5, 6, 6, 2, 2, 6, 6, 5], [5, 5, 5, 9, 9, 5, 5, 5], [5, 9, 1, 7, 7, 1, 9, 5]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[7, 0, 6, 9], [0, 6, 9, 0], [0, 7, 0, 0], [7, 1, 0, 4]]\nOutput: [[7, 7, 1, 1, 0, 0, 4, 4], [7, 7, 1, 1, 0, 0, 4, 4], [0, 0, 7, 7, 0, 0, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0], [0, 0, 6, 6, 9, 9, 0, 0], [0, 0, 6, 6, 9, 9, 0, 0], [7, 7, 0, 0, 6, 6, 9, 9], [7, 7, 0, 0, 6, 6, 9, 9]]\n\nExample 2\nInput: [[0, 0, 2, 0, 2], [9, 0, 0, 9, 9], [0, 8, 0, 7, 0], [0, 4, 0, 7, 0], [0, 8, 0, 0, 0]]\nOutput: [[0, 0, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 0, 7, 7, 0, 0], [0, 0, 4, 4, 0, 0, 7, 7, 0, 0], [0, 0, 8, 8, 0, 0, 7, 7, 0, 0], [0, 0, 8, 8, 0, 0, 7, 7, 0, 0], [9, 9, 0, 0, 0, 0, 9, 9, 9, 9], [9, 9, 0, 0, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [0, 0, 0, 0, 2, 2, 0, 0, 2, 2]]\n\nExample 3\nInput: [[9, 2, 0, 1, 6], [5, 0, 0, 4, 0], [0, 0, 0, 9, 0], [0, 0, 7, 0, 0], [0, 0, 0, 0, 9]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 7, 7, 0, 0, 0, 0], [0, 0, 0, 0, 7, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [5, 5, 0, 0, 0, 0, 4, 4, 0, 0], [5, 5, 0, 0, 0, 0, 4, 4, 0, 0], [9, 9, 2, 2, 0, 0, 1, 1, 6, 6], [9, 9, 2, 2, 0, 0, 1, 1, 6, 6]]\n\nExample 4\nInput: [[6, 0, 6], [0, 0, 1], [0, 5, 0]]\nOutput: [[0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 1, 1], [6, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6]]\n\nExample 5\nInput: [[4, 8, 0, 8, 6], [0, 0, 0, 0, 0], [0, 0, 0, 0, 5], [0, 3, 5, 8, 8], [0, 4, 0, 0, 0]]\nOutput: [[0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 5, 5, 8, 8, 8, 8], [0, 0, 3, 3, 5, 5, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 8, 8, 0, 0, 8, 8, 6, 6], [4, 4, 8, 8, 0, 0, 8, 8, 6, 6]]\n\nExample 6\nInput: [[0, 4, 0, 0, 0], [0, 5, 0, 9, 0], [2, 0, 0, 0, 3], [0, 0, 0, 0, 0], [0, 5, 0, 6, 0]]\nOutput: [[0, 0, 5, 5, 0, 0, 6, 6, 0, 0], [0, 0, 5, 5, 0, 0, 6, 6, 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, 3, 3], [2, 2, 0, 0, 0, 0, 0, 0, 3, 3], [0, 0, 5, 5, 0, 0, 9, 9, 0, 0], [0, 0, 5, 5, 0, 0, 9, 9, 0, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[9, 1, 0, 3], [0, 0, 0, 2], [0, 0, 1, 0], [0, 5, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2], [0, 0, 0, 0, 0, 0, 2, 2], [9, 9, 1, 1, 0, 0, 3, 3], [9, 9, 1, 1, 0, 0, 3, 3]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[1, 1, 0, 0, 1], [1, 0, 0, 2, 1], [1, 0, 0, 1, 1], [1, 0, 1, 0, 0], [1, 0, 0, 0, 0]]\nOutput: [[1, 1, 0, 0, 1], [2, 0, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 0, 0], [1, 0, 0, 0, 0]]\n\nExample 2\nInput: [[1, 0, 0, 2, 1], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 2, 1, 2, 1], [1, 0, 2, 1, 0]]\nOutput: [[2, 0, 0, 0, 1], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 2, 1, 2, 1], [2, 0, 0, 1, 0]]\n\nExample 3\nInput: [[1, 0, 0, 2, 1], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0]]\nOutput: [[2, 0, 0, 0, 1], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0]]\n\nExample 4\nInput: [[1, 1, 0, 2, 1], [1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 0], [1, 0, 1, 2, 1]]\nOutput: [[2, 1, 0, 0, 1], [1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 0], [2, 0, 1, 0, 1]]\n\nExample 5\nInput: [[1, 0, 2, 1, 0], [1, 1, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 2, 1, 0], [1, 0, 0, 0, 0]]\nOutput: [[2, 0, 0, 1, 0], [1, 1, 0, 0, 0], [1, 1, 0, 0, 0], [2, 1, 0, 1, 0], [1, 0, 0, 0, 0]]\n\nExample 6\nInput: [[1, 1, 0, 2, 1], [1, 0, 0, 0, 0], [1, 1, 0, 2, 1], [1, 0, 0, 0, 0], [1, 1, 0, 0, 1]]\nOutput: [[2, 1, 0, 0, 1], [1, 0, 0, 0, 0], [1, 1, 0, 2, 1], [1, 0, 0, 0, 0], [1, 1, 0, 0, 1]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[1, 2, 1, 0, 0], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 2, 1, 0], [1, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[2, 0, 1, 0, 0], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 2, 1, 0], [1, 0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0]]\nOutput: [[0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0], [0, 0, 7, 0, 0], [0, 0, 7, 0, 0], [0, 0, 7, 0, 0], [0, 0, 7, 0, 0], [0, 0, 7, 0, 0]]\nOutput: [[0, 0, 7, 0, 0], [0, 0, 7, 0, 0], [0, 0, 7, 0, 0], [0, 0, 7, 0, 0], [0, 0, 7, 0, 0], [0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 2, 0, 0]]\nOutput: [[0, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 2, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0]]\nOutput: [[0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0], [0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 6, 0, 0], [0, 0, 0, 0, 0]]
|
simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0], [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, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 2, 6, 0, 0, 0, 0], [0, 0, 0, 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]]\n\nExample 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, 2, 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, 0, 0, 0], [0, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 2, 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]]\n\nExample 3\nInput: [[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, 0, 0, 0, 0], [0, 0, 0, 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, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 2, 4, 0, 0, 0, 0], [0, 0, 0, 0, 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]]\n\nExample 4\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, 5, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 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, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 2, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 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]]\n\nExample 5\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, 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]]\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, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 8, 2, 8, 0, 0, 0], [0, 0, 0, 0, 0, 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]]\n\nExample 6\nInput: [[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]]\nOutput: [[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, 0, 0], [0, 0, 4, 2, 4, 0, 0], [0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[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], [0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[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, 0], [0, 0, 0, 1, 2, 1, 0], [0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[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, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0], [0, 0, 6, 0, 0, 6, 6, 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]]\nOutput: [[0, 6, 6, 6, 6], [6, 6, 6, 6, 6], [6, 0, 6, 6, 6], [6, 0, 0, 6, 6], [6, 6, 6, 6, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 4, 0], [4, 4, 4], [0, 4, 0]]\n\nExample 3\nInput: [[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, 0, 0], [0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 0, 4, 4, 4, 4, 4, 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, 0, 0]]\nOutput: [[0, 0, 4, 4, 4], [4, 0, 4, 4, 4], [4, 4, 4, 4, 4], [0, 0, 0, 0, 4]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 9, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[9, 9, 9, 9], [0, 9, 9, 0], [0, 9, 9, 0], [9, 9, 9, 9]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[1, 0, 1, 1], [1, 1, 1, 0], [0, 1, 1, 1], [1, 1, 0, 1]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 9, 0, 9, 9, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[9, 9, 9, 0], [9, 0, 9, 9], [9, 9, 9, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 8, 8, 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]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 8, 0], [8, 8, 8, 0], [0, 8, 8, 8], [0, 8, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 1, 3, 8, 1, 0, 0], [0, 0, 3, 3, 9, 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, 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, 8, 1, 0, 0], [0, 0, 3, 8, 9, 8, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 1, 3, 0, 0, 0]]\n\nExample 2\nInput: [[0, 5, 5, 5, 0, 0, 0], [0, 5, 4, 5, 0, 0, 0], [0, 6, 5, 5, 5, 4, 0], [0, 0, 0, 5, 5, 2, 0], [6, 6, 0, 3, 3, 2, 0], [6, 6, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 9, 0]]\nOutput: [[0, 5, 5, 5, 0, 0, 0], [0, 5, 4, 5, 0, 0, 0], [0, 6, 5, 5, 5, 4, 0], [0, 0, 0, 5, 5, 2, 0], [6, 6, 6, 3, 3, 2, 0], [6, 6, 6, 0, 9, 9, 0], [0, 0, 0, 0, 9, 9, 0]]\n\nExample 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], [2, 1, 0, 0, 0, 0, 0, 0, 0], [6, 9, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 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], [2, 1, 0, 6, 6, 0, 0, 0, 0], [6, 9, 1, 9, 6, 0, 0, 0, 0], [6, 6, 2, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 1, 4, 0, 0, 0, 0, 0], [0, 0, 1, 4, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 4, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 2, 6, 0, 0, 0, 0, 0], [0, 0, 6, 9, 6, 0, 2, 2, 2], [0, 0, 1, 6, 2, 0, 2, 2, 2], [0, 5, 5, 0, 0, 0, 2, 2, 2], [0, 5, 5, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 1, 4, 0, 0, 1, 1, 1], [0, 0, 1, 4, 1, 1, 1, 4, 1], [0, 0, 0, 0, 1, 4, 1, 1, 1], [0, 0, 0, 0, 1, 4, 4, 0, 0], [0, 0, 2, 6, 0, 1, 6, 2, 0], [0, 0, 6, 9, 6, 6, 9, 6, 2], [0, 0, 1, 6, 2, 2, 6, 1, 2], [0, 5, 5, 0, 0, 0, 2, 2, 2], [0, 5, 5, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 1, 0, 0, 0, 0, 7, 7, 7], [4, 1, 0, 0, 0, 0, 3, 5, 3], [0, 0, 0, 0, 0, 0, 3, 5, 3], [0, 2, 4, 4, 0, 0, 0, 0, 0], [0, 8, 4, 4, 0, 0, 1, 2, 0], [0, 8, 8, 2, 0, 0, 2, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 1, 1, 0, 0, 0, 7, 7, 7], [4, 4, 4, 0, 0, 0, 3, 5, 7], [0, 0, 0, 0, 0, 0, 3, 5, 7], [0, 2, 4, 4, 4, 2, 0, 0, 0], [0, 8, 4, 4, 4, 8, 1, 2, 6], [0, 8, 8, 2, 8, 8, 2, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[5, 5, 5, 0, 0], [5, 5, 5, 0, 0], [5, 5, 5, 0, 0], [0, 3, 3, 6, 6], [0, 4, 3, 6, 6], [0, 0, 0, 0, 0]]\nOutput: [[5, 5, 5, 0, 0], [5, 5, 5, 0, 0], [5, 5, 5, 0, 5], [0, 3, 3, 6, 5], [0, 4, 3, 6, 5], [0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0], [0, 0, 1, 1, 0], [0, 0, 1, 1, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0], [0, 0, 1, 1, 1], [0, 0, 1, 1, 1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[7, 4, 1, 2, 3, 6, 1, 5, 2, 7, 9], [1, 8, 9, 5, 9, 9, 8, 8, 9, 6, 7], [1, 7, 9, 6, 3, 3, 4, 4, 7, 4, 1], [8, 8, 6, 7, 1, 3, 2, 6, 1, 8, 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]]\nOutput: [[7, 4, 1, 2, 3, 6, 1, 5, 2, 7, 9], [1, 8, 9, 5, 9, 9, 8, 8, 9, 6, 7], [1, 7, 9, 6, 3, 3, 4, 4, 7, 4, 1], [8, 8, 6, 7, 1, 3, 2, 6, 1, 8, 2], [8, 8, 6, 7, 1, 3, 2, 6, 1, 8, 2], [1, 7, 9, 6, 3, 3, 4, 4, 7, 4, 1], [1, 8, 9, 5, 9, 9, 8, 8, 9, 6, 7], [7, 4, 1, 2, 3, 6, 1, 5, 2, 7, 9]]\n\nExample 2\nInput: [[9, 4, 4, 2, 3, 1, 7, 8, 6, 7], [5, 6, 1, 8, 4, 7, 3, 8, 1, 1], [9, 3, 7, 5, 2, 4, 6, 8, 7, 5], [6, 8, 9, 4, 9, 6, 1, 5, 3, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[9, 4, 4, 2, 3, 1, 7, 8, 6, 7], [5, 6, 1, 8, 4, 7, 3, 8, 1, 1], [9, 3, 7, 5, 2, 4, 6, 8, 7, 5], [6, 8, 9, 4, 9, 6, 1, 5, 3, 5], [6, 8, 9, 4, 9, 6, 1, 5, 3, 5], [9, 3, 7, 5, 2, 4, 6, 8, 7, 5], [5, 6, 1, 8, 4, 7, 3, 8, 1, 1], [9, 4, 4, 2, 3, 1, 7, 8, 6, 7]]\n\nExample 3\nInput: [[6, 5, 3, 6, 9, 5, 9, 1, 6, 5], [6, 5, 6, 9, 9, 7, 6, 6, 6, 8], [9, 4, 1, 7, 7, 6, 5, 1, 2, 6], [9, 2, 8, 7, 1, 7, 4, 8, 3, 5], [7, 2, 6, 3, 3, 9, 7, 8, 8, 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]]\nOutput: [[6, 5, 3, 6, 9, 5, 9, 1, 6, 5], [6, 5, 6, 9, 9, 7, 6, 6, 6, 8], [9, 4, 1, 7, 7, 6, 5, 1, 2, 6], [9, 2, 8, 7, 1, 7, 4, 8, 3, 5], [7, 2, 6, 3, 3, 9, 7, 8, 8, 4], [7, 2, 6, 3, 3, 9, 7, 8, 8, 4], [9, 2, 8, 7, 1, 7, 4, 8, 3, 5], [9, 4, 1, 7, 7, 6, 5, 1, 2, 6], [6, 5, 6, 9, 9, 7, 6, 6, 6, 8], [6, 5, 3, 6, 9, 5, 9, 1, 6, 5]]\n\nExample 4\nInput: [[8, 5, 4, 6, 8, 6], [9, 1, 4, 3, 1, 3], [5, 3, 9, 2, 1, 7], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[8, 5, 4, 6, 8, 6], [9, 1, 4, 3, 1, 3], [5, 3, 9, 2, 1, 7], [5, 3, 9, 2, 1, 7], [9, 1, 4, 3, 1, 3], [8, 5, 4, 6, 8, 6]]\n\nExample 5\nInput: [[8, 6, 3, 8, 6, 2, 2], [7, 1, 8, 6, 3, 3, 9], [7, 4, 4, 9, 4, 3, 1], [3, 1, 7, 3, 1, 3, 6], [3, 1, 4, 5, 8, 2, 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, 0, 0, 0, 0, 0]]\nOutput: [[8, 6, 3, 8, 6, 2, 2], [7, 1, 8, 6, 3, 3, 9], [7, 4, 4, 9, 4, 3, 1], [3, 1, 7, 3, 1, 3, 6], [3, 1, 4, 5, 8, 2, 5], [3, 1, 4, 5, 8, 2, 5], [3, 1, 7, 3, 1, 3, 6], [7, 4, 4, 9, 4, 3, 1], [7, 1, 8, 6, 3, 3, 9], [8, 6, 3, 8, 6, 2, 2]]\n\nExample 6\nInput: [[3, 4, 5, 1, 5, 3, 3, 9], [7, 9, 8, 8, 7, 3, 9, 1], [2, 2, 7, 8, 7, 7, 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]]\nOutput: [[3, 4, 5, 1, 5, 3, 3, 9], [7, 9, 8, 8, 7, 3, 9, 1], [2, 2, 7, 8, 7, 7, 2, 2], [2, 2, 7, 8, 7, 7, 2, 2], [7, 9, 8, 8, 7, 3, 9, 1], [3, 4, 5, 1, 5, 3, 3, 9]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[9, 5, 8, 8, 5, 4, 7], [4, 8, 9, 8, 8, 7, 2], [1, 9, 7, 4, 6, 1, 6], [5, 9, 8, 6, 4, 7, 6], [1, 2, 9, 7, 7, 4, 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, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[9, 5, 8, 8, 5, 4, 7], [4, 8, 9, 8, 8, 7, 2], [1, 9, 7, 4, 6, 1, 6], [5, 9, 8, 6, 4, 7, 6], [1, 2, 9, 7, 7, 4, 5], [1, 2, 9, 7, 7, 4, 5], [5, 9, 8, 6, 4, 7, 6], [1, 9, 7, 4, 6, 1, 6], [4, 8, 9, 8, 8, 7, 2], [9, 5, 8, 8, 5, 4, 7]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 5, 0, 9, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5], [0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 5], [0, 5, 0, 0, 9, 0]]\nOutput: [[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5], [5, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0], [9, 0, 0, 9, 0, 9], [0, 0, 5, 0, 5, 0]]\n\nExample 2\nInput: [[0, 0, 9, 0, 0], [6, 0, 0, 0, 0], [0, 0, 0, 0, 0], [5, 0, 0, 0, 0], [6, 8, 0, 0, 0]]\nOutput: [[0, 6, 0, 5, 6], [0, 0, 0, 0, 8], [9, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0]]\nOutput: [[0, 0, 0, 0, 0], [0, 7, 0, 0, 0], [0, 0, 7, 0, 7], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [7, 0, 0, 0, 7], [7, 0, 0, 7, 0]]\n\nExample 4\nInput: [[0, 0, 9, 4, 0, 4, 4], [0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 0, 9, 9, 9], [0, 0, 0, 9, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 9, 0, 0], [0, 4, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0], [4, 0, 0, 0, 9, 9, 0], [4, 4, 0, 0, 0, 9, 0]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 6, 0, 0, 0], [0, 7, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 7], [0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 7, 3, 0]]\nOutput: [[0, 0, 0, 0, 0, 0], [0, 2, 7, 0, 0, 0], [0, 0, 0, 0, 2, 0], [0, 6, 0, 0, 0, 0], [0, 0, 2, 0, 0, 7], [0, 0, 0, 0, 0, 3], [0, 0, 0, 7, 0, 0]]\n\nExample 6\nInput: [[3, 0, 0], [0, 6, 0], [0, 0, 0], [7, 0, 7]]\nOutput: [[3, 0, 0, 7], [0, 6, 0, 0], [0, 0, 0, 7]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[6, 7, 4], [4, 7, 0], [0, 7, 7], [0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[6, 4, 0, 0], [7, 7, 7, 0], [4, 0, 7, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[4, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2], [0, 4, 0, 0, 0, 2], [0, 0, 2, 2, 2, 0], [0, 0, 2, 4, 0, 2], [2, 0, 4, 0, 0, 0], [4, 0, 0, 0, 0, 0]]\nOutput: [[4, 4, 4, 4, 4, 4], [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], [4, 4, 4, 4, 4, 4]]\n\nExample 2\nInput: [[0, 0, 0, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0], [0, 4, 0, 0, 0, 2, 4, 4], [2, 0, 0, 4, 0, 0, 4, 0]]\nOutput: [[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]\n\nExample 3\nInput: [[0, 4, 0, 0, 0, 0, 4, 2, 0], [0, 4, 0, 0, 0, 0, 2, 0, 0], [0, 4, 4, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 2, 0, 4, 0, 0]]\nOutput: [[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]]\n\nExample 4\nInput: [[2, 0, 0, 0, 0, 0, 2], [2, 0, 0, 2, 0, 4, 0], [0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 4, 0, 0, 0], [0, 2, 0, 0, 2, 0, 2], [0, 2, 2, 0, 0, 0, 0]]\nOutput: [[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]]\n\nExample 5\nInput: [[4, 2, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 4, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 2, 4, 4, 2, 0, 0], [0, 0, 2, 0, 0, 4, 4, 0, 0], [2, 0, 0, 0, 0, 4, 0, 4, 0]]\nOutput: [[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]]\n\nExample 6\nInput: [[0, 0, 4, 0], [0, 0, 2, 0], [0, 4, 0, 4], [0, 0, 2, 0], [0, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0]]\nOutput: [[4, 4, 4, 4], [2, 2, 2, 2], [4, 4, 4, 4], [2, 2, 2, 2], [0, 0, 0, 0], [2, 2, 2, 2], [0, 0, 0, 0], [0, 0, 0, 0], [4, 4, 4, 4]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0], [4, 2, 0, 2, 0, 2, 0, 4, 2], [4, 0, 0, 0, 0, 2, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[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]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 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, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 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], [8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[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]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 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, 0, 0, 0, 0]]\nOutput: [[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, 0]]\n\nExample 4\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, 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, 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, 4, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0]]\n\nExample 5\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, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 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]]\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, 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]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0], [0, 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]]\nOutput: [[0, 0, 0, 0, 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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0], [0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 4, 4, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 4, 3, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[4, 4, 0], [4, 0, 4]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 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, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 8, 3, 8, 8, 0], [0, 0, 0, 0, 0, 8, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 8, 8, 8, 0]]\nOutput: [[8, 8, 8, 8], [8, 0, 8, 8], [8, 0, 0, 8], [8, 8, 8, 8]]\n\nExample 3\nInput: [[0, 0, 0, 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, 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, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 3, 1, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1]]\nOutput: [[1, 1, 0], [1, 0, 1]]\n\nExample 4\nInput: [[0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 3, 4, 0, 0, 0], [0, 0, 0, 0, 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, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0]]\nOutput: [[4, 0, 0], [4, 0, 4], [4, 4, 4]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 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], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 1, 3, 1, 0, 1, 1, 0, 0], [0, 0, 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]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[1, 1, 1], [1, 0, 1], [1, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 0, 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]]\nOutput: [[0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 0, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 0, 6, 6, 0, 6, 6], [0, 0, 6, 0, 0, 6, 0, 0]]\n\nExample 2\nInput: [[8, 0, 8, 0, 0, 0], [8, 8, 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]]\nOutput: [[8, 0, 8, 8, 0, 8], [8, 8, 8, 8, 8, 8], [0, 0, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0], [8, 8, 8, 8, 8, 8], [8, 0, 8, 8, 0, 8]]\n\nExample 3\nInput: [[4, 0, 4, 0, 0, 0], [4, 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]]\nOutput: [[4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4], [4, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 4], [4, 4, 0, 0, 4, 4], [4, 0, 4, 4, 0, 4]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0], [6, 0, 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]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
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[[0, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 6, 0], [6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 8, 0, 6, 0, 0, 5, 0, 7, 9, 0], [8, 0, 2, 9, 8, 0, 6, 0, 0, 0, 2, 0], [3, 3, 0, 8, 3, 1, 0, 2, 0, 4, 0, 9], [8, 0, 8, 0, 4, 0, 8, 0, 0, 0, 4, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2], [6, 9, 9, 7, 0, 8, 4, 0, 0, 2, 0, 0], [6, 0, 0, 0, 6, 1, 9, 0, 0, 0, 9, 3], [5, 0, 0, 7, 6, 0, 0, 1, 3, 5, 5, 7]]\nOutput: [[5, 0, 0, 7, 6, 0, 0, 1, 3, 5, 5, 7], [0, 0, 8, 0, 6, 0, 0, 5, 0, 7, 9, 0], [8, 0, 2, 9, 8, 0, 6, 0, 0, 0, 2, 0], [3, 3, 0, 8, 3, 1, 0, 2, 0, 4, 0, 9], [8, 0, 8, 0, 4, 0, 8, 0, 0, 0, 4, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2], [6, 9, 9, 7, 0, 8, 4, 0, 0, 2, 0, 0], [6, 0, 0, 0, 6, 1, 9, 0, 0, 0, 9, 3]]\n\nExample 2\nInput: [[9, 4, 6, 0, 6, 0, 5, 0, 0, 0], [8, 2, 0, 9, 0, 7, 0, 8, 0, 0], [6, 9, 0, 0, 0, 2, 0, 0, 4, 0], [5, 0, 2, 0, 0, 5, 7, 5, 4, 9], [0, 3, 0, 9, 9, 2, 0, 3, 5, 7], [0, 0, 3, 9, 5, 2, 0, 0, 0, 6], [5, 1, 3, 3, 3, 4, 0, 0, 3, 6]]\nOutput: [[5, 1, 3, 3, 3, 4, 0, 0, 3, 6], [9, 4, 6, 0, 6, 0, 5, 0, 0, 0], [8, 2, 0, 9, 0, 7, 0, 8, 0, 0], [6, 9, 0, 0, 0, 2, 0, 0, 4, 0], [5, 0, 2, 0, 0, 5, 7, 5, 4, 9], [0, 3, 0, 9, 9, 2, 0, 3, 5, 7], [0, 0, 3, 9, 5, 2, 0, 0, 0, 6]]\n\nExample 3\nInput: [[5, 0, 2, 2, 0, 3, 4, 2, 6, 0, 6], [0, 4, 0, 0, 6, 0, 9, 0, 0, 8, 3], [1, 4, 1, 6, 0, 0, 0, 6, 2, 0, 0], [8, 6, 9, 8, 6, 0, 0, 2, 0, 0, 4], [0, 6, 7, 1, 8, 0, 1, 5, 0, 0, 5], [8, 9, 1, 0, 4, 2, 7, 0, 6, 3, 1], [0, 5, 0, 0, 5, 0, 8, 5, 2, 0, 1]]\nOutput: [[0, 5, 0, 0, 5, 0, 8, 5, 2, 0, 1], [5, 0, 2, 2, 0, 3, 4, 2, 6, 0, 6], [0, 4, 0, 0, 6, 0, 9, 0, 0, 8, 3], [1, 4, 1, 6, 0, 0, 0, 6, 2, 0, 0], [8, 6, 9, 8, 6, 0, 0, 2, 0, 0, 4], [0, 6, 7, 1, 8, 0, 1, 5, 0, 0, 5], [8, 9, 1, 0, 4, 2, 7, 0, 6, 3, 1]]\n\nExample 4\nInput: [[0, 0, 0, 0, 9, 0, 2, 0, 0], [9, 2, 0, 0, 8, 9, 1, 7, 8], [7, 0, 0, 0, 3, 0, 8, 8, 0], [0, 0, 0, 0, 7, 0, 4, 7, 0], [6, 8, 0, 0, 0, 7, 0, 8, 0], [0, 8, 3, 3, 0, 0, 4, 0, 0], [7, 3, 0, 0, 2, 0, 4, 0, 0], [0, 2, 0, 8, 0, 9, 0, 0, 7], [0, 3, 0, 0, 8, 0, 0, 4, 0]]\nOutput: [[0, 3, 0, 0, 8, 0, 0, 4, 0], [0, 0, 0, 0, 9, 0, 2, 0, 0], [9, 2, 0, 0, 8, 9, 1, 7, 8], [7, 0, 0, 0, 3, 0, 8, 8, 0], [0, 0, 0, 0, 7, 0, 4, 7, 0], [6, 8, 0, 0, 0, 7, 0, 8, 0], [0, 8, 3, 3, 0, 0, 4, 0, 0], [7, 3, 0, 0, 2, 0, 4, 0, 0], [0, 2, 0, 8, 0, 9, 0, 0, 7]]\n\nExample 5\nInput: [[0, 0, 0, 1, 5, 0, 0, 0, 0], [5, 0, 3, 5, 2, 5, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 4], [6, 4, 0, 8, 0, 2, 8, 1, 0], [2, 0, 7, 0, 0, 0, 0, 5, 4], [1, 2, 0, 4, 4, 8, 0, 1, 3], [6, 0, 0, 5, 2, 7, 4, 5, 3], [0, 8, 2, 2, 0, 1, 9, 3, 8], [0, 8, 1, 7, 3, 3, 0, 5, 0], [0, 0, 6, 0, 7, 0, 0, 0, 8], [0, 0, 7, 0, 0, 7, 7, 7, 0], [3, 0, 6, 0, 1, 0, 0, 0, 0]]\nOutput: [[3, 0, 6, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 5, 0, 0, 0, 0], [5, 0, 3, 5, 2, 5, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 4], [6, 4, 0, 8, 0, 2, 8, 1, 0], [2, 0, 7, 0, 0, 0, 0, 5, 4], [1, 2, 0, 4, 4, 8, 0, 1, 3], [6, 0, 0, 5, 2, 7, 4, 5, 3], [0, 8, 2, 2, 0, 1, 9, 3, 8], [0, 8, 1, 7, 3, 3, 0, 5, 0], [0, 0, 6, 0, 7, 0, 0, 0, 8], [0, 0, 7, 0, 0, 7, 7, 7, 0]]\n\nExample 6\nInput: [[0, 6, 0, 0, 8, 0, 3, 9, 0, 0], [7, 5, 1, 0, 1, 3, 7, 0, 4, 0], [3, 7, 0, 5, 0, 0, 0, 0, 6, 3], [7, 0, 0, 1, 0, 0, 8, 9, 5, 0], [7, 0, 0, 2, 0, 9, 0, 0, 1, 0], [2, 1, 0, 8, 5, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 8, 5, 0], [4, 4, 3, 0, 0, 0, 0, 0, 8, 0], [0, 3, 6, 9, 0, 0, 0, 0, 2, 0], [5, 3, 0, 0, 0, 0, 6, 0, 0, 3], [7, 9, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 9, 2, 5, 9, 3], [4, 0, 0, 0, 2, 0, 0, 2, 8, 0], [0, 7, 0, 2, 7, 5, 0, 0, 4, 3]]\nOutput: [[0, 7, 0, 2, 7, 5, 0, 0, 4, 3], [0, 6, 0, 0, 8, 0, 3, 9, 0, 0], [7, 5, 1, 0, 1, 3, 7, 0, 4, 0], [3, 7, 0, 5, 0, 0, 0, 0, 6, 3], [7, 0, 0, 1, 0, 0, 8, 9, 5, 0], [7, 0, 0, 2, 0, 9, 0, 0, 1, 0], [2, 1, 0, 8, 5, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 8, 5, 0], [4, 4, 3, 0, 0, 0, 0, 0, 8, 0], [0, 3, 6, 9, 0, 0, 0, 0, 2, 0], [5, 3, 0, 0, 0, 0, 6, 0, 0, 3], [7, 9, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 9, 2, 5, 9, 3], [4, 0, 0, 0, 2, 0, 0, 2, 8, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[1, 0, 1, 1, 3, 2, 0, 0, 6, 4, 9], [7, 0, 1, 6, 4, 0, 0, 0, 3, 0, 8], [0, 8, 7, 0, 5, 0, 0, 3, 4, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 9, 0, 0, 0, 5, 1, 0, 0], [5, 0, 8, 0, 0, 0, 0, 8, 3, 6, 6]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[5, 0, 8, 0, 0, 0, 0, 8, 3, 6, 6], [1, 0, 1, 1, 3, 2, 0, 0, 6, 4, 9], [7, 0, 1, 6, 4, 0, 0, 0, 3, 0, 8], [0, 8, 7, 0, 5, 0, 0, 3, 4, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 9, 0, 0, 0, 5, 1, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[7, 6, 6, 6, 7], [5, 1, 1, 1, 5], [1, 1, 1, 1, 1], [1, 5, 1, 5, 1]]\nOutput: [[7, 6, 6, 6, 7, 7, 6, 6, 6, 7], [5, 1, 1, 1, 5, 5, 1, 1, 1, 5], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 5, 1, 5, 1, 1, 5, 1, 5, 1]]\n\nExample 2\nInput: [[2, 2, 2, 2], [7, 7, 7, 7], [3, 7, 7, 3], [3, 8, 8, 3], [7, 4, 4, 7]]\nOutput: [[2, 2, 2, 2, 2, 2, 2, 2], [7, 7, 7, 7, 7, 7, 7, 7], [3, 7, 7, 3, 3, 7, 7, 3], [3, 8, 8, 3, 3, 8, 8, 3], [7, 4, 4, 7, 7, 4, 4, 7]]\n\nExample 3\nInput: [[7, 7, 8, 9, 7], [1, 7, 9, 9, 8], [1, 5, 2, 2, 2], [5, 5, 2, 1, 5], [5, 9, 4, 5, 6]]\nOutput: [[7, 7, 8, 9, 7, 7, 9, 8, 7, 7], [1, 7, 9, 9, 8, 8, 9, 9, 7, 1], [1, 5, 2, 2, 2, 2, 2, 2, 5, 1], [5, 5, 2, 1, 5, 5, 1, 2, 5, 5], [5, 9, 4, 5, 6, 6, 5, 4, 9, 5]]\n\nExample 4\nInput: [[1, 1, 1], [1, 4, 1], [1, 1, 1]]\nOutput: [[1, 1, 1, 1, 1, 1], [1, 4, 1, 1, 4, 1], [1, 1, 1, 1, 1, 1]]\n\nExample 5\nInput: [[3, 2, 2], [8, 7, 7], [4, 3, 7], [4, 7, 7], [4, 1, 5]]\nOutput: [[3, 2, 2, 2, 2, 3], [8, 7, 7, 7, 7, 8], [4, 3, 7, 7, 3, 4], [4, 7, 7, 7, 7, 4], [4, 1, 5, 5, 1, 4]]\n\nExample 6\nInput: [[7, 4, 4, 7], [7, 4, 4, 7], [6, 6, 6, 6], [7, 4, 4, 7], [7, 4, 4, 7]]\nOutput: [[7, 4, 4, 7, 7, 4, 4, 7], [7, 4, 4, 7, 7, 4, 4, 7], [6, 6, 6, 6, 6, 6, 6, 6], [7, 4, 4, 7, 7, 4, 4, 7], [7, 4, 4, 7, 7, 4, 4, 7]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[5, 5, 9, 1, 1], [5, 5, 5, 5, 4], [5, 6, 6, 1, 2], [5, 5, 3, 8, 8]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[5, 5, 9, 1, 1, 1, 1, 9, 5, 5], [5, 5, 5, 5, 4, 4, 5, 5, 5, 5], [5, 6, 6, 1, 2, 2, 1, 6, 6, 5], [5, 5, 3, 8, 8, 8, 8, 3, 5, 5]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[7, 0, 7, 0, 7], [0, 0, 0, 0, 0], [0, 7, 0, 7, 0], [0, 0, 7, 7, 0], [0, 7, 7, 0, 7], [0, 7, 0, 7, 0]]\nOutput: [[7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [7, 7, 7, 7, 7]]\n\nExample 2\nInput: [[4, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 4], [4, 0, 4, 0, 4, 0], [0, 4, 0, 0, 4, 0], [4, 0, 4, 4, 4, 4]]\nOutput: [[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, 4]]\n\nExample 3\nInput: [[9, 0, 9, 0, 0], [9, 0, 0, 9, 0], [9, 0, 0, 0, 9], [9, 9, 0, 9, 9]]\nOutput: [[9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9], [9, 9, 9, 9, 9]]\n\nExample 4\nInput: [[8, 0, 8, 8], [8, 8, 0, 0], [0, 8, 0, 8], [8, 8, 8, 0], [8, 8, 0, 0], [8, 8, 8, 0]]\nOutput: [[8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8], [8, 8, 8, 8]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[7, 7, 0, 7, 7, 7], [7, 7, 7, 0, 0, 7], [7, 0, 7, 0, 7, 7], [7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 7, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[6, 8, 7, 6, 4], [9, 0, 0, 0, 0], [8, 0, 0, 0, 0], [5, 0, 0, 0, 0], [6, 0, 0, 0, 0]]\nOutput: [[6, 8, 7, 6, 4], [6, 8, 7, 6, 4], [6, 8, 7, 6, 4], [6, 8, 7, 6, 4]]\n\nExample 2\nInput: [[2, 6, 7, 4, 1], [3, 0, 0, 0, 0], [6, 0, 0, 0, 0], [1, 0, 0, 0, 0], [5, 0, 0, 0, 0]]\nOutput: [[2, 6, 7, 4, 1], [2, 6, 7, 4, 1], [2, 6, 7, 4, 1], [2, 6, 7, 4, 1], [2, 6, 7, 4, 1]]\n\nExample 3\nInput: [[4, 7, 5, 9, 4], [2, 0, 0, 0, 0], [3, 0, 0, 0, 0], [1, 0, 0, 0, 0], [7, 0, 0, 0, 0]]\nOutput: [[4, 7, 5, 9, 4], [4, 7, 5, 9, 4], [4, 7, 5, 9, 4], [4, 7, 5, 9, 4]]\n\nExample 4\nInput: [[6, 5, 6, 5, 3], [9, 0, 0, 0, 0], [5, 0, 0, 0, 0], [9, 0, 0, 0, 0], [1, 0, 0, 0, 0]]\nOutput: [[6, 5, 6, 5, 3], [6, 5, 6, 5, 3], [6, 5, 6, 5, 3]]\n\nExample 5\nInput: [[1, 5, 4, 5, 8], [3, 0, 0, 0, 0], [8, 0, 0, 0, 0], [8, 0, 0, 0, 0], [2, 0, 0, 0, 0]]\nOutput: [[1, 5, 4, 5, 8], [1, 5, 4, 5, 8], [1, 5, 4, 5, 8], [1, 5, 4, 5, 8]]\n\nExample 6\nInput: [[5, 1, 4, 2, 4], [5, 0, 0, 0, 0], [1, 0, 0, 0, 0], [3, 0, 0, 0, 0], [2, 0, 0, 0, 0]]\nOutput: [[5, 1, 4, 2, 4], [5, 1, 4, 2, 4], [5, 1, 4, 2, 4], [5, 1, 4, 2, 4]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[1, 7, 9, 3, 1], [3, 0, 0, 0, 0], [8, 0, 0, 0, 0], [4, 0, 0, 0, 0], [5, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[1, 7, 9, 3, 1], [1, 7, 9, 3, 1], [1, 7, 9, 3, 1], [1, 7, 9, 3, 1]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0], [0, 7, 7, 8, 8, 0], [0, 5, 7, 3, 9, 0], [0, 2, 4, 3, 9, 0], [0, 4, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[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]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 2, 9, 9, 5, 4, 0], [0, 5, 7, 9, 5, 4, 0], [0, 5, 4, 3, 3, 3, 0], [0, 8, 9, 1, 6, 4, 0], [0, 7, 8, 1, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[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]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 8, 9, 7, 0], [0, 1, 7, 9, 9, 8, 0], [0, 1, 5, 2, 2, 2, 0], [0, 5, 5, 2, 1, 5, 0], [0, 5, 9, 4, 5, 6, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[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]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0], [0, 6, 1, 8, 0], [0, 1, 1, 4, 0], [0, 1, 6, 2, 0], [0, 0, 0, 0, 0]]\nOutput: [[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]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 7, 8, 2, 4, 4, 0], [0, 7, 8, 8, 8, 4, 0], [0, 4, 8, 8, 8, 8, 0], [0, 4, 3, 5, 7, 3, 0], [0, 4, 7, 1, 1, 3, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[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]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 2, 1, 2, 2, 2, 0], [0, 2, 9, 2, 8, 8, 0], [0, 2, 8, 7, 7, 5, 0], [0, 2, 4, 4, 7, 8, 0], [0, 3, 5, 4, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0], [0, 5, 9, 1, 7, 0], [0, 5, 5, 5, 9, 0], [0, 5, 6, 6, 2, 0], [0, 5, 5, 3, 8, 0], [0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
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[[6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [5, 1, 5, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 1, 1, 1, 0, 1, 4, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 1, 0, 0, 0, 0], [6, 1, 8, 0, 0, 0, 0, 0, 0, 0], [1, 1, 4, 0, 0, 0, 0, 9, 4, 9], [8, 4, 2, 0, 0, 0, 0, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 2, 6, 2]]\nOutput: [[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, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[9, 6, 3, 0, 0, 0, 0, 5, 5, 5], [7, 5, 6, 0, 0, 0, 0, 6, 2, 6], [9, 6, 3, 0, 0, 0, 0, 6, 2, 6], [0, 0, 0, 0, 5, 5, 6, 0, 0, 0], [0, 0, 0, 0, 5, 4, 5, 0, 0, 0], [0, 0, 0, 0, 7, 5, 5, 0, 0, 0], [0, 5, 5, 2, 0, 0, 0, 0, 0, 0], [0, 5, 6, 2, 0, 0, 0, 2, 9, 9], [0, 5, 5, 8, 0, 0, 0, 8, 8, 9], [0, 0, 0, 0, 0, 0, 0, 2, 9, 9]]\nOutput: [[9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[6, 3, 6, 0, 0, 0, 0, 2, 9, 9], [1, 5, 1, 0, 0, 0, 0, 9, 2, 2], [1, 3, 1, 0, 0, 0, 0, 9, 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, 5, 5, 5], [0, 1, 6, 6, 0, 0, 0, 5, 5, 5], [0, 5, 2, 6, 0, 0, 0, 5, 5, 5], [0, 6, 6, 4, 0, 0, 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, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[8, 8, 8, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 0, 0, 0, 4, 9, 4, 0], [8, 8, 8, 0, 0, 0, 3, 9, 3, 0], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 9, 9, 3, 0, 0, 0, 0], [0, 0, 0, 3, 9, 9, 0, 5, 5, 5], [0, 0, 0, 3, 3, 3, 0, 5, 1, 5], [5, 1, 1, 0, 0, 0, 0, 5, 5, 5], [5, 5, 1, 0, 0, 0, 0, 0, 0, 0], [2, 5, 5, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[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], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[4, 7, 4, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 0, 0, 0, 0], [4, 7, 7, 0, 0, 0, 0, 5, 5, 5], [0, 0, 0, 3, 3, 3, 0, 1, 5, 1], [0, 0, 0, 6, 6, 6, 0, 5, 5, 5], [0, 0, 0, 6, 8, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 0, 0, 0, 0, 2, 8, 2], [8, 2, 8, 0, 0, 0, 0, 3, 7, 3], [8, 8, 8, 0, 0, 0, 0, 7, 4, 7]]\nOutput: [[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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[6, 8, 8, 0, 0, 0, 0, 0, 0, 0], [8, 1, 1, 0, 2, 6, 2, 0, 0, 0], [6, 8, 8, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 9, 2, 9, 0, 0, 0], [0, 5, 7, 5, 0, 0, 0, 3, 4, 4], [0, 1, 7, 1, 0, 0, 0, 3, 3, 3], [0, 7, 7, 7, 0, 0, 0, 9, 4, 3], [0, 0, 0, 0, 3, 7, 6, 0, 0, 0], [0, 0, 0, 0, 3, 3, 1, 0, 0, 0], [0, 0, 0, 0, 3, 2, 2, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[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, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[7, 7, 7, 0, 0, 0, 7, 7, 7, 0], [7, 7, 7, 0, 0, 0, 7, 7, 7, 0], [7, 7, 7, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 7, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 0, 0, 0, 7], [7, 7, 7, 0, 0, 0, 7, 7, 7, 0], [7, 7, 7, 0, 0, 0, 7, 7, 7, 0], [7, 7, 7, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 7, 7, 0, 0, 0, 7]]\nOutput: [[7, 7, 0, 7, 7], [7, 7, 0, 7, 7], [0, 0, 7, 0, 0], [7, 7, 0, 7, 7], [7, 7, 0, 7, 7]]\n\nExample 2\nInput: [[5, 5, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 5, 5, 0, 0, 5, 5], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 5, 5, 0, 0, 5, 5], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 5, 5, 0, 0, 5, 5]]\nOutput: [[5, 0, 5, 0, 5], [0, 5, 0, 5, 0], [5, 0, 5, 0, 5], [0, 5, 0, 5, 0], [5, 0, 5, 0, 5]]\n\nExample 3\nInput: [[6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6]]\nOutput: [[6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6], [6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6], [6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6]]\n\nExample 4\nInput: [[8, 8, 0, 0, 8, 8, 0, 0], [8, 8, 0, 0, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 8, 8], [0, 0, 8, 8, 0, 0, 8, 8], [8, 8, 0, 0, 8, 8, 0, 0], [8, 8, 0, 0, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 8, 8], [0, 0, 8, 8, 0, 0, 8, 8]]\nOutput: [[8, 0, 8, 0], [0, 8, 0, 8], [8, 0, 8, 0], [0, 8, 0, 8]]\n\nExample 5\nInput: [[8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8], [0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8], [0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8], [8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8], [0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8], [0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8]]\nOutput: [[8, 8, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0], [0, 0, 8, 0, 0, 8], [8, 8, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0], [0, 0, 8, 0, 0, 8]]\n\nExample 6\nInput: [[3, 3, 0, 0, 3, 3, 0, 0], [3, 3, 0, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0], [3, 3, 0, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 0, 3, 3]]\nOutput: [[3, 0, 3, 0], [0, 3, 0, 3], [3, 0, 3, 0], [0, 3, 0, 3]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[9, 9, 0, 9, 9, 0], [9, 9, 0, 9, 9, 0], [0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 0], [9, 9, 0, 9, 9, 0], [0, 0, 9, 0, 0, 9]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 9, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6]]\nOutput: [[6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 9, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 9, 0, 0, 0, 0], [5, 3, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 0, 3, 5], [0, 0, 0, 0, 9, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 9, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 9, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0], [0, 0, 2, 0, 1, 0, 5], [0, 0, 7, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 7, 0, 1], [5, 0, 1, 0, 2, 0, 0], [0, 0, 0, 3, 0, 2, 0], [0, 0, 0, 9, 0, 0, 1], [0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0], [1, 0, 0, 9, 0, 0, 0], [0, 2, 0, 3, 0, 0, 0], [0, 0, 2, 0, 1, 0, 5], [1, 0, 7, 0, 0, 0, 0]]\n\nExample 3\nInput: [[8, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 7, 0, 0]]\nOutput: [[8, 4, 7, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0], [0, 6, 1, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 1, 6, 0], [0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 7, 4, 8]]\n\nExample 4\nInput: [[0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 9], [6, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 5], [0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 1, 0], [0, 6, 0, 5, 0, 6, 9, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 9, 0, 9, 0, 0], [0, 0, 9, 6, 0, 5, 5, 6, 9], [6, 1, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 0, 0, 0, 0, 7, 5], [0, 0, 6, 0, 0, 0, 6, 0, 0], [5, 7, 0, 0, 0, 0, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 1, 6], [9, 6, 5, 5, 0, 6, 9, 0, 0], [0, 0, 9, 0, 9, 0, 0, 0, 0]]\n\nExample 5\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, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 8, 0, 0, 0, 0, 0, 2], [0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 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, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 8, 0, 0], [2, 5, 0, 0, 0, 8, 8, 0, 0, 0, 5, 2], [0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\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], [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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 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, 5, 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, 5, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 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, 4], [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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 4, 0], [5, 0, 2, 0, 0, 1], [0, 0, 0, 7, 0, 1], [0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 6, 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, 4, 0, 0, 0, 0], [3, 0, 0, 0, 8, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 8, 0, 0, 4, 3], [5, 0, 2, 0, 4, 1], [0, 0, 0, 7, 0, 1], [0, 0, 0, 0, 0, 0], [0, 4, 3, 0, 6, 0], [0, 0, 0, 0, 0, 0], [0, 6, 0, 3, 4, 0], [0, 0, 0, 0, 0, 0], [1, 0, 7, 0, 0, 0], [1, 4, 0, 2, 0, 5], [3, 4, 0, 0, 8, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 8, 8, 8, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 0, 0, 0, 0]]\nOutput: [[0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[7, 0, 7, 0, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0]]\nOutput: [[7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 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], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[5, 5, 5, 5, 0, 0, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0], [5, 5, 5, 5, 0, 0, 0, 0]]\nOutput: [[5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[6, 6, 6, 0, 0, 0], [6, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0]]\nOutput: [[6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0]]\nOutput: [[0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[7, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
|
simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[9, 4, 7, 5, 2, 5], [9, 4, 7, 5, 2, 5], [9, 4, 7, 5, 2, 5], [9, 4, 7, 5, 2, 5], [9, 4, 7, 5, 2, 5], [9, 9, 7, 5, 2, 5]]\nOutput: [[9, 4, 7, 5, 2, 5], [9, 4, 7, 5, 2, 5], [9, 4, 7, 5, 2, 5], [9, 4, 7, 5, 2, 5], [9, 4, 7, 5, 2, 5], [9, 7, 7, 5, 2, 5]]\n\nExample 2\nInput: [[3, 4, 4, 6, 8, 2], [9, 4, 4, 6, 8, 2], [3, 9, 4, 6, 8, 2], [3, 4, 4, 6, 8, 2], [3, 4, 4, 6, 8, 2], [3, 4, 4, 6, 8, 2]]\nOutput: [[3, 4, 4, 6, 8, 2], [7, 4, 4, 6, 8, 2], [3, 7, 4, 6, 8, 2], [3, 4, 4, 6, 8, 2], [3, 4, 4, 6, 8, 2], [3, 4, 4, 6, 8, 2]]\n\nExample 3\nInput: [[5, 6, 3, 9, 4, 8], [5, 9, 6, 9, 4, 8], [5, 9, 6, 9, 4, 8], [2, 9, 6, 9, 2, 8], [5, 9, 6, 9, 4, 8], [5, 9, 6, 9, 4, 8]]\nOutput: [[5, 7, 7, 9, 4, 8], [5, 9, 6, 9, 4, 8], [5, 9, 6, 9, 4, 8], [7, 9, 6, 9, 7, 8], [5, 9, 6, 9, 4, 8], [5, 9, 6, 9, 4, 8]]\n\nExample 4\nInput: [[2, 2, 1, 2, 9, 4], [9, 2, 1, 2, 9, 4], [2, 2, 1, 2, 9, 9], [2, 2, 1, 2, 9, 4], [2, 2, 1, 2, 9, 4], [2, 2, 3, 2, 9, 4]]\nOutput: [[2, 2, 1, 2, 9, 4], [7, 2, 1, 2, 9, 4], [2, 2, 1, 2, 9, 7], [2, 2, 1, 2, 9, 4], [2, 2, 1, 2, 9, 4], [2, 2, 7, 2, 9, 4]]\n\nExample 5\nInput: [[5, 3, 1, 9, 8, 3], [5, 3, 1, 9, 5, 5], [5, 3, 1, 9, 5, 3], [5, 3, 1, 9, 5, 3], [5, 3, 5, 9, 5, 3], [5, 3, 1, 9, 5, 3]]\nOutput: [[5, 3, 1, 9, 7, 3], [5, 3, 1, 9, 5, 7], [5, 3, 1, 9, 5, 3], [5, 3, 1, 9, 5, 3], [5, 3, 7, 9, 5, 3], [5, 3, 1, 9, 5, 3]]\n\nExample 6\nInput: [[7, 1, 2, 2, 8, 7], [7, 1, 3, 2, 8, 6], [6, 1, 2, 2, 8, 6], [7, 1, 2, 2, 8, 6], [7, 8, 2, 2, 8, 6], [7, 1, 2, 2, 8, 6]]\nOutput: [[7, 1, 2, 2, 8, 7], [7, 1, 7, 2, 8, 6], [7, 1, 2, 2, 8, 6], [7, 1, 2, 2, 8, 6], [7, 7, 2, 2, 8, 6], [7, 1, 2, 2, 8, 6]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[6, 1, 7, 2, 3, 8], [6, 1, 7, 2, 3, 8], [6, 1, 7, 2, 2, 8], [6, 1, 7, 2, 3, 8], [6, 1, 7, 2, 3, 8], [6, 1, 7, 3, 3, 8]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[6, 1, 7, 2, 3, 8], [6, 1, 7, 2, 3, 8], [6, 1, 7, 2, 7, 8], [6, 1, 7, 2, 3, 8], [6, 1, 7, 2, 3, 8], [6, 1, 7, 7, 3, 8]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 8, 8, 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, 3, 3, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 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]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 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]]\n\nExample 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, 5, 0, 0, 0], [0, 0, 0, 0, 5, 5, 5, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 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, 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, 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, 0, 0, 0]]\n\nExample 5\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, 3, 0, 0, 0], [0, 0, 0, 3, 3, 3, 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]]\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, 3, 0, 0], [0, 0, 0, 0, 3, 3, 3, 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]]\n\nExample 6\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, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0], [0, 0, 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]]\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, 3, 3, 0, 0, 0], [0, 0, 0, 3, 3, 3, 3, 0, 0], [0, 0, 0, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [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, 0], [0, 0, 0, 0, 0, 0, 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]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[6, 6, 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], [6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 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, 9], [6, 6, 9], [6, 6, 9], [6, 6, 9], [6, 6, 9], [6, 6, 9], [6, 6, 9], [6, 6, 9], [6, 6, 9]]\n\nExample 2\nInput: [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [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]]\nOutput: [[4, 1, 9, 4, 8, 5, 8, 9, 9], [4, 1, 9, 4, 8, 5, 8, 9, 9], [4, 1, 9, 4, 8, 5, 8, 9, 9], [4, 1, 9, 4, 8, 5, 8, 9, 9], [4, 1, 9, 4, 8, 5, 8, 9, 9], [4, 1, 9, 4, 8, 5, 8, 9, 9], [4, 1, 9, 4, 8, 5, 8, 9, 9], [4, 1, 9, 4, 8, 5, 8, 9, 9], [4, 1, 9, 4, 8, 5, 8, 9, 9], [4, 1, 9, 4, 8, 5, 8, 9, 9], [4, 1, 9, 4, 8, 5, 8, 9, 9], [4, 1, 9, 4, 8, 5, 8, 9, 9], [4, 1, 9, 4, 8, 5, 8, 9, 9]]\n\nExample 3\nInput: [[4, 4, 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], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9], [4, 9]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[5, 6, 8, 6], [5, 6, 8, 6], [5, 6, 8, 6], [5, 6, 8, 6], [5, 6, 8, 6], [5, 6, 8, 6], [5, 6, 8, 6]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[4, 4, 6, 1, 3], [4, 4, 6, 1, 3], [4, 4, 6, 1, 3], [4, 4, 6, 1, 3], [4, 4, 6, 1, 3]]\nOutput: [[3, 3, 1, 6, 7], [3, 3, 1, 6, 7], [3, 3, 1, 6, 7], [3, 3, 1, 6, 7], [3, 3, 1, 6, 7]]\n\nExample 2\nInput: [[1, 8, 7, 6, 4], [1, 8, 7, 6, 4], [1, 8, 7, 6, 4], [1, 8, 7, 6, 4], [1, 8, 7, 6, 4]]\nOutput: [[6, 4, 8, 1, 3], [6, 4, 8, 1, 3], [6, 4, 8, 1, 3], [6, 4, 8, 1, 3], [6, 4, 8, 1, 3]]\n\nExample 3\nInput: [[2, 2, 2, 3, 8], [2, 2, 2, 3, 8], [2, 2, 2, 3, 8], [2, 2, 2, 3, 8], [2, 2, 2, 3, 8]]\nOutput: [[7, 7, 7, 7, 4], [7, 7, 7, 7, 4], [7, 7, 7, 7, 4], [7, 7, 7, 7, 4], [7, 7, 7, 7, 4]]\n\nExample 4\nInput: [[7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [7, 7, 7, 7, 7]]\nOutput: [[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]]\n\nExample 5\nInput: [[4, 2, 4, 1, 4], [4, 2, 4, 1, 4], [4, 2, 4, 1, 4], [4, 2, 4, 1, 4], [4, 2, 4, 1, 4]]\nOutput: [[3, 7, 3, 6, 3], [3, 7, 3, 6, 3], [3, 7, 3, 6, 3], [3, 7, 3, 6, 3], [3, 7, 3, 6, 3]]\n\nExample 6\nInput: [[8, 3, 8, 2, 7], [8, 3, 8, 2, 7], [8, 3, 8, 2, 7], [8, 3, 8, 2, 7], [8, 3, 8, 2, 7]]\nOutput: [[4, 7, 4, 7, 8], [4, 7, 4, 7, 8], [4, 7, 4, 7, 8], [4, 7, 4, 7, 8], [4, 7, 4, 7, 8]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[2, 7, 3, 8, 6], [2, 7, 3, 8, 6], [2, 7, 3, 8, 6], [2, 7, 3, 8, 6], [2, 7, 3, 8, 6]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[7, 8, 7, 4, 1], [7, 8, 7, 4, 1], [7, 8, 7, 4, 1], [7, 8, 7, 4, 1], [7, 8, 7, 4, 1]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 8, 0, 0], [0, 8, 8, 0], [8, 0, 0, 8], [0, 0, 8, 0], [0, 0, 0, 8], [0, 8, 0, 0]]\nOutput: [[8, 8, 0, 0], [8, 8, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 9, 0, 9, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 0, 0, 0, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 0, 0]]\nOutput: [[9, 9, 9, 0, 0, 0, 0, 0, 0], [9, 9, 9, 0, 0, 0, 0, 0, 0], [9, 9, 9, 0, 0, 0, 0, 0, 0], [9, 9, 9, 0, 0, 0, 0, 0, 0], [9, 9, 9, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0], [0, 0, 5, 0, 0, 0, 0, 5], [5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0], [0, 5, 5, 0, 5, 5, 0, 0]]\nOutput: [[5, 5, 5, 5, 0, 0, 0, 0], [5, 5, 5, 5, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 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]]\n\nExample 4\nInput: [[0, 0, 0, 9], [0, 0, 0, 9], [0, 9, 9, 0], [0, 0, 0, 9]]\nOutput: [[9, 9, 0, 0], [9, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]\n\nExample 5\nInput: [[0, 3, 0, 0, 0, 3], [3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 3, 3], [3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 3, 3], [3, 3, 3, 0, 0, 0]]\nOutput: [[3, 3, 3, 0, 0, 0], [3, 3, 3, 0, 0, 0], [3, 3, 3, 0, 0, 0], [3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[8, 0, 8, 0], [0, 0, 0, 0], [8, 8, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, 0, 0], [8, 0, 0, 0]]\nOutput: [[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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0], [0, 7, 0], [0, 0, 0], [7, 0, 0], [7, 7, 0], [0, 0, 7], [0, 0, 0], [7, 7, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[7, 7, 0], [7, 7, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 3, 0, 3], [0, 0, 0, 0, 7, 3, 0, 3], [0, 0, 0, 0, 7, 3, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 8, 8], [0, 0, 9, 0, 0, 1, 8, 1], [0, 9, 9, 9, 0, 3, 0, 3]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 3, 0, 3], [0, 0, 0, 0, 7, 3, 0, 3], [0, 0, 0, 0, 7, 3, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 0, 0, 1, 4, 1], [0, 4, 4, 4, 0, 3, 0, 3]]\n\nExample 2\nInput: [[0, 0, 0, 0, 3, 3, 3], [9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 4, 5], [1, 0, 0, 0, 5, 4, 5], [1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 0, 0]]\nOutput: [[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, 5, 4, 5], [1, 0, 0, 0, 5, 4, 5], [1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 0, 0]]\n\nExample 3\nInput: [[1, 1, 0, 5, 0, 0, 0, 0, 0], [1, 1, 0, 5, 8, 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, 1, 1], [0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6]]\nOutput: [[4, 4, 0, 5, 0, 0, 0, 0, 0], [4, 4, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 4]]\n\nExample 4\nInput: [[4, 0, 0, 1, 0, 0, 0, 0, 0], [8, 0, 0, 1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 1, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 1, 1, 1, 0]]\nOutput: [[4, 0, 0, 1, 0, 0, 0, 0, 0], [8, 0, 0, 1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 1, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 0, 0, 4, 4, 4, 0]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 1, 1, 0, 0, 5, 5], [0, 0, 0, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 7, 0, 1, 0, 1, 1, 0], [7, 7, 7, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 4, 4, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 1, 1, 0, 0, 5, 5], [0, 0, 0, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 4, 0, 1, 0, 1, 1, 0], [4, 4, 4, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 4, 4, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 5, 5, 5, 0], [0, 5, 0, 5, 0], [0, 5, 5, 0, 0], [0, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 0, 1, 0]]\nOutput: [[0, 4, 4, 4, 0], [0, 4, 0, 4, 0], [0, 4, 4, 0, 0], [0, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 0, 1, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 2, 2], [0, 0, 0, 2, 2], [0, 1, 0, 2, 2], [0, 1, 0, 0, 0], [0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 4, 4], [0, 0, 0, 4, 4], [0, 1, 0, 4, 4], [0, 1, 0, 0, 0], [0, 0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 6, 6], [0, 0, 0, 2, 2, 2, 1, 6, 6], [0, 0, 0, 2, 2, 2, 1, 1, 4], [0, 0, 0, 2, 2, 2, 1, 1, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4], [6, 6, 0, 0, 0, 0, 6, 2, 4], [6, 6, 0, 0, 0, 2, 2, 2, 2]]\nOutput: [[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, 4, 4, 4, 4, 4, 4], [0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 4, 4, 4, 4, 4, 4], [4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 0, 4, 4, 4, 4, 4, 4]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 6, 6, 6, 6, 3, 3], [0, 0, 0, 0, 0, 6, 6, 6, 6, 3, 3], [0, 2, 2, 2, 2, 6, 6, 6, 6, 3, 3], [2, 2, 2, 2, 2, 6, 6, 6, 6, 3, 3], [2, 2, 2, 2, 2, 0, 1, 1, 6, 6, 6], [2, 2, 2, 2, 2, 0, 1, 1, 6, 6, 6], [2, 2, 2, 0, 0, 0, 0, 0, 6, 6, 6], [2, 2, 2, 0, 0, 0, 0, 6, 6, 6, 6]]\nOutput: [[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, 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, 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, 4]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [0, 2, 2, 2, 2, 0, 0, 6, 6, 6], [0, 2, 1, 1, 2, 0, 0, 6, 6, 6], [0, 2, 1, 1, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 6, 6, 6, 3, 0, 0], [0, 0, 0, 4, 6, 6, 6, 3, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 4, 4, 4], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 4, 4, 4, 4, 4, 4, 4, 0, 0]]\n\nExample 4\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], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 3, 0, 0, 4, 4, 6], [6, 6, 6, 6, 0, 4, 4, 4, 4, 6], [6, 6, 6, 6, 0, 4, 4, 4, 2, 2], [1, 1, 1, 1, 0, 4, 4, 4, 3, 3], [1, 1, 1, 1, 2, 2, 0, 0, 3, 3]]\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], [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, 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, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]\n\nExample 5\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, 4, 4, 4, 4, 3, 0], [4, 0, 0, 0, 4, 4, 4, 4, 3, 0], [0, 0, 1, 0, 4, 4, 4, 4, 2, 2], [0, 2, 2, 2, 4, 4, 4, 4, 2, 4], [0, 2, 2, 2, 1, 1, 1, 3, 2, 4], [4, 4, 4, 4, 1, 1, 1, 1, 2, 4], [4, 4, 4, 6, 6, 1, 1, 1, 0, 4]]\nOutput: [[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, 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, 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, 4, 4, 4, 4, 4, 4]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 3, 3, 6, 6, 6, 0], [0, 0, 0, 0, 0, 3, 3, 6, 6, 6, 0], [0, 1, 0, 0, 3, 6, 6, 6, 6, 6, 4], [0, 2, 2, 2, 6, 6, 6, 6, 6, 4, 4], [0, 2, 4, 4, 6, 6, 6, 6, 6, 4, 4], [0, 3, 4, 4, 6, 6, 6, 6, 6, 0, 4], [0, 6, 6, 6, 6, 1, 1, 1, 0, 0, 4]]\nOutput: [[0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[2, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 3], [2, 2, 2, 0, 4, 3], [0, 6, 6, 1, 1, 1], [0, 6, 6, 1, 1, 1], [0, 0, 4, 1, 1, 1], [4, 0, 0, 1, 6, 1]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[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, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]
|
simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 4, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 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, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 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, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 0], [4, 4, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 0, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [6, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0], [6, 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, 4, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0], [4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4], [4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [4, 0, 0, 0, 4, 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]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 3, 0, 0], [0, 0, 0, 0, 6, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 7], [0, 6, 0, 0, 0, 0, 0, 0, 7]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 4, 0, 0], [0, 0, 0, 0, 4, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 0, 4]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 3, 3, 3, 0, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 6, 6, 7, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0], [0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0]]\n\nExample 6\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], [1, 1, 0, 0, 0, 0], [1, 1, 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, 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], [4, 4, 0, 0, 0, 0], [4, 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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 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, 2, 2, 2, 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]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 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, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[1, 5, 1, 5, 1, 5, 1, 5, 1], [5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 5, 1, 5, 1, 5, 1, 5, 1], [5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 5, 1, 5, 1, 5, 1, 5, 1], [5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 5, 1, 5, 1, 5, 1, 5, 1], [5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 5, 1, 5, 1, 5, 1, 5, 1], [5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 5, 1, 5, 1, 5, 1, 5, 1]]\nOutput: [[1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 5, 1, 5, 1, 5, 1, 5], [1, 5, 1, 5, 1, 5, 1, 5, 1]]\n\nExample 2\nInput: [[5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5], [6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6], [5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5], [6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6], [5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5], [6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6], [5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5], [6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6]]\nOutput: [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6]]\n\nExample 3\nInput: [[6, 1, 6, 1, 6, 1, 6, 1, 6, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [6, 1, 6, 1, 6, 1, 6, 1, 6, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [6, 1, 6, 1, 6, 1, 6, 1, 6, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [6, 1, 6, 1, 6, 1, 6, 1, 6, 1], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6]]\nOutput: [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [1, 6, 1, 6, 1, 6, 1, 6, 1, 6]]\n\nExample 4\nInput: [[4, 9, 4, 9, 4, 9, 4, 9, 4, 9], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4], [4, 9, 4, 9, 4, 9, 4, 9, 4, 9], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4], [4, 9, 4, 9, 4, 9, 4, 9, 4, 9], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4], [4, 9, 4, 9, 4, 9, 4, 9, 4, 9], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4], [4, 9, 4, 9, 4, 9, 4, 9, 4, 9], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4]]\nOutput: [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4]]\n\nExample 5\nInput: [[6, 7, 6, 7, 6, 7, 6, 7, 6, 7], [7, 6, 7, 6, 7, 6, 7, 6, 7, 6], [6, 7, 6, 7, 6, 7, 6, 7, 6, 7], [7, 6, 7, 6, 7, 6, 7, 6, 7, 6], [6, 7, 6, 7, 6, 7, 6, 7, 6, 7], [7, 6, 7, 6, 7, 6, 7, 6, 7, 6], [6, 7, 6, 7, 6, 7, 6, 7, 6, 7], [7, 6, 7, 6, 7, 6, 7, 6, 7, 6], [6, 7, 6, 7, 6, 7, 6, 7, 6, 7]]\nOutput: [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 6, 7, 6, 7, 6, 7, 6, 7, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 6, 7, 6, 7, 6, 7, 6, 7, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 6, 7, 6, 7, 6, 7, 6, 7, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 6, 7, 6, 7, 6, 7, 6, 7, 6], [6, 7, 6, 7, 6, 7, 6, 7, 6, 7]]\n\nExample 6\nInput: [[5, 8, 5, 8, 5, 8, 5, 8, 5, 8, 5], [8, 5, 8, 5, 8, 5, 8, 5, 8, 5, 8], [5, 8, 5, 8, 5, 8, 5, 8, 5, 8, 5], [8, 5, 8, 5, 8, 5, 8, 5, 8, 5, 8], [5, 8, 5, 8, 5, 8, 5, 8, 5, 8, 5], [8, 5, 8, 5, 8, 5, 8, 5, 8, 5, 8], [5, 8, 5, 8, 5, 8, 5, 8, 5, 8, 5]]\nOutput: [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [8, 5, 8, 5, 8, 5, 8, 5, 8, 5, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [8, 5, 8, 5, 8, 5, 8, 5, 8, 5, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [8, 5, 8, 5, 8, 5, 8, 5, 8, 5, 8], [5, 8, 5, 8, 5, 8, 5, 8, 5, 8, 5]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[4, 5, 4, 5, 4, 5], [5, 4, 5, 4, 5, 4], [4, 5, 4, 5, 4, 5], [5, 4, 5, 4, 5, 4], [4, 5, 4, 5, 4, 5], [5, 4, 5, 4, 5, 4], [4, 5, 4, 5, 4, 5]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[4, 4, 4, 4, 4, 4], [5, 4, 5, 4, 5, 4], [4, 4, 4, 4, 4, 4], [5, 4, 5, 4, 5, 4], [4, 4, 4, 4, 4, 4], [5, 4, 5, 4, 5, 4], [4, 5, 4, 5, 4, 5]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 1, 0, 0, 1, 2], [0, 0, 0, 3, 1, 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, 1, 1, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 0, 0, 1, 5], [0, 0, 0, 3, 5, 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, 5, 5, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 3, 0, 0, 2, 0, 0, 0, 0, 3, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 3, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 3, 0, 0, 7, 0, 0, 0, 0, 3, 0], [0, 0, 0, 7, 7, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 3, 0, 0, 0, 0]]\n\nExample 3\nInput: [[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], [3, 3, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 3, 0, 0, 1, 2], [0, 0, 0, 0, 1, 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]]\nOutput: [[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], [7, 7, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 3, 0, 0, 1, 5], [0, 0, 0, 0, 1, 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]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 2, 0, 0], [0, 0, 2, 2, 0, 0, 3, 2, 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, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 3, 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, 3, 0, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 0, 3, 5, 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, 2, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[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, 1, 3, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 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, 3, 2, 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, 5, 0, 0, 0, 0, 0, 0, 0], [0, 1, 5, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 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, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 3, 2, 0, 0]]\nOutput: [[0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 3, 2, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 2, 3], [0, 0, 2, 0, 0, 0], [0, 2, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 2, 0], [1, 1, 0, 1, 3, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 2, 3], [0, 0, 2, 0, 0, 0], [0, 2, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 2, 0], [7, 7, 0, 1, 3, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[6, 4, 6, 9, 8, 5, 7, 0, 0, 0, 0, 0], [6, 7, 9, 3, 3, 7, 7, 0, 0, 0, 0, 0], [7, 9, 7, 5, 7, 1, 7, 0, 0, 0, 0, 0], [6, 5, 8, 7, 4, 8, 7, 0, 0, 0, 0, 0], [2, 7, 7, 3, 7, 1, 7, 0, 0, 0, 0, 0], [8, 3, 3, 3, 8, 4, 7, 0, 0, 0, 0, 0], [5, 9, 8, 9, 7, 4, 7, 0, 0, 0, 0, 0], [4, 3, 7, 8, 5, 6, 7, 0, 0, 0, 0, 0]]\nOutput: [[6, 4, 6, 9, 8, 5, 5, 8, 9, 6, 4, 6], [6, 7, 9, 3, 3, 7, 7, 3, 3, 9, 7, 6], [7, 9, 7, 5, 7, 1, 1, 7, 5, 7, 9, 7], [6, 5, 8, 7, 4, 8, 8, 4, 7, 8, 5, 6], [2, 7, 7, 3, 7, 1, 1, 7, 3, 7, 7, 2], [8, 3, 3, 3, 8, 4, 4, 8, 3, 3, 3, 8], [5, 9, 8, 9, 7, 4, 4, 7, 9, 8, 9, 5], [4, 3, 7, 8, 5, 6, 6, 5, 8, 7, 3, 4]]\n\nExample 2\nInput: [[4, 1, 2, 3, 6, 7, 0, 0, 0, 0], [1, 5, 2, 7, 9, 7, 0, 0, 0, 0], [1, 8, 9, 5, 9, 7, 0, 0, 0, 0], [9, 8, 8, 9, 6, 7, 0, 0, 0, 0], [7, 1, 7, 9, 6, 7, 0, 0, 0, 0], [3, 3, 4, 4, 7, 7, 0, 0, 0, 0], [4, 1, 8, 8, 6, 7, 0, 0, 0, 0]]\nOutput: [[4, 1, 2, 3, 6, 6, 3, 2, 1, 4], [1, 5, 2, 7, 9, 9, 7, 2, 5, 1], [1, 8, 9, 5, 9, 9, 5, 9, 8, 1], [9, 8, 8, 9, 6, 6, 9, 8, 8, 9], [7, 1, 7, 9, 6, 6, 9, 7, 1, 7], [3, 3, 4, 4, 7, 7, 4, 4, 3, 3], [4, 1, 8, 8, 6, 6, 8, 8, 1, 4]]\n\nExample 3\nInput: [[9, 4, 4, 2, 3, 5, 0, 0, 0, 0, 0], [1, 7, 8, 6, 7, 5, 0, 0, 0, 0, 0], [5, 6, 1, 8, 4, 5, 0, 0, 0, 0, 0], [7, 3, 8, 1, 1, 5, 0, 0, 0, 0, 0], [9, 3, 7, 5, 2, 5, 0, 0, 0, 0, 0], [4, 6, 8, 7, 5, 5, 0, 0, 0, 0, 0], [6, 8, 9, 4, 9, 5, 0, 0, 0, 0, 0]]\nOutput: [[9, 4, 4, 2, 3, 5, 3, 2, 4, 4, 9], [1, 7, 8, 6, 7, 5, 7, 6, 8, 7, 1], [5, 6, 1, 8, 4, 5, 4, 8, 1, 6, 5], [7, 3, 8, 1, 1, 5, 1, 1, 8, 3, 7], [9, 3, 7, 5, 2, 5, 2, 5, 7, 3, 9], [4, 6, 8, 7, 5, 5, 5, 7, 8, 6, 4], [6, 8, 9, 4, 9, 5, 9, 4, 9, 8, 6]]\n\nExample 4\nInput: [[5, 3, 6, 9, 6, 0, 0, 0, 0], [5, 9, 1, 6, 6, 0, 0, 0, 0], [5, 6, 5, 6, 6, 0, 0, 0, 0], [9, 9, 7, 6, 6, 0, 0, 0, 0], [6, 6, 8, 9, 6, 0, 0, 0, 0], [4, 1, 7, 7, 6, 0, 0, 0, 0], [6, 5, 1, 2, 6, 0, 0, 0, 0], [6, 9, 2, 8, 6, 0, 0, 0, 0], [7, 1, 7, 4, 6, 0, 0, 0, 0]]\nOutput: [[5, 3, 6, 9, 6, 9, 6, 3, 5], [5, 9, 1, 6, 6, 6, 1, 9, 5], [5, 6, 5, 6, 6, 6, 5, 6, 5], [9, 9, 7, 6, 6, 6, 7, 9, 9], [6, 6, 8, 9, 6, 9, 8, 6, 6], [4, 1, 7, 7, 6, 7, 7, 1, 4], [6, 5, 1, 2, 6, 2, 1, 5, 6], [6, 9, 2, 8, 6, 8, 2, 9, 6], [7, 1, 7, 4, 6, 4, 7, 1, 7]]\n\nExample 5\nInput: [[5, 8, 1, 3, 4, 0, 0, 0, 0], [8, 8, 2, 6, 4, 0, 0, 0, 0], [2, 5, 7, 6, 4, 0, 0, 0, 0], [3, 6, 6, 5, 4, 0, 0, 0, 0], [3, 6, 5, 8, 4, 0, 0, 0, 0], [3, 8, 5, 7, 4, 0, 0, 0, 0], [8, 8, 8, 1, 4, 0, 0, 0, 0], [4, 1, 6, 3, 4, 0, 0, 0, 0], [5, 5, 6, 9, 4, 0, 0, 0, 0], [4, 4, 5, 2, 4, 0, 0, 0, 0], [6, 5, 1, 4, 4, 0, 0, 0, 0], [3, 4, 1, 1, 4, 0, 0, 0, 0]]\nOutput: [[5, 8, 1, 3, 4, 3, 1, 8, 5], [8, 8, 2, 6, 4, 6, 2, 8, 8], [2, 5, 7, 6, 4, 6, 7, 5, 2], [3, 6, 6, 5, 4, 5, 6, 6, 3], [3, 6, 5, 8, 4, 8, 5, 6, 3], [3, 8, 5, 7, 4, 7, 5, 8, 3], [8, 8, 8, 1, 4, 1, 8, 8, 8], [4, 1, 6, 3, 4, 3, 6, 1, 4], [5, 5, 6, 9, 4, 9, 6, 5, 5], [4, 4, 5, 2, 4, 2, 5, 4, 4], [6, 5, 1, 4, 4, 4, 1, 5, 6], [3, 4, 1, 1, 4, 1, 1, 4, 3]]\n\nExample 6\nInput: [[4, 2, 4, 5, 5, 1, 0, 0, 0, 0], [1, 3, 2, 5, 6, 1, 0, 0, 0, 0], [9, 9, 6, 2, 8, 1, 0, 0, 0, 0], [3, 9, 3, 4, 7, 1, 0, 0, 0, 0], [8, 8, 2, 5, 3, 1, 0, 0, 0, 0], [9, 8, 6, 4, 1, 1, 0, 0, 0, 0], [7, 2, 1, 4, 7, 1, 0, 0, 0, 0], [9, 9, 8, 1, 2, 1, 0, 0, 0, 0], [8, 4, 5, 6, 7, 1, 0, 0, 0, 0], [2, 1, 6, 3, 9, 1, 0, 0, 0, 0], [7, 1, 7, 2, 3, 1, 0, 0, 0, 0], [7, 6, 7, 6, 6, 1, 0, 0, 0, 0], [6, 6, 9, 4, 9, 1, 0, 0, 0, 0], [4, 2, 4, 1, 9, 1, 0, 0, 0, 0]]\nOutput: [[4, 2, 4, 5, 5, 5, 5, 4, 2, 4], [1, 3, 2, 5, 6, 6, 5, 2, 3, 1], [9, 9, 6, 2, 8, 8, 2, 6, 9, 9], [3, 9, 3, 4, 7, 7, 4, 3, 9, 3], [8, 8, 2, 5, 3, 3, 5, 2, 8, 8], [9, 8, 6, 4, 1, 1, 4, 6, 8, 9], [7, 2, 1, 4, 7, 7, 4, 1, 2, 7], [9, 9, 8, 1, 2, 2, 1, 8, 9, 9], [8, 4, 5, 6, 7, 7, 6, 5, 4, 8], [2, 1, 6, 3, 9, 9, 3, 6, 1, 2], [7, 1, 7, 2, 3, 3, 2, 7, 1, 7], [7, 6, 7, 6, 6, 6, 6, 7, 6, 7], [6, 6, 9, 4, 9, 9, 4, 9, 6, 6], [4, 2, 4, 1, 9, 9, 1, 4, 2, 4]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[3, 1, 1, 3, 8, 9, 0, 0, 0, 0, 0], [4, 5, 4, 6, 4, 9, 0, 0, 0, 0, 0], [2, 7, 3, 5, 1, 9, 0, 0, 0, 0, 0], [2, 6, 3, 1, 5, 9, 0, 0, 0, 0, 0], [1, 7, 9, 2, 2, 9, 0, 0, 0, 0, 0], [5, 5, 7, 8, 3, 9, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[3, 1, 1, 3, 8, 9, 8, 3, 1, 1, 3], [4, 5, 4, 6, 4, 9, 4, 6, 4, 5, 4], [2, 7, 3, 5, 1, 9, 1, 5, 3, 7, 2], [2, 6, 3, 1, 5, 9, 5, 1, 3, 6, 2], [1, 7, 9, 2, 2, 9, 2, 2, 9, 7, 1], [5, 5, 7, 8, 3, 9, 3, 8, 7, 5, 5]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[6, 0, 0, 0], [0, 8, 0, 0], [6, 0, 0, 0], [0, 7, 0, 0], [7, 5, 0, 0]]\nOutput: [[6, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0], [7, 5, 0, 6, 0, 0, 0, 0]]\n\nExample 2\nInput: [[4, 0, 0, 0, 0], [3, 0, 0, 0, 0], [0, 0, 0, 0, 0], [1, 0, 0, 0, 0]]\nOutput: [[4, 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, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[4, 2, 0, 0, 0], [3, 8, 0, 0, 0], [7, 0, 0, 0, 0], [0, 8, 0, 0, 0], [3, 0, 0, 0, 0]]\nOutput: [[4, 2, 0, 0, 0, 0, 0, 0, 0, 0], [3, 8, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0], [3, 0, 0, 0, 0], [6, 5, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 5, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[4, 4, 0, 0, 0], [1, 2, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]\nOutput: [[4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [1, 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]]\n\nExample 6\nInput: [[1, 3, 0, 0], [5, 6, 0, 0], [0, 2, 0, 0], [7, 0, 0, 0], [2, 1, 0, 0]]\nOutput: [[1, 3, 0, 0, 0, 0, 0, 0], [5, 6, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0], [2, 1, 3, 1, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0], [8, 0, 0], [6, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0]]
|
simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 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, 8, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[7], [8], [9], [6]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 2, 9], [0, 0, 1, 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]]\nOutput: [[7], [5], [2], [9], [1], [8]]\n\nExample 3\nInput: [[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, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[3], [4], [8]]\n\nExample 4\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, 6, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 1, 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]]\nOutput: [[6], [9], [1], [5]]\n\nExample 5\nInput: [[0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 2, 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, 0, 0, 0, 4, 3, 0, 0, 0]]\nOutput: [[8], [6], [2], [5], [4], [3]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0], [0, 4, 0, 3, 0], [0, 0, 0, 0, 0], [6, 0, 0, 0, 0], [5, 0, 0, 0, 0], [0, 9, 0, 0, 0]]\nOutput: [[4], [3], [6], [5], [9]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 1, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 7], [0, 0, 2, 0, 3], [0, 0, 0, 0, 0], [0, 0, 0, 4, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[1], [7], [2], [3], [4]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[7, 6, 6, 9, 9], [5, 1, 1, 3, 3], [1, 1, 1, 7, 2], [1, 5, 1, 1, 9]]\nOutput: [[1, 5, 1, 1, 9], [1, 1, 1, 7, 2], [5, 1, 1, 3, 3], [7, 6, 6, 9, 9]]\n\nExample 2\nInput: [[2, 2, 7, 7], [7, 7, 7, 7], [3, 7, 1, 7], [3, 8, 6, 1], [7, 4, 4, 1]]\nOutput: [[7, 4, 4, 1], [3, 8, 6, 1], [3, 7, 1, 7], [7, 7, 7, 7], [2, 2, 7, 7]]\n\nExample 3\nInput: [[7, 7, 8, 9, 7], [1, 7, 9, 9, 8], [1, 5, 2, 2, 2], [5, 5, 2, 1, 5], [5, 9, 4, 5, 6]]\nOutput: [[5, 9, 4, 5, 6], [5, 5, 2, 1, 5], [1, 5, 2, 2, 2], [1, 7, 9, 9, 8], [7, 7, 8, 9, 7]]\n\nExample 4\nInput: [[6, 1, 8], [1, 1, 4], [1, 6, 2]]\nOutput: [[1, 6, 2], [1, 1, 4], [6, 1, 8]]\n\nExample 5\nInput: [[3, 2, 2], [8, 7, 7], [4, 3, 7], [4, 7, 7], [4, 1, 5]]\nOutput: [[4, 1, 5], [4, 7, 7], [4, 3, 7], [8, 7, 7], [3, 2, 2]]\n\nExample 6\nInput: [[2, 2, 2, 2], [2, 2, 8, 8], [2, 7, 7, 5], [2, 4, 7, 8], [3, 4, 1, 1]]\nOutput: [[3, 4, 1, 1], [2, 4, 7, 8], [2, 7, 7, 5], [2, 2, 8, 8], [2, 2, 2, 2]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[5, 5, 9, 1, 1], [5, 5, 5, 5, 4], [5, 6, 6, 1, 2], [5, 5, 3, 8, 8]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[5, 5, 3, 8, 8], [5, 6, 6, 1, 2], [5, 5, 5, 5, 4], [5, 5, 9, 1, 1]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[7, 7, 8, 8, 6], [5, 7, 1, 8, 0], [0, 0, 3, 0, 0], [0, 0, 3, 0, 0]]\nOutput: [[0, 0, 0, 5, 7, 0], [0, 0, 0, 7, 7, 0], [0, 3, 3, 1, 8, 0], [0, 0, 0, 8, 8, 0], [0, 0, 0, 0, 6, 0]]\n\nExample 2\nInput: [[0, 0, 0, 1], [2, 1, 8, 8], [2, 2, 8, 8], [0, 0, 8, 0], [0, 6, 8, 0]]\nOutput: [[0, 0, 0, 0, 0], [0, 0, 2, 2, 0], [6, 0, 2, 1, 0], [8, 8, 8, 8, 0], [0, 0, 8, 8, 1], [0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[0, 5, 6, 0, 0], [0, 5, 6, 0, 1], [0, 5, 6, 2, 2], [2, 7, 7, 0, 0], [2, 0, 5, 0, 0]]\nOutput: [[2, 2, 0, 0, 0, 0], [0, 7, 5, 5, 5, 0], [5, 7, 6, 6, 6, 0], [0, 0, 2, 0, 0, 0], [0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 1], [0, 0, 1], [1, 1, 4]]\nOutput: [[1, 0, 0, 0], [1, 0, 0, 0], [4, 1, 1, 0], [0, 0, 0, 0]]\n\nExample 5\nInput: [[6, 0, 0, 0], [6, 5, 5, 5], [4, 5, 0, 9], [4, 8, 0, 0], [8, 7, 0, 0]]\nOutput: [[0, 0, 0, 0, 0], [8, 4, 4, 6, 6], [7, 8, 5, 5, 0], [0, 0, 0, 5, 0], [0, 0, 9, 5, 0], [0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[9, 9, 1, 1, 0], [4, 4, 4, 4, 9], [0, 0, 6, 3, 3], [0, 0, 0, 0, 3]]\nOutput: [[0, 0, 0, 4, 9, 0], [0, 0, 0, 4, 9, 0], [0, 0, 6, 4, 1, 0], [0, 0, 3, 4, 1, 0], [0, 3, 3, 9, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 4], [0, 0, 4], [1, 1, 4]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[1, 0, 0, 0], [1, 0, 0, 0], [4, 4, 4, 0], [0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 9, 0, 0], [0, 0, 0, 0, 0], [0, 4, 6, 3, 8], [0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0], [0, 0, 4, 0], [9, 0, 6, 0], [0, 0, 3, 0], [0, 0, 8, 0]]\n\nExample 2\nInput: [[9, 7, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, 9], [0, 5, 0, 1]]\nOutput: [[9, 0, 0, 4, 0], [7, 0, 0, 0, 5], [2, 0, 0, 0, 0], [0, 0, 0, 9, 1]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0], [0, 6, 0, 0, 0], [0, 0, 0, 1, 0], [0, 0, 0, 9, 0], [3, 2, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 3], [0, 6, 0, 0, 2], [0, 0, 0, 0, 0], [0, 0, 1, 9, 0], [0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[6, 5, 0], [9, 7, 5], [9, 0, 0]]\nOutput: [[6, 9, 9], [5, 7, 0], [0, 5, 0]]\n\nExample 5\nInput: [[0, 0, 0], [0, 0, 0], [0, 0, 5], [5, 6, 0], [0, 0, 0]]\nOutput: [[0, 0, 0, 5, 0], [0, 0, 0, 6, 0], [0, 0, 5, 0, 0]]\n\nExample 6\nInput: [[5, 0, 0, 9], [0, 0, 0, 3], [0, 0, 0, 0], [5, 2, 1, 0], [0, 0, 0, 0]]\nOutput: [[5, 0, 0, 5, 0], [0, 0, 0, 2, 0], [0, 0, 0, 1, 0], [9, 3, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 1, 5, 4, 0], [3, 1, 0, 0, 0], [0, 0, 0, 2, 0], [3, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 3, 0, 3], [1, 1, 0, 0], [5, 0, 0, 0], [4, 0, 2, 0], [0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 4, 4, 0, 0, 0, 6, 0, 0], [0, 0, 4, 4, 0, 0, 0, 6, 0, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 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, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 0, 1, 1], [0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 1, 1], [5, 5, 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], [7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 7, 7], [0, 0, 0, 0, 0, 7, 7], [7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[0, 0, 0, 6, 9, 9, 0], [6, 6, 6, 6, 9, 9, 0], [0, 0, 0, 6, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 2, 2], [0, 0, 0, 0, 0, 2, 2]]\nOutput: [[0, 0, 0, 7, 7, 7, 0], [7, 7, 7, 7, 7, 7, 0], [0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 7, 7]]\n\nExample 4\nInput: [[0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 1, 0, 0], [0, 0, 5, 0, 0, 0, 1, 0, 0], [0, 0, 5, 0, 0, 0, 1, 0, 0]]\nOutput: [[0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 0]]\n\nExample 5\nInput: [[0, 0, 0, 3, 3, 4, 0, 0], [0, 0, 0, 3, 3, 4, 0, 0], [0, 4, 4, 3, 3, 0, 0, 0], [0, 4, 4, 0, 0, 6, 6, 0], [0, 4, 4, 0, 0, 6, 6, 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]]\nOutput: [[0, 0, 0, 7, 7, 7, 0, 0], [0, 0, 0, 7, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 1], [0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 7, 7, 7], [0, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]
|
simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 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, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 9, 0, 0], [0, 0, 0, 0, 8, 0, 6, 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, 9, 0, 0, 0, 0, 0, 0], [0, 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, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 9, 0, 0, 0], [0, 0, 0, 8, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 3, 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], [8, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 9, 0]]\nOutput: [[0, 0, 0, 0, 3, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8], [5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 5], [0, 0, 0, 0, 9, 0, 0]]\n\nExample 3\nInput: [[0, 5, 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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [3, 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, 2, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[5, 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], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 3], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\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, 1, 0, 0, 0], [0, 0, 5, 0, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 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, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 5, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[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, 0, 0, 0, 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], [0, 0, 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, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[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, 0, 0, 0, 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, 0], [0, 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, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\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, 0, 0, 0, 0, 0], [0, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[3, 0, 6, 0, 0, 0], [5, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4], [0, 0, 7, 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, 2, 0, 0], [0, 0, 0, 2, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 6, 0, 0, 0, 3], [0, 0, 0, 0, 1, 5], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0], [0, 7, 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, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 4, 0, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0]]\nOutput: [[0, 4, 0, 0, 0, 0, 4, 0], [4, 4, 0, 0, 0, 0, 4, 4], [4, 4, 4, 0, 0, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0], [0, 4, 4, 0, 0, 4, 4, 0]]\n\nExample 2\nInput: [[5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 0, 0, 0, 0, 0, 0]]\nOutput: [[5, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 0, 0, 0, 0, 5, 5]]\n\nExample 3\nInput: [[0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0], [5, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 5, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0], [1, 0, 0, 0], [0, 1, 0, 0], [1, 0, 0, 0]]\nOutput: [[0, 0, 0, 0], [1, 0, 0, 1], [0, 1, 1, 0], [1, 0, 0, 1]]\n\nExample 5\nInput: [[0, 8, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]\nOutput: [[0, 8, 8, 0], [0, 0, 0, 0], [0, 0, 0, 0]]\n\nExample 6\nInput: [[5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0]]\nOutput: [[5, 0, 5, 5, 0, 5], [0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 5, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 1, 0, 0, 0, 0, 0], [1, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0, 1, 0], [0, 1, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 7, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 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, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7]]\nOutput: [[1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [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, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 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, 0, 0, 0, 0, 0, 0, 0, 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], [0, 0, 0, 0, 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, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0]]\n\nExample 4\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, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 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]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\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, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 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, 0, 0, 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, 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, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 0, 0], [0, 4, 2, 2, 4, 0, 0], [0, 1, 4, 4, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0], [0, 0, 4, 2, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0], [0, 0, 3, 3, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 4, 2, 2, 4], [0, 1, 5, 5, 1], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 3, 3, 3, 3], [0, 3, 3, 3, 3], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0], [1, 4, 0, 0, 0, 0], [0, 4, 0, 1, 1, 0], [0, 5, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0], [0, 3, 0, 3, 3, 0], [0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0], [0, 5, 1, 0, 0, 0], [0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 0], [0, 0, 0, 1, 1, 0], [0, 0, 0, 5, 5, 0], [0, 0, 0, 4, 4, 0]]\nOutput: [[0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 0], [0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0], [0, 0, 0, 3, 3, 0], [0, 0, 0, 3, 3, 0], [0, 0, 0, 3, 3, 0]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0], [0, 2, 4, 0, 0, 0], [0, 0, 2, 2, 0, 0], [0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0], [0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 0], [0, 4, 4, 0, 2, 2]]\nOutput: [[0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 0, 0], [0, 0, 2, 2, 0, 0], [0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0], [0, 0, 3, 0, 2, 0], [0, 0, 3, 0, 2, 0], [0, 3, 3, 0, 2, 2]]\n\nExample 6\nInput: [[0, 0, 0, 2, 0], [0, 0, 0, 1, 1], [0, 0, 0, 0, 0], [1, 1, 1, 1, 0], [2, 5, 5, 2, 0], [0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 3, 0], [0, 0, 0, 3, 3], [0, 0, 0, 0, 0], [3, 3, 3, 3, 0], [3, 3, 3, 3, 0], [0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 4, 4, 0, 2, 2, 0], [0, 0, 0, 0, 0, 5, 5, 0], [0, 4, 1, 0, 0, 5, 5, 0], [0, 4, 1, 0, 0, 0, 0, 0], [0, 1, 1, 1, 5, 0, 0, 0], [0, 1, 0, 1, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 3, 3, 0, 0, 0, 0], [0, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 0, 0], [0, 3, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 9, 0, 8, 0, 0], [0, 0, 0, 9, 0, 8, 0, 0], [0, 0, 0, 9, 0, 8, 0, 0], [0, 0, 0, 9, 0, 8, 0, 0], [0, 0, 0, 9, 0, 8, 0, 0], [0, 0, 0, 9, 0, 8, 0, 0], [0, 0, 0, 9, 0, 8, 0, 0], [0, 0, 0, 9, 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, 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, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 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]]\n\nExample 2\nInput: [[7, 9, 0, 3, 0, 0, 0], [7, 9, 0, 3, 0, 0, 0], [7, 9, 0, 3, 0, 0, 0], [7, 9, 0, 3, 0, 0, 0], [7, 9, 0, 3, 0, 0, 0], [7, 9, 0, 3, 0, 0, 0], [7, 9, 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]]\nOutput: [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 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]]\n\nExample 3\nInput: [[0, 8, 0, 5, 0, 0, 0], [0, 8, 0, 5, 0, 0, 0], [0, 8, 0, 5, 0, 0, 0], [0, 8, 0, 5, 0, 0, 0], [0, 8, 0, 5, 0, 0, 0], [0, 8, 0, 5, 0, 0, 0], [0, 8, 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, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 2, 2, 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, 2, 2, 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, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 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, 0, 0, 0], [2, 2, 2, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[3, 0, 0, 5, 9, 0, 0, 4, 0, 0, 0, 0], [3, 0, 0, 5, 9, 0, 0, 4, 0, 0, 0, 0], [3, 0, 0, 5, 9, 0, 0, 4, 0, 0, 0, 0], [3, 0, 0, 5, 9, 0, 0, 4, 0, 0, 0, 0], [3, 0, 0, 5, 9, 0, 0, 4, 0, 0, 0, 0], [3, 0, 0, 5, 9, 0, 0, 4, 0, 0, 0, 0], [3, 0, 0, 5, 9, 0, 0, 4, 0, 0, 0, 0], [3, 0, 0, 5, 9, 0, 0, 4, 0, 0, 0, 0], [3, 0, 0, 5, 9, 0, 0, 4, 0, 0, 0, 0]]\nOutput: [[3, 3, 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], [5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 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]]\n\nExample 6\nInput: [[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, 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, 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, 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, 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]]\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], [7, 7, 7, 7, 7, 7, 7, 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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0], [0, 0, 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]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[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, 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]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 4, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 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, 1, 1, 0, 0, 0], [0, 1, 1, 1, 1, 0, 0], [0, 1, 0, 0, 1, 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, 4, 4, 0, 0], [0, 0, 4, 4, 4, 4, 0], [0, 0, 4, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[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, 1, 0], [0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[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, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0], [0, 0, 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]]\nOutput: [[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, 4, 4, 4, 4, 4, 4, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 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]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 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, 4, 4, 4, 4, 0, 0], [0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 1, 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, 4, 0, 0, 0], [0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0], [0, 0, 1, 1, 1, 0], [0, 0, 1, 0, 1, 0], [0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0], [0, 4, 4, 4, 0, 0], [0, 4, 0, 4, 0, 0], [0, 4, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0]]
|
simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[8, 3, 8, 4, 4, 8, 4], [2, 2, 2, 2, 2, 2, 2], [3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4]]\nOutput: [[8, 3, 8, 4, 4, 8, 4], [8, 8, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 2], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3]]\n\nExample 2\nInput: [[3, 3, 3, 3, 3], [4, 8, 4, 8, 2], [2, 4, 8, 2, 8], [2, 3, 2, 2, 2], [4, 4, 4, 4, 4], [3, 3, 3, 3, 3]]\nOutput: [[2, 2, 2, 2, 2], [4, 8, 4, 8, 2], [2, 4, 8, 2, 8], [2, 3, 2, 2, 2], [3, 3, 3, 3, 3], [2, 2, 2, 2, 2]]\n\nExample 3\nInput: [[3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4]]\nOutput: [[2, 2, 2, 2, 2, 2], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3], [2, 2, 2, 2, 2, 2], [3, 3, 3, 3, 3, 3]]\n\nExample 4\nInput: [[2, 8, 2, 4], [2, 2, 2, 2], [4, 4, 4, 4], [8, 2, 3, 8]]\nOutput: [[2, 8, 2, 4], [8, 8, 8, 8], [3, 3, 3, 3], [8, 2, 3, 8]]\n\nExample 5\nInput: [[3, 3, 3, 2, 3, 2], [3, 3, 3, 8, 3, 8], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3]]\nOutput: [[3, 3, 3, 2, 3, 2], [3, 3, 3, 8, 3, 8], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2], [3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2]]\n\nExample 6\nInput: [[2, 2, 2, 2, 2, 2], [3, 8, 8, 3, 2, 2], [3, 3, 3, 3, 3, 3], [4, 4, 2, 2, 8, 3], [2, 2, 2, 2, 2, 2], [8, 8, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3]]\nOutput: [[8, 8, 8, 8, 8, 8], [3, 8, 8, 3, 2, 2], [2, 2, 2, 2, 2, 2], [4, 4, 2, 2, 8, 3], [8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[4, 4, 4, 4, 4, 4, 4], [3, 2, 8, 2, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3], [2, 2, 4, 8, 3, 4, 4], [2, 2, 8, 8, 8, 4, 2]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[3, 3, 3, 3, 3, 3, 3], [3, 2, 8, 2, 4, 3, 3], [2, 2, 2, 2, 2, 2, 2], [2, 2, 4, 8, 3, 4, 4], [2, 2, 8, 8, 8, 4, 2]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 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, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 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]]\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, 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, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 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]]\n\nExample 2\nInput: [[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], [0, 0, 1, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 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]]\nOutput: [[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], [0, 0, 1, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 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]]\n\nExample 3\nInput: [[0, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 4, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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]]\nOutput: [[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 3, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 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, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 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, 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, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 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, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 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, 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, 4, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[5, 5, 5, 5, 5, 0, 0, 0], [9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [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, 5, 5, 5, 5, 5, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[8, 8, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0], [9, 9, 9, 9, 9, 9, 9], [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]]\nOutput: [[0, 8, 8, 0, 0, 0, 0], [0, 5, 5, 5, 5, 5, 0], [9, 9, 9, 9, 9, 9, 9], [0, 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]]\n\nExample 3\nInput: [[7, 7, 7, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 0], [2, 2, 2, 2, 2, 2, 2], [6, 6, 6, 6, 6, 0, 0], [3, 3, 3, 3, 3, 3, 0], [9, 9, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 0, 0]]\nOutput: [[0, 7, 7, 7, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 8, 8], [0, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2], [0, 6, 6, 6, 6, 6, 0], [0, 3, 3, 3, 3, 3, 3], [0, 9, 9, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0]]\n\nExample 4\nInput: [[2, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 0, 0, 0], [8, 8, 8, 8, 8, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 0, 0, 0], [9, 9, 9, 9, 9, 0, 0, 0, 0], [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]]\nOutput: [[0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 0, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0], [0, 9, 9, 9, 9, 9, 0, 0, 0], [0, 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]]\n\nExample 5\nInput: [[7, 7, 7, 7, 7, 7, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0], [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]]\nOutput: [[0, 7, 7, 7, 7, 7, 7, 0], [0, 9, 9, 9, 9, 9, 9, 0], [0, 2, 2, 2, 2, 2, 2, 0], [0, 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]]\n\nExample 6\nInput: [[7, 7, 0, 0, 0, 0], [3, 3, 3, 3, 0, 0], [6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[0, 7, 7, 0, 0, 0], [0, 3, 3, 3, 3, 0], [0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[4, 4, 4, 4, 0, 0], [6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 4, 4, 4, 4, 0], [6, 6, 6, 6, 6, 6], [0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 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]]\nOutput: [[6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6], [6, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 6], [6, 8, 7, 8, 7, 7, 7, 7, 8, 7, 8, 6], [6, 8, 7, 8, 7, 8, 8, 7, 8, 7, 8, 6], [6, 8, 7, 8, 7, 8, 8, 7, 8, 7, 8, 6], [6, 8, 7, 8, 7, 7, 7, 7, 8, 7, 8, 6], [6, 8, 7, 6, 8, 8, 8, 8, 6, 7, 8, 6], [6, 6, 8, 7, 7, 7, 7, 7, 7, 8, 6, 6]]\n\nExample 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, 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]]\nOutput: [[6, 7, 7, 7, 7, 7, 7, 7, 7, 6], [6, 7, 8, 7, 7, 7, 7, 8, 7, 6], [6, 7, 8, 7, 8, 8, 7, 8, 7, 6], [6, 7, 8, 7, 8, 8, 7, 8, 7, 6], [6, 7, 8, 7, 7, 7, 7, 8, 7, 6], [6, 7, 6, 8, 8, 8, 8, 6, 7, 6], [6, 6, 7, 7, 7, 7, 7, 7, 6, 6]]\n\nExample 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, 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]]\nOutput: [[8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 6], [8, 7, 8, 7, 7, 7, 7, 8, 7, 8, 6], [8, 7, 8, 7, 8, 8, 7, 8, 7, 8, 6], [8, 7, 8, 7, 8, 8, 7, 8, 7, 8, 6], [8, 7, 8, 7, 7, 7, 7, 8, 7, 8, 6], [8, 7, 6, 8, 8, 8, 8, 6, 7, 8, 6], [6, 8, 7, 7, 7, 7, 7, 7, 8, 6, 6]]\n\nExample 4\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, 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]]\nOutput: [[6, 7, 7, 7, 7, 7, 7, 6, 6], [7, 7, 8, 8, 8, 8, 7, 7, 6], [7, 8, 7, 7, 7, 7, 8, 7, 6], [7, 8, 7, 8, 8, 7, 8, 7, 6], [7, 8, 7, 8, 8, 7, 8, 7, 6], [7, 8, 7, 7, 7, 7, 8, 7, 6], [7, 6, 8, 8, 8, 8, 6, 7, 6], [6, 7, 7, 7, 7, 7, 7, 6, 6], [6, 6, 6, 7, 7, 6, 6, 6, 6]]\n\nExample 5\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, 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: [[6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8, 8, 8, 6, 6], [8, 7, 7, 7, 7, 7, 7, 8, 6], [8, 7, 8, 8, 8, 8, 7, 7, 8], [8, 8, 7, 7, 7, 7, 8, 7, 8], [8, 8, 7, 8, 8, 7, 8, 7, 8], [8, 8, 7, 8, 8, 7, 8, 7, 8], [8, 8, 7, 7, 7, 7, 8, 7, 8], [8, 6, 8, 8, 8, 8, 6, 7, 8], [8, 7, 7, 7, 7, 7, 7, 8, 6], [6, 8, 8, 8, 8, 8, 8, 6, 6], [6, 6, 6, 8, 8, 6, 6, 6, 6]]\n\nExample 6\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, 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]]\nOutput: [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 7, 7, 7, 7, 7, 7, 6, 6], [7, 7, 8, 8, 8, 8, 8, 8, 7, 7], [7, 8, 7, 7, 7, 7, 7, 7, 8, 6], [7, 7, 7, 8, 8, 8, 8, 7, 7, 8], [7, 7, 8, 7, 7, 7, 7, 8, 7, 8], [7, 7, 8, 7, 8, 8, 7, 8, 7, 8], [7, 7, 8, 7, 8, 8, 7, 8, 7, 8], [7, 7, 8, 7, 7, 7, 7, 8, 7, 8], [7, 7, 6, 8, 8, 8, 8, 6, 7, 8], [7, 8, 7, 7, 7, 7, 7, 7, 8, 7], [6, 7, 8, 8, 8, 8, 8, 8, 7, 6], [6, 7, 7, 7, 8, 8, 7, 7, 7, 6], [6, 6, 6, 6, 7, 7, 6, 6, 6, 6]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 6], [8, 7, 8, 7, 7, 7, 7, 8, 7, 8, 6], [8, 7, 8, 7, 8, 8, 7, 8, 7, 8, 6], [8, 7, 8, 7, 8, 8, 7, 8, 7, 8, 6], [8, 7, 8, 7, 7, 7, 7, 8, 7, 8, 6], [8, 7, 6, 8, 8, 8, 8, 6, 7, 8, 6]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 1, 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, 4, 4, 4, 4, 0, 0], [0, 0, 4, 4, 4, 4, 0, 0], [0, 0, 4, 4, 4, 4, 0, 0], [0, 0, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 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, 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, 4, 4, 0, 0, 0], [0, 0, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 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, 4, 4, 4, 0, 0], [0, 0, 4, 4, 4, 0, 0], [0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\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, 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]]\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, 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]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 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]]\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, 4, 4, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 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, 4, 4, 0, 0], [0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0], [0, 1, 1, 1, 0, 0], [0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0], [0, 4, 4, 4, 0, 0], [0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0]]
|
simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 0, 0], [0, 0, 4, 4, 4, 4, 0, 0, 0, 0], [0, 0, 4, 4, 4, 4, 0, 0, 0, 0], [0, 0, 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]]\nOutput: [[0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 4, 0], [0, 4, 4, 4, 4, 0], [0, 4, 4, 4, 4, 0], [0, 4, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 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]]\nOutput: [[0, 0, 0, 0], [0, 8, 0, 0], [0, 8, 8, 0], [0, 0, 0, 0]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0], [0, 3, 3, 3, 0], [0, 3, 3, 3, 0], [0, 3, 3, 3, 0], [0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0], [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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 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, 3, 3, 0], [0, 3, 3, 0], [0, 0, 0, 0]]\n\nExample 5\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, 4, 4, 4], [0, 0, 0, 0, 4, 4, 4], [0, 0, 0, 0, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0], [0, 4, 4, 4, 0], [0, 4, 4, 4, 0], [0, 4, 4, 4, 0], [0, 0, 0, 0, 0]]\n\nExample 6\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], [9, 9, 9, 9, 0, 0], [0, 9, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0], [9, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 0], [0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0], [0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0], [0, 8, 8, 0], [0, 8, 8, 0], [0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], [4, 8, 7, 6, 4, 6, 9, 8, 5, 6, 0]]\nOutput: [[4, 4, 4, 4, 4, 4, 9, 8, 5, 6, 0], [4, 4, 4, 4, 4, 6, 9, 8, 5, 6, 0], [4, 4, 4, 4, 4, 6, 9, 8, 5, 6, 0], [4, 4, 4, 6, 4, 6, 9, 8, 5, 6, 0], [4, 4, 7, 6, 4, 6, 9, 8, 5, 6, 0], [4, 8, 7, 6, 4, 6, 9, 8, 5, 6, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0, 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], [6, 7, 4, 1, 2, 3, 6, 0]]\nOutput: [[6, 6, 6, 6, 6, 3, 6, 0], [6, 6, 6, 6, 2, 3, 6, 0], [6, 6, 6, 1, 2, 3, 6, 0], [6, 6, 4, 1, 2, 3, 6, 0], [6, 7, 4, 1, 2, 3, 6, 0]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 0, 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], [7, 5, 9, 4, 4, 2, 3, 0]]\nOutput: [[7, 7, 7, 7, 7, 2, 3, 0], [7, 7, 7, 7, 4, 2, 3, 0], [7, 7, 7, 4, 4, 2, 3, 0], [7, 7, 9, 4, 4, 2, 3, 0], [7, 5, 9, 4, 4, 2, 3, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 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], [5, 6, 5, 3, 6, 9, 5, 9, 1, 0]]\nOutput: [[5, 5, 5, 5, 5, 5, 5, 9, 1, 0], [5, 5, 5, 5, 5, 9, 5, 9, 1, 0], [5, 5, 5, 5, 6, 9, 5, 9, 1, 0], [5, 5, 5, 3, 6, 9, 5, 9, 1, 0], [5, 5, 5, 3, 6, 9, 5, 9, 1, 0], [5, 6, 5, 3, 6, 9, 5, 9, 1, 0]]\n\nExample 5\nInput: [[0, 0, 0, 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, 0, 0, 0, 0], [8, 5, 4, 5, 8, 1, 3, 8, 0]]\nOutput: [[8, 8, 8, 8, 8, 1, 3, 8, 0], [8, 8, 8, 8, 8, 1, 3, 8, 0], [8, 8, 8, 5, 8, 1, 3, 8, 0], [8, 8, 4, 5, 8, 1, 3, 8, 0], [8, 5, 4, 5, 8, 1, 3, 8, 0]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [6, 1, 4, 2, 4, 5, 0]]\nOutput: [[6, 6, 6, 6, 4, 5, 0], [6, 6, 6, 2, 4, 5, 0], [6, 6, 4, 2, 4, 5, 0], [6, 1, 4, 2, 4, 5, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [7, 9, 3, 1, 1, 3, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[7, 7, 7, 7, 1, 3, 0], [7, 7, 7, 1, 1, 3, 0], [7, 7, 3, 1, 1, 3, 0], [7, 9, 3, 1, 1, 3, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[3, 7, 3, 0, 7, 7, 0, 7, 3, 0], [0, 3, 0, 0, 0, 3, 7, 3, 7, 0], [0, 3, 0, 0, 0, 7, 0, 3, 7, 7], [7, 0, 0, 7, 0, 0, 0, 7, 0, 3], [7, 0, 0, 3, 3, 3, 3, 3, 7, 3], [3, 3, 7, 3, 0, 0, 7, 0, 0, 7], [7, 0, 3, 7, 0, 3, 3, 7, 7, 0]]\nOutput: [[0, 3, 0, 0, 0, 3, 7, 3, 7, 0], [0, 3, 0, 0, 0, 7, 0, 3, 7, 7], [7, 0, 0, 7, 0, 0, 0, 7, 0, 3], [7, 0, 0, 3, 3, 3, 3, 3, 7, 3], [3, 3, 7, 3, 0, 0, 7, 0, 0, 7], [7, 0, 3, 7, 0, 3, 3, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[6, 0, 1, 5, 5, 5, 6, 6, 5, 1, 5], [5, 1, 5, 6, 1, 5, 6, 1, 5, 6, 1], [5, 6, 6, 5, 1, 1, 6, 5, 1, 1, 5], [5, 1, 1, 6, 6, 0, 6, 5, 1, 5, 0], [5, 1, 6, 1, 1, 6, 5, 5, 6, 6, 6], [1, 1, 1, 5, 6, 6, 6, 6, 6, 6, 1], [5, 1, 1, 5, 1, 5, 1, 6, 0, 5, 0]]\nOutput: [[5, 1, 5, 6, 1, 5, 6, 1, 5, 6, 1], [5, 6, 6, 5, 1, 1, 6, 5, 1, 1, 5], [5, 1, 1, 6, 6, 0, 6, 5, 1, 5, 0], [5, 1, 6, 1, 1, 6, 5, 5, 6, 6, 6], [1, 1, 1, 5, 6, 6, 6, 6, 6, 6, 1], [5, 1, 1, 5, 1, 5, 1, 6, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[0, 0, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 2, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 2, 2], [0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 2, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 2, 2], [0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[1, 1, 1, 6, 6, 6, 7, 6, 6, 7, 1], [6, 7, 1, 7, 7, 7, 0, 7, 6, 1, 1], [6, 1, 6, 7, 1, 6, 7, 7, 0, 7, 0], [7, 7, 1, 6, 1, 1, 6, 0, 6, 7, 1], [1, 7, 7, 6, 1, 6, 1, 6, 7, 0, 1], [1, 6, 1, 6, 7, 6, 0, 7, 7, 1, 6]]\nOutput: [[6, 7, 1, 7, 7, 7, 0, 7, 6, 1, 1], [6, 1, 6, 7, 1, 6, 7, 7, 0, 7, 0], [7, 7, 1, 6, 1, 1, 6, 0, 6, 7, 1], [1, 7, 7, 6, 1, 6, 1, 6, 7, 0, 1], [1, 6, 1, 6, 7, 6, 0, 7, 7, 1, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[0, 0, 9, 9, 0, 0, 9], [0, 9, 0, 9, 0, 0, 0], [0, 8, 0, 9, 8, 8, 0], [9, 8, 8, 0, 0, 0, 8], [9, 9, 0, 9, 9, 8, 0], [8, 9, 0, 8, 0, 8, 9], [9, 8, 8, 0, 9, 0, 0], [8, 0, 8, 0, 8, 0, 9], [0, 8, 9, 0, 8, 9, 0], [8, 8, 8, 9, 9, 8, 9]]\nOutput: [[0, 9, 0, 9, 0, 0, 0], [0, 8, 0, 9, 8, 8, 0], [9, 8, 8, 0, 0, 0, 8], [9, 9, 0, 9, 9, 8, 0], [8, 9, 0, 8, 0, 8, 9], [9, 8, 8, 0, 9, 0, 0], [8, 0, 8, 0, 8, 0, 9], [0, 8, 9, 0, 8, 9, 0], [8, 8, 8, 9, 9, 8, 9], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[1, 1, 7, 3, 1, 1], [7, 1, 1, 3, 0, 3], [7, 3, 7, 1, 1, 7], [1, 3, 7, 7, 7, 3], [7, 0, 3, 1, 7, 1], [3, 7, 7, 3, 3, 1], [7, 3, 1, 3, 1, 0], [1, 7, 3, 3, 3, 7], [1, 7, 3, 1, 3, 7]]\nOutput: [[7, 1, 1, 3, 0, 3], [7, 3, 7, 1, 1, 7], [1, 3, 7, 7, 7, 3], [7, 0, 3, 1, 7, 1], [3, 7, 7, 3, 3, 1], [7, 3, 1, 3, 1, 0], [1, 7, 3, 3, 3, 7], [1, 7, 3, 1, 3, 7], [0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[9, 7, 7, 9, 9, 6, 6, 7, 6, 9, 7, 9, 6, 6], [6, 0, 7, 9, 7, 7, 9, 6, 7, 9, 7, 7, 6, 6], [6, 7, 7, 6, 9, 6, 9, 7, 0, 9, 9, 7, 7, 9], [9, 9, 7, 0, 6, 7, 6, 6, 6, 6, 7, 9, 6, 9], [9, 9, 6, 9, 0, 7, 6, 6, 7, 6, 9, 7, 7, 7], [7, 7, 0, 0, 9, 6, 6, 9, 9, 9, 6, 7, 6, 9]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[6, 0, 7, 9, 7, 7, 9, 6, 7, 9, 7, 7, 6, 6], [6, 7, 7, 6, 9, 6, 9, 7, 0, 9, 9, 7, 7, 9], [9, 9, 7, 0, 6, 7, 6, 6, 6, 6, 7, 9, 6, 9], [9, 9, 6, 9, 0, 7, 6, 6, 7, 6, 9, 7, 7, 7], [7, 7, 0, 0, 9, 6, 6, 9, 9, 9, 6, 7, 6, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 9, 8, 5, 0, 0], [0, 0, 0, 6, 6, 7, 0, 0], [0, 0, 0, 9, 3, 3, 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, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 3, 6, 0, 0], [0, 0, 1, 4, 5, 0, 0], [0, 0, 2, 7, 9, 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, 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]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 2, 3, 1, 7, 0, 0], [0, 0, 8, 0, 0, 0, 6, 0, 0], [0, 0, 7, 0, 9, 0, 5, 0, 0], [0, 0, 6, 0, 0, 0, 1, 0, 0], [0, 0, 8, 4, 7, 3, 8, 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, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\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, 5, 3, 6, 0, 0, 0], [0, 0, 0, 9, 6, 5, 0, 0, 0], [0, 0, 0, 9, 1, 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]]\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, 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, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 8, 1, 3, 8, 0, 0], [0, 0, 8, 0, 0, 0, 2, 0, 0], [0, 0, 6, 0, 4, 0, 2, 0, 0], [0, 0, 5, 0, 0, 0, 7, 0, 0], [0, 0, 6, 3, 6, 6, 5, 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, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0], [4, 5, 5, 1, 3], [2, 0, 0, 0, 5], [6, 0, 4, 0, 9], [9, 0, 0, 0, 6], [2, 8, 3, 9, 3]]\nOutput: [[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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 1, 1, 3, 0], [0, 8, 3, 4, 0], [0, 5, 4, 6, 0], [0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 1, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 4], [0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 4, 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, 4], [0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 3, 3, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0]]\n\nExample 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, 4, 4, 0, 0], [0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 0, 0, 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]]\nOutput: [[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, 0, 0], [0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 0, 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]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 4, 4, 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, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 3, 3, 0, 0, 4, 0], [0, 0, 0, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[0, 0, 4, 4, 0], [0, 0, 4, 4, 0], [0, 0, 0, 0, 0], [0, 4, 4, 0, 0], [0, 4, 4, 0, 0], [0, 0, 0, 0, 0]]\nOutput: [[0, 0, 3, 3, 0], [0, 0, 3, 3, 0], [0, 0, 0, 0, 0], [0, 3, 3, 0, 0], [0, 3, 3, 0, 0], [0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0], [0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0], [0, 0, 0, 4, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0], [0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0], [0, 0, 0, 4, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [3, 3, 0, 0, 0, 0, 0, 0, 3, 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, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0]]\nOutput: [[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, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 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, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 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]]\nOutput: [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 8, 6, 0], [0, 0, 0, 0, 3, 0, 0, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[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, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1]]\n\nExample 5\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, 1, 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, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 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: [[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, 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]]\n\nExample 6\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, 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, 0]]\nOutput: [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[3, 1, 0, 0, 0, 7, 0, 2, 0, 0, 0], [8, 0, 9, 0, 0, 0, 0, 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, 0, 3, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[7, 6, 6, 9, 9], [5, 1, 1, 3, 3], [1, 1, 1, 7, 2], [1, 5, 1, 1, 9]]\nOutput: [[7, 6, 6, 9, 9, 0, 0, 0, 0, 0], [5, 1, 1, 3, 3, 0, 0, 0, 0, 0], [1, 1, 1, 7, 2, 0, 0, 0, 0, 0], [1, 5, 1, 1, 9, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[2, 2, 7, 7], [7, 7, 7, 7], [3, 7, 1, 7], [3, 8, 6, 1], [7, 4, 4, 1]]\nOutput: [[2, 2, 7, 7, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0], [3, 7, 1, 7, 0, 0, 0, 0], [3, 8, 6, 1, 0, 0, 0, 0], [7, 7, 2, 2, 0, 0, 0, 0]]\n\nExample 3\nInput: [[7, 7, 8, 9, 7], [1, 7, 9, 9, 8], [1, 5, 2, 2, 2], [5, 5, 2, 1, 5], [5, 9, 4, 5, 6]]\nOutput: [[7, 7, 8, 9, 7, 0, 0, 0, 0, 0], [1, 7, 9, 9, 8, 0, 0, 0, 0, 0], [1, 5, 2, 2, 2, 0, 0, 0, 0, 0], [5, 5, 2, 1, 5, 0, 0, 0, 0, 0], [5, 9, 4, 5, 6, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[6, 1, 8], [1, 1, 4], [1, 6, 2]]\nOutput: [[6, 1, 8, 0, 0, 0], [1, 1, 4, 0, 0, 0], [1, 6, 2, 0, 0, 0]]\n\nExample 5\nInput: [[3, 2, 2], [8, 7, 7], [4, 3, 7], [4, 7, 7], [4, 1, 5]]\nOutput: [[3, 2, 2, 0, 0, 0], [8, 7, 7, 0, 0, 0], [4, 3, 7, 0, 0, 0], [2, 2, 3, 0, 0, 0], [7, 7, 8, 0, 0, 0]]\n\nExample 6\nInput: [[2, 2, 2, 2], [2, 2, 8, 8], [2, 7, 7, 5], [2, 4, 7, 8], [3, 4, 1, 1]]\nOutput: [[2, 2, 2, 2, 0, 0, 0, 0], [2, 2, 8, 8, 0, 0, 0, 0], [2, 7, 7, 5, 0, 0, 0, 0], [2, 4, 7, 8, 0, 0, 0, 0], [2, 2, 2, 2, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[5, 5, 9, 1, 1], [5, 5, 5, 5, 4], [5, 6, 6, 1, 2], [5, 5, 3, 8, 8]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
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[[5, 5, 9, 1, 1, 0, 0, 0, 0, 0], [5, 5, 5, 5, 4, 0, 0, 0, 0, 0], [5, 6, 6, 1, 2, 0, 0, 0, 0, 0], [5, 5, 3, 8, 8, 0, 0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 0, 0, 0, 0, 0, 0], [6, 0, 8, 0, 0, 0, 0, 0], [6, 0, 0, 5, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 7, 0, 0], [6, 0, 0, 0, 0, 0, 9, 0], [6, 0, 0, 0, 0, 0, 0, 3]]\nOutput: [[6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 6, 6, 6], [6, 6, 8, 6, 6, 6, 6, 6], [6, 6, 6, 5, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 7, 6, 6], [6, 6, 6, 6, 6, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 3]]\n\nExample 2\nInput: [[4, 4, 4, 4, 4, 4, 4], [4, 1, 0, 0, 0, 0, 0], [4, 0, 2, 0, 0, 0, 0], [4, 0, 0, 3, 0, 0, 0], [4, 0, 0, 0, 6, 0, 0], [4, 0, 0, 0, 0, 1, 0], [4, 0, 0, 0, 0, 0, 5]]\nOutput: [[4, 4, 4, 4, 4, 4, 4], [4, 1, 4, 4, 4, 4, 4], [4, 4, 2, 4, 4, 4, 4], [4, 4, 4, 3, 4, 4, 4], [4, 4, 4, 4, 6, 4, 4], [4, 4, 4, 4, 4, 1, 4], [4, 4, 4, 4, 4, 4, 5]]\n\nExample 3\nInput: [[9, 9, 9, 9, 9, 9, 9, 0, 0], [9, 4, 0, 0, 0, 0, 0, 0, 0], [9, 0, 4, 0, 0, 0, 0, 0, 0], [9, 0, 0, 2, 0, 0, 0, 0, 0], [9, 0, 0, 0, 3, 0, 0, 0, 0], [9, 0, 0, 0, 0, 1, 0, 0, 0], [9, 0, 0, 0, 0, 0, 7, 0, 0]]\nOutput: [[9, 9, 9, 9, 9, 9, 9, 0, 0], [9, 4, 9, 9, 9, 9, 9, 9, 0], [9, 9, 4, 9, 9, 9, 9, 9, 9], [9, 9, 9, 2, 9, 9, 9, 9, 9], [9, 9, 9, 9, 3, 9, 9, 9, 9], [9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 7, 9, 9]]\n\nExample 4\nInput: [[6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 5, 0, 0, 0, 0, 0, 0, 0], [6, 0, 3, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0, 0], [6, 0, 0, 0, 9, 0, 0, 0, 0], [6, 0, 0, 0, 0, 5, 0, 0, 0], [6, 0, 0, 0, 0, 0, 9, 0, 0], [6, 0, 0, 0, 0, 0, 0, 1, 0], [6, 0, 0, 0, 0, 0, 0, 0, 6]]\nOutput: [[6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 5, 6, 6, 6, 6, 6, 6, 6], [6, 6, 3, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 9, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 6, 6, 6], [6, 6, 6, 6, 6, 6, 9, 6, 6], [6, 6, 6, 6, 6, 6, 6, 1, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]]\n\nExample 5\nInput: [[4, 4, 4, 4, 4, 4, 4, 4, 0], [4, 5, 0, 0, 0, 0, 0, 0, 0], [4, 0, 8, 0, 0, 0, 0, 0, 0], [4, 0, 0, 1, 0, 0, 0, 0, 0], [4, 0, 0, 0, 3, 0, 0, 0, 0], [4, 0, 0, 0, 0, 8, 0, 0, 0], [4, 0, 0, 0, 0, 0, 8, 0, 0], [4, 0, 0, 0, 0, 0, 0, 2, 0]]\nOutput: [[4, 4, 4, 4, 4, 4, 4, 4, 0], [4, 5, 4, 4, 4, 4, 4, 4, 4], [4, 4, 8, 4, 4, 4, 4, 4, 4], [4, 4, 4, 1, 4, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 4, 8, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8, 4, 4], [4, 4, 4, 4, 4, 4, 4, 2, 4]]\n\nExample 6\nInput: [[4, 4, 4, 4, 4], [4, 2, 0, 0, 0], [4, 0, 4, 0, 0], [4, 0, 0, 5, 0], [4, 0, 0, 0, 5], [0, 0, 0, 0, 0]]\nOutput: [[4, 4, 4, 4, 4], [4, 2, 4, 4, 4], [4, 4, 4, 4, 4], [4, 4, 4, 5, 4], [4, 4, 4, 4, 5], [0, 4, 4, 4, 4]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[3, 3, 3, 3, 3], [3, 1, 0, 0, 0], [3, 0, 1, 0, 0], [3, 0, 0, 3, 0], [3, 0, 0, 0, 8], [0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
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[[3, 3, 3, 3, 3], [3, 1, 3, 3, 3], [3, 3, 1, 3, 3], [3, 3, 3, 3, 3], [3, 3, 3, 3, 8], [0, 3, 3, 3, 3]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[9, 9, 1, 9, 1, 1, 1, 9, 1, 9, 1, 9], [9, 9, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 9, 1, 9, 9, 9, 9, 9, 1, 9, 1], [9, 1, 1, 1, 9, 1, 1, 9, 9, 1, 1, 9], [9, 9, 9, 9, 1, 9, 9, 9, 9, 9, 1, 9], [9, 1, 9, 1, 9, 9, 9, 1, 1, 9, 9, 1], [1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1], [9, 1, 9, 9, 9, 1, 1, 9, 9, 1, 1, 1]]\nOutput: [[1, 1, 9, 1, 9, 9, 9, 1, 9, 1, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 9, 1, 9, 1, 1, 1, 1, 1, 9, 1, 9], [1, 9, 9, 9, 1, 9, 9, 1, 1, 9, 9, 1], [1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 9, 1], [1, 9, 1, 9, 1, 1, 1, 9, 9, 1, 1, 9], [9, 9, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9], [1, 9, 1, 1, 1, 9, 9, 1, 1, 9, 9, 9]]\n\nExample 2\nInput: [[6, 6, 6, 5, 5, 5, 6, 6, 5, 5], [5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [6, 6, 5, 6, 6, 5, 5, 5, 6, 5], [6, 5, 5, 6, 5, 5, 6, 5, 5, 5], [6, 6, 6, 5, 5, 5, 5, 5, 6, 6], [6, 5, 6, 6, 6, 5, 5, 5, 5, 6], [6, 6, 6, 5, 6, 5, 6, 5, 6, 5]]\nOutput: [[5, 5, 5, 6, 6, 6, 5, 5, 6, 6], [6, 6, 6, 6, 5, 5, 6, 5, 6, 6], [5, 5, 6, 5, 5, 6, 6, 6, 5, 6], [5, 6, 6, 5, 6, 6, 5, 6, 6, 6], [5, 5, 5, 6, 6, 6, 6, 6, 5, 5], [5, 6, 5, 5, 5, 6, 6, 6, 6, 5], [5, 5, 5, 6, 5, 6, 5, 6, 5, 6]]\n\nExample 3\nInput: [[8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 9], [8, 8, 8, 9, 8, 8, 9, 9, 9, 9, 8], [8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9], [9, 8, 8, 8, 9, 8, 8, 9, 9, 8, 9], [9, 8, 8, 8, 8, 8, 9, 9, 9, 8, 9], [8, 8, 8, 9, 9, 9, 8, 8, 8, 8, 8], [8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9]]\nOutput: [[9, 9, 8, 9, 9, 9, 9, 8, 9, 9, 8], [9, 9, 9, 8, 9, 9, 8, 8, 8, 8, 9], [9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8], [8, 9, 9, 9, 8, 9, 9, 8, 8, 9, 8], [8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 8], [9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9], [9, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8]]\n\nExample 4\nInput: [[4, 9, 4, 9, 9, 4, 4, 9, 4], [9, 4, 4, 4, 9, 9, 4, 4, 4], [4, 9, 9, 4, 4, 9, 9, 4, 4], [9, 9, 9, 4, 4, 4, 9, 4, 4], [9, 4, 4, 4, 9, 4, 9, 4, 4], [9, 9, 9, 9, 9, 9, 9, 4, 4], [4, 9, 9, 9, 9, 9, 4, 4, 9], [9, 9, 9, 9, 9, 4, 9, 4, 4], [9, 9, 9, 4, 9, 9, 4, 4, 9]]\nOutput: [[9, 4, 9, 4, 4, 9, 9, 4, 9], [4, 9, 9, 9, 4, 4, 9, 9, 9], [9, 4, 4, 9, 9, 4, 4, 9, 9], [4, 4, 4, 9, 9, 9, 4, 9, 9], [4, 9, 9, 9, 4, 9, 4, 9, 9], [4, 4, 4, 4, 4, 4, 4, 9, 9], [9, 4, 4, 4, 4, 4, 9, 9, 4], [4, 4, 4, 4, 4, 9, 4, 9, 9], [4, 4, 4, 9, 4, 4, 9, 9, 4]]\n\nExample 5\nInput: [[7, 6, 6, 6, 6, 6, 7, 6, 7], [7, 7, 7, 6, 6, 7, 6, 7, 7], [7, 6, 7, 7, 7, 6, 7, 6, 7], [6, 7, 6, 6, 7, 7, 7, 6, 7], [7, 6, 6, 6, 7, 6, 7, 6, 7], [7, 6, 6, 7, 6, 6, 7, 7, 7], [6, 6, 6, 7, 6, 6, 7, 7, 7], [7, 7, 6, 7, 6, 7, 6, 6, 7], [7, 7, 7, 6, 7, 6, 7, 6, 7], [7, 7, 6, 7, 6, 6, 6, 7, 7], [7, 6, 7, 6, 7, 6, 7, 7, 6], [7, 7, 6, 6, 7, 6, 6, 6, 7]]\nOutput: [[6, 7, 7, 7, 7, 7, 6, 7, 6], [6, 6, 6, 7, 7, 6, 7, 6, 6], [6, 7, 6, 6, 6, 7, 6, 7, 6], [7, 6, 7, 7, 6, 6, 6, 7, 6], [6, 7, 7, 7, 6, 7, 6, 7, 6], [6, 7, 7, 6, 7, 7, 6, 6, 6], [7, 7, 7, 6, 7, 7, 6, 6, 6], [6, 6, 7, 6, 7, 6, 7, 7, 6], [6, 6, 6, 7, 6, 7, 6, 7, 6], [6, 6, 7, 6, 7, 7, 7, 6, 6], [6, 7, 6, 7, 6, 7, 6, 6, 7], [6, 6, 7, 7, 6, 7, 7, 7, 6]]\n\nExample 6\nInput: [[5, 8, 8, 8, 8, 8, 8, 5, 8, 5], [5, 8, 5, 5, 5, 5, 5, 5, 8, 8], [8, 5, 8, 8, 5, 5, 5, 5, 5, 5], [5, 5, 8, 8, 8, 5, 8, 8, 8, 5], [8, 5, 8, 8, 5, 8, 8, 8, 8, 8], [8, 8, 8, 5, 5, 8, 5, 8, 5, 5], [5, 8, 8, 5, 8, 5, 8, 8, 8, 5], [5, 5, 5, 5, 5, 5, 8, 5, 5, 8], [5, 8, 5, 5, 8, 5, 8, 8, 8, 5], [5, 5, 5, 8, 8, 5, 8, 8, 5, 5], [5, 5, 5, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 5, 5, 5, 5, 8, 8, 5], [8, 5, 5, 8, 5, 8, 5, 8, 5, 5], [8, 8, 5, 5, 8, 5, 5, 8, 8, 5]]\nOutput: [[8, 5, 5, 5, 5, 5, 5, 8, 5, 8], [8, 5, 8, 8, 8, 8, 8, 8, 5, 5], [5, 8, 5, 5, 8, 8, 8, 8, 8, 8], [8, 8, 5, 5, 5, 8, 5, 5, 5, 8], [5, 8, 5, 5, 8, 5, 5, 5, 5, 5], [5, 5, 5, 8, 8, 5, 8, 5, 8, 8], [8, 5, 5, 8, 5, 8, 5, 5, 5, 8], [8, 8, 8, 8, 8, 8, 5, 8, 8, 5], [8, 5, 8, 8, 5, 8, 5, 5, 5, 8], [8, 8, 8, 5, 5, 8, 5, 5, 8, 8], [8, 8, 8, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 8, 8, 8, 8, 5, 5, 8], [5, 8, 8, 5, 8, 5, 8, 5, 8, 8], [5, 5, 8, 8, 5, 8, 8, 5, 5, 8]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[4, 4, 4, 8, 4, 4, 8, 8, 8, 4, 4], [8, 4, 4, 4, 8, 8, 4, 8, 8, 4, 4], [4, 8, 8, 8, 8, 8, 4, 8, 8, 4, 4], [8, 4, 8, 4, 4, 4, 4, 4, 4, 8, 8], [4, 8, 4, 8, 8, 4, 8, 4, 4, 4, 4], [4, 4, 8, 4, 4, 8, 4, 4, 4, 4, 4]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[8, 8, 8, 4, 8, 8, 4, 4, 4, 8, 8], [4, 8, 8, 8, 4, 4, 8, 4, 4, 8, 8], [8, 4, 4, 4, 4, 4, 8, 4, 4, 8, 8], [4, 8, 4, 8, 8, 8, 8, 8, 8, 4, 4], [8, 4, 8, 4, 4, 8, 4, 8, 8, 8, 8], [8, 8, 4, 8, 8, 4, 8, 8, 8, 8, 8]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 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]]\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, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\n\nExample 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, 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]]\nOutput: [[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, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7]]\n\nExample 3\nInput: [[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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5]]\n\nExample 4\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, 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]]\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, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 6]]\n\nExample 5\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, 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]]\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, 4, 4], [0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 4, 4]]\n\nExample 6\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, 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]]\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, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0, 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, 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, 9, 9, 9]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 8, 0, 8, 0]]\n\nExample 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, 6, 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, 6], [0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0]]\n\nExample 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], [7, 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, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0]]\n\nExample 4\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, 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, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 5, 0], [0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 5, 0, 0, 0, 0, 0, 5, 0]]\n\nExample 5\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, 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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [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, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 5, 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, 5, 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]]\n\nExample 6\nInput: [[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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 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, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 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, 6, 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, 6, 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], [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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 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]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 7, 0, 0, 0], [0, 7, 0, 7, 0, 0], [7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[4, 6, 9, 0, 6, 9, 0, 7, 0, 9, 7, 1], [8, 8, 7, 3, 8, 3, 8, 9, 9, 0, 7, 4], [0, 7, 0, 6, 9, 0, 8, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 8], [6, 7, 1, 5, 1, 4, 1, 0, 0, 8, 0, 1], [2, 2, 3, 6, 0, 0, 7, 0, 9, 8, 7, 4], [2, 6, 4, 0, 2, 0, 0, 8, 0, 0, 0, 2], [7, 0, 2, 7, 4, 8, 1, 4, 5, 0, 8, 8]]\nOutput: [[1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1], [1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1]]\n\nExample 2\nInput: [[0, 0, 2, 0, 2, 9, 1, 9, 9, 8], [6, 7, 0, 3, 0, 0, 7, 1, 8, 1], [6, 0, 8, 6, 0, 5, 6, 0, 0, 0], [4, 5, 0, 0, 7, 8, 0, 2, 5, 0], [7, 0, 9, 1, 6, 6, 0, 8, 1, 0], [0, 0, 3, 6, 3, 7, 8, 7, 3, 1], [6, 8, 5, 8, 0, 0, 0, 8, 9, 1]]\nOutput: [[0, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0], [1, 0, 1, 1, 1, 1, 0, 1, 1, 0], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 1, 1, 1]]\n\nExample 3\nInput: [[4, 0, 0, 3, 0, 0, 5, 1, 4, 3, 8], [9, 5, 6, 7, 5, 0, 8, 0, 4, 0, 1], [3, 1, 8, 0, 7, 9, 1, 4, 0, 0, 7], [0, 9, 0, 1, 5, 0, 0, 5, 9, 6, 0], [3, 3, 3, 8, 6, 4, 0, 9, 4, 3, 4], [8, 1, 5, 9, 4, 5, 0, 0, 0, 8, 1], [6, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0]]\nOutput: [[1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]]\n\nExample 4\nInput: [[5, 9, 0, 1, 6, 9, 0, 7, 0], [8, 4, 7, 5, 6, 9, 8, 7, 3], [2, 3, 0, 0, 8, 1, 2, 9, 0], [0, 1, 0, 4, 0, 8, 4, 1, 7], [0, 8, 6, 5, 7, 0, 9, 4, 7], [0, 4, 5, 5, 0, 0, 9, 0, 6], [0, 7, 6, 0, 7, 6, 8, 1, 5], [8, 9, 5, 6, 3, 2, 5, 0, 6], [8, 5, 3, 0, 0, 9, 9, 1, 1]]\nOutput: [[1, 1, 0, 1, 1, 1, 0, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 0, 1, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1]]\n\nExample 5\nInput: [[5, 3, 8, 6, 0, 0, 3, 0, 5], [0, 5, 8, 0, 8, 0, 0, 8, 4], [1, 3, 5, 0, 9, 0, 0, 0, 2], [1, 0, 4, 1, 1, 3, 0, 0, 4], [6, 0, 9, 7, 6, 1, 6, 8, 0], [6, 0, 8, 0, 0, 7, 8, 5, 2], [3, 3, 0, 0, 3, 8, 0, 0, 0], [0, 0, 4, 0, 1, 9, 3, 6, 0], [9, 2, 6, 2, 2, 4, 5, 5, 0], [4, 7, 4, 3, 0, 5, 1, 5, 7], [8, 0, 7, 2, 0, 3, 1, 2, 1], [7, 4, 3, 6, 4, 7, 8, 2, 5]]\nOutput: [[1, 1, 1, 1, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 1, 0, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0], [1, 0, 1, 0, 0, 1, 1, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0], [0, 0, 1, 0, 1, 1, 1, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1]]\n\nExample 6\nInput: [[4, 0, 5, 2, 5, 9, 6, 2, 8, 9], [3, 7, 2, 5, 8, 6, 7, 1, 0, 0], [9, 2, 4, 6, 7, 1, 0, 9, 0, 0], [2, 7, 6, 6, 9, 4, 4, 0, 0, 0], [8, 0, 0, 9, 0, 0, 3, 4, 0, 1], [4, 0, 6, 0, 8, 4, 0, 8, 0, 3], [0, 3, 4, 1, 0, 3, 2, 7, 6, 1], [0, 0, 4, 5, 1, 0, 0, 9, 0, 0], [1, 0, 0, 7, 3, 9, 2, 6, 5, 4], [8, 0, 0, 5, 5, 0, 0, 2, 0, 6], [6, 0, 0, 5, 7, 3, 2, 5, 4, 3], [0, 2, 0, 6, 1, 0, 3, 7, 8, 2], [5, 3, 0, 6, 0, 0, 6, 8, 5, 6], [4, 4, 0, 8, 0, 0, 7, 0, 3, 9]]\nOutput: [[1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [1, 0, 0, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 0, 1, 1, 0, 1, 0, 1], [0, 1, 1, 1, 0, 1, 1, 1, 1, 1], [0, 0, 1, 1, 1, 0, 0, 1, 0, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 0, 1, 1]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 1, 3, 0, 0, 0, 2, 0, 0, 1, 0], [0, 5, 0, 0, 2, 5, 7, 2, 0, 5, 0], [1, 2, 0, 0, 0, 0, 5, 0, 6, 0, 7], [0, 0, 0, 9, 0, 8, 8, 3, 8, 0, 0], [5, 8, 0, 2, 8, 2, 4, 0, 0, 0, 7], [8, 7, 6, 2, 9, 5, 3, 8, 8, 5, 9]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0], [1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[7, 6, 4, 6, 9, 8, 5, 6, 7, 9, 3, 3], [7, 7, 9, 7, 5, 7, 1, 6, 5, 8, 7, 4], [8, 2, 7, 7, 3, 7, 1, 8, 3, 3, 3, 8], [4, 5, 9, 8, 9, 7, 4, 4, 3, 7, 8, 5], [6, 6, 8, 5, 9, 1, 8, 8, 4, 4, 5, 4], [6, 1, 3, 8, 9, 8, 1, 4, 2, 5, 6, 7], [2, 9, 2, 9, 2, 8, 8, 7, 6, 2, 7, 9], [1, 9, 5, 6, 1, 1, 4, 8, 1, 1, 7, 8]]\nOutput: [[6, 7, 6, 4, 6, 9, 8, 5, 6, 7, 9, 3], [7, 6, 4, 6, 9, 8, 5, 6, 7, 9, 3, 3], [7, 7, 9, 7, 5, 7, 1, 6, 5, 8, 7, 4], [8, 2, 7, 7, 3, 7, 1, 8, 3, 3, 3, 8], [4, 5, 9, 8, 9, 7, 4, 4, 3, 7, 8, 5], [6, 6, 8, 5, 9, 1, 8, 8, 4, 4, 5, 4], [6, 1, 3, 8, 9, 8, 1, 4, 2, 5, 6, 7], [2, 9, 2, 9, 2, 8, 8, 7, 6, 2, 7, 9]]\n\nExample 2\nInput: [[7, 4, 1, 2, 3, 6, 1, 5, 2, 7], [9, 1, 8, 9, 5, 9, 9, 8, 8, 9], [6, 7, 1, 7, 9, 6, 3, 3, 4, 4], [7, 4, 1, 8, 8, 6, 7, 1, 3, 2], [6, 1, 8, 2, 8, 5, 6, 5, 4, 8], [6, 7, 2, 6, 7, 4, 9, 5, 5, 7], [6, 7, 7, 9, 9, 8, 8, 8, 2, 4]]\nOutput: [[4, 7, 4, 1, 2, 3, 6, 1, 5, 2], [7, 4, 1, 2, 3, 6, 1, 5, 2, 7], [9, 1, 8, 9, 5, 9, 9, 8, 8, 9], [6, 7, 1, 7, 9, 6, 3, 3, 4, 4], [7, 4, 1, 8, 8, 6, 7, 1, 3, 2], [6, 1, 8, 2, 8, 5, 6, 5, 4, 8], [6, 7, 2, 6, 7, 4, 9, 5, 5, 7]]\n\nExample 3\nInput: [[5, 9, 4, 4, 2, 3, 1, 7, 8, 6, 7], [5, 6, 1, 8, 4, 7, 3, 8, 1, 1, 9], [3, 7, 5, 2, 4, 6, 8, 7, 5, 6, 8], [9, 4, 9, 6, 1, 5, 3, 5, 1, 1, 8], [7, 8, 2, 9, 3, 1, 3, 4, 3, 1, 4], [4, 1, 7, 4, 9, 9, 6, 8, 1, 7, 3], [5, 1, 3, 1, 5, 6, 9, 4, 6, 6, 8]]\nOutput: [[9, 5, 9, 4, 4, 2, 3, 1, 7, 8, 6], [5, 9, 4, 4, 2, 3, 1, 7, 8, 6, 7], [5, 6, 1, 8, 4, 7, 3, 8, 1, 1, 9], [3, 7, 5, 2, 4, 6, 8, 7, 5, 6, 8], [9, 4, 9, 6, 1, 5, 3, 5, 1, 1, 8], [7, 8, 2, 9, 3, 1, 3, 4, 3, 1, 4], [4, 1, 7, 4, 9, 9, 6, 8, 1, 7, 3]]\n\nExample 4\nInput: [[6, 5, 3, 6, 9, 5, 9, 1, 6], [5, 6, 5, 6, 9, 9, 7, 6, 6], [6, 8, 9, 4, 1, 7, 7, 6, 5], [1, 2, 6, 9, 2, 8, 7, 1, 7], [4, 8, 3, 5, 7, 2, 6, 3, 3], [9, 7, 8, 8, 4, 1, 3, 2, 8], [8, 9, 7, 9, 4, 1, 6, 1, 4], [5, 5, 2, 8, 1, 2, 4, 7, 1], [5, 8, 7, 3, 8, 3, 6, 2, 4]]\nOutput: [[5, 6, 5, 3, 6, 9, 5, 9, 1], [6, 5, 3, 6, 9, 5, 9, 1, 6], [5, 6, 5, 6, 9, 9, 7, 6, 6], [6, 8, 9, 4, 1, 7, 7, 6, 5], [1, 2, 6, 9, 2, 8, 7, 1, 7], [4, 8, 3, 5, 7, 2, 6, 3, 3], [9, 7, 8, 8, 4, 1, 3, 2, 8], [8, 9, 7, 9, 4, 1, 6, 1, 4], [5, 5, 2, 8, 1, 2, 4, 7, 1]]\n\nExample 5\nInput: [[4, 5, 8, 1, 3, 8, 8, 2, 6], [2, 5, 7, 6, 3, 6, 6, 5, 3], [6, 5, 8, 3, 8, 5, 7, 8, 8], [8, 1, 4, 1, 6, 3, 5, 5, 6], [9, 4, 4, 5, 2, 6, 5, 1, 4], [3, 4, 1, 1, 1, 3, 1, 2, 3], [5, 3, 9, 6, 4, 6, 6, 2, 9], [5, 7, 6, 9, 1, 7, 6, 2, 8], [2, 7, 9, 6, 9, 1, 8, 8, 2], [2, 4, 7, 1, 6, 8, 1, 8, 5], [5, 2, 2, 3, 2, 5, 3, 4, 9], [3, 6, 8, 6, 9, 1, 5, 5, 4]]\nOutput: [[5, 4, 5, 8, 1, 3, 8, 8, 2], [4, 5, 8, 1, 3, 8, 8, 2, 6], [2, 5, 7, 6, 3, 6, 6, 5, 3], [6, 5, 8, 3, 8, 5, 7, 8, 8], [8, 1, 4, 1, 6, 3, 5, 5, 6], [9, 4, 4, 5, 2, 6, 5, 1, 4], [3, 4, 1, 1, 1, 3, 1, 2, 3], [5, 3, 9, 6, 4, 6, 6, 2, 9], [5, 7, 6, 9, 1, 7, 6, 2, 8], [2, 7, 9, 6, 9, 1, 8, 8, 2], [2, 4, 7, 1, 6, 8, 1, 8, 5], [5, 2, 2, 3, 2, 5, 3, 4, 9]]\n\nExample 6\nInput: [[1, 4, 2, 4, 5, 5, 1, 3, 2, 5], [6, 9, 9, 6, 2, 8, 3, 9, 3, 4], [7, 8, 8, 2, 5, 3, 9, 8, 6, 4], [1, 7, 2, 1, 4, 7, 9, 9, 8, 1], [2, 8, 4, 5, 6, 7, 2, 1, 6, 3], [9, 7, 1, 7, 2, 3, 7, 6, 7, 6], [6, 6, 6, 9, 4, 9, 4, 2, 4, 1], [9, 9, 3, 5, 8, 1, 7, 7, 4, 9], [9, 7, 1, 3, 1, 4, 3, 1, 5, 4], [2, 9, 2, 6, 7, 7, 8, 2, 4, 3], [9, 8, 9, 7, 3, 9, 3, 1, 4, 3], [1, 2, 7, 3, 2, 3, 3, 7, 8, 6], [6, 1, 6, 3, 3, 4, 5, 3, 7, 1], [1, 1, 8, 6, 9, 7, 4, 6, 1, 8]]\nOutput: [[4, 1, 4, 2, 4, 5, 5, 1, 3, 2], [1, 4, 2, 4, 5, 5, 1, 3, 2, 5], [6, 9, 9, 6, 2, 8, 3, 9, 3, 4], [7, 8, 8, 2, 5, 3, 9, 8, 6, 4], [1, 7, 2, 1, 4, 7, 9, 9, 8, 1], [2, 8, 4, 5, 6, 7, 2, 1, 6, 3], [9, 7, 1, 7, 2, 3, 7, 6, 7, 6], [6, 6, 6, 9, 4, 9, 4, 2, 4, 1], [9, 9, 3, 5, 8, 1, 7, 7, 4, 9], [9, 7, 1, 3, 1, 4, 3, 1, 5, 4], [2, 9, 2, 6, 7, 7, 8, 2, 4, 3], [9, 8, 9, 7, 3, 9, 3, 1, 4, 3], [1, 2, 7, 3, 2, 3, 3, 7, 8, 6], [6, 1, 6, 3, 3, 4, 5, 3, 7, 1]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[9, 3, 1, 1, 3, 8, 4, 5, 4, 6, 4], [2, 7, 3, 5, 1, 2, 6, 3, 1, 5, 1], [7, 9, 2, 2, 5, 5, 7, 8, 3, 2, 3], [3, 5, 1, 7, 2, 3, 9, 7, 4, 6, 5], [2, 5, 6, 9, 4, 7, 3, 5, 9, 6, 8], [2, 8, 1, 3, 8, 8, 5, 4, 6, 2, 5]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[3, 9, 3, 1, 1, 3, 8, 4, 5, 4, 6], [9, 3, 1, 1, 3, 8, 4, 5, 4, 6, 4], [2, 7, 3, 5, 1, 2, 6, 3, 1, 5, 1], [7, 9, 2, 2, 5, 5, 7, 8, 3, 2, 3], [3, 5, 1, 7, 2, 3, 9, 7, 4, 6, 5], [2, 5, 6, 9, 4, 7, 3, 5, 9, 6, 8]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 4, 9, 0, 9, 9, 0], [8, 8, 4, 9, 0, 9, 9, 0], [8, 8, 2, 9, 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]]\nOutput: [[2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [9, 9, 6, 5, 2, 5, 5, 2], [9, 9, 6, 5, 2, 5, 5, 2], [9, 9, 3, 5, 2, 2, 2, 2], [2, 2, 3, 3, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0], [7, 7, 3, 0, 0, 0, 0], [7, 9, 9, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[2, 2, 2, 2, 2, 2, 2], [1, 1, 2, 2, 2, 2, 2], [0, 0, 2, 2, 2, 2, 2], [0, 0, 1, 2, 2, 2, 2], [0, 5, 5, 2, 2, 2, 2], [1, 1, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]\n\nExample 3\nInput: [[0, 0, 5, 8, 8, 0, 0], [0, 6, 6, 8, 8, 0, 0], [0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 5, 0, 0, 0], [0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[2, 2, 7, 9, 9, 2, 2], [2, 8, 8, 9, 9, 2, 2], [2, 8, 8, 2, 2, 2, 2], [2, 8, 8, 7, 2, 2, 2], [2, 3, 3, 3, 2, 2, 2], [2, 3, 3, 3, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2]]\n\nExample 4\nInput: [[9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 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, 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]]\nOutput: [[5, 5, 5, 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, 3, 2, 2, 2, 2, 2, 2], [3, 3, 3, 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]]\n\nExample 5\nInput: [[0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0, 0, 0], [0, 0, 0, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 3, 3, 1, 1, 9, 0], [0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[2, 2, 2, 7, 2, 2, 2, 2], [2, 2, 2, 6, 6, 2, 2, 2], [2, 2, 2, 6, 6, 2, 2, 2], [2, 2, 2, 2, 2, 5, 5, 2], [2, 2, 2, 2, 2, 5, 5, 2], [2, 2, 1, 1, 4, 4, 5, 2], [2, 2, 2, 2, 4, 4, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2]]\n\nExample 6\nInput: [[2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0], [6, 7, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[3, 2, 2, 2, 2, 2], [3, 2, 2, 2, 2, 2], [2, 2, 9, 9, 2, 2], [8, 0, 9, 9, 2, 2], [2, 2, 9, 9, 2, 2], [2, 2, 2, 2, 2, 2]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[6, 6, 6, 0, 0, 0], [0, 0, 1, 1, 1, 0], [2, 2, 2, 1, 0, 0], [2, 2, 2, 1, 0, 0], [2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
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[[8, 8, 8, 2, 2, 2], [2, 2, 4, 4, 4, 2], [3, 3, 3, 4, 2, 2], [3, 3, 3, 4, 2, 2], [3, 3, 3, 2, 2, 2], [2, 2, 2, 2, 2, 2]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[4, 1, 1, 1, 4], [1, 2, 2, 2, 1], [2, 2, 3, 2, 2], [2, 3, 2, 3, 2]]\nOutput: [[1, 4, 4, 4, 1], [4, 5, 5, 5, 4], [5, 5, 3, 5, 5], [5, 3, 5, 3, 5]]\n\nExample 2\nInput: [[2, 2, 2, 2], [1, 3, 3, 1], [5, 4, 4, 5], [3, 4, 4, 3], [4, 3, 3, 4]]\nOutput: [[5, 5, 5, 5], [4, 3, 3, 4], [2, 1, 1, 2], [3, 1, 1, 3], [1, 3, 3, 1]]\n\nExample 3\nInput: [[3, 3, 5, 1, 3], [2, 3, 3, 5, 3], [2, 1, 3, 3, 3], [1, 3, 3, 1, 5], [1, 3, 5, 4, 4]]\nOutput: [[3, 3, 2, 4, 3], [5, 3, 3, 2, 3], [5, 4, 3, 3, 3], [4, 3, 3, 4, 2], [4, 3, 2, 1, 1]]\n\nExample 4\nInput: [[2, 2, 2], [2, 3, 2], [2, 2, 2]]\nOutput: [[5, 5, 5], [5, 3, 5], [5, 5, 5]]\n\nExample 5\nInput: [[4, 4, 3], [4, 4, 4], [3, 4, 4], [3, 5, 3], [3, 5, 3]]\nOutput: [[1, 1, 3], [1, 1, 1], [3, 1, 1], [3, 2, 3], [3, 2, 3]]\n\nExample 6\nInput: [[3, 2, 2, 3], [3, 4, 4, 3], [5, 5, 5, 5], [3, 4, 4, 3], [3, 2, 2, 3]]\nOutput: [[3, 5, 5, 3], [3, 1, 1, 3], [2, 2, 2, 2], [3, 1, 1, 3], [3, 5, 5, 3]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[1, 2, 3, 3, 3], [1, 2, 1, 3, 3], [1, 3, 1, 1, 2], [1, 1, 1, 3, 3]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[4, 5, 3, 3, 3], [4, 5, 4, 3, 3], [4, 3, 4, 4, 5], [4, 4, 4, 3, 3]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 3, 3, 1], [0, 8, 4, 6], [1, 8, 9, 0], [9, 0, 2, 0]]\nOutput: [[0, 3, 3, 4], [0, 8, 4, 6], [4, 8, 9, 0], [9, 0, 3, 0]]\n\nExample 2\nInput: [[3, 9, 7, 0], [8, 0, 0, 0], [5, 2, 8, 5], [4, 0, 9, 6]]\nOutput: [[3, 9, 7, 0], [8, 0, 0, 0], [5, 3, 8, 5], [4, 0, 9, 6]]\n\nExample 3\nInput: [[0, 8, 6, 2], [6, 1, 3, 4], [9, 0, 3, 0], [2, 8, 9, 0]]\nOutput: [[0, 8, 6, 3], [6, 4, 3, 4], [9, 0, 3, 0], [3, 8, 9, 0]]\n\nExample 4\nInput: [[4, 4, 0, 4], [0, 7, 0, 6], [0, 7, 4, 2], [5, 0, 0, 7]]\nOutput: [[4, 4, 0, 4], [0, 7, 0, 6], [0, 7, 4, 3], [5, 0, 0, 7]]\n\nExample 5\nInput: [[0, 0, 0, 1], [3, 1, 0, 3], [0, 4, 6, 6], [6, 0, 4, 6]]\nOutput: [[0, 0, 0, 4], [3, 4, 0, 3], [0, 4, 6, 6], [6, 0, 4, 6]]\n\nExample 6\nInput: [[4, 0, 0, 0], [5, 1, 0, 3], [1, 0, 0, 3], [7, 9, 6, 1]]\nOutput: [[4, 0, 0, 0], [5, 4, 0, 3], [4, 0, 0, 3], [7, 9, 6, 4]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 1, 5, 0], [0, 0, 3, 8], [1, 0, 3, 0], [2, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 4, 5, 0], [0, 0, 3, 8], [4, 0, 3, 0], [3, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[4, 2, 0, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0], [4, 2, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 3, 0, 0, 4, 2, 4], [0, 0, 0, 3, 0, 0, 0, 4, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0]]\nOutput: [[4, 1, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0], [4, 1, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 3, 0, 0, 4, 1, 4], [0, 0, 0, 3, 0, 0, 0, 4, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 2, 2, 0, 0], [2, 2, 0, 0, 0, 4, 1, 0, 0], [2, 2, 0, 0, 0, 2, 2, 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, 4, 4], [0, 0, 0, 0, 0, 0, 2, 1, 0], [0, 0, 3, 2, 0, 0, 2, 1, 0], [0, 0, 3, 2, 0, 0, 0, 4, 4]]\nOutput: [[0, 0, 0, 0, 0, 1, 1, 0, 0], [1, 1, 0, 0, 0, 4, 1, 0, 0], [1, 1, 0, 0, 0, 1, 1, 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, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 3, 1, 0, 0, 1, 1, 0], [0, 0, 3, 1, 0, 0, 0, 4, 4]]\n\nExample 3\nInput: [[0, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 1, 1, 1, 1], [0, 2, 4, 2, 0, 1, 1, 1, 1], [0, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 1, 1, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 0], [1, 1, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 1, 1, 1, 1], [0, 1, 4, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[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, 4, 4, 0, 2, 4], [2, 2, 0, 0, 1, 1, 0, 0, 3, 4], [2, 2, 0, 0, 0, 0, 0, 0, 2, 4]]\nOutput: [[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, 4, 4, 0, 1, 4], [1, 1, 0, 0, 1, 1, 0, 0, 3, 4], [1, 1, 0, 0, 0, 0, 0, 0, 1, 4]]\n\nExample 5\nInput: [[0, 0, 0, 0, 2, 2, 2, 2], [0, 4, 4, 0, 2, 2, 2, 2], [0, 2, 2, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 2, 3, 0, 0], [4, 4, 0, 0, 3, 0, 0, 0], [1, 2, 2, 0, 0, 0, 3, 2], [1, 2, 2, 0, 0, 0, 3, 3], [4, 4, 0, 0, 0, 0, 3, 2]]\nOutput: [[0, 0, 0, 0, 1, 1, 1, 1], [0, 4, 4, 0, 1, 1, 1, 1], [0, 1, 1, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 1, 3, 0, 0], [4, 4, 0, 0, 3, 0, 0, 0], [1, 1, 1, 0, 0, 0, 3, 1], [1, 1, 1, 0, 0, 0, 3, 3], [4, 4, 0, 0, 0, 0, 3, 1]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 0, 0], [3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3], [0, 0, 4, 2, 2, 4], [0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 0, 0], [3, 2, 2, 3, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0], [3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3], [0, 0, 4, 1, 1, 4], [0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 0, 0], [3, 1, 1, 3, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 3, 3, 3, 0, 0, 3, 3, 3, 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, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 2, 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]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 3, 3, 3, 0, 0, 3, 3, 3, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 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, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[6, 5, 3, 6, 9, 5, 9], [1, 6, 5, 6, 5, 6, 9], [9, 7, 6, 6, 6, 8, 9], [4, 1, 7, 7, 6, 5, 1], [2, 6, 9, 2, 8, 7, 1], [7, 4, 8, 3, 5, 7, 2], [6, 3, 3, 9, 7, 8, 8]]\nOutput: [[6, 7, 2, 4, 9, 1, 6], [3, 4, 6, 1, 7, 6, 5], [3, 8, 9, 7, 6, 5, 3], [9, 3, 2, 7, 6, 6, 6], [7, 5, 8, 6, 6, 5, 9], [8, 7, 7, 5, 8, 6, 5], [8, 2, 1, 1, 9, 9, 9]]\n\nExample 2\nInput: [[8, 5, 4], [6, 8, 6], [9, 1, 4]]\nOutput: [[9, 6, 8], [1, 8, 5], [4, 6, 4]]\n\nExample 3\nInput: [[8, 1, 2, 9], [2, 3, 9, 3], [3, 5, 3, 6], [2, 2, 9, 4]]\nOutput: [[2, 3, 2, 8], [2, 5, 3, 1], [9, 3, 9, 2], [4, 6, 3, 9]]\n\nExample 4\nInput: [[4, 5, 4, 8], [3, 7, 8, 6], [4, 4, 6, 5], [9, 3, 6, 7]]\nOutput: [[9, 4, 3, 4], [3, 4, 7, 5], [6, 6, 8, 4], [7, 5, 6, 8]]\n\nExample 5\nInput: [[4, 4, 6, 7, 7, 1, 2, 6], [6, 4, 9, 9, 7, 2, 7, 8], [2, 3, 6, 2, 6, 5, 9, 9], [9, 8, 9, 3, 6, 6, 9, 4], [6, 3, 7, 8, 7, 3, 9, 3], [1, 7, 3, 2, 6, 8, 3, 8], [6, 7, 6, 1, 6, 2, 2, 7], [7, 6, 2, 7, 9, 9, 1, 8]]\nOutput: [[7, 6, 1, 6, 9, 2, 6, 4], [6, 7, 7, 3, 8, 3, 4, 4], [2, 6, 3, 7, 9, 6, 9, 6], [7, 1, 2, 8, 3, 2, 9, 7], [9, 6, 6, 7, 6, 6, 7, 7], [9, 2, 8, 3, 6, 5, 2, 1], [1, 2, 3, 9, 9, 9, 7, 2], [8, 7, 8, 3, 4, 9, 8, 6]]\n\nExample 6\nInput: [[7, 5, 7, 6, 6], [9, 6, 9, 5, 5], [9, 9, 6, 4, 5], [5, 5, 7, 3, 4], [2, 9, 7, 5, 4]]\nOutput: [[2, 5, 9, 9, 7], [9, 5, 9, 6, 5], [7, 7, 6, 9, 7], [5, 3, 4, 5, 6], [4, 4, 5, 5, 6]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[5, 6, 6, 2, 5], [8, 3, 9, 3, 6], [1, 7, 2, 5, 3], [5, 1, 2, 1, 1], [8, 7, 2, 6, 1]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
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[[8, 5, 1, 8, 5], [7, 1, 7, 3, 6], [2, 2, 2, 9, 6], [6, 1, 5, 3, 2], [1, 1, 3, 6, 5]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [1, 1, 1, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 1, 1, 2, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 1, 1, 2, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2], [0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2], [1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1], [2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0]]\nOutput: [[1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2], [0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2], [1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1], [3, 3, 3, 0, 2, 0, 0, 0, 0, 2, 0]]\n\nExample 3\nInput: [[0, 0, 2, 0, 0, 1], [3, 0, 0, 0, 0, 0], [1, 0, 2, 0, 0, 3], [0, 0, 2, 1, 3, 0], [3, 0, 0, 0, 2, 0], [0, 1, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0], [1, 1, 1, 1, 0, 1], [0, 1, 0, 0, 0, 3]]\nOutput: [[0, 0, 2, 0, 0, 1], [3, 0, 0, 0, 0, 0], [1, 0, 2, 0, 0, 3], [0, 0, 2, 1, 3, 0], [3, 0, 0, 0, 2, 0], [0, 1, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0], [3, 3, 3, 3, 0, 1], [0, 1, 0, 0, 0, 3]]\n\nExample 4\nInput: [[0, 0, 2, 1, 2, 0], [0, 1, 2, 2, 2, 0], [0, 2, 0, 0, 1, 0], [0, 0, 0, 1, 0, 2], [0, 0, 0, 0, 0, 1], [1, 2, 0, 1, 0, 0], [2, 0, 1, 0, 1, 0], [1, 1, 1, 1, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1], [0, 0, 2, 0, 0, 0], [0, 1, 0, 0, 0, 0]]\nOutput: [[0, 0, 2, 1, 2, 0], [0, 1, 3, 3, 3, 0], [0, 2, 0, 0, 1, 0], [0, 0, 0, 1, 0, 2], [0, 0, 0, 0, 0, 1], [1, 2, 0, 1, 0, 0], [2, 0, 1, 0, 1, 0], [3, 3, 3, 3, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1], [0, 0, 2, 0, 0, 0], [0, 1, 0, 0, 0, 0]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 1, 3, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 3, 0, 0, 2, 0, 0, 1, 0, 0], [2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 1, 3, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 3, 0, 0, 2, 0, 0, 1, 0, 0], [3, 3, 3, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[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, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
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[[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, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 8, 0, 0, 5, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 8, 0, 0, 0, 7, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 5, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 5, 0, 0], [7, 0, 7, 5, 0, 8, 8, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 8]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 5, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 5, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 5, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 5, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 5, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 8, 0, 7, 8, 0], [0, 0, 0, 0, 0, 0, 7, 0, 7, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 5, 0, 0, 0, 8, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [8, 0, 0, 5, 0, 0, 0, 5, 8, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 5, 7, 8], [0, 0, 0, 0, 0, 0, 0, 5, 7, 8], [0, 0, 0, 0, 0, 0, 0, 0, 7, 8], [0, 0, 0, 0, 0, 0, 0, 0, 5, 8], [0, 0, 0, 0, 0, 0, 0, 0, 5, 8], [0, 0, 0, 0, 0, 0, 0, 0, 5, 7], [0, 0, 0, 0, 0, 0, 0, 0, 5, 7]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 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, 6, 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, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [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, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 9, 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, 4, 0, 0, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 9, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 6, 0, 6, 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, 7, 0, 0, 6, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 7, 0], [0, 0, 0, 0, 3, 0, 6, 7, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 3, 6], [0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 6], [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, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 2]]\n\nExample 6\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, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[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, 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, 0, 0, 4], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [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, 0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 5, 1, 6, 9, 0, 0, 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]]\nOutput: [[0, 0, 0, 0, 5, 1, 6, 9, 0, 0, 7, 0], [0, 0, 0, 0, 5, 1, 6, 9, 0, 0, 7, 0], [0, 0, 0, 0, 5, 1, 6, 9, 0, 0, 7, 0], [0, 0, 0, 0, 5, 1, 6, 9, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 1, 6, 9, 0, 0, 7, 0], [0, 0, 0, 0, 5, 1, 6, 9, 0, 0, 7, 0], [0, 0, 0, 0, 5, 1, 6, 9, 0, 0, 7, 0]]\n\nExample 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, 8, 0, 0, 7, 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, 0, 0, 0]]\nOutput: [[0, 8, 0, 0, 7, 0, 5, 0, 0, 0], [0, 8, 0, 0, 7, 0, 5, 0, 0, 0], [0, 8, 0, 0, 7, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 7, 0, 5, 0, 0, 0], [0, 8, 0, 0, 7, 0, 5, 0, 0, 0], [0, 8, 0, 0, 7, 0, 5, 0, 0, 0]]\n\nExample 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], [1, 0, 6, 0, 0, 2, 7, 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, 0, 0, 0, 0, 0, 0]]\nOutput: [[1, 0, 6, 0, 0, 2, 7, 5, 0, 0, 0], [1, 0, 6, 0, 0, 2, 7, 5, 0, 0, 0], [1, 0, 6, 0, 0, 2, 7, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 6, 0, 0, 2, 7, 5, 0, 0, 0], [1, 0, 6, 0, 0, 2, 7, 5, 0, 0, 0], [1, 0, 6, 0, 0, 2, 7, 5, 0, 0, 0]]\n\nExample 4\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], [9, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[9, 0, 0, 0, 0, 0, 0, 0, 4], [9, 0, 0, 0, 0, 0, 0, 0, 4], [9, 0, 0, 0, 0, 0, 0, 0, 4], [9, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 4], [9, 0, 0, 0, 0, 0, 0, 0, 4], [9, 0, 0, 0, 0, 0, 0, 0, 4], [9, 0, 0, 0, 0, 0, 0, 0, 4]]\n\nExample 5\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, 7, 0, 0, 2, 6, 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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 7, 0, 0, 2, 6, 3, 0, 0], [0, 7, 0, 0, 2, 6, 3, 0, 0], [0, 7, 0, 0, 2, 6, 3, 0, 0], [0, 7, 0, 0, 2, 6, 3, 0, 0], [0, 7, 0, 0, 2, 6, 3, 0, 0], [0, 7, 0, 0, 2, 6, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 2, 6, 3, 0, 0], [0, 7, 0, 0, 2, 6, 3, 0, 0], [0, 7, 0, 0, 2, 6, 3, 0, 0], [0, 7, 0, 0, 2, 6, 3, 0, 0], [0, 7, 0, 0, 2, 6, 3, 0, 0]]\n\nExample 6\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, 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]]\nOutput: [[0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 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, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 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], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[3, 3, 1, 2, 4, 1, 0, 0, 0, 0, 0, 0], [2, 2, 1, 3, 1, 4, 0, 0, 0, 0, 0, 0], [4, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0], [4, 1, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0], [1, 4, 2, 4, 4, 3, 0, 0, 0, 0, 0, 0], [1, 2, 2, 1, 2, 3, 0, 0, 0, 0, 0, 0]]\nOutput: [[3, 3, 1, 2, 4, 1, 2, 3, 1, 2, 4, 4], [2, 2, 1, 3, 1, 4, 3, 2, 4, 2, 1, 1], [4, 1, 3, 3, 3, 3, 4, 4, 4, 4, 2, 3], [4, 1, 4, 4, 3, 1, 2, 4, 3, 3, 2, 3], [1, 4, 2, 4, 4, 3, 4, 3, 3, 1, 3, 2], [1, 2, 2, 1, 2, 3, 4, 1, 2, 1, 1, 2]]\n\nExample 2\nInput: [[3, 3, 1, 2, 4, 1, 0, 0, 0, 0, 0, 0], [4, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0], [3, 3, 4, 4, 4, 1, 0, 0, 0, 0, 0, 0], [3, 1, 4, 2, 4, 4, 0, 0, 0, 0, 0, 0], [3, 4, 2, 4, 1, 2, 0, 0, 0, 0, 0, 0]]\nOutput: [[3, 3, 1, 2, 4, 1, 2, 3, 1, 2, 4, 4], [4, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 3], [3, 3, 4, 4, 4, 1, 2, 3, 3, 3, 4, 4], [3, 1, 4, 2, 4, 4, 3, 3, 1, 3, 2, 4], [3, 4, 2, 4, 1, 2, 1, 2, 3, 1, 3, 4]]\n\nExample 3\nInput: [[1, 2, 2, 2, 3, 0, 0, 0, 0, 0], [1, 3, 3, 2, 1, 0, 0, 0, 0, 0], [1, 1, 2, 4, 1, 0, 0, 0, 0, 0], [2, 2, 3, 4, 3, 0, 0, 0, 0, 0], [4, 1, 1, 1, 2, 0, 0, 0, 0, 0]]\nOutput: [[1, 2, 2, 2, 3, 4, 1, 1, 1, 2], [1, 3, 3, 2, 1, 2, 1, 4, 4, 2], [1, 1, 2, 4, 1, 2, 3, 1, 2, 2], [2, 2, 3, 4, 3, 4, 3, 4, 1, 1], [4, 1, 1, 1, 2, 1, 2, 2, 2, 3]]\n\nExample 4\nInput: [[2, 3, 2, 4, 4, 0, 0, 0, 0, 0], [2, 2, 2, 4, 4, 0, 0, 0, 0, 0], [3, 2, 1, 3, 4, 0, 0, 0, 0, 0], [2, 3, 4, 2, 2, 0, 0, 0, 0, 0], [3, 4, 2, 3, 3, 0, 0, 0, 0, 0], [2, 3, 4, 4, 3, 0, 0, 0, 0, 0], [3, 1, 4, 4, 4, 0, 0, 0, 0, 0]]\nOutput: [[2, 3, 2, 4, 4, 3, 3, 1, 4, 1], [2, 2, 2, 4, 4, 3, 3, 1, 1, 1], [3, 2, 1, 3, 4, 3, 4, 2, 1, 4], [2, 3, 4, 2, 2, 1, 1, 3, 4, 1], [3, 4, 2, 3, 3, 4, 4, 1, 3, 4], [2, 3, 4, 4, 3, 4, 3, 3, 4, 1], [3, 1, 4, 4, 4, 3, 3, 3, 2, 4]]\n\nExample 5\nInput: [[1, 1, 2, 2, 3, 0, 0, 0, 0, 0], [3, 1, 3, 3, 2, 0, 0, 0, 0, 0], [3, 2, 2, 1, 1, 0, 0, 0, 0, 0], [2, 3, 1, 4, 3, 0, 0, 0, 0, 0], [1, 1, 3, 2, 3, 0, 0, 0, 0, 0], [1, 4, 3, 4, 1, 0, 0, 0, 0, 0]]\nOutput: [[1, 1, 2, 2, 3, 4, 1, 1, 2, 2], [3, 1, 3, 3, 2, 1, 4, 4, 2, 4], [3, 2, 2, 1, 1, 2, 2, 1, 1, 4], [2, 3, 1, 4, 3, 4, 3, 2, 4, 1], [1, 1, 3, 2, 3, 4, 1, 4, 2, 2], [1, 4, 3, 4, 1, 2, 3, 4, 3, 2]]\n\nExample 6\nInput: [[4, 1, 4, 3, 1, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0], [4, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0], [1, 4, 3, 1, 2, 2, 0, 0, 0, 0, 0, 0]]\nOutput: [[4, 1, 4, 3, 1, 2, 1, 2, 4, 3, 2, 3], [2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1], [4, 2, 2, 4, 4, 4, 3, 3, 3, 1, 1, 3], [1, 4, 3, 1, 2, 2, 1, 1, 2, 4, 3, 2]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[1, 2, 3, 0, 0, 0], [2, 3, 1, 0, 0, 0], [4, 2, 4, 0, 0, 0], [2, 3, 2, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[1, 2, 3, 4, 1, 2], [2, 3, 1, 2, 4, 1], [4, 2, 4, 3, 1, 3], [2, 3, 2, 1, 4, 1]]
|
simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[6, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 7, 0, 0, 7], [1, 0, 4, 0, 0, 0, 7, 0], [0, 8, 0, 0, 0, 0, 7, 4], [0, 7, 0, 6, 0, 0, 8, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0], [8, 7, 0, 7, 0, 0, 5, 0]]\nOutput: [[0, 5, 0, 0, 0, 0, 0, 6], [7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 4, 0, 1], [4, 7, 0, 0, 0, 0, 8, 0], [0, 8, 0, 0, 6, 0, 7, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0], [0, 5, 0, 0, 7, 0, 7, 8]]\n\nExample 2\nInput: [[0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 9, 9, 0, 8], [0, 0, 6, 0, 4, 0, 0], [0, 0, 0, 8, 0, 0, 0], [1, 8, 0, 5, 6, 0, 0], [0, 4, 0, 0, 0, 0, 9], [0, 0, 8, 4, 0, 0, 0]]\nOutput: [[0, 0, 2, 0, 2, 0, 0], [8, 0, 9, 9, 0, 0, 0], [0, 0, 4, 0, 6, 0, 0], [0, 0, 0, 8, 0, 0, 0], [0, 0, 6, 5, 0, 8, 1], [9, 0, 0, 0, 0, 4, 0], [0, 0, 0, 4, 8, 0, 0]]\n\nExample 3\nInput: [[9, 2, 0, 1, 6, 5, 0], [0, 4, 0, 0, 0, 0, 9], [0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 8, 0, 0]]\nOutput: [[0, 5, 6, 1, 0, 2, 9], [9, 0, 0, 0, 0, 4, 0], [0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 7, 0, 8, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0], [3, 0, 3, 0, 0, 8, 0, 0, 0], [0, 9, 0, 0, 1, 0, 4, 0, 0], [1, 0, 0, 0, 0, 7, 0, 0, 0], [0, 2, 0, 0, 0, 9, 0, 7, 0], [4, 5, 0, 0, 0, 0, 0, 0, 0], [0, 2, 6, 0, 0, 0, 6, 8, 1]]\nOutput: [[5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 8, 0, 0, 3, 0, 3], [0, 0, 4, 0, 1, 0, 0, 9, 0], [0, 0, 0, 7, 0, 0, 0, 0, 1], [0, 7, 0, 9, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 5, 4], [1, 8, 6, 0, 0, 0, 6, 2, 0]]\n\nExample 5\nInput: [[4, 8, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 3, 5, 0, 0, 1, 4, 0, 0], [0, 3, 5, 0, 9, 0, 0, 0, 0, 5, 0, 0], [4, 1, 0, 1, 0, 0, 0, 0, 6, 0, 6, 0], [5, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 5, 2, 0, 0, 0], [0, 0, 0, 3, 8, 0, 0, 0, 0, 0, 4, 0], [1, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 2, 4, 0, 5, 0, 4, 0, 0, 4], [0, 8, 0, 0, 0, 5, 7, 8, 0, 7, 0, 0], [8, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 6], [0, 7, 0, 0, 2, 5, 0, 2, 0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 6, 8, 0, 8, 4], [0, 0, 4, 1, 0, 0, 5, 3, 0, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 9, 0, 5, 3, 0], [0, 6, 0, 6, 0, 0, 0, 0, 1, 0, 1, 4], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 5], [0, 0, 0, 2, 5, 0, 0, 7, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 1], [4, 0, 0, 4, 0, 5, 0, 4, 2, 2, 0, 0], [0, 0, 7, 0, 8, 7, 5, 0, 0, 0, 8, 0], [6, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 8], [0, 0, 0, 0, 2, 0, 5, 2, 0, 0, 7, 0]]\n\nExample 6\nInput: [[0, 0, 4, 0, 0, 5, 0, 9, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 5, 7, 0, 0, 1, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 1], [0, 1, 4, 0, 6, 0, 8, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 2, 0, 2, 7, 6, 0, 3, 0, 0, 5], [0, 1, 0, 9, 0, 0, 1, 0, 0, 0, 0, 0, 9, 2], [0, 0, 0, 1, 9, 8, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 2, 0, 4, 0], [0, 3, 0, 0, 1, 6, 0, 0, 3, 7, 8, 0, 0, 2], [8, 7, 0, 0, 0, 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, 3, 0, 0]]\nOutput: [[0, 0, 0, 0, 2, 0, 9, 0, 5, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [9, 0, 1, 0, 0, 7, 5, 0, 0, 9, 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, 0, 8, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 8, 0, 6, 0, 4, 1, 0], [5, 0, 0, 3, 0, 6, 7, 2, 0, 2, 0, 0, 0, 0], [2, 9, 0, 0, 0, 0, 0, 1, 0, 0, 9, 0, 1, 0], [0, 0, 0, 0, 0, 0, 5, 0, 8, 9, 1, 0, 0, 0], [0, 4, 0, 2, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [2, 0, 0, 8, 7, 3, 0, 0, 6, 1, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 7, 8], [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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[9, 0, 0, 3, 0, 0], [0, 2, 0, 0, 0, 0], [0, 0, 5, 0, 0, 2], [5, 7, 0, 3, 0, 1], [2, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 3, 0, 0, 9], [0, 0, 0, 0, 2, 0], [2, 0, 0, 5, 0, 0], [1, 0, 3, 0, 7, 5], [5, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0]]
|
simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 6, 0, 0], [0, 6, 6, 6, 6], [0, 0, 0, 0, 6], [0, 6, 6, 0, 6]]\nOutput: [[0, 0, 6, 0, 0, 0, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0]]\n\nExample 2\nInput: [[0, 0, 7, 7], [7, 0, 7, 7], [0, 7, 7, 7], [0, 7, 0, 7], [7, 0, 7, 0]]\nOutput: [[0, 0, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7], [0, 7, 7, 7, 7, 7, 7, 0], [0, 7, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 7, 0, 7]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0], [0, 5, 5, 0, 5], [0, 0, 0, 0, 5], [0, 0, 0, 5, 5], [0, 0, 5, 0, 5]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 5, 0, 0]]\n\nExample 4\nInput: [[6, 0, 0], [6, 0, 6], [0, 6, 6]]\nOutput: [[6, 0, 0, 0, 0, 6], [6, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 0]]\n\nExample 5\nInput: [[4, 0, 0], [0, 0, 0], [4, 0, 0], [4, 0, 0], [0, 0, 0]]\nOutput: [[4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[6, 0, 0, 0], [0, 6, 0, 0], [0, 6, 6, 6], [0, 0, 0, 0], [0, 6, 0, 0]]\nOutput: [[6, 0, 0, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[9, 0, 0, 9, 0], [0, 0, 0, 0, 0], [9, 0, 9, 0, 0], [0, 9, 9, 9, 9]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[9, 0, 0, 9, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 9, 0, 0, 0, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 9, 9, 9, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 2, 8, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 7, 8], [7, 0, 6, 0, 4, 0, 7, 4], [0, 0, 0, 0, 1, 0, 0, 0], [8, 0, 7, 0, 0, 7, 0, 6], [0, 0, 0, 6, 0, 8, 6, 3], [6, 0, 0, 0, 7, 0, 3, 4], [8, 0, 8, 0, 0, 0, 0, 0]]\nOutput: [[0, 2, 8, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 7, 8], [7, 0, 6, 0, 4, 0, 7, 4], [0, 0, 0, 0, 1, 0, 0, 0], [8, 0, 7, 0, 0, 7, 0, 6], [0, 0, 0, 6, 0, 8, 6, 4], [6, 0, 0, 0, 7, 0, 4, 4], [8, 0, 8, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 6, 0, 0, 0, 7], [7, 0, 0, 6, 6, 0, 0], [0, 3, 3, 0, 0, 0, 0], [4, 0, 0, 2, 4, 0, 7], [8, 0, 0, 1, 0, 0, 0], [8, 0, 0, 2, 0, 4, 2], [7, 0, 0, 2, 1, 0, 0]]\nOutput: [[0, 0, 6, 0, 0, 0, 7], [7, 0, 0, 6, 6, 0, 0], [0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 2, 4, 0, 7], [8, 0, 0, 1, 0, 0, 0], [8, 0, 0, 2, 0, 4, 2], [7, 0, 0, 2, 1, 0, 0]]\n\nExample 3\nInput: [[0, 0, 8, 4, 0, 0, 6, 0, 3], [7, 0, 2, 7, 0, 0, 1, 0, 0], [8, 7, 0, 0, 0, 0, 0, 2, 0], [8, 0, 0, 0, 0, 0, 3, 0, 7], [3, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 8, 3, 1, 6, 7, 2, 4], [0, 0, 3, 0, 7, 0, 0, 7, 0]]\nOutput: [[0, 0, 8, 4, 0, 0, 6, 0, 4], [7, 0, 2, 7, 0, 0, 1, 0, 0], [8, 7, 0, 0, 0, 0, 0, 2, 0], [8, 0, 0, 0, 0, 0, 4, 0, 7], [4, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 8, 4, 1, 6, 7, 2, 4], [0, 0, 4, 0, 7, 0, 0, 7, 0]]\n\nExample 4\nInput: [[0, 1, 1, 1, 6, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 8, 6, 0], [0, 0, 2, 0, 0, 8, 0, 0, 0], [6, 0, 0, 0, 8, 0, 3, 0, 0], [1, 0, 0, 0, 0, 8, 8, 0, 8], [8, 4, 0, 0, 3, 2, 1, 0, 8], [0, 7, 1, 0, 0, 1, 0, 4, 3], [3, 0, 8, 0, 0, 0, 0, 0, 6], [7, 0, 0, 2, 0, 0, 7, 0, 0]]\nOutput: [[0, 1, 1, 1, 6, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 8, 6, 0], [0, 0, 2, 0, 0, 8, 0, 0, 0], [6, 0, 0, 0, 8, 0, 4, 0, 0], [1, 0, 0, 0, 0, 8, 8, 0, 8], [8, 4, 0, 0, 4, 2, 1, 0, 8], [0, 7, 1, 0, 0, 1, 0, 4, 4], [4, 0, 8, 0, 0, 0, 0, 0, 6], [7, 0, 0, 2, 0, 0, 7, 0, 0]]\n\nExample 5\nInput: [[0, 0, 0, 8, 0, 0, 7, 0, 0], [0, 0, 3, 0, 0, 7, 0, 0, 4], [7, 0, 8, 0, 1, 0, 0, 1, 8], [2, 0, 0, 0, 4, 1, 0, 0, 0], [1, 0, 0, 0, 3, 1, 7, 0, 0], [3, 2, 0, 0, 1, 0, 0, 6, 7], [0, 0, 0, 4, 0, 3, 0, 0, 0], [4, 0, 0, 8, 6, 7, 0, 4, 0]]\nOutput: [[0, 0, 0, 8, 0, 0, 7, 0, 0], [0, 0, 4, 0, 0, 7, 0, 0, 4], [7, 0, 8, 0, 1, 0, 0, 1, 8], [2, 0, 0, 0, 4, 1, 0, 0, 0], [1, 0, 0, 0, 4, 1, 7, 0, 0], [4, 2, 0, 0, 1, 0, 0, 6, 7], [0, 0, 0, 4, 0, 4, 0, 0, 0], [4, 0, 0, 8, 6, 7, 0, 4, 0]]\n\nExample 6\nInput: [[0, 6, 8, 0, 3], [0, 0, 2, 8, 0], [0, 0, 0, 1, 8], [0, 0, 1, 0, 3], [3, 3, 0, 0, 6], [0, 0, 0, 2, 0]]\nOutput: [[0, 6, 8, 0, 4], [0, 0, 2, 8, 0], [0, 0, 0, 1, 8], [0, 0, 1, 0, 4], [4, 4, 0, 0, 6], [0, 0, 0, 2, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[1, 0, 0, 0, 0], [0, 0, 0, 1, 3], [2, 4, 0, 0, 2], [0, 0, 6, 0, 4], [0, 0, 1, 0, 8], [0, 7, 8, 8, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[1, 0, 0, 0, 0], [0, 0, 0, 1, 4], [2, 4, 0, 0, 2], [0, 0, 6, 0, 4], [0, 0, 1, 0, 8], [0, 7, 8, 8, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[3, 9, 3, 0, 5, 0, 0, 7, 6, 0, 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]]\nOutput: [[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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[1, 6, 0, 0, 8, 0, 3, 0, 0, 0, 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]]\nOutput: [[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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[6, 0, 6, 9, 0, 0, 5, 5, 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]]\nOutput: [[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], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[3, 5, 7, 0, 6, 6, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 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: [[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], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[3, 1, 4, 9, 2, 3, 1, 1, 3, 5, 0, 7, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 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: [[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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[4, 6, 8, 6, 4, 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, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 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: [[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, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[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]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[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]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 0, 2, 2, 2, 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]]\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, 5, 5, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 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, 8, 8, 8, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 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]]\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], [5, 5, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 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, 2, 2, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 1, 1, 1, 0, 2, 2, 2, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 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]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 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, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 4, 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, 2, 2, 2, 0, 5, 0, 0, 0], [0, 0, 2, 2, 2, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 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, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 5, 5, 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]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [5, 5, 0, 9, 9, 9, 9, 0, 0, 0, 0], [5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 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, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 0, 0], [0, 0, 6, 6, 6, 6, 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]]\nOutput: [[6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\nOutput: [[6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6], [6, 6, 6, 6]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 0], [0, 0, 4, 4, 0, 0], [0, 0, 4, 4, 0, 0], [0, 0, 4, 4, 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], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4], [4, 4, 4, 4]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0], [0, 0, 6, 6, 6, 0, 0], [0, 0, 6, 6, 6, 0, 0], [0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 9, 0, 0], [0, 0, 9, 9, 9, 9, 0, 0], [0, 0, 9, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[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, 9], [9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 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]]\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, 7], [0, 0, 0, 0, 0, 0, 7]]\n\nExample 2\nInput: [[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]]\nOutput: [[0, 0, 0, 4, 4], [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]]\n\nExample 3\nInput: [[0, 0, 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]]\nOutput: [[0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 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]]\n\nExample 4\nInput: [[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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0]]\n\nExample 5\nInput: [[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, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [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, 0, 0, 0], [0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 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]]\n\nExample 6\nInput: [[0, 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]]\nOutput: [[0, 0, 0, 1, 1, 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, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0], [0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[1, 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], [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, 9]]\nOutput: [[1, 1, 1, 1, 1, 1, 1, 1], [1, 5, 5, 5, 5, 5, 5, 1], [1, 5, 9, 9, 9, 9, 5, 1], [1, 5, 9, 3, 3, 9, 5, 1], [1, 5, 9, 3, 3, 9, 5, 1], [1, 5, 9, 9, 9, 9, 5, 1], [1, 5, 5, 5, 5, 5, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1]]\n\nExample 2\nInput: [[5, 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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 8]]\nOutput: [[5, 5, 5, 5, 5, 5, 5], [5, 2, 2, 2, 2, 2, 5], [5, 2, 8, 8, 8, 2, 5], [5, 2, 8, 9, 8, 2, 5], [5, 2, 8, 8, 8, 2, 5], [5, 2, 2, 2, 2, 2, 5], [5, 5, 5, 5, 5, 5, 5]]\n\nExample 3\nInput: [[9, 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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 3]]\nOutput: [[9, 9, 9, 9, 9, 9, 9], [9, 2, 2, 2, 2, 2, 9], [9, 2, 3, 3, 3, 2, 9], [9, 2, 3, 8, 3, 2, 9], [9, 2, 3, 3, 3, 2, 9], [9, 2, 2, 2, 2, 2, 9], [9, 9, 9, 9, 9, 9, 9]]\n\nExample 4\nInput: [[4, 0, 0, 0, 0, 0, 0, 0, 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], [1, 0, 0, 0, 0, 0, 0, 0, 3]]\nOutput: [[4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 7, 7, 7, 7, 7, 7, 7, 4], [4, 7, 3, 3, 3, 3, 3, 7, 4], [4, 7, 3, 1, 1, 1, 3, 7, 4], [4, 7, 3, 1, 4, 1, 3, 7, 4], [4, 7, 3, 1, 1, 1, 3, 7, 4], [4, 7, 3, 3, 3, 3, 3, 7, 4], [4, 7, 7, 7, 7, 7, 7, 7, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4]]\n\nExample 5\nInput: [[6, 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, 0, 0], [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, 3]]\nOutput: [[6, 6, 6, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 2, 2, 6], [6, 2, 3, 3, 3, 3, 2, 6], [6, 2, 3, 7, 7, 3, 2, 6], [6, 2, 3, 7, 7, 3, 2, 6], [6, 2, 3, 3, 3, 3, 2, 6], [6, 2, 2, 2, 2, 2, 2, 6], [6, 6, 6, 6, 6, 6, 6, 6]]\n\nExample 6\nInput: [[9, 0, 0, 0, 0, 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], [5, 0, 0, 0, 0, 8]]\nOutput: [[9, 9, 9, 9, 9, 9], [9, 7, 7, 7, 7, 9], [9, 7, 8, 8, 7, 9], [9, 7, 8, 8, 7, 9], [9, 7, 7, 7, 7, 9], [9, 9, 9, 9, 9, 9]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[4, 0, 0, 0, 0, 9], [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, 0, 0, 0, 0, 5]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 4], [4, 9, 5, 5, 9, 4], [4, 9, 5, 5, 9, 4], [4, 9, 9, 9, 9, 4], [4, 4, 4, 4, 4, 4]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 1, 5, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0], [0, 0, 5, 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]]\nOutput: [[0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 5], [0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 5], [0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 5], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 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], [5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1]]\n\nExample 2\nInput: [[0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 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, 0, 0, 0, 0, 0]]\nOutput: [[6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [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, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]]\n\nExample 4\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, 4, 4, 0, 0, 0, 0, 0], [0, 0, 0, 9, 4, 0, 0, 0, 0, 0], [0, 0, 0, 9, 4, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 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], [4, 4, 4, 4, 4, 4], [9, 9, 9, 4, 4, 4], [9, 9, 9, 4, 4, 4], [9, 9, 9, 4, 4, 4], [9, 9, 9, 4, 4, 4], [9, 9, 9, 4, 4, 4], [9, 9, 9, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 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]]\nOutput: [[6, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0], [7, 7, 7, 7, 7, 7, 6, 6, 6], [7, 7, 7, 7, 7, 7, 6, 6, 6], [7, 7, 7, 7, 7, 7, 6, 6, 6], [7, 7, 7, 7, 7, 7, 6, 6, 6], [7, 7, 7, 7, 7, 7, 6, 6, 6], [7, 7, 7, 7, 7, 7, 6, 6, 6]]\n\nExample 6\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, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 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, 0, 0, 0]]\nOutput: [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 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, 5, 5, 0], [0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[6, 4, 9, 9, 9, 4, 6], [6, 1, 7, 7, 7, 1, 6], [2, 7, 7, 9, 7, 7, 2], [4, 4, 4, 5, 4, 4, 4], [2, 5, 1, 5, 1, 5, 2]]\nOutput: [[2, 4, 2, 6, 6], [5, 4, 7, 2, 4], [2, 4, 7, 7, 9], [5, 5, 9, 7, 9], [2, 4, 7, 7, 9], [5, 4, 7, 2, 4], [2, 4, 2, 6, 6]]\n\nExample 2\nInput: [[3, 9, 8, 9, 3], [3, 7, 8, 7, 3], [5, 5, 8, 5, 5], [5, 4, 3, 4, 5], [5, 8, 3, 8, 5], [7, 8, 1, 8, 7]]\nOutput: [[7, 5, 5, 5, 3, 3], [8, 8, 4, 5, 7, 9], [2, 3, 3, 8, 8, 8], [8, 8, 4, 5, 7, 9], [7, 5, 5, 5, 3, 3]]\n\nExample 3\nInput: [[7, 7, 8, 9, 4, 4], [1, 7, 9, 9, 4, 4], [1, 5, 3, 9, 4, 1], [5, 9, 2, 2, 2, 8], [5, 5, 2, 1, 5, 8], [5, 5, 4, 5, 6, 6]]\nOutput: [[5, 5, 5, 2, 2, 7], [5, 5, 9, 5, 7, 7], [4, 2, 2, 3, 9, 8], [5, 2, 2, 9, 9, 9], [6, 5, 2, 4, 4, 4], [6, 8, 8, 2, 4, 4]]\n\nExample 4\nInput: [[1, 1, 9, 1], [9, 4, 4, 1], [1, 4, 4, 9], [1, 9, 1, 1]]\nOutput: [[2, 2, 9, 2], [9, 4, 4, 2], [2, 4, 4, 9], [2, 9, 2, 2]]\n\nExample 5\nInput: [[6, 6, 3, 4, 4, 9], [6, 6, 6, 4, 4, 9], [6, 1, 1, 4, 5, 9], [4, 1, 1, 4, 6, 9], [4, 4, 5, 4, 4, 4], [4, 5, 5, 5, 9, 4], [4, 7, 8, 4, 4, 1]]\nOutput: [[4, 4, 4, 4, 6, 6, 6], [7, 5, 4, 2, 2, 6, 6], [8, 5, 5, 2, 2, 6, 3], [4, 5, 4, 4, 4, 4, 4], [4, 9, 4, 6, 5, 4, 4], [2, 4, 4, 9, 9, 9, 9]]\n\nExample 6\nInput: [[2, 1, 8, 8, 1, 2], [2, 9, 8, 8, 9, 2], [2, 8, 8, 8, 8, 2], [3, 3, 5, 5, 3, 3], [2, 8, 8, 8, 8, 2], [2, 9, 8, 8, 9, 2], [2, 1, 8, 8, 1, 2]]\nOutput: [[2, 2, 2, 3, 2, 2, 2], [2, 9, 8, 3, 8, 9, 2], [8, 8, 8, 5, 8, 8, 8], [8, 8, 8, 5, 8, 8, 8], [2, 9, 8, 3, 8, 9, 2], [2, 2, 2, 3, 2, 2, 2]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[6, 6, 6, 7, 7, 4, 6], [1, 6, 2, 8, 6, 4, 5], [2, 5, 4, 4, 6, 1, 4], [9, 9, 6, 3, 3, 6, 4], [8, 9, 8, 8, 3, 6, 6]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[8, 9, 2, 2, 6], [9, 9, 5, 6, 6], [8, 6, 4, 2, 6], [8, 3, 4, 8, 7], [3, 3, 6, 6, 7], [6, 6, 2, 4, 4], [6, 4, 4, 5, 6]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[9, 0, 0, 0, 0, 0, 0, 9], [0, 5, 0, 0, 0, 0, 5, 0], [0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 3]]\nOutput: [[9, 0, 0, 0, 0, 0, 0, 3], [0, 5, 0, 0, 0, 0, 3, 0], [0, 0, 8, 0, 0, 6, 0, 0], [0, 0, 0, 1, 7, 0, 0, 0], [0, 0, 0, 1, 7, 0, 0, 0], [0, 0, 8, 0, 0, 6, 0, 0], [0, 5, 0, 0, 0, 0, 3, 0], [9, 0, 0, 0, 0, 0, 0, 3]]\n\nExample 2\nInput: [[7, 0, 0, 0, 0, 0, 7], [0, 8, 0, 0, 0, 8, 0], [0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0], [0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 6]]\nOutput: [[7, 0, 0, 0, 0, 0, 6], [0, 8, 0, 0, 0, 6, 0], [0, 0, 5, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 0], [0, 0, 5, 0, 6, 0, 0], [0, 8, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 6]]\n\nExample 3\nInput: [[6, 0, 0, 0, 0, 0, 6], [0, 1, 0, 0, 0, 1, 0], [0, 0, 7, 0, 7, 0, 0], [0, 0, 0, 5, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0], [0, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 3]]\nOutput: [[6, 0, 0, 0, 0, 0, 3], [0, 1, 0, 0, 0, 3, 0], [0, 0, 7, 0, 2, 0, 0], [0, 0, 0, 5, 0, 0, 0], [0, 0, 7, 0, 2, 0, 0], [0, 1, 0, 0, 0, 3, 0], [6, 0, 0, 0, 0, 0, 3]]\n\nExample 4\nInput: [[4, 0, 0, 0, 0, 0, 0, 0, 4], [0, 9, 0, 0, 0, 0, 0, 9, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 0, 0, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0], [0, 8, 0, 0, 0, 0, 0, 8, 0], [8, 0, 0, 0, 0, 0, 0, 0, 8]]\nOutput: [[4, 0, 0, 0, 0, 0, 0, 0, 8], [0, 9, 0, 0, 0, 0, 0, 8, 0], [0, 0, 1, 0, 0, 0, 8, 0, 0], [0, 0, 0, 7, 0, 8, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 7, 0, 8, 0, 0, 0], [0, 0, 1, 0, 0, 0, 8, 0, 0], [0, 9, 0, 0, 0, 0, 0, 8, 0], [4, 0, 0, 0, 0, 0, 0, 0, 8]]\n\nExample 5\nInput: [[6, 0, 0, 0, 0, 0, 0, 6], [0, 7, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1]]\nOutput: [[6, 0, 0, 0, 0, 0, 0, 1], [0, 7, 0, 0, 0, 0, 1, 0], [0, 0, 2, 0, 0, 1, 0, 0], [0, 0, 0, 3, 9, 0, 0, 0], [0, 0, 0, 3, 9, 0, 0, 0], [0, 0, 2, 0, 0, 1, 0, 0], [0, 7, 0, 0, 0, 0, 1, 0], [6, 0, 0, 0, 0, 0, 0, 1]]\n\nExample 6\nInput: [[5, 0, 0, 0, 0, 5], [0, 8, 0, 0, 8, 0], [0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0], [0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 0, 9]]\nOutput: [[5, 0, 0, 0, 0, 9], [0, 8, 0, 0, 9, 0], [0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0], [0, 8, 0, 0, 9, 0], [5, 0, 0, 0, 0, 9]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[4, 0, 0, 0, 0, 4], [0, 9, 0, 0, 9, 0], [0, 0, 5, 5, 0, 0], [0, 0, 2, 2, 0, 0], [0, 6, 0, 0, 6, 0], [6, 0, 0, 0, 0, 6]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[4, 0, 0, 0, 0, 6], [0, 9, 0, 0, 6, 0], [0, 0, 5, 2, 0, 0], [0, 0, 5, 2, 0, 0], [0, 9, 0, 0, 6, 0], [4, 0, 0, 0, 0, 6]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 8, 8, 0, 0], [0, 0, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 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]]\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, 8, 8, 0, 8, 8], [0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 8, 0, 8, 8]]\n\nExample 2\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, 0, 0, 0], [0, 0, 8, 8, 8, 8, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 8, 8, 8, 8, 0, 0, 0], [0, 0, 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]]\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, 8, 8, 8, 8], [0, 0, 0, 0, 0, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 8, 8], [0, 0, 0, 0, 0, 8, 8, 8, 8]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 0, 8, 0, 8, 0, 0], [0, 0, 0, 8, 8, 8, 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, 0, 0, 0], [0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 8, 0, 8, 0, 8], [0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 0, 8, 0, 8], [0, 0, 0, 0, 0, 8, 8, 8, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0], [0, 0, 0, 8, 0, 0, 0], [0, 0, 8, 8, 8, 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, 8, 8, 8], [0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 8, 8, 8]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 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]]\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, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8], [0, 0, 0, 0, 0, 0, 8, 8, 8], [0, 0, 0, 0, 0, 0, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0], [0, 0, 8, 8, 8, 8, 0, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0], [0, 0, 8, 0, 0, 8, 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, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 8, 8, 8, 8], [0, 0, 0, 0, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 8, 0, 0, 8]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0], [0, 0, 8, 0, 8, 0, 0], [0, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0, 0], [0, 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], [0, 0, 0, 0, 8, 0, 8], [0, 0, 0, 0, 8, 8, 8]]
|
simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[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, 0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 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, 1, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0], [0, 0, 1, 0, 1, 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, 1, 0, 1, 0, 0], [0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[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, 0, 0], [0, 1, 1, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 1, 1, 1, 1, 1, 1, 0, 0], [0, 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]]\nOutput: [[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, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0], [0, 0, 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]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 1, 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, 1, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 1, 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, 1, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 1, 1, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 1, 1, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]
|
simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0], [3, 3, 3, 3, 3, 3], [0, 6, 3, 3, 6, 0], [6, 0, 3, 3, 0, 6]]\nOutput: [[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]]\n\nExample 2\nInput: [[1, 0, 1, 1, 1], [0, 2, 3, 2, 4], [2, 2, 3, 1, 0], [4, 4, 0, 4, 0], [4, 1, 6, 4, 0]]\nOutput: [[7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [7, 7, 7, 7, 7], [7, 7, 7, 7, 7]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 6, 0], [0, 4, 3, 2, 0, 0, 4], [0, 0, 4, 6, 0, 0, 6], [0, 2, 0, 0, 0, 0, 2], [0, 0, 0, 1, 3, 0, 4]]\nOutput: [[7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 3, 1, 0, 1, 3, 0], [0, 0, 0, 2, 0, 0, 0], [0, 6, 0, 3, 0, 6, 0], [2, 4, 0, 0, 0, 4, 2]]\nOutput: [[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]]\n\nExample 5\nInput: [[2, 1, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 3, 1, 0, 0], [2, 4, 0, 0, 0, 4, 2], [0, 2, 0, 0, 0, 2, 0], [0, 0, 4, 2, 4, 0, 0]]\nOutput: [[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]]\n\nExample 6\nInput: [[1, 0, 0], [0, 3, 0], [2, 1, 0], [0, 0, 3]]\nOutput: [[7, 7, 7], [7, 7, 7], [7, 7, 7], [7, 7, 7]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 6, 0], [4, 6, 4], [0, 0, 0], [0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[3, 3, 3], [3, 3, 3], [3, 3, 3], [3, 3, 3]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[6, 6, 0, 6, 0, 0], [6, 0, 0, 6, 0, 6], [6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6]]\nOutput: [[6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 0, 6], [0, 0, 6, 0, 6, 6], [6, 6, 0, 0, 6, 6], [0, 0, 6, 6, 6, 0], [0, 6, 6, 0, 6, 6]]\n\nExample 2\nInput: [[4, 0, 0, 4, 0], [0, 4, 4, 0, 4], [4, 4, 0, 4, 4], [4, 4, 4, 0, 4], [4, 0, 4, 4, 4]]\nOutput: [[4, 0, 4, 4, 4], [0, 4, 4, 4, 0], [0, 4, 0, 4, 4], [4, 0, 4, 0, 4], [0, 4, 4, 4, 4]]\n\nExample 3\nInput: [[6, 6, 0, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6], [0, 0, 0, 6, 6, 6, 0], [0, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 0]]\nOutput: [[6, 6, 0, 0, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 6, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 0, 0]]\n\nExample 4\nInput: [[8, 8, 0], [8, 0, 8], [8, 8, 0]]\nOutput: [[8, 8, 8], [8, 0, 8], [0, 8, 0]]\n\nExample 5\nInput: [[0, 8, 0, 8], [8, 8, 8, 8], [0, 8, 0, 0], [0, 8, 8, 8]]\nOutput: [[0, 8, 0, 0], [8, 8, 8, 8], [0, 8, 0, 8], [8, 8, 0, 8]]\n\nExample 6\nInput: [[4, 4, 0, 0], [0, 4, 0, 4], [4, 0, 4, 4], [0, 4, 0, 4]]\nOutput: [[4, 0, 4, 0], [4, 4, 0, 4], [0, 0, 4, 0], [0, 4, 4, 4]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[6, 6, 0, 6, 6, 0], [0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 6, 6], [6, 0, 6, 6, 0, 0], [0, 0, 6, 0, 6, 6], [6, 6, 0, 0, 6, 6]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[6, 0, 6, 6, 0, 6], [6, 0, 6, 0, 0, 6], [0, 6, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[6, 6, 0, 0, 0], [6, 6, 0, 0, 0], [6, 6, 0, 0, 0], [6, 6, 0, 0, 0]]\nOutput: [[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 6, 6, 6, 6], [0, 6, 6, 6, 6]]\n\nExample 2\nInput: [[7, 7, 7, 7], [7, 7, 7, 7], [7, 7, 7, 7], [0, 0, 0, 0], [0, 0, 0, 0]]\nOutput: [[0, 0, 0, 0], [0, 7, 7, 7], [0, 7, 7, 7], [0, 7, 7, 7], [0, 7, 7, 7]]\n\nExample 3\nInput: [[5, 5, 5, 5, 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, 5], [0, 0, 0, 0, 5], [0, 0, 0, 0, 5], [0, 0, 0, 0, 5]]\n\nExample 4\nInput: [[6, 6, 0], [0, 0, 0], [0, 0, 0]]\nOutput: [[0, 0, 0], [0, 0, 6], [0, 0, 6]]\n\nExample 5\nInput: [[4, 0, 0], [4, 0, 0], [4, 0, 0], [4, 0, 0], [4, 0, 0]]\nOutput: [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [4, 4, 4]]\n\nExample 6\nInput: [[6, 6, 6, 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], [0, 0, 0, 6], [0, 0, 0, 6]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[9, 0, 0, 0, 0], [9, 0, 0, 0, 0], [9, 0, 0, 0, 0], [0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 9, 9, 9]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0, 0], [3, 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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\nOutput: [[3, 3, 3, 3, 3, 3, 3], [3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[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, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 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: [[3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 2, 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, 0, 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: [[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2], [2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[2, 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, 0], [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: [[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 2, 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, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 2, 0, 2, 0, 2, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[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]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[1, 1, 1, 1, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0]]
|
simulation
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 5, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 3, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6]]\nOutput: [[0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 9, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 7], [0, 0, 0, 9, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 5, 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, 8, 1], [0, 0, 0, 3, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 0, 0, 0, 4, 0]]\n\nExample 3\nInput: [[8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 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, 7], [0, 0, 0, 0, 0, 0, 0, 2, 6, 4, 0], [0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0]]\nOutput: [[2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 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, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 8, 0, 5, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 5, 0, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 5, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0], [0, 5, 0, 0, 0, 6, 0, 9, 0], [0, 0, 0, 7, 0, 0, 1, 0, 0], [0, 9, 0, 5, 0, 0, 0, 0, 0]]\nOutput: [[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, 3], [0, 0, 0, 0, 0, 0, 0, 4, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 1, 0, 0, 7, 0, 0], [0, 3, 0, 4, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0], [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, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 2, 0, 8, 0, 0]]\nOutput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 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, 0, 7, 0, 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, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 2, 0, 0]]\n\nExample 6\nInput: [[0, 0, 4, 0, 0, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 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, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[0, 0, 5, 0, 0, 0, 0, 0, 0, 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, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 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], [0, 0, 0, 0, 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, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 6, 0, 4, 0, 0, 0, 8], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 8, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 2], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 3, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 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, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0]]\n\nExample 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, 3, 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, 0, 0, 0, 0, 0, 0, 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, 0, 0]]\n\nExample 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, 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]]\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, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4]]\n\nExample 4\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, 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]]\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, 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, 4, 0]]\n\nExample 5\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, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 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, 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, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[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, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 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, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 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, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 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, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 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]]\nOutput: [[4, 4, 0, 0], [4, 4, 0, 0], [4, 4, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0], [0, 0, 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]]\nOutput: [[4, 4, 4, 0, 0], [4, 4, 4, 0, 0], [4, 4, 4, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]\n\nExample 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, 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]]\nOutput: [[4, 0, 0], [0, 0, 0], [0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 0, 0, 0, 0, 0, 5, 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, 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: [[5, 5, 0, 0], [5, 5, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]\n\nExample 5\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], [5, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]\nOutput: [[5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]\n\nExample 6\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, 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]]\nOutput: [[4, 4, 4, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[0, 0, 0, 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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[1, 1, 1, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[7, 8, 8, 8, 8, 8, 7], [4, 8, 8, 6, 8, 8, 4], [2, 5, 2, 2, 2, 5, 2], [5, 5, 5, 9, 5, 5, 5], [4, 3, 3, 9, 3, 3, 4], [4, 7, 3, 9, 3, 7, 4], [6, 9, 9, 6, 9, 9, 6], [5, 2, 2, 2, 2, 2, 5], [8, 2, 1, 9, 1, 2, 8]]\nOutput: [[8, 7, 7, 7, 7, 7, 8], [1, 7, 7, 5, 7, 7, 1], [3, 6, 3, 3, 3, 6, 3], [6, 6, 6, 5, 6, 6, 6], [1, 2, 2, 5, 2, 2, 1], [1, 8, 2, 5, 2, 8, 1], [5, 5, 5, 5, 5, 5, 5], [6, 3, 3, 3, 3, 3, 6], [7, 3, 4, 5, 4, 3, 7]]\n\nExample 2\nInput: [[5, 2, 1, 9, 8, 9, 1, 2, 5], [5, 5, 5, 8, 8, 8, 5, 5, 5], [3, 5, 3, 3, 3, 3, 3, 5, 3], [1, 7, 1, 2, 5, 2, 1, 7, 1], [6, 8, 8, 8, 3, 8, 8, 8, 6], [3, 5, 1, 2, 2, 2, 1, 5, 3]]\nOutput: [[6, 3, 4, 5, 7, 5, 4, 3, 6], [6, 6, 6, 7, 7, 7, 6, 6, 6], [2, 6, 2, 2, 2, 2, 2, 6, 2], [4, 8, 4, 3, 6, 3, 4, 8, 4], [5, 7, 7, 7, 2, 7, 7, 7, 5], [2, 6, 4, 3, 3, 3, 4, 6, 2]]\n\nExample 3\nInput: [[7, 7, 8, 9, 7, 6, 6, 3, 3, 3], [1, 7, 9, 9, 8, 2, 8, 6, 3, 4], [1, 5, 3, 9, 9, 1, 1, 6, 3, 1], [5, 9, 2, 9, 6, 2, 8, 8, 3, 3], [5, 5, 2, 3, 9, 2, 1, 3, 1, 1], [5, 5, 4, 1, 1, 4, 2, 2, 9, 9]]\nOutput: [[2, 2, 2, 5, 5, 8, 5, 7, 8, 8], [1, 2, 5, 7, 3, 7, 5, 5, 8, 4], [4, 2, 5, 4, 4, 5, 5, 2, 6, 4], [2, 2, 7, 7, 3, 5, 5, 3, 5, 6], [4, 4, 2, 4, 3, 5, 2, 3, 6, 6], [5, 5, 3, 3, 1, 4, 4, 1, 6, 6]]\n\nExample 4\nInput: [[2, 9, 1, 8, 1, 1, 2, 2], [2, 9, 6, 8, 6, 6, 9, 9], [1, 6, 2, 4, 9, 2, 6, 1], [1, 6, 9, 2, 2, 4, 8, 8], [8, 8, 4, 2, 2, 9, 6, 1], [1, 6, 2, 9, 4, 2, 6, 1], [9, 9, 6, 6, 8, 6, 9, 2], [2, 2, 1, 1, 8, 1, 9, 2]]\nOutput: [[3, 3, 4, 4, 7, 4, 5, 3], [5, 5, 5, 5, 7, 5, 5, 3], [4, 5, 3, 5, 1, 3, 5, 4], [7, 7, 1, 3, 3, 5, 5, 4], [4, 5, 5, 3, 3, 1, 7, 7], [4, 5, 3, 1, 5, 3, 5, 4], [3, 5, 5, 7, 5, 5, 5, 5], [3, 5, 4, 7, 4, 4, 3, 3]]\n\nExample 5\nInput: [[3, 3, 3, 2, 3, 7, 9, 6, 1, 4], [5, 5, 3, 2, 7, 9, 9, 2, 4, 9], [2, 8, 8, 8, 7, 9, 9, 3, 5, 1], [3, 8, 8, 8, 3, 4, 9, 9, 5, 3], [3, 8, 7, 5, 3, 5, 4, 5, 5, 3], [7, 7, 7, 7, 7, 5, 4, 5, 5, 6], [4, 7, 7, 7, 7, 9, 1, 5, 4, 4]]\nOutput: [[1, 4, 5, 5, 8, 2, 3, 2, 2, 2], [5, 1, 3, 5, 5, 8, 3, 2, 6, 6], [4, 6, 2, 5, 5, 8, 7, 7, 7, 3], [2, 6, 5, 5, 1, 2, 7, 7, 7, 2], [2, 6, 6, 1, 6, 2, 6, 8, 7, 2], [5, 6, 6, 1, 6, 8, 8, 8, 8, 8], [1, 1, 6, 4, 5, 8, 8, 8, 8, 1]]\n\nExample 6\nInput: [[2, 1, 5, 1, 2], [2, 9, 8, 9, 2], [2, 8, 8, 8, 2], [2, 8, 8, 8, 2], [3, 3, 5, 3, 3], [3, 3, 5, 3, 3], [2, 8, 8, 8, 2], [2, 8, 8, 8, 2], [2, 9, 8, 9, 2], [2, 1, 5, 1, 2]]\nOutput: [[3, 4, 6, 4, 3], [3, 5, 7, 5, 3], [3, 7, 7, 7, 3], [3, 7, 7, 7, 3], [2, 2, 6, 2, 2], [2, 2, 6, 2, 2], [3, 7, 7, 7, 3], [3, 7, 7, 7, 3], [3, 5, 7, 5, 3], [3, 4, 6, 4, 3]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[5, 5, 6, 6, 6, 6, 7, 7, 4, 6], [5, 6, 5, 6, 6, 2, 8, 6, 4, 5], [5, 5, 5, 6, 3, 7, 2, 6, 1, 4], [3, 6, 6, 8, 2, 2, 1, 6, 6, 4], [5, 6, 6, 9, 2, 2, 1, 9, 6, 6]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[5, 1, 8, 8, 5, 5, 5, 5, 6, 6], [6, 1, 5, 7, 3, 5, 5, 6, 5, 6], [1, 4, 5, 3, 8, 2, 5, 6, 6, 6], [1, 5, 5, 4, 3, 3, 7, 5, 5, 2], [5, 5, 5, 4, 3, 3, 5, 5, 5, 6]]
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simulation
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.\nGiven input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays. Here are the input and output grids for the reference examples:\n----------------------------------------\nExample 1\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0, 0], [0, 4, 4, 4, 4, 0, 0], [0, 4, 4, 4, 4, 4, 0], [0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 8]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 8, 8, 0], [0, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 2\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 0], [0, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 6]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0], [0, 6, 6, 6, 6, 6, 0], [0, 6, 6, 0, 6, 6, 0], [0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 3\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0], [0, 3, 3, 3, 3, 3, 0], [0, 3, 0, 3, 3, 3, 0], [0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 7]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 7, 0], [0, 7, 0, 7, 7, 7, 0], [0, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 4\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 6, 0], [0, 6, 6, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 5]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0], [0, 5, 5, 5, 5, 5, 0], [0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 5\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 0, 0, 8, 0], [0, 8, 8, 0, 0, 8, 0], [0, 8, 8, 8, 8, 8, 0], [0, 0, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 5]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 0], [0, 5, 5, 0, 0, 5, 0], [0, 5, 5, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0]]\n\nExample 6\nInput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 1]]\nOutput: [[0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 0], [0, 1, 1, 1, 1, 1, 0], [0, 0, 1, 0, 1, 0, 0], [0, 1, 1, 1, 1, 1, 0], [0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0]]\n\n\n----------------------------------------\nNow, solve the following puzzle based on its input grid by applying the rules you have learned from the training data.\n----------------------------------------\n[[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, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 7]]\n----------------------------------------\nWhat is the output grid? Please put your answer within <answer> and </answer> tags, your final answer should be only the output grid (2d array).\n",
"role": "user"
}
] |
[[0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 7, 0], [0, 7, 7, 0, 7, 7, 0], [0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0]]
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simulation
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