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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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Black Black Black Black Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Black Black Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Gray Gray\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Red Red Red Red Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Orange Orange Gray Gray Black Black Black Gray Gray Gray Black Black Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Red Red Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Gray\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Gray Gray\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Red Red Red Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Gray Black Black Black Gray Gray Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Gray Gray Gray Pink Gray Gray Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Pink Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Pink Gray Gray Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Gray Pink Pink Pink Gray Gray Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Black Black\nGray Orange Orange Gray Black Black Black Black Black Orange Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Black Black Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Black Black Gray Pink Pink Gray Pink\nOrange Gray Orange Orange Gray Black Black Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\n\nOutput:\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\n\n\nExample 3\nInput:\nPink Gray Purple Purple Pink Black Black Black\nPink Gray Green Blue Pink Gray Green Blue\nRed Orange Red Purple Red Orange Red Purple\nRed Pink Pink Orange Red Pink Pink Orange\nPink Gray Purple Purple Pink Gray Purple Purple\nPink Black Black Blue Pink Gray Green Blue\nRed Black Black Purple Red Orange Red Purple\nRed Black Pink Orange Red Pink Pink Orange\n\nOutput:\nPink Gray Purple Purple Pink Gray Purple Purple\nPink Gray Green Blue Pink Gray Green Blue\nRed Orange Red Purple Red Orange Red Purple\nRed Pink Pink Orange Red Pink Pink Orange\nPink Gray Purple Purple Pink Gray Purple Purple\nPink Gray Green Blue Pink Gray Green Blue\nRed Orange Red Purple Red Orange Red Purple\nRed Pink Pink Orange Red Pink Pink Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
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"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
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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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Brown Brown Black Black\nBlack Black Black Black Brown Black Black Black Black Black Brown Black Black\nBlack Black Black Black Brown Brown Brown Black Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Black Brown Yellow Yellow Yellow Black\nBlack Black Black Black Black Brown Brown Brown Brown Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Brown Brown Black Black\nBlack Black Black Black Brown Black Black Black Black Black Brown Black Black\nBlack Black Black Black Brown Brown Brown Black Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Black Brown Yellow Yellow Yellow Black\nBlack Black Black Black Black Brown Brown Brown Brown Yellow Yellow Yellow Black\nBlack Black Black Black Black Brown Brown Brown Brown Yellow Yellow Yellow Black\nBlack Black Black Black Brown Brown Brown Black Brown Yellow Yellow Yellow Black\nBlack Black Black Black Brown Brown Brown Black Brown Brown Brown Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Pink Pink Pink Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Pink Pink Pink Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Pink Pink Pink Black Black\nBlack Black Black Black Black Black Gray Gray Gray Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Pink Pink Pink Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Pink Pink Pink Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Pink Pink Pink Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Pink Pink Pink Gray Black\nBlack Black Black Black Black Black Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Brown Brown Brown Red Red Red Red Red Red Red Black Black\nBlack Black Brown Brown Brown Red Red Black Black Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Brown Brown Brown Red Red Red Red Red Red Red Red Brown\nBlack Black Brown Brown Brown Red Red Red Red Red Red Red Red Brown\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Black Gray Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\n```",
"role": "assistant"
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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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Brown Brown Yellow\nBlack Black Black Brown Brown Black Black Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Yellow Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Green Black Black Black Black\nPurple Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Orange Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Gray Orange Orange Orange Orange Black\nBlack Black Black Gray Gray Gray Orange Orange Orange Black\nBlack Black Black Orange Gray Orange Orange Orange Orange Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Black\nBlack Black Black Orange Orange Orange Gray Gray Orange Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Black Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Red Green Green Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Green Green Red Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Yellow Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Yellow Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Yellow Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Yellow Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Blue Blue Blue Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Blue Blue Blue Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Blue Blue Blue Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Red Black Black Red Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Blue Blue Blue Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Purple Red Purple Purple Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Red Red Red Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Orange Orange Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Blue Blue Blue Orange Orange Orange Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Orange Orange Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Red Red Purple Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Red Red Purple Purple Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Blue Black Black Black Black Black\nBlack Yellow Yellow Yellow Blue Blue Blue Black Black Black Black\nBlack Yellow Yellow Red Red Blue Black Black Orange Black Black\nBlack Black Red Red Red Red Black Orange Orange Orange Black\nBlack Black Red Red Red Red Black Black Orange Black Black\nBlack Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Yellow Yellow Yellow Purple Blue Purple Purple Purple Purple Purple\nPurple Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple\nPurple Yellow Yellow Red Red Blue Purple Purple Orange Purple Purple\nPurple Purple Red Red Red Red Purple Orange Orange Orange Purple\nPurple Purple Red Red Red Red Purple Purple Orange Purple Purple\nPurple Purple Purple Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Gray Black Black\nBlue Blue Black Black Black Brown Brown Gray Black Black\nBlue Blue Black Black Brown Brown Brown Brown Black Black\nBlue Blue Black Black Gray Gray Brown Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Red Black Black\nBlack Black Black Yellow Yellow Black Red Blue Red Black\nBlack Black Black Yellow Yellow Black Black Red Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Green Black Black\nBlack Black Black Yellow Yellow Black Green Green Green Black\nBlack Black Black Yellow Yellow Black Black Green Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Purple Purple Black Black\nBlack Black Brown Black Brown Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black\nBlack Brown Purple Purple Brown Black Black Black Black Black\nBlack Brown Blue Blue Brown Black Black Black Black Black\nBlack Brown Green Green Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Green Green Black Black\nBlack Black Green Black Green Black Green Black Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Green Yellow Yellow Green Black Black Black Black Black\nBlack Green Yellow Yellow Green Black Black Black Black Black\nBlack Green Yellow Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Purple Purple Black Black Pink Pink Pink Pink Black\nBlack Red Purple Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Blue Black Blue Blue\nBlack Black Black Black Blue Blue Blue Black Black Gray\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\n\nOutput:\nBlack Green Green Black Black Yellow Yellow Yellow Yellow Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Yellow Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Black Black Green\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Red Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nRed Black Black Red Black Black Red Black Black Black Black Black\nBlack Red Red Black Red Red Black Black Black Black Black Black\nBlack Red Red Black Red Red Black Black Black Black Black Black\nRed Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nRed Black Black Red Black Black Red Black Black Black Black Black Black Black\nBlack Red Red Black Red Red Black Black Black Black Black Black Black Black\nBlack Red Red Black Red Red Black Black Black Black Black Black Black Black\nRed Black Black Red Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black\nBlack Black Black Black Black Brown Purple Brown\nBlack Black Black Black Black Purple Brown Purple\nBlack Black Black Black Black Brown Purple Brown\nBlack Black Black Black Brown Black Black Black\nBlack Black Black Brown Black Black Black Black\nBlack Black Brown Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Black Black Black Black Black Blue Black Black\nBlack Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Blue Orange Blue Black Black Black Black\nBlack Black Black Orange Blue Orange Black Black Black Black\nBlack Black Black Blue Orange Blue Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Black\nBlack Blue Black Black Black Black Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black\nBlack Gray Black Black Black Black Black Gray Black Black Black\nGray Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black\nYellow Black Black Black Yellow Black Black Black Black\nBlack Yellow Pink Yellow Black Black Black Black Black\nBlack Pink Yellow Pink Black Black Black Black Black\nBlack Yellow Pink Yellow Black Black Black Black Black\nYellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange\nGray Blue Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue Blue Blue Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue\nOrange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange\nGray Blue Blue Blue Gray Gray Blue Blue Blue Gray Black Black Black Black Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue\nBlue Gray Blue Gray Blue Blue Gray Blue Gray Blue Black Black Black Black Blue\nOrange Pink Pink Pink Orange Orange Pink Pink Pink Orange Black Black Black Black Orange\nGray Blue Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue Blue Blue Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue\n\nOutput:\nGray Blue Blue Blue\nBlue Blue Blue Blue\nBlue Gray Blue Gray\nOrange Pink Pink Pink\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Orange Black Black Black Black Orange Green Green Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange\n\nOutput:\nOrange Orange Orange Orange\nOrange Green Green Orange\n\n\nExample 3\nInput:\nOrange Orange Purple Brown Orange Orange Orange Purple Brown Orange\nBlue Orange Brown Brown Purple Black Black Black Brown Purple\nBlue Gray Red Red Red Black Black Black Red Red\nGray Gray Red Blue Gray Black Black Black Blue Gray\nGray Brown Yellow Gray Pink Black Black Black Gray Pink\nOrange Orange Purple Brown Orange Orange Orange Purple Brown Orange\nBlue Orange Brown Brown Purple Blue Orange Brown Brown Purple\nBlue Gray Red Red Red Blue Gray Red Red Red\nGray Gray Red Blue Gray Gray Gray Red Blue Gray\nGray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink\n\nOutput:\nBlue Orange Brown\nBlue Gray Red\nGray Gray Red\nGray Brown Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Black Black Black Blue Blue Yellow Blue\nBlue Blue Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Yellow\nBlue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Pink Black Black Black Pink Black Black Black Black Purple Black Black Purple Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black Purple Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Pink Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Brown Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Pink Black Black Black Black Black Black Black Black Black Black Black\nBrown Yellow Yellow Yellow Brown Pink Black Black Black Black Black Black Black Black Black Black Black\nBrown Yellow Yellow Yellow Brown Pink Black Black Black Black Black Black Black Black Black Black Black\nBrown Yellow Yellow Yellow Brown Pink Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Blue Black Black Red Red Red Red Red Black Black\nBlue Black Black Black Black Blue Black Black Red Black Black Black Red Black Black\nBlue Black Black Black Black Blue Black Black Red Black Black Black Red Black Black\nBlue Blue Blue Blue Blue Blue Black Black Red Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Red Black Black\nBlack Black Orange Orange Orange Orange Black Black Red Red Red Red Red Black Black\nBlack Black Orange Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Red Blue Black Black Black Black Black Black Black Black Black\nOrange Yellow Yellow Orange Red Blue Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Red Blue Black Black Black Black Black Black Black Black Black\nRed Yellow Yellow Yellow Red Blue Black Black Black Black Black Black Black Black Black\nRed Yellow Yellow Yellow Red Blue Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Red Black Black Black Red\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Red Black Black Black Red\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Red Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nRed Yellow Yellow Yellow Red Black Black Black Black Black Black Black Black Black Black Black\nRed Yellow Yellow Yellow Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black\nBrown Black Black Brown Black Black Black Gray Black Gray Black Black Black Black\nBrown Black Black Brown Black Black Black Gray Black Gray Black Black Black Black\nBrown Black Black Brown Black Black Black Gray Gray Gray Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Yellow Yellow Yellow Yellow Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Orange Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Orange Black Black Orange Orange\nBlack Black Black Black Orange Black Black Black Orange Black Orange Black Orange Black Orange Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Black Black Black Orange Black Orange Black Orange Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Orange Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Orange Black Black Black Orange\nBlack Black Gray Black Orange Black Black Black Orange Gray Black Black Orange Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Orange Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Orange Gray Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Black Black Orange Black Black Orange Black Black Orange Black Black\nBlack Orange Black Orange Black Orange Orange Black Black Orange Black Black Orange Black Black\nBlack Black Black Orange Black Black Orange Purple Black Orange Black Black Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Black Orange Black Black Orange Black Black Orange Orange Black\nBlack Black Black Orange Black Black Orange Black Black Orange Black Black Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Gray Orange Black Black Orange Black Black Orange Black Black\nBlack Black Black Orange Black Black Orange Black Black Orange Black Black Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Black Orange Black Black Orange Black Black Orange Black Black\nBlack Black Black Orange Black Black Orange Black Black Orange Black Black Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Gray Orange Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Blue Gray Black Black Black Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Black Black Black Gray Black Black Pink Gray Black Black Black\nBlack Blue Black Black Gray Black Black Black Gray Black Black Black Gray Black Orange Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Black Black Pink Gray Black Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Pink Black Black Pink Black Black Pink Black Black Pink Black\nBlack Black Black Pink Black Black Pink Black Black Pink Black Black Pink Black\nBlack Black Black Pink Black Black Pink Black Black Pink Black Black Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Black Purple Pink Black Purple Pink Black Black Pink Black\nBlack Black Black Pink Purple Black Pink Black Black Pink Black Black Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Red Black Pink Black Black Pink Black Black Pink Red Black Pink Black\nBlack Black Black Pink Black Black Pink Black Black Pink Black Black Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Black Black Pink Black Black Pink Black Black Pink Black\nBlack Black Black Pink Black Black Pink Black Black Pink Black Black Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Black Black Pink Black Black Pink Black Black Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Red Green Black Black Black Black Black\nBlack Black Black Black Black Pink Black Orange Red Green Black Black Black Black\nBlack Black Black Black Black Black Pink Black Orange Red Green Black Black Black\nBlack Black Black Black Black Black Black Pink Black Orange Red Green Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Green Black Black Black Black Black Black Black\nBlack Black Black Pink Green Black Black Black Black Black Black\nBlack Black Black Black Pink Green Black Black Black Black Black\nBlack Black Black Black Black Pink Green Black Black Black Black\nBlack Black Purple Black Black Black Pink Green Black Black Black\nBlack Black Black Purple Black Black Black Pink Green Black Black\nBlack Black Black Black Purple Black Black Black Pink Black Black\nBlack Black Black Black Black Purple Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Green Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Black Gray Black Gray Gray Black Gray Green Green Green Gray\nBlack Gray Black Gray Gray Gray Gray Gray Green Green Green Black\nBlack Gray Gray Black Black Gray Black Black Green Green Green Gray\nGray Black Green Green Green Gray Gray Gray Black Gray Black Gray\nGray Black Green Green Green Black Gray Gray Gray Black Black Black\nBlack Black Green Green Green Black Gray Black Black Black Gray Gray\nGray Gray Gray Gray Gray Black Black Black Gray Black Black Gray\nGray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black\nBlack Black Gray Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Gray Gray Gray Black Gray Black Gray Black Gray Gray\nGray Gray Gray Black Black Gray Gray Gray Gray Black Gray Black\nGray Black Gray Black Black Gray Black Black Black Black Black Gray\n\nOutput:\nBlack Black Black Black Black Black Black Blue Green Green Green Blue\nBlack Black Black Black Black Black Black Blue Green Green Green Blue\nBlack Blue Blue Blue Blue Blue Black Blue Green Green Green Blue\nBlack Blue Green Green Green Blue Black Blue Blue Blue Blue Blue\nBlack Blue Green Green Green Blue Black Black Black Black Black Black\nBlack Blue Green Green Green Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Orange Orange Black Orange Orange Black Black Black Black Orange Black Orange Black\nBlack Black Black Orange Orange Orange Black Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Black Orange Black Orange Orange Black Orange Black Black Orange\nOrange Black Black Black Orange Black Orange Black Black Orange Black Black Black Orange\nBlack Orange Black Black Black Orange Orange Black Black Black Black Orange Black Orange\nBlack Orange Black Black Orange Orange Orange Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Black\nOrange Black Orange Orange Black Black Orange Orange Black Orange Orange Orange Black Black\nOrange Black Green Green Orange Black Orange Black Black Orange Orange Black Orange Orange\nBlack Orange Green Green Orange Orange Orange Black Orange Orange Orange Orange Orange Black\nBlack Black Orange Black Black Orange Orange Orange Black Orange Black Black Orange Black\nOrange Black Black Black Orange Black Orange Black Orange Black Orange Black Orange Black\nOrange Orange Orange Black Orange Black Black Black Black Orange Orange Orange Black Orange\nBlack Orange Black Orange Black Black Orange Black Orange Black Black Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Green Green Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Green Green Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Black Brown Brown Brown Brown Black Black Black Black Brown Black Black Brown\nBlack Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Black Black Brown Brown Brown Brown Black Black\nBrown Black Black Black Brown Black Brown Black Black Brown Black Brown Brown Brown\nBlack Black Brown Black Black Brown Black Brown Black Brown Brown Black Black Brown\nBrown Brown Brown Black Black Brown Black Brown Brown Brown Black Black Brown Black\nBlack Black Black Black Black Brown Black Brown Brown Black Brown Black Black Brown\nBrown Brown Black Black Brown Black Black Brown Brown Brown Black Brown Black Black\nBlack Black Black Brown Black Brown Black Black Brown Black Black Brown Brown Brown\nBrown Black Brown Black Black Brown Black Black Black Brown Black Brown Brown Black\nBrown Brown Brown Black Brown Black Black Brown Black Brown Brown Black Black Black\nBrown Brown Brown Black Brown Brown Brown Green Green Brown Brown Brown Black Brown\nBrown Brown Black Brown Brown Black Black Green Green Black Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Green Green Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Green Green Blue Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow\nBlack Yellow Yellow Black Yellow Yellow Black Black Yellow Black\nBlack Black Black Yellow Black Yellow Black Yellow Yellow Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Yellow Yellow Black\nYellow Yellow Black Yellow Black Green Green Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Green Green Yellow Yellow Black\nBlack Black Black Yellow Black Black Yellow Black Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Black Green Green Black\nYellow Yellow Black Black Black Black Yellow Green Green Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Green Green Blue Black Black\nBlack Black Black Black Blue Green Green Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Green Green Blue\nBlack Black Black Black Black Black Blue Green Green Blue\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Purple Purple Black Black Black\nBlack Pink Pink Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black\nGray Gray Black Black Black Black Black Black Green Green Green Pink Pink\nGray Gray Black Black Black Black Black Black Green Green Green Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Purple Purple Black Black Black\nBlack Pink Pink Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black\nGray Gray Black Black Black Black Black Black Green Green Green Yellow Pink\nGray Gray Black Black Black Black Black Black Green Green Green Yellow Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Green Green Black Black Black\nBlack Black Black Red Red Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Green Green Black Black Black\nBlack Black Black Red Red Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Gray Gray Green Green Black\nBlack Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Gray Yellow Green Green Black\nBlack Black Black Black Black Gray Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Gray Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Gray Red Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Purple Purple Blue Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Blue Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nGray Orange Orange Gray Gray Orange Orange Gray Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow\nOrange Orange Orange Orange\nGray Orange Orange Gray\nYellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Black Black Black Black Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Black Black Black Black Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\n\nOutput:\nPink Pink Yellow Pink\nGreen Green Yellow Green\n\n\nExample 3\nInput:\nPink Gray Purple Purple Pink Gray Purple Purple\nPink Gray Green Blue Pink Black Black Black\nRed Orange Red Purple Red Black Black Black\nRed Pink Pink Orange Red Black Black Black\nPink Gray Purple Purple Pink Black Black Black\nPink Gray Green Blue Pink Gray Green Blue\nRed Orange Red Purple Red Orange Red Purple\nRed Pink Pink Orange Red Pink Pink Orange\n\nOutput:\nGray Green Blue\nOrange Red Purple\nPink Pink Orange\nGray Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Blue\nBlue Blue Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue\nBlue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Gray Red Gray Gray Gray\nBlack Black Black Black Black Black Black Red Red Red Red Gray Gray\nBlack Black Black Black Black Black Black Red Red Red Red Gray Gray\nBlack Black Black Black Black Black Black Red Red Red Red Gray Gray\nBlack Black Black Black Black Black Black Red Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Gray Red Gray Gray Gray Red Black Black Black Black\nBlack Black Red Red Red Red Gray Gray Red Black Black Black Black\nBlack Black Red Red Red Red Gray Gray Red Black Black Black Black\nBlack Black Red Red Red Red Gray Gray Red Black Black Black Black\nBlack Black Red Gray Gray Gray Gray Gray Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Gray Red Gray Gray Gray Red Gray Red Gray Gray Gray\nRed Red Red Red Gray Gray Red Red Red Red Gray Gray\nRed Red Red Red Gray Gray Red Red Red Red Gray Gray\nRed Red Red Red Gray Gray Red Red Red Red Gray Gray\nRed Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Gray Red Gray Gray Gray Red Black\nBlack Black Black Black Black Black Red Red Red Red Gray Gray Red Black\nBlack Black Black Black Black Black Red Red Red Red Gray Gray Red Black\nBlack Black Black Black Black Black Red Red Red Red Gray Gray Red Black\nBlack Black Black Black Black Black Red Gray Gray Gray Gray Gray Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Yellow Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nGray Red Gray Gray Gray Red Black Red Red Red Red Red Red Red\nRed Red Red Gray Gray Red Black Red Gray Red Gray Gray Gray Red\nRed Red Red Gray Gray Red Black Red Red Red Red Gray Gray Red\nRed Red Red Gray Gray Red Black Red Red Red Red Gray Gray Red\nGray Gray Gray Gray Gray Red Black Red Red Red Red Gray Gray Red\nRed Red Red Red Red Red Black Red Gray Gray Gray Gray Gray Red\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Orange Black Black Yellow Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Yellow Yellow Yellow Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Orange Yellow Orange Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Orange Yellow Orange Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Yellow Yellow Yellow Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Yellow Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nOrange Black Black Yellow Black Black Orange Black Black Black Black Black Black Black Black\nBlack Orange Yellow Yellow Yellow Orange Black Black Black Black Black Black Black Black Black\nBlack Yellow Orange Yellow Orange Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Orange Yellow Orange Yellow Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nGray Black Black Yellow Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Yellow Yellow Yellow Gray Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Gray Yellow Gray Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Gray Yellow Gray Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Gray Yellow Yellow Yellow Gray Black Black Black Black Black Black Black Black Black Black\nGray Black Black Yellow Black Black Gray Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink Black Black Yellow Black Black Pink Black\nBlack Black Black Black Black Black Black Pink Yellow Yellow Yellow Pink Black Black\nBlack Black Black Black Black Black Black Yellow Pink Yellow Pink Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Pink Yellow Pink Yellow Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Orange Purple Black Black\nBlack Gray Gray Gray Gray Black Purple Purple Purple Purple Purple Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Orange Gray Gray Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Orange Purple Black Black\nBlack Gray Gray Gray Gray Black Purple Purple Purple Purple Purple Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Orange Gray Gray Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nPink Pink Pink Pink Black Black Black Black Brown Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nOrange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Purple Purple Purple Purple Pink Black Black Black Brown Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Purple Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nPink Pink Pink Pink Black Black Black Black Brown Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nOrange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Purple Purple Purple Purple Pink Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Purple Black Black Black\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Pink Pink Pink Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Pink\nBlack Black Blue Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Blue Orange Blue Blue Black Black Black Black Black Black Brown Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Blue Orange Blue Blue Black Black Black Black Black Black Brown Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Brown Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Yellow Blue Blue Blue\nBlack Black Yellow Yellow Yellow Black Black Black Black Brown Blue Blue Blue Blue\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Pink Black Brown Brown Brown Brown Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Yellow Blue Blue Blue\nBlack Black Yellow Yellow Yellow Black Black Black Black Brown Blue Blue Blue Blue\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Green Brown Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Purple Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Brown Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Blue Red Red Red Brown Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Blue Red Red Red Brown Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Gray Black Black Black Pink Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Red Black Green Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Red Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Purple\nBlack Black Purple Black Black Black Purple Black\nBlack Black Purple Black Black Purple Black Black\nPurple Black Purple Black Purple Black Black Black\nBlack Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlack Purple Purple Purple Black Black Black Black\nPurple Black Purple Black Purple Black Black Black\nBlack Black Purple Black Black Purple Black Black\nBlack Black Purple Black Black Black Purple Black\nBlack Black Purple Black Black Black Black Purple\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Orange Black Orange Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Orange Black Orange Black Orange Black Black Black Black\nOrange Black Black Orange Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Black Gray Black Gray Black Black Black Black Black\nGray Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Gray Black Black Black Black Black Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Black Black Black Pink Black Black\nBlack Black Pink Black Black Pink Black Black Black\nPink Black Pink Black Pink Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Black Black Black Black\nPink Black Pink Black Pink Black Black Black Black\nBlack Black Pink Black Black Pink Black Black Black\nBlack Black Pink Black Black Black Pink Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Blue Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Gray Green Gray Green Gray Green Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Green Green Green Green Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Green Green Green Green Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Green Green Green Green Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Green Green Green Green Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Green Green Green Green Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Gray Blue Gray Blue Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Blue Blue Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Blue Blue Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Blue Blue Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Gray Purple Black Black Black Black Gray Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Gray Orange Black Black Gray Black\nBlack Black Gray Black Black Black Black Black Gray Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Blue Black Gray Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Gray Purple Gray Purple Gray Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Purple Purple Purple Purple Purple Gray Blue Gray Blue Gray Blue Gray Gray Black Black Black Black Black Black Orange Gray Orange Gray Orange Gray Black\nBlack Black Gray Purple Purple Purple Purple Purple Gray Black Gray Blue Blue Blue Blue Gray Black Black Black Black Black Black Black Gray Orange Orange Orange Gray Black\nBlack Black Gray Purple Purple Purple Purple Purple Gray Black Gray Blue Blue Blue Blue Gray Black Black Black Black Black Black Black Gray Orange Orange Orange Orange Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Gray Blue Blue Blue Blue Gray Black Black Black Black Black Black Black Gray Orange Orange Orange Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Blue Blue Blue Blue Gray Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Yellow Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Gray Yellow Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Yellow Yellow Yellow Yellow Gray Black Black Black Black Black\nBlack Black Black Gray Yellow Yellow Yellow Yellow Gray Black Black Black Black Black\nBlack Black Black Gray Yellow Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Gray Gray Black Black Black Black\nBlack Gray Black Black Red Black Black Gray Black Black Black Black\nBlack Gray Black Black Black Black Black Gray Black Black Black Black\nBlack Gray Black Black Black Black Black Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Pink Gray Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Gray Red Gray Red Red Gray Gray Black Black Black Black\nBlack Gray Red Red Red Red Red Gray Black Black Black Black\nBlack Gray Red Red Red Red Red Gray Black Black Black Black\nBlack Gray Red Red Red Red Red Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Gray Pink Gray Pink Black\nBlack Black Black Black Black Black Black Pink Pink Gray Black Black\nBlack Black Black Black Black Black Black Gray Pink Gray Black Black\nBlack Black Black Black Black Black Black Gray Pink Gray Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black\nBlack Green Green Black Black Black Black Black\nBlack Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Green Green Black Black\nBlack Black Black Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Green Black Black Black Black Black\nGreen Green Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black\nBlack Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Blue Blue Black\nBlue Blue Black Black Blue Blue Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Pink Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Red Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\n\nOutput:\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Brown Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Red Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nBlue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nBlue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nBlue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nBlue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown\n\nOutput:\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nPink Gray Pink Gray Pink Gray Pink Gray Pink Gray\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nPink Gray Pink Gray Pink Gray Pink Gray Pink Gray\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nPink Gray Pink Gray Pink Gray Pink Gray Pink Gray\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\n\n\nExample 3\nInput:\nPurple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown\nPurple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown\nPurple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown\nPurple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow Brown\nYellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow Brown\nYellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow Brown\nYellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow Brown\nYellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Red Red Black Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Black Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Purple Purple Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Purple Purple Purple Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Purple Purple Purple Purple Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Purple Purple Purple Purple Purple\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Purple Purple Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Green Purple Purple Purple Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Green Purple Purple Purple Purple Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Purple Purple Purple Purple Purple\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Green Green Green Black Black Gray Gray Gray Gray Gray Purple Purple Purple Purple Black Black\nBlack Green Green Green Black Black Gray Gray Gray Gray Gray Purple Purple Purple Purple Black Black\nBlack Green Green Green Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Brown Yellow Yellow Yellow Black Black Black Black\nBlack Gray Gray Gray Gray Gray Brown Yellow Yellow Yellow Black Black Black Black\nBlack Gray Gray Gray Gray Gray Brown Yellow Yellow Yellow Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Brown Brown Brown\nBlack Black Black Black Black Gray Pink Pink Pink Pink Pink Pink Brown Brown\nBlack Black Black Black Black Gray Pink Pink Pink Pink Pink Pink Brown Brown\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Brown Brown\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Brown Brown\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Brown Yellow Yellow Yellow Black Black Black Black\nBlack Gray Gray Gray Gray Gray Brown Yellow Yellow Yellow Black Black Black Black\nBlack Gray Gray Gray Gray Gray Brown Yellow Yellow Yellow Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Brown Brown Brown\nBlack Black Black Black Black Gray Pink Pink Pink Pink Pink Pink Brown Brown\nBlack Black Black Black Black Gray Pink Pink Pink Pink Pink Pink Brown Brown\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Brown Brown\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Brown Brown\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Gray Gray Gray Gray Gray Black Black Black Red Red Red Red Red\nBlack Black Gray Gray Gray Gray Gray Black Black Black Red Red Red Red Red\nBlack Black Gray Gray Gray Gray Gray Black Black Black Red Red Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Orange Black Purple\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Yellow Black Black\nBlack Black Black Black Blue Orange Black Black Black Black Red Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black Black\nBlue Blue Blue Blue Blue Orange Red Red Red Red Red Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Green Green Green Green Green Green Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Black Black Black Black Red Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black Black Black\nRed Green Black Black Green Red Black Black Black Black Black Black\nYellow Green Blue Blue Green Yellow Black Black Black Black Black Black\nYellow Green Blue Blue Green Yellow Black Black Black Black Black Black\nRed Green Black Black Green Red Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red\nRed Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red\nRed Green Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Green Red\nYellow Green Blue Blue Green Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Green Blue Blue Green Yellow\nYellow Green Blue Blue Green Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Green Blue Blue Green Yellow\nRed Green Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Green Red\nRed Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red\nRed Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red\n\n\nExample 2\nInput:\nBlack Pink Black Pink Black Black Black Black Black Black\nPink Pink Black Pink Pink Black Black Black Black Black\nBrown Black Black Black Brown Black Black Black Black Black\nBrown Green Blue Green Brown Black Black Black Black Black\nBrown Black Black Black Brown Black Black Black Black Black\nPink Pink Black Pink Pink Black Black Black Black Black\nBlack Pink Black Pink Black Black Black Black Black Black\n\nOutput:\nBlack Pink Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black\nPink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink\nBrown Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown\nBrown Green Blue Green Brown Black Black Black Black Black Black Black Black Black Black Brown Green Blue Green Brown\nBrown Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown\nPink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink\nBlack Pink Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black\n\n\nExample 3\nInput:\nBlack Yellow Black Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Brown Brown Yellow Black Black Black Black Black Black Black\nBlue Orange Blue Blue Orange Blue Black Black Black Black Black Black\nBlack Orange Black Black Orange Black Black Black Black Black Black Black\nBlue Orange Blue Blue Orange Blue Black Black Black Black Black Black\nBlack Yellow Brown Brown Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black\nBlack Yellow Brown Brown Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Brown Brown Yellow Black\nBlue Orange Blue Blue Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Orange Blue Blue Orange Blue\nBlack Orange Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black\nBlue Orange Blue Blue Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Orange Blue Blue Orange Blue\nBlack Yellow Brown Brown Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Brown Brown Yellow Black\nBlack Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Purple Blue Black Black Black Black Black Black\nGray Purple Purple Purple Gray Black Black Black Black Black\nBlack Purple Yellow Purple Black Black Black Black Black Black\nGreen Green Black Green Green Black Black Black Black Black\nGreen Black Black Black Green Black Black Black Black Black\nGreen Green Black Green Green Black Black Black Black Black\nBlack Purple Yellow Purple Black Black Black Black Black Black\nGray Purple Purple Purple Gray Black Black Black Black Black\nBlack Blue Purple Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Purple Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Purple Blue Black\nGray Purple Purple Purple Gray Black Black Black Black Black Black Black Black Black Black Gray Purple Purple Purple Gray\nBlack Purple Yellow Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Yellow Purple Black\nGreen Green Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Green Green\nGreen Black Black Black Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black Green\nGreen Green Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Green Green\nBlack Purple Yellow Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Yellow Purple Black\nGray Purple Purple Purple Gray Black Black Black Black Black Black Black Black Black Black Gray Purple Purple Purple Gray\nBlack Blue Purple Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Purple Blue Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Black Black Blue Blue Blue Yellow\nBlack Yellow Black Black Black Black Black Black Blue Blue Blue Yellow\nBlack Yellow Black Black Black Black Black Black Blue Blue Blue Yellow\nBlack Yellow Black Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Blue Blue Blue Black Black Yellow\nYellow Black Black Black Black Blue Blue Blue Black Black Yellow\nYellow Black Black Black Black Blue Blue Blue Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Green Green Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Black Black Black Black Black Yellow\nBlack Black Yellow Black Black Black Blue Blue Blue Yellow\nBlack Black Yellow Black Black Black Blue Blue Blue Yellow\nBlack Black Yellow Black Black Black Blue Blue Blue Yellow\nBlack Black Yellow Black Black Black Black Black Black Yellow\nBlack Black Yellow Black Black Black Black Black Black Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Yellow\nYellow Green Green Green Green Green Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Black Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Black Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Green\nBlack Green Green Green Green Black Green Green Green Green\nBlack Green Green Green Green Black Green Green Green Green\nBlack Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Green Green Green Green\nBlack Black Green Green Green Black Green Green Green Green\nBlack Black Green Green Green Black Green Green Green Green\nBlack Black Green Green Green Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Blue Blue Blue Black Black Blue Blue Blue Blue\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green\nBlack Green Green Green Black Black Green Green Green Green\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Green Green Green Black Black\nBlack Green Green Green Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Blue Blue Blue Black Black Blue Blue Blue Black\nBlack Blue Blue Blue Black Black Blue Blue Blue Black\nBlack Blue Blue Blue Black Black Blue Blue Blue Black\nBlack Blue Blue Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Green Green Green Black Black Green Green Green Black\nBlack Green Green Green Black Black Green Green Green Black\nBlack Green Green Green Black Black Green Green Green Black\nBlack Green Green Green Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Yellow Yellow Gray Gray Black Black Black Orange Orange Red Red Pink Brown Black\nBlack Black Black Black Pink Brown Purple Gray Yellow Blue Purple Black Orange Orange Orange Pink Brown Yellow Black\nBlack Black Black Black Red Pink Orange Green Gray Purple Purple Blue Red Red Pink Orange Purple Yellow Black\nBlack Black Black Black Red Orange Pink Green Black Purple Blue Gray Pink Pink Green Green Gray Gray Black\nBlack Black Black Black Orange Orange Red Pink Purple Purple Blue Pink Pink Purple Black Gray Yellow Gray Black\nBlack Black Black Black Orange Orange Red Pink Pink Blue Yellow Red Blue Purple Purple Purple Blue Black Black\nBlack Black Black Black Black Black Blue Gray Pink Red Red Red Yellow Blue Blue Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Blue Blue Yellow Red Red Red Pink Gray Blue Black Black Black\nPink Pink Pink Black Black Blue Purple Purple Purple Blue Red Yellow Blue Pink Pink Red Orange Orange Black\nPink Pink Pink Black Gray Yellow Gray Black Purple Pink Pink Blue Purple Purple Pink Red Orange Orange Black\nPink Pink Pink Black Gray Gray Green Green Pink Pink Gray Blue Purple Black Green Pink Orange Red Black\nBlack Black Black Black Yellow Purple Orange Pink Red Red Blue Purple Purple Gray Green Orange Pink Red Black\nBlack Black Black Black Yellow Brown Pink Orange Orange Orange Black Purple Blue Yellow Gray Purple Brown Pink Black\nBlack Black Black Black Brown Pink Red Red Orange Orange Black Black Black Gray Gray Yellow Yellow Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Yellow Yellow Gray Gray Black Black Black Orange Orange Red Red Black Black\nPink Brown Purple Gray Yellow Blue Purple Black Orange Orange Orange Pink Black Black\nRed Pink Orange Green Gray Purple Purple Blue Red Red Pink Orange Black Black\nRed Orange Pink Green Black Purple Blue Gray Pink Pink Green Green Black Black\nOrange Orange Red Pink Purple Purple Blue Pink Pink Purple Black Gray Black Black\nOrange Orange Red Pink Pink Blue Yellow Red Blue Purple Purple Purple Black Black\nBlack Black Blue Gray Pink Red Red Red Yellow Blue Blue Purple Black Black\nBlack Purple Purple Blue Blue Yellow Red Red Red Pink Gray Blue Black Black\nBlack Blue Purple Purple Purple Blue Red Yellow Blue Pink Pink Red Black Black\nGray Yellow Gray Black Purple Pink Pink Blue Purple Purple Pink Red Black Black\nGray Gray Green Green Pink Pink Gray Blue Purple Black Green Pink Black Black\nYellow Purple Orange Pink Red Red Blue Purple Purple Gray Green Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Gray Orange Red Red Red Orange Yellow Black Red Green Red Pink Gray Pink Black Black Black\nBlack Black Black Black Black Orange Orange Purple Red Pink Brown Black Red Blue Blue Red Red Pink Pink Black Black Black\nBlack Black Black Black Black Red Pink Pink Brown Green Brown Yellow Orange Red Brown Brown Brown Green Pink Black Black Black\nBlack Black Black Black Black Red Purple Red Blue Pink Pink Green Green Green Gray Brown Black Red Brown Black Black Black\nBlack Black Black Black Black Brown Brown Red Green Green Red Brown Gray Pink Red Brown Black Black Brown Black Black Black\nBlack Black Black Black Black Brown Brown Green Red Yellow Red Gray Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Gray Green Orange Orange Purple Purple Gray Blue Gray Blue Pink Yellow Black Black Black Black Black\nBlack Blue Blue Black Black Purple Purple Purple Purple Green Blue Gray Gray Gray Pink Pink Black Black Black Black Black Black\nBlack Blue Blue Black Black Gray Gray Brown Brown Green Green Gray Gray Brown Red Brown Black Blue Black Black Black Black\nBlack Black Black Black Black Purple Brown Orange Blue Gray Green Red Yellow Brown Orange Brown Red Yellow Black Black Black Black\nBlack Black Black Black Black Gray Purple Blue Blue Purple Purple Purple Yellow Orange Brown Brown Green Gray Black Black Black Black\nBlack Black Black Black Black Gray Yellow Blue Purple Purple Purple Purple Green Green Black Brown Brown Gray Green Black Black Black\nBlack Black Black Black Black Green Yellow Blue Purple Purple Purple Orange Gray Orange Black Yellow Gray Gray Green Black Black Black\nBlack Black Black Black Black Yellow Black Black Orange Orange Orange Orange Orange Orange Black Yellow Gray Gray Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Blue Gray Orange Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black Black Brown Purple Brown Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Red Green Green Brown Green Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Orange Red Red Red Orange Yellow Black Red Green Red Pink Gray Pink\nOrange Orange Purple Red Pink Brown Black Red Blue Blue Red Red Pink Pink\nRed Pink Pink Brown Green Brown Yellow Orange Red Brown Brown Brown Green Pink\nRed Purple Red Blue Pink Pink Green Green Green Gray Brown Black Red Brown\nBrown Brown Red Green Green Red Brown Gray Pink Red Brown Black Black Brown\nBrown Brown Green Red Yellow Red Gray Yellow Yellow Yellow Yellow Black Black Black\nGray Green Orange Orange Purple Purple Gray Blue Gray Blue Pink Yellow Black Black\nPurple Purple Purple Purple Green Blue Gray Gray Gray Pink Pink Black Black Black\nGray Gray Brown Brown Green Green Gray Gray Brown Red Brown Black Blue Black\nPurple Brown Orange Blue Gray Green Red Yellow Brown Orange Brown Red Yellow Black\nGray Purple Blue Blue Purple Purple Purple Yellow Orange Brown Brown Green Gray Black\nGray Yellow Blue Purple Purple Purple Purple Green Green Black Brown Brown Gray Green\nGreen Yellow Blue Purple Purple Purple Orange Gray Orange Black Yellow Gray Gray Green\nYellow Black Black Orange Orange Orange Orange Orange Orange Black Yellow Gray Gray Blue\nBlack Black Black Black Black Orange Orange Orange Orange Black Blue Gray Orange Blue\nBlack Black Black Black Black Black Red Red Black Black Brown Purple Brown Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Orange Yellow Gray Black Black Black Black Black Black Black Black Black Gray Yellow Orange Black Black\nBlack Black Black Black Black Black Black Red Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Red Black Black\nBlack Black Black Black Black Black Black Red Blue Black Gray Gray Black Black Purple Black Black Gray Gray Black Blue Red Black Black\nBlack Black Black Black Black Black Black Red Brown Gray Green Gray Gray Gray Yellow Gray Gray Gray Green Gray Brown Red Black Black\nBlack Black Black Black Black Black Black Red Gray Gray Green Black Red Red Red Red Red Black Green Gray Gray Red Black Black\nBlack Black Black Black Black Black Black Orange Gray Gray Gray Gray Gray Red Pink Red Gray Gray Gray Gray Gray Orange Black Black\nBlack Black Black Black Black Black Black Green Gray Purple Purple Orange Red Pink Pink Pink Red Orange Purple Purple Gray Green Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Orange Purple Pink Purple Orange Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Purple Purple Black Yellow Purple Purple Purple Yellow Black Purple Purple Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Purple Purple Black Yellow Purple Purple Purple Yellow Black Purple Purple Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Orange Purple Pink Purple Orange Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Green Gray Purple Purple Orange Red Pink Pink Pink Red Orange Purple Purple Gray Green Black Black\nBlack Black Black Black Black Black Black Orange Gray Gray Gray Gray Gray Red Pink Red Gray Gray Gray Gray Gray Orange Black Black\nBlack Black Black Black Black Black Black Red Gray Gray Green Black Red Red Red Red Red Black Green Gray Gray Red Black Black\nBlack Black Black Black Black Black Black Red Brown Gray Green Gray Gray Gray Yellow Gray Gray Gray Green Gray Brown Red Black Black\nBlack Black Black Black Black Black Black Red Blue Black Gray Gray Black Black Purple Black Black Gray Gray Black Blue Red Black Black\nBlack Purple Purple Purple Purple Black Black Red Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Red Black Black\nBlack Purple Purple Purple Purple Black Black Orange Yellow Gray Black Black Black Black Black Black Black Black Black Gray Yellow Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Yellow Gray Black Black Black Black Black Black Black Black Black Gray Yellow Orange\nRed Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Red\nRed Blue Black Gray Gray Black Black Purple Black Black Gray Gray Black Blue Red\nRed Brown Gray Green Gray Gray Gray Yellow Gray Gray Gray Green Gray Brown Red\nRed Gray Gray Green Black Red Red Red Red Red Black Green Gray Gray Red\nOrange Gray Gray Gray Gray Gray Red Pink Red Gray Gray Gray Gray Gray Orange\nGreen Gray Purple Purple Orange Red Pink Pink Pink Red Orange Purple Purple Gray Green\nPurple Purple Purple Purple Black Orange Purple Pink Purple Orange Black Purple Purple Purple Purple\nYellow Yellow Purple Purple Black Yellow Purple Purple Purple Yellow Black Purple Purple Yellow Yellow\nYellow Yellow Black Black Black Yellow Pink Pink Pink Yellow Black Black Black Yellow Yellow\nYellow Yellow Purple Purple Black Yellow Purple Purple Purple Yellow Black Purple Purple Yellow Yellow\nPurple Purple Purple Purple Black Orange Purple Pink Purple Orange Black Purple Purple Purple Purple\nGreen Gray Purple Purple Orange Red Pink Pink Pink Red Orange Purple Purple Gray Green\nOrange Gray Gray Gray Gray Gray Red Pink Red Gray Gray Gray Gray Gray Orange\nRed Gray Gray Green Black Red Red Red Red Red Black Green Gray Gray Red\nRed Brown Gray Green Gray Gray Gray Yellow Gray Gray Gray Green Gray Brown Red\nRed Blue Black Gray Gray Black Black Purple Black Black Gray Gray Black Blue Red\nRed Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Red Brown Gray Orange Orange Red Red Pink Brown Purple Orange Orange Pink Pink\nOrange Red Red Brown Blue Orange Yellow Yellow Green Green Pink Orange Orange Red Yellow Pink\nBrown Gray Orange Blue Blue Orange Orange Orange Orange Orange Green Pink Green Pink Yellow Gray\nBrown Pink Pink Black Gray Pink Orange Orange Orange Green Green Purple Purple Pink Blue Yellow\nGray Gray Green Pink Orange Pink Yellow Green Brown Yellow Gray Gray Brown Pink Pink Yellow\nPink Pink Pink Pink Pink Red Yellow Orange Gray Pink Gray Gray Brown Purple Pink Black\nPink Pink Brown Purple Pink Red Red Gray Gray Red Red Red Brown Brown Brown Black\nBlack Pink Pink Red Red Orange Black Purple Purple Green Red Red Blue Brown Black Black\nBlue Pink Purple Orange Gray Orange Black Black Black Black Black Blue Blue Black Black Black\nPurple Yellow Purple Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Yellow Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Red Brown Gray Orange Orange Red Red Pink Brown Purple Orange Orange Pink Pink\nOrange Red Red Brown Blue Orange Yellow Yellow Green Green Pink Orange Orange Red Yellow Pink\nBrown Gray Orange Blue Blue Orange Orange Orange Orange Orange Green Pink Green Pink Yellow Gray\nBrown Pink Pink Black Gray Pink Orange Orange Orange Green Green Purple Purple Pink Blue Yellow\nGray Gray Green Pink Orange Pink Yellow Green Brown Yellow Gray Gray Brown Pink Pink Yellow\nPink Pink Pink Pink Pink Red Yellow Orange Gray Pink Gray Gray Brown Purple Pink Black\nPink Pink Brown Purple Pink Red Red Gray Gray Red Red Red Brown Brown Brown Black\nBlack Pink Pink Red Red Orange Black Purple Purple Green Red Red Blue Brown Black Black\nBlue Pink Purple Orange Gray Orange Black Black Black Black Black Blue Blue Black Black Black\nPurple Yellow Purple Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Green Green Black Green Green Green Green Green Black Black\nGreen Black Black Black Green Black Green Black Black Black Green Black Black\nGreen Black Black Black Green Black Green Black Black Black Green Black Black\nGreen Black Black Black Green Black Green Black Black Black Green Black Black\nGreen Green Green Green Green Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Green Green Green Green Black Black Black Black\nGreen Black Black Green Black Green Green Green Green Black Black Black Black\nGreen Black Black Green Black Green Green Green Green Black Green Green Green\nGreen Green Green Green Black Green Green Green Green Black Green Black Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Black Green Green Green Green Green Black Black\nGreen Black Black Black Green Black Green Black Black Black Green Black Black\nGreen Black Black Black Green Black Green Black Black Black Green Black Black\nGreen Black Black Black Green Black Green Black Black Black Green Black Black\nGreen Green Green Green Green Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Orange Orange Orange Orange Black Black Black Black\nGreen Black Black Green Black Orange Orange Orange Orange Black Black Black Black\nGreen Black Black Green Black Orange Orange Orange Orange Black Green Green Green\nGreen Green Green Green Black Orange Orange Orange Orange Black Green Black Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nGreen Green Green Black Black Black Black Green Black Green Black Black\nGreen Green Green Black Black Black Black Green Green Green Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Green Green Green\nBlack Black Green Black Black Black Green Black Black Green Green Green\nBlack Black Green Black Black Black Green Black Black Green Green Green\nBlack Black Green Black Black Black Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nOrange Orange Orange Black Black Black Black Green Black Green Black Black\nOrange Orange Orange Black Black Black Black Green Green Green Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Orange Orange Orange\nBlack Black Green Black Black Black Green Black Black Orange Orange Orange\nBlack Black Green Black Black Black Green Black Black Orange Orange Orange\nBlack Black Green Black Black Black Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Green Green Green Black Black\nBlack Green Green Green Green Black Black Green Black Green Black Black\nBlack Green Green Green Green Black Black Green Green Green Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Green Green Green Black Black\nBlack Orange Orange Orange Orange Black Black Green Black Green Black Black\nBlack Orange Orange Orange Orange Black Black Green Green Green Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Green Green Green Black Green Green\nGreen Green Black Green Green Green Black Black Green Green Green Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Green Green Green\nGreen Green Green Black Black Black Green Black Black Green Black Green Black Green\nGreen Black Green Black Black Black Green Black Black Green Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Orange Orange Orange Black Orange Orange\nOrange Orange Black Orange Orange Orange Black Black Orange Orange Orange Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Green Green Green\nGreen Green Green Black Black Black Green Black Black Green Black Green Black Green\nGreen Black Green Black Black Black Green Black Black Green Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Brown Brown Brown Black Green Green Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Brown Black Green Green Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Green Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Orange Orange Black Black Black Pink Pink Black\nBlack Black Yellow Yellow Yellow Yellow Black Orange Orange Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black\nBlack Black Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Pink Black Pink Pink Pink Black Pink Black Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink\nBlack Pink Black Black Black Black Purple Pink Black Pink Black Pink Pink\nPink Black Pink Pink Black Black Purple Pink Black Black Black Black Black\nPink Black Black Black Black Black Purple Black Black Pink Black Pink Black\nBlack Black Pink Pink Black Black Purple Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Purple Pink Black Black Black Pink Pink\nBlack Black Pink Pink Pink Black Purple Black Black Pink Black Pink Pink\nPink Black Black Black Pink Black Purple Black Pink Pink Pink Pink Pink\nBlack Pink Black Black Black Black Purple Black Pink Black Black Black Pink\nBlack Pink Pink Black Black Black Purple Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Black\nBlack Black Pink Black Pink Pink Black Black Pink Black Black Black Pink\n\nOutput:\nBlack Black Pink Black Pink Pink Pink Black Pink Black Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Black Black Black Purple Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Purple Pink Pink Black Black Black Pink\nPink Black Black Black Pink Black Purple Black Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Black Purple Pink Pink Pink Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Purple Pink Pink Pink Black Pink Pink\nPink Black Black Black Pink Black Purple Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Purple Pink Pink Black Black Black Pink\nBlack Pink Pink Black Black Black Purple Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Black Pink Pink Pink Black Pink Black Pink Black Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Brown Black Black Black Black Brown Black Black Brown\nBlack Black Black Brown Black Black Brown Brown Brown Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Brown Black\nBlack Brown Brown Black Brown Brown Yellow Black Black Black Black Brown Brown Brown\nBlack Brown Black Black Black Brown Yellow Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Yellow Black Brown Brown Brown Brown Brown Brown\nBrown Black Brown Brown Brown Brown Yellow Black Brown Black Brown Brown Brown Black\nBrown Black Brown Black Black Brown Yellow Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Yellow Brown Brown Black Brown Black Brown Brown\nBlack Black Black Black Black Black Yellow Brown Black Brown Brown Black Brown Brown\nBlack Brown Black Black Black Black Brown Black Black Brown Brown Black Brown Black\nBrown Brown Black Black Brown Brown Black Black Brown Brown Brown Brown Black Black\n\nOutput:\nBlack Black Brown Black Black Brown Black Brown Black Black Brown Black Black Brown\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown\nBrown Black Black Black Brown Brown Black Brown Brown Black Black Black Brown Black\nBrown Brown Brown Black Brown Brown Yellow Brown Brown Black Brown Brown Brown Brown\nBlack Brown Black Black Black Brown Yellow Brown Black Black Black Brown Black Black\nBrown Brown Brown Brown Brown Black Yellow Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Brown Black Black Brown Yellow Brown Black Black Brown Black Brown Black\nBrown Black Brown Black Brown Brown Yellow Brown Brown Black Brown Black Brown Brown\nBrown Black Brown Brown Black Brown Yellow Brown Black Brown Brown Black Brown Brown\nBrown Brown Brown Brown Black Black Brown Black Black Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Black\n\n\nExample 3\nInput:\nYellow Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Black Yellow\nYellow Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Black Black Yellow Black Yellow Black Yellow Yellow Black Black Yellow Black Black\nYellow Yellow Yellow Black Black Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Black Brown Yellow Yellow Yellow Black Yellow Black Yellow\nBlack Yellow Yellow Yellow Black Yellow Brown Black Black Yellow Yellow Yellow Black Yellow\nBlack Yellow Black Yellow Yellow Black Brown Yellow Black Black Yellow Black Black Black\nYellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow Yellow Black Black Yellow\nYellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow\n\nOutput:\nYellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Brown Yellow Yellow Black Yellow Yellow Black Black\nYellow Yellow Yellow Black Black Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Black Brown Yellow Yellow Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Black Black Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Brown Yellow Yellow Black Yellow Yellow Black Black\nYellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Black Black Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Yellow Red Black Black Black Black\nBlack Black Black Black Yellow Red Yellow Black Yellow Yellow\nYellow Black Yellow Black Yellow Red Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Red Black Yellow Black Yellow\nBlack Black Black Yellow Yellow Red Yellow Black Yellow Yellow\nYellow Black Black Black Black Red Black Black Yellow Black\nBlack Yellow Black Yellow Black Red Yellow Black Yellow Yellow\nYellow Black Black Black Black Yellow Yellow Black Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Yellow Black Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Red Yellow Black Yellow Yellow\nYellow Black Black Black Yellow Red Yellow Black Yellow Yellow\nYellow Black Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow\nYellow Black Black Black Yellow Red Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Red Yellow Black Yellow Yellow\nYellow Black Black Yellow Black Yellow Yellow Black Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Purple Purple Purple Black\nBlack Black Blue Blue Blue Black Black Black Purple Black\nBlack Black Blue Blue Blue Black Gray Black Purple Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Brown Black\nBlack Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown\nYellow Black Black Yellow Black Black Black Black Brown Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Green Green Green Black Black Black Green Black\nBlack Black Green Green Green Black Green Black Green Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nGreen Black Black Green Black Black Black Black Green Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Orange Orange Black Gray Gray Black Gray Orange Orange\nBlack Orange Orange Black Gray Gray Black Black Orange Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Green Green Green\nBlack Purple Purple Purple Black Black Green Black Black Green\nBlack Purple Black Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Black Purple Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Black\nBlack Green Green Black Green Green Black Green Green Green\nBlack Green Green Black Green Green Black Black Green Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Green Green Green\nBlack Green Green Green Black Black Green Black Black Green\nBlack Green Black Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Pink Pink Pink Pink Black Green Green Gray\nBlack Black Pink Pink Pink Pink Black Black Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Green Black\nBlack Blue Black Black Gray Gray Black Green Green Green\nBlue Blue Blue Black Gray Gray Black Green Green Green\nBlack Blue Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Black Green Green Green Green Black Green Green Green\nBlack Black Green Green Green Green Black Black Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Black\nBlack Green Black Black Green Green Black Green Green Green\nGreen Green Green Black Green Green Black Green Green Green\nBlack Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Gray Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Green Green Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Gray Black Purple Black Black Black Black Black\nBlack Brown Blue Yellow Black Black Black Black Black Black\nBlack Gray Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Gray Black Black Black Black Black Black\nGray Purple Black Purple Yellow Black Black Black Black Black\nBlue Black Purple Black Black Black Black Black Black Black\nBlack Blue Yellow Purple Black Black Black Black Black Black\nGray Black Brown Black Brown Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nPurple Black Brown Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Purple Black Gray Black Black\nBlack Black Black Black Black Black Yellow Blue Brown Black\nBlack Black Black Black Black Black Black Yellow Gray Black\nBlack Black Black Black Black Black Gray Yellow Black Black\nBlack Black Black Black Black Yellow Purple Black Purple Gray\nBlack Black Black Black Black Black Black Purple Black Blue\nBlack Black Black Black Black Black Purple Yellow Blue Black\nBlack Black Black Black Black Brown Black Brown Black Gray\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Blue Brown Black Purple\n\n\nExample 2\nInput:\nOrange Green Gray Black Gray Black Black Black Black Black\nPurple Black Black Green Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Pink Gray Purple Gray Black Black Black Black Black\nPurple Black Orange Pink Gray Black Black Black Black Black\nBlack Pink Black Purple Green Black Black Black Black Black\nBlack Black Gray Orange Black Black Black Black Black Black\nBlack Black Pink Gray Orange Black Black Black Black Black\nPink Purple Purple Black Purple Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Gray Black Gray Green Orange\nBlack Black Black Black Black Black Green Black Black Purple\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Gray Purple Gray Pink Black\nBlack Black Black Black Black Gray Pink Orange Black Purple\nBlack Black Black Black Black Green Purple Black Pink Black\nBlack Black Black Black Black Black Orange Gray Black Black\nBlack Black Black Black Black Orange Gray Pink Black Black\nBlack Black Black Black Black Purple Black Purple Purple Pink\n\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Black Black Black Black\nGray Green Blue Black Gray Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nYellow Yellow Gray Yellow Black Black Black Black Black Black\nYellow Yellow Pink Black Pink Black Black Black Black Black\nBlack Green Gray Green Black Black Black Black Black Black\nGray Black Yellow Yellow Green Black Black Black Black Black\nBlack Yellow Yellow Blue Blue Black Black Black Black Black\nBlue Black Black Green Gray Black Black Black Black Black\nBlack Black Green Black Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Blue Green Gray\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Yellow Gray Yellow Yellow\nBlack Black Black Black Black Pink Black Pink Yellow Yellow\nBlack Black Black Black Black Black Green Gray Green Black\nBlack Black Black Black Black Green Yellow Yellow Black Gray\nBlack Black Black Black Black Blue Blue Yellow Yellow Black\nBlack Black Black Black Black Gray Green Black Black Blue\nBlack Black Black Black Black Blue Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Blue Black Gray Purple Black Black Black Black Black\nBlue Black Black Purple Brown Black Black Black Black Black\nRed Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Gray Black Black Black Black Black\nPurple Brown Black Blue Black Black Black Black Black Black\nBlue Black Black Red Black Black Black Black Black Black\nRed Purple Brown Blue Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Purple Gray Black Blue Black\nBlack Black Black Black Black Brown Purple Black Black Blue\nBlack Black Black Black Black Blue Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Brown Purple\nBlack Black Black Black Black Black Red Black Black Blue\nBlack Black Black Black Black Black Blue Brown Purple Red\nBlack Black Black Black Black Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Blue Blue Blue Black Red Red Red Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Black\nBlack Pink Pink Pink Black Gray Gray Gray Black\nBlack Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Red Red Black Black Blue Blue Blue Blue Black Black Yellow Black Black Black\nRed Red Red Red Red Black Black Blue Blue Blue Blue Black Yellow Yellow Yellow Black Black\nRed Red Red Red Red Black Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Black\nRed Red Red Red Red Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Yellow Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Blue Blue Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Yellow Black Blue Blue Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Yellow Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Gray Gray Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Purple Gray Brown Blue Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Yellow Yellow Gray Yellow Pink Blue Black Black Black Black Black Black\nBlack Black Black Black Green Purple Brown Purple Blue Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Gray Pink Orange Red Brown Red Brown Black Black Black Black Black Black\nBlack Black Black Black Red Purple Purple Orange Pink Red Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Green Green Pink Brown Purple Gray Black Black Black\nBlack Black Black Black Black Black Black Green Purple Yellow Pink Orange Brown Green Black Black Black\nBlack Black Black Black Black Black Black Gray Brown Purple Green Orange Orange Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Orange Yellow Orange Gray Orange Blue Black Black Black\nBlack Black Black Black Black Black Black Yellow Green Orange Pink Gray Purple Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Purple Red Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Red Green Pink Blue Gray Black Black Black Black Black Black\nBlack Black Black Red Orange Brown Blue Purple Brown Black Black Black Black Black Black\nBlack Black Black Gray Brown Brown Purple Purple Brown Red Brown Green Blue Black Black\nBlack Black Black Pink Orange Blue Orange Brown Pink Pink Yellow Pink Red Black Black\nBlack Black Black Green Green Yellow Yellow Orange Yellow Purple Purple Gray Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Purple Brown Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Red Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Red Green Blue Orange Purple Black Black Black Black Black Black Black Black\nBlack Black Pink Orange Gray Pink Blue Purple Black Black Black Black Black Black Black Black\nBlack Black Yellow Orange Green Purple Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Red Purple Orange Gray Green Pink Brown Black Black Black Black Black\nBlack Blue Orange Yellow Purple Gray Brown Blue Pink Black Black Black Black Black\nBlack Green Gray Orange Red Gray Pink Gray Pink Black Black Black Black Black\nBlack Pink Green Green Brown Brown Brown Orange Pink Black Black Black Black Black\nBlack Orange Purple Purple Yellow Pink Pink Purple Brown Black Black Black Black Black\nBlack Blue Green Red Purple Yellow Blue Orange Orange Black Black Black Black Black\nBlack Purple Brown Orange Brown Pink Gray Blue Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Blue Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Purple Purple Blue Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Brown Yellow Red Black Black Black Black\nGray Brown Yellow Red Black Black Black Black\nGray Brown Yellow Red Black Black Black Black\nGray Brown Yellow Red Black Black Black Black\nGray Brown Yellow Red Black Black Black Black\nGray Brown Yellow Red Black Black Black Black\nGray Brown Yellow Red Black Black Black Black\nGray Brown Yellow Red Black Black Black Black\n\nOutput:\nGray\nBrown\nYellow\nRed\n\n\nExample 2\nInput:\nPurple Gray Brown Pink Orange Red Black\nPurple Gray Brown Pink Orange Red Black\nPurple Gray Brown Pink Orange Red Black\nPurple Gray Brown Pink Orange Red Black\nPurple Gray Brown Pink Orange Red Black\nPurple Gray Brown Pink Orange Red Black\nPurple Gray Brown Pink Orange Red Black\n\nOutput:\nPurple\nGray\nBrown\nPink\nOrange\nRed\n\n\nExample 3\nInput:\nOrange Blue Purple Black Black Black Black Black Black\nOrange Blue Purple Black Black Black Black Black Black\nOrange Blue Purple Black Black Black Black Black Black\nOrange Blue Purple Black Black Black Black Black Black\nOrange Blue Purple Black Black Black Black Black Black\nOrange Blue Purple Black Black Black Black Black Black\nOrange Blue Purple Black Black Black Black Black Black\n\nOutput:\nOrange\nBlue\nPurple\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Blue Orange Green Purple Red Gray Black\nYellow Brown Blue Orange Green Purple Red Gray Black\nYellow Brown Blue Orange Green Purple Red Gray Black\nYellow Brown Blue Orange Green Purple Red Gray Black\nYellow Brown Blue Orange Green Purple Red Gray Black\nYellow Brown Blue Orange Green Purple Red Gray Black\nYellow Brown Blue Orange Green Purple Red Gray Black\nYellow Brown Blue Orange Green Purple Red Gray Black\nYellow Brown Blue Orange Green Purple Red Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow\nBrown\nBlue\nOrange\nGreen\nPurple\nRed\nGray\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Blue Blue Black Black Black Green Green Green Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue\nBlack Blue Black Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue\nBlack Blue Black Black Black Green Green Green Green Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlue Blue Black Black Blue Blue Black Black Black Blue Blue Black\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Blue Blue Black\nBlue Blue Black Black Blue Blue Black Black Black Blue Blue Black\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nBlack Green Orange Orange Green Green Orange Orange Green Green Black Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Black Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Black Orange Green Green Orange Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Black Pink Brown Purple Yellow Pink Brown Purple Black Pink Black Purple Yellow\nGray Pink Black Brown Black Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Black Green Green Orange Black Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Black\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Black Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\n\nOutput:\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\n\n\nExample 2\nInput:\nYellow Blue Red Green Yellow Blue Black Green Yellow Blue Red Green Yellow Blue Red\nPink Blue Gray Red Pink Blue Gray Red Pink Blue Gray Red Pink Blue Gray\nOrange Brown Blue Purple Orange Brown Blue Purple Orange Black Blue Purple Orange Brown Blue\nBrown Gray Brown Brown Brown Gray Black Brown Brown Gray Brown Brown Black Gray Black\nYellow Blue Red Green Yellow Blue Red Green Yellow Blue Red Green Yellow Blue Red\nPink Blue Gray Red Pink Blue Black Red Pink Blue Gray Red Pink Blue Gray\nOrange Brown Blue Purple Orange Brown Blue Purple Orange Brown Blue Purple Orange Brown Blue\nBrown Gray Brown Brown Brown Gray Brown Black Black Gray Brown Brown Brown Gray Brown\nYellow Blue Red Green Yellow Black Red Green Yellow Blue Red Green Yellow Blue Red\nPink Blue Gray Red Pink Blue Gray Red Pink Blue Gray Red Pink Blue Gray\nOrange Brown Black Purple Orange Brown Blue Purple Orange Brown Black Purple Orange Brown Blue\nBlack Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown\n\nOutput:\nYellow Blue Red Green Yellow Blue Red Green Yellow Blue Red Green Yellow Blue Red\nPink Blue Gray Red Pink Blue Gray Red Pink Blue Gray Red Pink Blue Gray\nOrange Brown Blue Purple Orange Brown Blue Purple Orange Brown Blue Purple Orange Brown Blue\nBrown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown\nYellow Blue Red Green Yellow Blue Red Green Yellow Blue Red Green Yellow Blue Red\nPink Blue Gray Red Pink Blue Gray Red Pink Blue Gray Red Pink Blue Gray\nOrange Brown Blue Purple Orange Brown Blue Purple Orange Brown Blue Purple Orange Brown Blue\nBrown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown\nYellow Blue Red Green Yellow Blue Red Green Yellow Blue Red Green Yellow Blue Red\nPink Blue Gray Red Pink Blue Gray Red Pink Blue Gray Red Pink Blue Gray\nOrange Brown Blue Purple Orange Brown Blue Purple Orange Brown Blue Purple Orange Brown Blue\nBrown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red Black Red Green Red Green Red Black\nYellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red Green Red Green Red Green Red Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Green Pink Gray Green Pink Black Green Pink Gray Green Pink Gray Green\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray\nBlue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\nBrown Gray Brown Brown Gray Black Brown Gray Brown Brown Gray Brown Brown Gray\nBlue Pink Gray Blue Pink Black Blue Pink Gray Blue Pink Gray Blue Pink\nGray Green Pink Gray Green Black Gray Green Pink Gray Green Pink Gray Green\nBrown Gray Brown Brown Gray Brown Brown Gray Black Brown Gray Brown Brown Gray\nBlue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink Black Blue Black\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Black Gray Green\nBrown Gray Brown Black Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray\nBlue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray\nBlue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray\nBlue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray\nBlue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray\nBlue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink Gray Blue Pink\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Black Black Black Green Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Orange Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Orange Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Gray Black Black Black Black Black Orange\nBlack Black Black Black Black Black Blue Gray Black Black Black Black Black\nBlack Black Black Black Black Orange Purple Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black\n\nOutput:\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Gray Black Black Black Black Black\nBlack Black Black Black Black Orange Purple Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Brown Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Yellow Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Brown Green Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Red Red Red Red Black Purple Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Purple Black Black Pink Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Gray Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Brown Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Red Black Black Black Black Orange Black Black Black Black\n\nOutput:\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Purple Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Black Gray Orange Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Purple Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Pink Pink Pink Black Black Brown Brown Brown Brown Brown Black\nBlack Black Purple Purple Purple Purple Pink Pink Pink Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Blue Red Red Red Blue Red Black Black Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Black Black Red Blue Blue Blue Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Blue Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Red Blue Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Red Red Red Black Black Black Black Black Black Black\nBlack Blue Black Blue Blue Red Red Red Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Red Black Black Orange Orange Orange Orange Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Red Black Red Red Red Blue Red Black Black Black Black Black Black Black\nBlack Red Red Blue Red Black Red Black Black Red Red Red Red Black Black\nBlack Red Red Red Red Black Black Black Black Red Blue Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black\nBlack Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Blue Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Blue Red Black Black Black Black Black Black Red Red Red Black\nBlack Red Blue Red Black Black Black Black Black Black Red Blue Red Black\nBlack Red Red Red Red Black Black Black Black Black Red Blue Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray\nGray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\nRed Yellow Yellow Red Red Yellow Yellow Red Red Yellow Yellow Red Red Yellow Yellow Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray\nGray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\nRed Yellow Yellow Red Red Yellow Yellow Red Red Yellow Yellow Red Red Yellow Yellow Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray\nGray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray\nGray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\nRed Yellow Yellow Red Red Yellow Yellow Red Red Yellow Yellow Red Red Yellow Yellow Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray\nGray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\nRed Yellow Yellow Red Red Yellow Yellow Red Red Yellow Yellow Red Red Yellow Yellow Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray\nGray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\n\n\nExample 2\nInput:\nRed Brown Brown Brown Black Red Brown Brown Brown Red Red Black Brown Brown Red\nGray Orange Brown Orange Gray Gray Orange Brown Orange Gray Gray Orange Brown Orange Gray\nGray Yellow Green Yellow Gray Black Yellow Green Yellow Gray Gray Yellow Green Yellow Gray\nPurple Brown Blue Brown Purple Purple Brown Blue Brown Purple Purple Brown Blue Brown Purple\nOrange Purple Blue Purple Orange Orange Purple Blue Purple Orange Orange Purple Blue Purple Orange\nRed Brown Brown Brown Red Red Brown Brown Brown Red Red Brown Brown Brown Red\nGray Orange Brown Orange Gray Gray Orange Brown Orange Gray Gray Orange Brown Orange Gray\nGray Yellow Green Yellow Gray Gray Yellow Green Yellow Gray Gray Yellow Green Yellow Gray\nPurple Brown Blue Brown Purple Purple Brown Blue Brown Purple Purple Brown Blue Brown Purple\nOrange Purple Blue Purple Orange Orange Purple Blue Purple Orange Orange Purple Blue Purple Orange\nRed Black Brown Brown Red Red Brown Brown Brown Red Red Brown Brown Brown Red\nGray Orange Brown Orange Gray Gray Orange Brown Orange Gray Gray Orange Brown Orange Gray\n\nOutput:\nRed Brown Brown Brown Red Red Brown Brown Brown Red Red Brown Brown Brown Red\nGray Orange Brown Orange Gray Gray Orange Brown Orange Gray Gray Orange Brown Orange Gray\nGray Yellow Green Yellow Gray Gray Yellow Green Yellow Gray Gray Yellow Green Yellow Gray\nPurple Brown Blue Brown Purple Purple Brown Blue Brown Purple Purple Brown Blue Brown Purple\nOrange Purple Blue Purple Orange Orange Purple Blue Purple Orange Orange Purple Blue Purple Orange\nRed Brown Brown Brown Red Red Brown Brown Brown Red Red Brown Brown Brown Red\nGray Orange Brown Orange Gray Gray Orange Brown Orange Gray Gray Orange Brown Orange Gray\nGray Yellow Green Yellow Gray Gray Yellow Green Yellow Gray Gray Yellow Green Yellow Gray\nPurple Brown Blue Brown Purple Purple Brown Blue Brown Purple Purple Brown Blue Brown Purple\nOrange Purple Blue Purple Orange Orange Purple Blue Purple Orange Orange Purple Blue Purple Orange\nRed Brown Brown Brown Red Red Brown Brown Brown Red Red Brown Brown Brown Red\nGray Orange Brown Orange Gray Gray Orange Brown Orange Gray Gray Orange Brown Orange Gray\n\n\nExample 3\nInput:\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Black\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Black Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Black Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Yellow Yellow Yellow Blue Black\nBlack Black Black Black Black Yellow Yellow Yellow Blue Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Yellow Yellow Yellow Blue Black\nBlack Black Black Black Black Yellow Yellow Yellow Blue Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Red\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Green\nPink Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Red\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Green\nYellow Yellow Yellow Yellow Black Black Black Black Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Blue Blue Blue Yellow\nBlack Black Black Black Black Black Blue Blue Blue Black\nRed Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Green\nRed Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Yellow\nPink Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow\nBlack Black Black Black Black Black Blue Blue Blue Black\nRed Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Green\nRed Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Pink\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nRed Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Pink\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\nRed Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Red\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\nRed Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Orange Black Purple\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Green Brown Black Black Black Black Black\nBlack Brown Black Black Black Black Green Black Black Green Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Green Pink Black Green Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Green Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Brown Black Pink Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Green Black Black Brown Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Yellow Black Black\nBlack Black Black Black Blue Orange Black Black Black Black Red Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Pink Yellow Black Black\nBlack Black Black Black Brown Orange Black Black Black Blue Pink Green Black Black Black\nBlack Black Black Brown Black Black Black Black Black Pink Blue Black Black Black Black\nBlack Black Brown Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Green Black Black Orange Black Black Black\nPurple Black Black Black Red Black Black Black Black Black Green Orange Black Black Black Black\nPurple Black Yellow Pink Black Black Black Black Black Black Orange Black Black Black Black Black\nPurple Yellow Pink Black Black Black Black Black Black Orange Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Pink Black Black Gray Black Black Black Black\nBlack Black Black Black Black Pink Black Black Gray Black Black Black Black Black\nBlack Black Black Black Pink Black Black Gray Black Black Black Black Black Black\nBlack Black Black Pink Black Black Gray Black Black Black Black Black Black Black\nBlack Black Pink Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Gray Brown Black Black Black Black Black\nBlack Black Black Black Black Blue Black Gray Gray Black Black Pink Pink Pink\nBlack Black Black Black Blue Black Black Black Gray Black Black Pink Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Blue Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Yellow Green Yellow\nBlack Black Black Black Yellow Green Yellow Black Yellow Green Red Green\nBlack Black Black Black Green Red Green Black Black Yellow Green Yellow\nBlack Black Black Black Yellow Green Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Green Yellow Black Black Yellow Green Yellow\nBlack Black Black Yellow Green Yellow Green Black Black Green Red Green\nBlack Black Black Green Red Green Yellow Black Black Yellow Green Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Red Yellow Green Yellow Black Black\nBlack Black Black Yellow Yellow Green Yellow Green Black Black\nYellow Green Yellow Black Green Red Green Yellow Black Black\nGreen Red Green Black Yellow Green Yellow Black Black Black\nYellow Green Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Red Green Green Red Green Black Black Black\nBlack Black Yellow Green Yellow Yellow Green Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Green\nBlack Yellow Green Yellow Black Black Black Black Black Green Red\nYellow Green Yellow Green Black Yellow Green Yellow Yellow Green Yellow\nGreen Red Green Yellow Black Green Red Green Green Red Green\nYellow Green Yellow Black Black Yellow Green Yellow Yellow Green Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Green Red Green Black Black\nBlack Black Black Black Yellow Green Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Green Yellow Yellow Green Yellow Yellow Green\nBlack Green Red Green Green Red Green Yellow Green\nBlack Yellow Green Yellow Yellow Green Yellow Green Red\nBlack Black Black Black Black Black Black Yellow Green\nBlack Black Black Black Black Black Black Yellow Green\nBlack Black Black Black Black Black Black Green Red\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Black Black Black\nBlue Blue Blue Blue Black Black\nBlack Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Blue\nBlack Black Blue Blue\nBlue Black Blue Black\nBlue Blue Blue Blue\nBlue Blue Blue Blue\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Blue Blue Blue\nBlack Black Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlack Black Blue Blue Black\nBlue Blue Blue Blue Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue\nBlack Black Blue\nBlue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Purple Purple Purple Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Purple Purple Purple Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Purple Purple Purple Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Purple Purple Purple Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Purple Purple Purple Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Purple Purple Purple Pink Pink Pink Pink Black\nBlack Black Black Black Purple Purple Purple Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Purple Purple Purple Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Purple Purple Purple Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Blue Blue Blue Red Red Red Black Black\nBlack Black Black Black Black Red Red Blue Blue Blue Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Blue Blue Blue Red Red Red Black Black\nBlack Black Black Black Black Red Red Blue Blue Blue Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Blue Blue Blue Red Red Red Red Red Red Red Black Blue\nBlack Black Black Blue Blue Blue Red Red Red Red Red Red Red Black Blue\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Brown Brown Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Brown Brown Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Brown Brown Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Brown Brown Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Brown Brown Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Brown Brown Gray Gray Gray Black Black\nBlack Black Black Brown Brown Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Brown Brown Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Brown Brown Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Green Green Green Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Green Green Green Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Green Green Green Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Green Green Green Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Green Green Green Black\nBlack Black Black Purple Green Green Green Purple Purple Purple Green Green Green Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Blue Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Orange Orange Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Orange Orange Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Blue Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Orange Orange Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Orange Orange Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Blue Black Black Black Pink Pink Purple Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Purple Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Purple Pink Black Black Orange Black Black\nBlack Black Black Orange Gray Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Blue Black Black Purple Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Gray Orange Black Black Brown\nBlue Black Orange Purple Black Pink Purple Black Orange Purple\nBlack Black Gray Pink Pink Pink Black Orange Black Black\nBlack Black Orange Black Pink Pink Pink Gray Black Black\nPurple Orange Black Purple Pink Black Purple Orange Black Blue\nBrown Black Black Orange Gray Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Blue Black Black Purple Brown Black Black\nBlack Black Brown Purple Black Black Blue Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Green Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Green Black Yellow Black Black Black\nBlack Black Black Blue Black Orange Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Green Black Black Black Pink Black\nBlack Black Black Black Green Brown Black Yellow Black Black\nBlue Black Brown Blue Black Blue Black Black Orange Black\nBlack Green Green Black Yellow Black Green Green Black Black\nOrange Black Black Blue Black Blue Brown Black Blue Black\nBlack Yellow Black Brown Green Black Black Black Black Black\nPink Black Black Black Green Black Yellow Black Black Black\nBlack Black Black Blue Black Orange Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Orange Black Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Green Black Black\nBlack Black Black Black Pink Gray Pink Pink Black Black\nBlack Black Black Black Gray Pink Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Purple Purple Black Black\nBlack Black Purple Gray Green Pink Purple Gray Blue Black\nBlack Black Purple Purple Gray Pink Gray Green Black Black\nBlack Black Black Pink Pink Gray Pink Pink Black Black\nBlack Black Black Green Gray Pink Gray Purple Purple Black\nBlack Black Blue Gray Purple Pink Green Gray Purple Black\nBlack Black Black Purple Purple Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Gray Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Red Purple Black Black Black\nBlack Black Black Green Orange Black Red Black Black Black\nBlack Black Black Brown Black Pink Orange Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Gray Black Black Black Blue Black Black Black\nOrange Pink Black Brown Purple Red Orange Black Black Blue\nRed Black Orange Green Red Black Pink Black Black Black\nPurple Red Blue Black Blue Orange Black Gray Black Black\nBrown Green Black Green Black Green Brown Black Black Black\nBlack Orange Blue Black Blue Red Purple Black Black Gray\nPink Black Red Green Orange Black Red Black Black Black\nOrange Red Purple Brown Black Pink Orange Blue Black Black\nBlue Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Green Black Black Black Black Black Black Black Green Green Green Black\nBlack Green Green Black Black Black Black Black Black Black Green Green Green Black\nBlack Green Green Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Black Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Green Black Black Black Green Green Black Black\nGreen Green Green Black Black Black Black Orange Orange Black Green Green Black Black\nGreen Green Green Black Black Black Black Orange Orange Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Brown Black Black Blue Yellow Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Purple Black Black Brown Brown Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Blue Black Black\nPurple Black Purple Blue Black Black Yellow Black Black Blue Brown Black\nBlack Black Black Black Brown Black Black Purple Black Black Black Yellow\n\nOutput:\nBlack Black Red Black Black Blue Blue Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Blue Black Black Red Red Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Black Black\nBlue Black Blue Blue Black Black Blue Black Black Blue Red Black\nBlack Black Black Black Red Black Black Blue Black Black Black Blue\n\n\nExample 2\nInput:\nBlack Green Black Black Green Orange Black Orange Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Purple Black Black Green Black Black Orange Purple\nBlack Black Black Purple Black Black Black Orange Black Black\nPurple Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Orange\nOrange Black Black Purple Black Black Black Purple Orange Black\n\nOutput:\nBlack Red Black Black Red Red Black Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Red Black Black Red Black Black Red Red\nBlack Black Black Red Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Red\nRed Black Black Red Black Black Black Red Red Black\n\n\nExample 3\nInput:\nPink Black Black Blue Black Blue Gray Gray Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black\nBlue Gray Black Black Black Black Black Black Black Black Pink\nYellow Black Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Gray Black Yellow Black Blue Black\nBlack Black Yellow Black Blue Blue Gray Green Pink Gray Black\nYellow Black Black Black Green Black Black Blue Black Black Pink\n\nOutput:\nRed Black Black Blue Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Black Blue Black\nBlue Blue Black Black Black Black Black Black Black Black Red\nRed Black Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Red Black Blue Black\nBlack Black Red Black Blue Blue Blue Blue Red Blue Black\nRed Black Black Black Blue Black Black Blue Black Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Blue Black\nBlack Black Purple Black Black Red Black Black Black\nBrown Black Black Black Blue Black Black Gray Black\nGray Black Black Black Black Black Purple Black Black\nBlue Black Black Black Red Brown Black Black Black\nBlack Black Black Black Black Brown Brown Blue Blue\nBlack Black Black Blue Black Black Gray Black Brown\nRed Gray Black Black Red Black Black Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Black Black Black Red Black Black\nBlack Black Black Black Black Red Black Blue Black\nBlack Black Red Black Black Red Black Black Black\nRed Black Black Black Blue Black Black Red Black\nRed Black Black Black Black Black Red Black Black\nBlue Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Red Blue Blue\nBlack Black Black Blue Black Black Red Black Red\nRed Red Black Black Red Black Black Black Red\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Yellow Gray Gray Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\n\nOutput:\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Gray Black Black Black Black Green Purple Yellow\nBlack Gray Orange Purple Black Black Black Black Gray Black\nBlack Black Green Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Red Orange Green Black\nBlack Black Black Black Black Gray Blue Red Pink Green\nRed Red Red Black Black Black Blue Gray Blue Black\nRed Red Red Black Black Black Black Orange Black Black\nRed Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red\nRed Red Red\nRed Red Red\n\n\nExample 3\nInput:\nBlack Black Black Red Red Black Black Orange Black Black\nBlack Black Black Red Red Black Brown Pink Yellow Black\nBlack Black Black Black Black Red Yellow Blue Green Green\nBlack Black Black Black Brown Blue Pink Purple Yellow Black\nBlack Black Black Black Black Green Gray Red Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red\nRed Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Red Red Black Black Black Green Blue Green Black\nBlack Red Red Black Black Blue Orange Green Blue Green\nBlack Black Black Black Black Black Pink Green Blue Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Pink Red Red Black Black Black Black\nBlack Black Gray Blue Purple Pink Green Black Black Black\nBlack Brown Orange Brown Brown Orange Black Black Black Black\nBlack Black Gray Black Yellow Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red\nRed Red\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Purple Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Purple Black Gray Gray Gray Gray Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Gray Gray Gray Gray Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Gray Gray Gray Gray Blue Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Pink Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Pink Pink Pink Gray Gray Gray Black Pink Black Black\nBlack Gray Gray Gray Gray Black Pink Black Gray Gray Gray Pink Pink Black Black\nBlack Gray Gray Gray Gray Black Black Black Gray Gray Gray Pink Pink Black Black\nBlack Gray Gray Gray Gray Green Green Black Black Pink Black Black Pink Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Gray Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black\nBlack Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Pink Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Pink Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Pink Black Pink Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Gray Black Gray Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Purple Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Purple Purple Orange Black Black Black Black\nBlack Black Blue Blue Orange Black Black Black Black Gray Purple Purple Black Black Black Black Black\nBlack Black Blue Blue Orange Orange Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Black Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange Orange Orange Brown Brown Black Orange Orange Orange Orange\nOrange Orange Yellow Yellow Black Orange Orange Orange Orange Pink Brown Brown Orange Orange Orange Orange Orange\nOrange Orange Yellow Yellow Black Black Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Orange Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Pink Pink Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Orange Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange\nOrange Gray Gray Orange Orange Orange Orange Orange Orange Black Gray Gray Orange Orange Orange\nGray Gray Gray Orange Orange Orange Orange Gray Gray Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Black Pink Pink Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Gray Orange Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Yellow Yellow Yellow Orange Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Yellow Yellow Yellow Orange Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Black Yellow Yellow Yellow Yellow Black Blue Blue Black Black Black\nBlack Blue Blue Black Yellow Yellow Yellow Yellow Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Brown Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Yellow Yellow Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Yellow Yellow Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Orange Orange Orange Orange Orange\nYellow Yellow Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Orange Red Red Red Red Orange Yellow Yellow Orange Orange Orange\nOrange Yellow Yellow Orange Red Red Red Red Orange Yellow Yellow Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Red Red Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Red Red Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Black Black Black\nBlack Black Black Green Pink Black Black Black Black Black\nBlack Black Yellow Orange Black Black Black Black Black Black\nBlack Black Red Purple Black Black Black Black Black Black\nBlack Black Black Yellow Gray Black Black Black Black Black\nBlack Black Black Black Brown Yellow Orange Black Black Black\nBlack Black Black Black Green Black Blue Black Black Black\nBlack Black Black Black Blue Brown Black Black Black Black\nBlack Pink Red Blue Black Orange Red Black Black Black\nBlack Black Black Red Gray Black Blue Black Black Black\nBlack Red Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Gray Brown Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Green Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Black Green Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Green Orange Green Pink Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Orange Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Black Purple Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Blue Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Orange Black Black Black Black\nBlack Black Black Pink Black Green Black Black Black Black\nBlack Brown Pink Yellow Black Gray Purple Black Black Black\nBlack Pink Brown Blue Black Black Red Black Black Black\nBlack Black Green Gray Black Orange Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Yellow Black Black Black\nBlack Black Yellow Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Gray Black Black Black Black Purple Orange Pink Yellow Black Black Black Black Black Black\nBlack Black Black Purple Red Green Gray Black Black Red Black Pink Black Black Black Black Black Black\nBlack Blue Red Brown Purple Brown Black Black Gray Black Orange Orange Black Black Purple Black Black Black\nBlack Black Black Black Orange Gray Black Black Green Black Black Yellow Red Black Blue Red Yellow Black\nBlack Purple Brown Orange Orange Gray Purple Black Black Gray Black Red Black Red Yellow Black Pink Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Pink Brown Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Pink Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Orange Gray Black Black Black Black Black Black Pink Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Green Green Black Black Black Black Black Black Green Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Blue Black\nBlack Black Black Black Pink Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Gray Black Black Black\nBlack Black Black Black Black Black Black Orange Black Brown Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Green Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Brown Black Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Pink Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Red Red Red Black Black Black Brown Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Brown Brown Brown Black Pink Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Yellow Black Yellow Yellow Yellow Black\nYellow Black Yellow Yellow Yellow Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black\nYellow Black Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Black\nYellow Black Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Black\nYellow Black Yellow Yellow Yellow Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Blue Brown Black Black Black Black Black\nBlack Black Black Black Brown Blue Blue Blue Brown Black Black Black Black\nBlack Black Black Black Black Brown Blue Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Blue Blue Blue Yellow Black Black Black Black\nBlack Black Black Yellow Blue Yellow Blue Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Red Blue Red Red Blue Red Black Black\nBlack Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Blue Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Red Red Blue Blue Red Red Black Black Black\nBlack Black Black Black Red Blue Blue Red Black Black Black Black\nBlack Black Black Red Blue Blue Blue Blue Red Black Black Black\nBlack Black Black Red Blue Blue Blue Blue Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Blue Gray Blue Blue Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Blue Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink\nPink Pink Pink\nPink Pink Pink\nPink Pink Pink\nPink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Brown Brown Orange Orange Orange Orange Black\nBlack Black Black Black Brown Brown Orange Orange Orange Orange Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black\nOrange Orange Orange Black Brown Brown Brown Brown Black Black Black\nOrange Orange Orange Black Black Purple Purple Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Red Red Black Blue Blue Blue Black Black\nBlack Black Black Brown Brown Blue Blue Black Black\nBlack Black Black Brown Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Blue Blue Blue\nBlack Black Black Black Black Orange Orange Blue Blue Blue\nBlack Black Black Black Black Orange Orange Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Gray Gray Black\nGray Gray Gray Black Black Orange Orange Orange\nGray Gray Gray Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown\nGray Gray Gray Black Black Brown Brown Brown\nGray Gray Gray Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Pink Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Pink Black Black Black\nBlack Black Black Black Black Pink Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Pink Black Black Black\nBlack Black Black Black Black Pink Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Red Red Red Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Red Red Red Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Black Green Black Black Black\nBlack Black Green Green Green Green Blue Blue Black Black\nBlack Black Green Green Green Green Blue Blue Black Black\nBlack Black Green Green Green Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Black Green Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black\nBlack Black Red Red Red Black Black Black\nBlack Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nRed Red Red Black Black Black Black\nRed Red Red Black Black Black Black\nRed Black Red Black Black Black Black\nBlack Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Blue Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Red\nBlack Black Black Black Black Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Red Black Black Blue Black Black Black\nBlack Black Black Red Black Black Blue Black Black Black\nBlack Red Red Red Red Red Blue Black Blue Black\nBlack Black Black Red Blue Black Black Blue Blue Blue\nBlack Black Blue Red Red Black Black Black Blue Black\nBlack Blue Blue Blue Black Black Black Black Black Red\nBlack Black Blue Black Black Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Red Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Red Black Black Black Black Blue Black\nBlack Black Black Red Black Black Black Blue Blue Blue\nBlack Black Black Red Black Black Black Black Blue Black\nRed Red Red Red Red Red Red Black Blue Black\nBlack Black Black Red Black Black Black Blue Blue Blue\nBlack Black Black Red Black Black Black Black Blue Black\nBlue Black Black Red Black Black Black Black Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Red Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\n\nOutput:\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Red Black Black Black Black Black Red\nRed Black Black Red Black Black Black Black Black Black\nBlack Red Red Red Red Red Blue Black Red Black\nBlack Black Black Red Black Blue Black Red Red Red\nBlack Black Black Red Black Black Blue Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Black Black Blue Black\nBlack Black Red Black Black Black Black Black Red Red\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Brown Brown Black Black Purple Purple Purple Purple Black Black Black\nBlack Brown Brown Brown Black Purple Purple Purple Purple Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Pink Pink\nBlack Pink Pink Black Black Black Brown Brown Black Pink Pink Pink\nPink Pink Pink Black Black Green Brown Brown Pink Pink Pink Pink\nPink Pink Pink Pink Green Green Brown Brown Pink Pink Pink Pink\nBlack Black Pink Black Black Green Brown Brown Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Orange Orange Black Yellow Yellow Yellow Yellow Black\nBlack Black Orange Orange Black Yellow Yellow Yellow Yellow Black\nBlack Black Orange Orange Black Red Red Red Black Black\nBlack Black Black Black Black Red Black Red Black Black\nBlack Blue Blue Blue Black Red Red Red Black Black\nBlack Blue Blue Blue Black Red Blue Red Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Green Green Black Black Black Black Blue Blue Blue Blue\nGreen Green Green Green Black Red Black Blue Blue Blue Blue\nGreen Green Green Green Red Red Red Blue Blue Blue Blue\nGreen Green Green Green Brown Red Black Black Black Black Black\nGray Black Gray Black Brown Black Purple Purple Purple Purple Black\nGray Gray Gray Brown Brown Brown Purple Purple Purple Purple Black\nGray Black Gray Black Brown Black Purple Black Black Purple Black\n\nOutput:\nGreen Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Green Black Green Black Green Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Green\nBlack Green Black Green Black Green Black Green Green Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Brown Brown Brown Brown Brown Brown Brown\nBlack Pink Pink Black Brown Brown Brown Brown Brown\nBlack Pink Pink Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Gray Black Pink Black\nBlack Black Gray Gray Black Gray Black Black Black\nBlack Gray Gray Gray Black Gray Gray Black Black\nBlack Gray Gray Gray Black Black Orange Orange Black\nBlack Black Gray Gray Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlue Black Black Black Black Black Blue Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlue Black Orange Orange Orange Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Orange Orange Orange Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Orange Orange Orange Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Orange Orange Orange Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlue Black Black Black Black Black Blue Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlue Black Blue Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Brown Brown Brown Brown Black Blue Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Blue Black Brown Brown Brown Brown Black Blue Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Blue Black Brown Brown Brown Brown Black Blue Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Blue Black Brown Brown Brown Brown Black Blue Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Blue Blue Blue Black Blue Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Blue Black Blue Blue Blue Blue Black Blue Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Blue Black Blue Blue Blue Blue Black Blue Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Blue Black Blue Blue Blue Blue Black Blue Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Gray Gray Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Gray Gray Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Gray Gray Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Blue Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Blue Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Blue Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Orange Orange Orange Orange Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Orange Orange Orange Orange Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Blue Blue Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Blue Blue Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Green\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Yellow Yellow Yellow Yellow Blue Black Orange Black\nBlack Black Yellow Yellow Yellow Yellow Blue Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Orange Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Green\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Green Green Green Green Blue Black Orange Black\nBlack Black Green Green Green Green Blue Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Orange Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Blue Pink Black Black\nBlack Black Yellow Yellow Yellow Black Red Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nGray Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nPink Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Purple Black Brown Black Brown\nBlack Black Black Purple Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Pink Black Black\nBlack Black Green Green Green Black Red Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\nGray Black Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\nPink Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Purple Black Brown Black Brown\nBlack Black Black Purple Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nPurple Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Purple Black Brown Black Black Black Black\nBlack Black Purple Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\n\nOutput:\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nPurple Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Purple Black Brown Black Black Black Black\nBlack Black Purple Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nPurple Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Brown Black Black Pink Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nOrange Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nPurple Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Brown Black Black Pink Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nOrange Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Purple Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Purple Yellow Gray Black Black Brown Purple Gray Pink Black Black Black Black\nBlack Black Black Yellow Purple Brown Purple Brown Orange Black Black Orange Brown Green Green Black Black Black Black\nBlack Black Black Orange Pink Yellow Yellow Green Orange Black Black Orange Orange Brown Orange Black Black Black Black\nBlack Black Black Yellow Pink Black Black Purple Gray Pink Pink Gray Orange Blue Pink Black Black Black Black\nBlack Black Black Black Black Black Black Purple Gray Brown Blue Gray Purple Orange Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Blue Black\nBlack Black Black Black Black Black Green Pink Orange Purple Purple Black\nBlack Black Black Black Black Black Yellow Blue Red Pink Orange Black\nBlack Black Black Black Black Black Green Pink Blue Blue Green Black\nBlack Black Gray Red Orange Brown Black Brown Pink Orange Blue Black\nBlack Black Blue Purple Brown Gray Black Orange Brown Pink Green Black\nBlack Black Brown Brown Purple Purple Black Green Yellow Yellow Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Blue Purple Yellow Black Black Black Black Black Black Black Black\nBlack Black Orange Green Purple Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Orange Purple Black Black Black\nBlack Black Black Black Green Orange Black Black Pink Orange Gray Black Black Black\nBlack Black Black Black Gray Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Green Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Black Yellow Black Blue\nBlack Black Black Blue Black Blue Black Blue Blue Blue\nBlue Black Black Black Black Blue Black Black Blue Black\nBlue Black Blue Blue Black Blue Blue Black Blue Blue\nBlack Blue Blue Blue Blue Black Black Black Blue Black\nBlack Black Black Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Blue Blue Black Black\n\nOutput:\nBlack Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Black Green Black Blue\nBlack Black Black Blue Black Blue Black Blue Blue Blue\nBlue Black Black Black Black Blue Black Black Blue Black\nBlue Black Blue Blue Black Blue Blue Black Blue Blue\nBlack Blue Blue Blue Blue Black Black Black Blue Black\nBlack Black Black Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Blue Blue Black Black\n\n\nExample 2\nInput:\nBlack Blue Blue Black Blue Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Blue Black Black Yellow Black Black Black Black\nBlue Black Black Black Black Black Blue Blue Black Blue\nBlack Black Black Black Black Blue Blue Black Blue Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Blue Black Blue Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Blue Black Black\nBlue Black Black Blue Blue Blue Black Black Blue Black\n\nOutput:\nBlack Blue Blue Black Blue Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Blue Black Black Green Black Black Black Black\nBlue Black Black Black Black Black Blue Blue Black Blue\nBlack Black Black Black Black Blue Blue Black Blue Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Blue Black Blue Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Blue Black Black\nBlue Black Black Blue Blue Blue Black Black Blue Black\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Blue Black Black Black Black Blue Blue\nBlue Black Black Blue Blue Black Yellow Blue Black Black\nBlue Black Black Blue Black Black Blue Black Blue Blue\nBlack Black Blue Black Black Blue Black Black Blue Blue\nBlue Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Blue Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue\n\nOutput:\nBlue Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Blue Black Black Black Black Blue Blue\nBlue Black Black Blue Blue Black Green Blue Black Black\nBlue Black Black Blue Black Black Blue Black Blue Blue\nBlack Black Blue Black Black Blue Black Black Blue Blue\nBlue Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Blue Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Blue Black\nBlue Black Black Black Blue Black Black Blue Black Black\nBlue Black Blue Black Yellow Blue Black Black Blue Black\nBlue Black Blue Black Black Blue Black Black Blue Blue\nBlack Blue Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Blue Black Black Blue Black Blue Black\nBlack Blue Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Blue Black\nBlue Black Black Black Blue Black Black Blue Black Black\nBlue Black Blue Black Green Blue Black Black Blue Black\nBlue Black Blue Black Black Blue Black Black Blue Blue\nBlack Blue Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Blue Black Black Blue Black Blue Black\nBlack Blue Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Blue Blue Blue Black Black Black Black Black Black\nBlack Red Red Red Red Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black\nBlack Blue Red Blue Blue Blue Blue Blue Blue Red Blue Black\nBlack Blue Red Blue Blue Blue Blue Blue Blue Red Blue Black\nBlack Blue Red Blue Blue Blue Blue Blue Blue Red Blue Black\nBlack Blue Red Blue Blue Blue Blue Blue Blue Red Blue Black\nBlack Blue Red Blue Blue Blue Blue Blue Blue Red Blue Black\nBlack Blue Red Blue Blue Blue Blue Blue Blue Red Blue Black\nBlack Blue Red Blue Blue Blue Blue Blue Blue Red Blue Black\nBlack Blue Red Blue Blue Blue Blue Blue Blue Red Blue Black\nBlack Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Gray Gray Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Gray Gray Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Gray Gray Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Gray Gray Gray Gray Brown Black Black\nBlack Black Brown Gray Gray Gray Gray Brown Black Black\nBlack Black Brown Gray Gray Gray Gray Brown Black Black\nBlack Black Brown Gray Gray Gray Gray Brown Black Black\nBlack Black Brown Gray Gray Gray Gray Brown Black Black\nBlack Black Brown Gray Gray Gray Gray Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Pink Pink Pink Pink Yellow Black Black Black Black Black Black Black Black\nYellow Pink Pink Pink Pink Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Pink Pink Pink Pink Blue Black Black Black Black Black Black Black Black\nBlue Pink Pink Pink Pink Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Pink Pink Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Pink Pink Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Pink Pink Blue Black Black Black Black Black Black Black Black Black Black\nBlue Pink Pink Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Black Purple Black Yellow Black Black Black Black Black\nYellow Black Purple Black Yellow Black Black Black Black Black\nYellow Black Purple Purple Yellow Black Black Black Black Black\nYellow Purple Purple Black Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlue Black Purple Black Blue Black Black Black Black Purple\nBlue Black Purple Black Blue Black Black Black Black Purple\nBlue Black Purple Purple Blue Black Black Black Black Purple\nBlue Purple Purple Black Blue Black Black Black Purple Purple\nBlue Blue Blue Blue Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Brown Black Black Yellow Black Black Black Black Black\nYellow Brown Black Black Yellow Black Black Black Black Black\nYellow Brown Black Black Yellow Black Black Black Black Black\nYellow Brown Brown Brown Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlue Brown Black Black Blue Black Black Black Black Black\nBlue Brown Black Black Blue Black Black Black Brown Black\nBlue Brown Black Black Blue Black Black Black Brown Black\nBlue Brown Brown Brown Blue Black Black Black Brown Black\nBlue Blue Blue Blue Blue Black Black Black Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Purple Gray Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Blue Pink Purple Red Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Blue Green Orange Orange Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Pink Orange Yellow Gray Blue Green Black Black Black Black\nBlack Orange Purple Gray Purple Black Black Black Black Purple Purple Orange Gray Gray Green Green Black Black Black Black\nOrange Orange Blue Pink Purple Red Yellow Black Black Black Red Green Blue Green Blue Green Black Black Black Black\nPurple Blue Green Orange Orange Green Green Black Black Black Yellow Green Green Green Green Blue Black Black Black Black\nGray Pink Orange Yellow Gray Blue Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Orange Gray Gray Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Green Blue Green Blue Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Green Green Green Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Purple Gray Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Blue Pink Purple Red Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Blue Green Orange Orange Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Pink Orange Yellow Gray Blue Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Orange Gray Gray Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green Blue Green Blue Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Green Green Green Green Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Purple Black Purple Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Purple Purple Purple Pink Pink Black Black Black Black Black Yellow Purple Black Purple Yellow Black Black Black\nGreen Green Green Purple Green Green Green Black Black Black Black Black Pink Pink Gray Pink Pink Black Black Black\nGreen Blue Blue Purple Blue Blue Green Black Black Black Black Pink Pink Purple Purple Purple Pink Pink Black Black\nGreen Green Pink Purple Pink Green Green Black Black Black Black Green Green Green Purple Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Blue Blue Purple Blue Blue Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Pink Purple Pink Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Purple Black Purple Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Gray Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Purple Purple Purple Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Purple Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Blue Blue Purple Blue Blue Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Pink Purple Pink Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Purple Black Purple Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Purple Purple Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Purple Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Blue Blue Purple Blue Blue Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Pink Purple Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Purple Brown Orange Black Black Orange Orange Purple Brown Orange Black\nBlack Black Black Black Black Black Black Blue Orange Brown Brown Purple Black Black Blue Orange Brown Brown Purple Black\nBlack Black Black Black Black Black Black Blue Gray Green Brown Purple Purple Black Blue Gray Green Brown Purple Purple\nBlack Black Black Black Black Black Black Gray Brown Red Red Red Blue Black Gray Brown Red Red Red Blue\nBlack Black Black Black Black Black Black Gray Gray Red Blue Gray Purple Black Gray Gray Red Blue Gray Purple\nBlack Orange Orange Purple Brown Orange Black Gray Gray Yellow Gray Pink Black Black Gray Gray Yellow Gray Pink Black\nBlack Blue Orange Brown Brown Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Gray Green Brown Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Brown Red Red Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Red Blue Gray Purple Black Black Black Black Black Black Orange Orange Purple Brown Orange Black Black\nBlack Gray Gray Yellow Gray Pink Black Black Black Black Black Black Black Blue Orange Brown Brown Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Gray Green Brown Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Brown Red Red Red Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Red Blue Gray Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Gray Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Purple Brown Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Orange Brown Brown Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Gray Green Brown Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Brown Red Red Red Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Red Blue Gray Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Yellow Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Blue Purple Blue Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Blue Purple Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Yellow Red Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Yellow Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Purple Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Blue Purple Blue Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Blue Purple Blue Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Blue Purple Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue Yellow Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Yellow Red Yellow Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Purple Blue Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Blue Purple Blue Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Blue Purple Blue Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Blue Purple Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Yellow Red Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Yellow Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Purple Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Blue Purple Blue Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Green Green Green Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Green Green Green Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Green Green Green Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Green Green Green Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Green Green Green Blue Blue Blue Blue Green Green Green Green Black\nBlack Black Black Black Green Green Green Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Green Green Green Green Black Black Green Green Green Green\nBlack Black Black Black Green Green Green Green Black Black Green Green Green Green\nBlack Black Black Black Green Green Green Green Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Green Green Green Green Black Black Green Green Green Green\nBlack Black Black Black Green Green Green Green Blue Blue Green Green Green Green\nBlack Black Black Black Green Green Green Green Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Orange Black Yellow Black Orange Black Black Black Black\nBlack Gray Black Orange Black Orange Black Black Black Black\nBlack Yellow Orange Purple Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Black Yellow Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Orange Yellow Gray Orange Black Black Black Black\nBlack Gray Orange Orange Orange Orange Black Black Black Black\nBlack Yellow Orange Purple Orange Yellow Black Black Black Black\nBlack Orange Orange Orange Orange Gray Black Black Black Black\nBlack Orange Gray Yellow Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Black Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Black Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Pink Black Purple Red Black Black Black Black Black\nBlack Pink Purple Green Black Pink Black Black Black Black\nBlack Black Red Purple Black Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Pink Red Purple Red Black Black Black Black Black\nBlack Pink Purple Green Purple Pink Black Black Black Black\nBlack Black Red Purple Red Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Gray Black\nBlack Black Black Black Black Gray Purple Black Purple Black\nBlack Black Black Black Black Black Purple Yellow Black Purple\nBlack Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Gray Purple Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Purple Gray Black\nBlack Black Black Black Black Gray Purple Purple Purple Blue\nBlack Black Black Black Black Purple Purple Yellow Purple Purple\nBlack Black Black Black Black Blue Purple Purple Purple Gray\nBlack Black Black Black Black Black Gray Purple Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Pink Pink Black\nPurple Purple Black Black Black Black Black Black Black Pink Pink Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Brown Brown Brown Black\nPurple Purple Black Black Black Black Black Black Brown Brown Brown Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nRed Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nRed Black Black Blue Blue Black Black Black Black Black\nRed Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Orange Orange\nBlack Black Black Black Black Black Blue Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Gray Black Black\nBrown Brown Black Black Black Black Gray Black Black\nBrown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Gray Black Black\nBrown Brown Black Black Black Black Gray Black Black\nBrown Brown Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Red Red Red Red Black Black\nBlack Black Orange Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Red\nBlack Black Black Black Red\nBlack Black Black Black Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Brown Brown Brown Black Black Black Gray Gray Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Brown Brown Brown Black\nBlack Brown Brown Brown Black\nBlack Brown Brown Brown Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Gray\nBlack Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Purple Purple Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Pink\nBlack Black Black Black Pink\nBlack Black Black Black Pink\nBlack Black Black Black Pink\nBlack Black Black Black Pink\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Blue Blue Black Black Black Black Black Red Red Red Red Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Red Red Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"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.",
"role": "system"
},
{
"content": "Given 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 represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Green Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Blue Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Orange Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Green Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Purple Green Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Green Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Red Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Pink Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Pink Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Green Black Brown Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Orange Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |