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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 Pink Yellow Pink Brown Black Black\nBlack Black Purple Gray Pink Orange Black Black\nBlack Black Brown Green Green Orange Black Black\nBlack Black Orange Brown Orange Gray 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 Black Purple Pink Purple Gray Black Black\nBlack Black Orange Red Purple Brown Black Black\nBlack Black Gray Blue Blue Brown Black Black\nBlack Black Brown Gray Brown Red 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 Yellow Blue Black Black Black Black\nBlack Black Black Black Red 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\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 Pink Yellow Black Black Black Black\nBlack Black Black Black Green 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\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 Yellow Yellow Black Black Black Black\nBlack Black Black Red Green 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 Pink Pink Black Black Black Black\nBlack Black Black Green 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\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 Pink Gray Green Black Black Black\nBlack Black Black Pink Brown Gray Black Black Black\nBlack Black Black Brown Blue Pink 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 Purple Red Blue Black Black Black\nBlack Black Black Purple Gray Red Black Black Black\nBlack Black Black Gray Yellow Purple 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"
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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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Blue Black Black Black Orange Black Black\nBlack Black Pink Black Red Black Black Brown Black Black Black Black\nBlack Pink Orange Black Orange Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Orange Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Pink\nBlack Black Black Purple Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Blue Blue Blue Blue Orange Orange Orange Orange Orange\nPurple Pink Blue Red Blue Blue Brown Orange Orange Orange Orange\nPink Orange Red Orange Blue Yellow Yellow Yellow Orange Orange Orange\nPurple Pink Red Yellow Blue Yellow Brown Brown Orange Orange Orange\nPink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange\nPink Orange Orange Yellow Yellow Yellow Yellow Yellow Green Yellow Green\nPink Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green\nOrange Orange Orange Yellow Orange Yellow Yellow Green Green Green Pink\nOrange Orange Purple Orange Brown Orange Yellow Green Green Green Pink\n\n\nExample 2\nInput:\nRed Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Orange Black\nBlack Green Black Black Black Green Green Green Black Black Black Black\nBlack Yellow Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Brown Brown Brown Brown Brown Blue Blue Orange Orange\nRed Yellow Yellow Brown Brown Blue Blue Blue Blue Orange Orange\nYellow Yellow Yellow Blue Blue Blue Blue Blue Orange Orange Orange\nYellow Yellow Yellow Green Green Blue Green Green Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Orange Orange\nGreen Green Green Green Green Green Green Green Orange Orange Orange\nYellow Yellow Green Green Green Green Green Green Green Orange Orange\nYellow Gray Gray Gray Green Green Green Green Green Green Orange\nBrown Brown Gray Gray Green Green Green Green Green Green Green\nBrown Blue Blue Blue Blue Green Green Green Green Green Green\nYellow Yellow Blue Blue Blue Blue Green Green Green Green Green\nPurple Yellow Blue Blue Blue Blue Blue Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Red Black Pink Black Black Black Black Black Black Black Black\nPink Black Black Yellow Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black\nOrange Black Brown Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Pink Gray Gray Gray Pink Pink Pink Pink Brown Brown\nRed Red Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown\nRed Red Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown\nRed Red Pink Pink Pink Gray Green Green Pink Pink Pink Brown\nPink Red Yellow Yellow Yellow Green Green Green Green Green Green Green\nPink Pink Yellow Yellow Green Green Green Green Green Green Green Green\nOrange Brown Brown Green Green Green Green Green Green Green Green Green\nOrange Brown Brown Brown Green Green Green Green Orange Orange Orange Blue\nOrange Brown Brown Brown Green Green Green Orange Orange Blue Blue Blue\nOrange Blue Blue Blue Blue Green Orange Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Orange Gray Black Black Black Black Black\nBlack Black Black Black Orange Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Purple Pink Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Yellow 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 Blue 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 Gray Gray Orange Gray Gray Gray\nOrange Orange Orange Brown Orange Brown Brown Brown Brown\nOrange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Brown Brown Brown Pink Pink Gray\nBrown Gray Gray Gray Gray Gray Pink Gray Gray\nGray Gray Gray Purple Gray Pink Purple Pink Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Yellow Gray Gray Gray Gray Gray Gray Gray\nYellow Gray Blue Blue Blue Blue Blue Gray Gray\nYellow Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Blue 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 Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Black Black Black\n\nOutput:\nGray Gray Black Black Black Gray Gray Gray\nGray Gray Black Black Black Gray Gray Gray\nGray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Black Gray Gray Gray\nGray Gray Black Black Black Gray Gray Gray\nGray Gray Black Black Black Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink\nBlack Purple Purple Pink Pink Pink Pink\nBlack Purple Purple Pink Pink Pink Pink\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Black Black\nGray Gray Gray Black Black Black Black\nGray Black Black Black Black Black Black\nGray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Orange Orange\nBlack Gray Gray Gray Gray Orange Orange\nBlack Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Gray Gray\nGray Black Black Black Black Gray Gray\nGray Black Black Black Black Black Black\nGray Black Black Black Black Black Black\nGray Gray 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\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray 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 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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Gray Gray Gray Gray Gray\nGray Black Black Black Gray Gray Gray Gray Gray\nGray Black Black Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray 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:\nPurple 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 Purple Black Black Purple Black\nBlack Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Purple\nPurple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Purple Purple Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nOrange Black Orange Orange Black Black Orange Black Black Orange\nOrange Black Orange Orange Orange Orange Orange Black Orange Orange\nOrange Orange Black Orange Black Orange Orange Orange Black Orange\nOrange Orange Black Black Orange Orange Black Orange Orange Black\nBlack Black Orange Orange Orange Black Black Black Orange Black\nBlack Black Orange Black Orange Orange Orange Black Black Orange\nOrange Black Black Orange Orange Orange Orange Black Black Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Black Black Black Black Gray Black Black Black Black Black\nGray Gray Black Black Gray Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Gray\nGray Black Black Gray Black Black Black Gray Gray Black Black\nGray Gray Black Black Black Black Black Gray Gray Black Gray\nGray Black Gray Gray Gray Black Black Black Gray Black Gray\nBlack Black Gray Gray Gray Gray Gray Black Black Gray Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Black Pink Black Black Black Pink\nBlack Pink Black Black Black Pink Black Pink Black\nPink Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Pink\nBlack Pink Black Black Black Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Pink\nPink Black Pink Black Pink Black Black Black Pink\nBlack Pink Pink Pink Pink Pink Pink Black Black\nBlack Pink Black Pink Pink Pink Black Black Pink\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"
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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:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\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\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:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green 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 Black Black Black Black Black Black Black Black Black Black\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\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green 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 Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\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\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:\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green 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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray 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 Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray 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 Black Black Black Black Black Black Black Black\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\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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray 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 Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black\nBlack 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 Black\nBlack 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\nBlack Black Black 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 Blue Blue Black Black Black\nBlack 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 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:\nRed Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Red 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\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black 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\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 Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black\nBlack Black 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\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\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Blue Blue Black Black Black Blue Blue Black Black\nBlack Black Black 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\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Black Black Red 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 Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\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 Black Black Black\nBlack Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Black Black Red 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 Blue Blue Blue Yellow\nBlack Blue Blue Black Black Yellow\nBlack Blue Blue Black Black Black\nBlack Green Blue Black Black Black\nBrown Green Black Black Black Black\nPink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Black Black Black Black\nBlack Pink Pink Black Black Black\nBlack Pink Pink Black Black Black\nBlack Pink Pink Black Black Pink\nBlack Black Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Pink Green Pink Black Black\nBlack Pink Pink Green Pink Pink Black\nBlue Pink Purple Green Purple Pink Blue\nPurple Yellow Purple Green Purple Yellow Purple\nOrange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Black Black\n\n\nExample 3\nInput:\nYellow Yellow Blue Purple Green Orange Blue\nYellow Blue Blue Brown Green Black Blue\nBlack Black Black Red Green Black Blue\nYellow Blue Blue Brown Green Black Blue\nYellow Yellow Blue Purple Green Orange Blue\nGray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Gray\nBlack Black Black Gray Gray Black Gray\nGray Gray Gray Gray Gray Black Gray\nGray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Blue\nBlack Black Blue Black Blue\nBlue Blue Blue Blue Yellow\nPink Pink Pink Pink Pink\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\nBlack Black Pink 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 Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Gray Black Gray 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 Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Gray Yellow Black\nBlack Black Black Black Yellow Yellow Gray Gray Yellow Black\nBlack Black Gray Black Gray Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Yellow Black\nBlack Yellow Yellow Black Yellow Black Black Black Yellow Black\nBlack Gray Black Black Yellow Black Black Black Yellow Black\nBlack Yellow Black Gray Yellow Black Black Black Yellow Black\nBlack Yellow Black Black Yellow Black Black Black Yellow Black\nBlack Yellow Black Black Yellow Black Black Black Yellow 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 Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Gray Yellow Black Black Black Black Black\nBlack Gray Black Black Yellow Black Black Black Black Black\nBlack Black Gray Black Yellow Black Black Black Black Black\nBlack Gray Black Gray Yellow Black Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Gray Black Black Black\nBlack Black Black Gray Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Yellow Black Yellow Black Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Gray Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Gray Yellow Yellow Yellow Black Black Black Black\nBlack Gray Black Gray Black Yellow Black Black Black Black\nBlack Black Black Yellow Gray Yellow Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Gray Black Black\nBlack Black Black Yellow Black Yellow Black Yellow Yellow Black\nBlack Black Black Yellow Black Yellow Black Gray Black Black\nBlack Black Black Yellow Black Yellow Black Yellow 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 Gray Black Gray Black\nBlack Black Gray Gray Black Gray Black Black Black Black\nBlack Black Black Gray 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 Gray Black Black Black Black\nBlack Yellow Yellow Black Black Yellow 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 Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Gray Black Gray Black\nBlack Yellow Gray Gray Black Gray Black Black Black Black\nBlack Yellow Yellow Gray Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Gray Black Black Black Black\nBlack Yellow Yellow Black Black Yellow 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 Purple Black Black Black\nBlack Black Black Black Pink Black Black Black Black Purple Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Purple Purple Purple Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Yellow Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Pink Pink\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Pink Pink\nBlack Black Black Brown Brown Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Pink Black Black Black Black Purple Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Purple Purple Purple Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Green Green Black Black Black Black Yellow Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Pink Pink\nBlack Black Green Green Green Green Black Black Black Black Black Pink Pink\nBlack Black Black Green Green Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Red Red Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Red Red Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Red Red Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Blue Blue Black Black Black Black\nBlack Black Orange Black Black Blue Blue Blue Blue Black Black Black\nBlack Orange Orange Black Black Blue Blue Blue Blue 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 Green Green Green Green\nBlack Red Red Black Black Black Black Black Green Green Green Green\nBlack Red Red Black Black Black Black Black Green Green Green Green\nBlack Red Red Black Black Black Black Black Green Green Green Green\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Blue Blue Black Black Black Black\nBlack Black Orange Black Black Blue Blue Blue Blue Black Black Black\nBlack Orange Orange Black Black Blue Blue Blue Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Purple Black Black Black\nBlack Black Red Red Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Green Green Green Black Black Black Purple Purple Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Gray Gray Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Purple Black Black Black\nBlack Black Green Green Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Green Green Green Black Black Black Purple Purple Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Gray Gray Black\nBlack Black Black Black Black Yellow 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 Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray 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 Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown 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 Black Black Brown Brown 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 Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray 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 Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green 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 Black Black Brown Brown 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 Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack 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 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 Purple\nBlack Black Black Black Black Black Purple Purple\nBlack Black Black Black Purple Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple\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 Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Black Orange Orange 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:\nOrange Orange Black Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nBlack Orange Orange Orange Black\nBlack Orange Orange Orange Black\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Black Pink Black Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Black Pink Pink 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\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 Pink Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink 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:\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nGreen Green Green Green Black Black Orange Orange Orange Orange Black Black Black Purple Purple Purple Purple\nGreen Green Green Green 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 Purple Purple Purple Purple\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\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 Red Red Red Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Red Red Red 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 Black\n\nOutput:\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nRed Red Red Red Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nRed Red Red Red Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\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 Yellow Yellow Yellow Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Red Red Red Red 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 Blue Blue Blue Black Black Black\nBlack Black Green Green Green Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Blue Blue Blue\nPink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Black Blue Blue Blue\nPink Pink Pink 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\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Red Red Red Black Black Black Black Red Red Red Black Black Black\nBlack Black Red Red Red 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\nBlack Black 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 Red Red Red\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Red Red Red\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Red Red Red\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow 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 Brown Brown Brown Brown Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Brown Brown Brown Brown Black Black Black Green Green Green Black Black Pink Pink Pink\nBlack Brown Brown Brown Brown Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nGreen Green Green Black Blue Blue Blue Black Black Black Black Black Black Black Pink Pink\nGreen Green Green Black Blue Blue Blue Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Blue Blue Blue Black Black Purple Purple Purple Purple Black Pink Pink\nBlack Black Black Black Blue Blue Blue Black Black Purple Purple Purple Purple Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nRed Red Red Black Red Red Red Black Black Black Black Black Black Black Yellow Yellow\nRed Red Red Black Red Red Red Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Red Red Red Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow\nBlack Black Black Black Red Red Red Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow\nBlack 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\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 Yellow Yellow Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Orange Orange 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\nBrown Brown Brown Brown Black Black Black Black Black Black Blue Blue Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Blue Blue Black Black\nBrown Brown Brown Brown Black Black Brown Brown Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Orange Orange Black Black Black\nBlack Green Green Green Green Black Black Black Black Orange Orange Black Black Black\nBlack Green 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\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 Yellow Yellow Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Yellow Yellow 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\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Red Red Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Red Red Red Red Black Black Black Black Yellow Yellow Black Black Black\nBlack 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\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 Purple Purple Yellow Yellow Pink Pink Pink Pink Red Red Blue Blue\nOrange Orange Orange Orange Purple Purple Yellow Yellow Pink Pink Pink Pink Red Red Blue Blue\nPink Pink Orange Orange Red Red Gray Gray Pink Pink Blue Blue Brown Brown Brown Brown\nPink Pink Orange Orange Red Red Gray Gray Pink Pink Blue Blue Brown Brown Brown Brown\nYellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple Green Green Red Red Gray Gray\nYellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple Green Green Red Red Gray Gray\nPink Pink Orange Orange Orange Orange Purple Purple Gray Gray Purple Purple Brown Brown Pink Pink\nPink Pink Orange Orange Orange Orange Purple Purple Gray Gray Purple Purple Brown Brown Pink Pink\nBrown Brown Gray Gray Green Green Brown Brown Brown Brown Brown Brown Red Red Blue Blue\nBrown Brown Gray Gray Green Green Brown Brown Brown Brown Brown Brown Red Red Blue Blue\nPurple Purple Orange Orange Orange Orange Orange Orange Blue Blue Purple Purple Purple Purple Blue Blue\nPurple Purple Orange Orange Orange Orange Orange Orange Blue Blue Purple Purple Purple Purple Blue Blue\nGray Gray Blue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Purple Purple Yellow Yellow\nGray Gray Blue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Purple Purple Yellow Yellow\nPink Pink Pink Pink Purple Purple Yellow Yellow Purple Purple Yellow Yellow Orange Orange Purple Purple\nPink Pink Pink Pink Purple Purple Yellow Yellow Purple Purple Yellow Yellow Orange Orange Purple Purple\nOrange Orange Gray Gray Green Green Green Green Yellow Yellow Red Red Pink Pink Blue Blue\nOrange Orange Gray Gray Green Green Green Green Yellow Yellow Red Red Pink Pink Blue Blue\nBrown Brown Purple Purple Green Green Orange Orange Yellow Yellow Gray Gray Red Red Blue Blue\nBrown Brown Purple Purple Green Green Orange Orange Yellow Yellow Gray Gray Red Red Blue Blue\nGreen Green Orange Orange Green Green Purple Purple Gray Gray Pink Pink Orange Orange Orange Orange\nGreen Green Orange Orange Green Green Purple Purple Gray Gray Pink Pink Orange Orange Orange Orange\nGreen Green Yellow Yellow Purple Purple Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Yellow Yellow Purple Purple Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\n\nOutput:\nPink Pink Pink Pink Purple Purple Yellow Yellow Pink Pink Pink Pink Red Red Blue Blue\nPink Pink Pink Pink Purple Purple Yellow Yellow Pink Pink Pink Pink Red Red Blue Blue\nPink Pink Pink Pink Red Red Gray Gray Pink Pink Blue Blue Brown Brown Brown Brown\nPink Pink Pink Pink Red Red Gray Gray Pink Pink Blue Blue Brown Brown Brown Brown\nYellow Yellow Brown Brown Pink Pink Brown Brown Purple Purple Green Green Red Red Gray Gray\nYellow Yellow Brown Brown Pink Pink Brown Brown Purple Purple Green Green Red Red Gray Gray\nPink Pink Pink Pink Pink Pink Purple Purple Gray Gray Purple Purple Brown Brown Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Gray Gray Purple Purple Brown Brown Pink Pink\nBrown Brown Gray Gray Green Green Brown Brown Brown Brown Brown Brown Red Red Blue Blue\nBrown Brown Gray Gray Green Green Brown Brown Brown Brown Brown Brown Red Red Blue Blue\nPurple Purple Pink Pink Pink Pink Pink Pink Blue Blue Purple Purple Purple Purple Blue Blue\nPurple Purple Pink Pink Pink Pink Pink Pink Blue Blue Purple Purple Purple Purple Blue Blue\nGray Gray Blue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Purple Purple Yellow Yellow\nGray Gray Blue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Purple Purple Yellow Yellow\nPink Pink Pink Pink Purple Purple Yellow Yellow Purple Purple Yellow Yellow Pink Pink Purple Purple\nPink Pink Pink Pink Purple Purple Yellow Yellow Purple Purple Yellow Yellow Pink Pink Purple Purple\nPink Pink Gray Gray Green Green Green Green Yellow Yellow Red Red Pink Pink Blue Blue\nPink Pink Gray Gray Green Green Green Green Yellow Yellow Red Red Pink Pink Blue Blue\nBrown Brown Purple Purple Green Green Pink Pink Yellow Yellow Gray Gray Red Red Blue Blue\nBrown Brown Purple Purple Green Green Pink Pink Yellow Yellow Gray Gray Red Red Blue Blue\nGreen Green Pink Pink Green Green Purple Purple Gray Gray Pink Pink Pink Pink Pink Pink\nGreen Green Pink Pink Green Green Purple Purple Gray Gray Pink Pink Pink Pink Pink Pink\nGreen Green Yellow Yellow Purple Purple Gray Gray Yellow Yellow Pink Pink Brown Brown Purple Purple\nGreen Green Yellow Yellow Purple Purple Gray Gray Yellow Yellow Pink Pink Brown Brown Purple Purple\n\n\nExample 2\nInput:\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Blue Blue Orange Orange Orange Orange\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Blue Blue Orange Orange Orange Orange\nBlue Blue Purple Purple Blue Blue Blue Blue Purple Purple Red Red Orange Orange\nBlue Blue Purple Purple Blue Blue Blue Blue Purple Purple Red Red Orange Orange\nRed Red Brown Brown Orange Orange Purple Purple Red Red Pink Pink Brown Brown\nRed Red Brown Brown Orange Orange Purple Purple Red Red Pink Pink Brown Brown\nGreen Green Gray Gray Brown Brown Purple Purple Purple Purple Orange Orange Brown Brown\nGreen Green Gray Gray Brown Brown Purple Purple Purple Purple Orange Orange Brown Brown\nPink Pink Brown Brown Pink Pink Pink Pink Gray Gray Yellow Yellow Purple Purple\nPink Pink Brown Brown Pink Pink Pink Pink Gray Gray Yellow Yellow Purple Purple\nBlue Blue Brown Brown Green Green Orange Orange Pink Pink Brown Brown Purple Purple\nBlue Blue Brown Brown Green Green Orange Orange Pink Pink Brown Brown Purple Purple\nGray Gray Purple Purple Green Green Blue Blue Gray Gray Gray Gray Purple Purple\nGray Gray Purple Purple Green Green Blue Blue Gray Gray Gray Gray Purple Purple\nRed Red Purple Purple Yellow Yellow Green Green Yellow Yellow Gray Gray Red Red\nRed Red Purple Purple Yellow Yellow Green Green Yellow Yellow Gray Gray Red Red\nOrange Orange Brown Brown Yellow Yellow Red Red Purple Purple Orange Orange Yellow Yellow\nOrange Orange Brown Brown Yellow Yellow Red Red Purple Purple Orange Orange Yellow Yellow\n\nOutput:\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Blue Blue Orange Orange Orange Orange\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Blue Blue Orange Orange Orange Orange\nBlue Blue Pink Pink Blue Blue Blue Blue Pink Pink Red Red Orange Orange\nBlue Blue Pink Pink Blue Blue Blue Blue Pink Pink Red Red Orange Orange\nRed Red Brown Brown Orange Orange Pink Pink Red Red Pink Pink Brown Brown\nRed Red Brown Brown Orange Orange Pink Pink Red Red Pink Pink Brown Brown\nGreen Green Gray Gray Brown Brown Pink Pink Pink Pink Orange Orange Brown Brown\nGreen Green Gray Gray Brown Brown Pink Pink Pink Pink Orange Orange Brown Brown\nPink Pink Brown Brown Pink Pink Pink Pink Gray Gray Yellow Yellow Pink Pink\nPink Pink Brown Brown Pink Pink Pink Pink Gray Gray Yellow Yellow Pink Pink\nBlue Blue Brown Brown Green Green Orange Orange Pink Pink Brown Brown Pink Pink\nBlue Blue Brown Brown Green Green Orange Orange Pink Pink Brown Brown Pink Pink\nGray Gray Pink Pink Green Green Blue Blue Gray Gray Gray Gray Pink Pink\nGray Gray Pink Pink Green Green Blue Blue Gray Gray Gray Gray Pink Pink\nRed Red Pink Pink Yellow Yellow Green Green Yellow Yellow Gray Gray Red Red\nRed Red Pink Pink Yellow Yellow Green Green Yellow Yellow Gray Gray Red Red\nOrange Orange Brown Brown Yellow Yellow Red Red Pink Pink Orange Orange Yellow Yellow\nOrange Orange Brown Brown Yellow Yellow Red Red Pink Pink Orange Orange Yellow Yellow\n\n\nExample 3\nInput:\nGray Gray Gray Gray Green Green Brown Brown Orange Orange Yellow Yellow Gray Gray\nGray Gray Gray Gray Green Green Brown Brown Orange Orange Yellow Yellow Gray Gray\nBrown Brown Pink Pink Orange Orange Yellow Yellow Purple Purple Blue Blue Blue Blue\nBrown Brown Pink Pink Orange Orange Yellow Yellow Purple Purple Blue Blue Blue Blue\nYellow Yellow Blue Blue Gray Gray Brown Brown Red Red Orange Orange Green Green\nYellow Yellow Blue Blue Gray Gray Brown Brown Red Red Orange Orange Green Green\nYellow Yellow Purple Purple Red Red Pink Pink Brown Brown Yellow Yellow Blue Blue\nYellow Yellow Purple Purple Red Red Pink Pink Brown Brown Yellow Yellow Blue Blue\nRed Red Yellow Yellow Yellow Yellow Blue Blue Green Green Brown Brown Gray Gray\nRed Red Yellow Yellow Yellow Yellow Blue Blue Green Green Brown Brown Gray Gray\nGreen Green Orange Orange Pink Pink Gray Gray Blue Blue Brown Brown Pink Pink\nGreen Green Orange Orange Pink Pink Gray Gray Blue Blue Brown Brown Pink Pink\nBlue Blue Green Green Purple Purple Green Green Green Green Pink Pink Brown Brown\nBlue Blue Green Green Purple Purple Green Green Green Green Pink Pink Brown Brown\nOrange Orange Purple Purple Orange Orange Gray Gray Yellow Yellow Purple Purple Yellow Yellow\nOrange Orange Purple Purple Orange Orange Gray Gray Yellow Yellow Purple Purple Yellow Yellow\nPurple Purple Blue Blue Gray Gray Blue Blue Green Green Blue Blue Pink Pink\nPurple Purple Blue Blue Gray Gray Blue Blue Green Green Blue Blue Pink Pink\nPink Pink Blue Blue Pink Pink Blue Blue Blue Blue Orange Orange Pink Pink\nPink Pink Blue Blue Pink Pink Blue Blue Blue Blue Orange Orange Pink Pink\nOrange Orange Brown Brown Purple Purple Purple Purple Yellow Yellow Green Green Purple Purple\nOrange Orange Brown Brown Purple Purple Purple Purple Yellow Yellow Green Green Purple Purple\n\nOutput:\nGray Gray Gray Gray Green Green Brown Brown Orange Orange Yellow Yellow Gray Gray\nGray Gray Gray Gray Green Green Brown Brown Orange Orange Yellow Yellow Gray Gray\nBrown Brown Pink Pink Orange Orange Yellow Yellow Purple Purple Pink Pink Pink Pink\nBrown Brown Pink Pink Orange Orange Yellow Yellow Purple Purple Pink Pink Pink Pink\nYellow Yellow Pink Pink Gray Gray Brown Brown Red Red Orange Orange Green Green\nYellow Yellow Pink Pink Gray Gray Brown Brown Red Red Orange Orange Green Green\nYellow Yellow Purple Purple Red Red Pink Pink Brown Brown Yellow Yellow Pink Pink\nYellow Yellow Purple Purple Red Red Pink Pink Brown Brown Yellow Yellow Pink Pink\nRed Red Yellow Yellow Yellow Yellow Pink Pink Green Green Brown Brown Gray Gray\nRed Red Yellow Yellow Yellow Yellow Pink Pink Green Green Brown Brown Gray Gray\nGreen Green Orange Orange Pink Pink Gray Gray Pink Pink Brown Brown Pink Pink\nGreen Green Orange Orange Pink Pink Gray Gray Pink Pink Brown Brown Pink Pink\nPink Pink Green Green Purple Purple Green Green Green Green Pink Pink Brown Brown\nPink Pink Green Green Purple Purple Green Green Green Green Pink Pink Brown Brown\nOrange Orange Purple Purple Orange Orange Gray Gray Yellow Yellow Purple Purple Yellow Yellow\nOrange Orange Purple Purple Orange Orange Gray Gray Yellow Yellow Purple Purple Yellow Yellow\nPurple Purple Pink Pink Gray Gray Pink Pink Green Green Pink Pink Pink Pink\nPurple Purple Pink Pink Gray Gray Pink Pink Green Green Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Pink Pink\nOrange Orange Brown Brown Purple Purple Purple Purple Yellow Yellow Green Green Purple Purple\nOrange Orange Brown Brown Purple Purple Purple Purple Yellow Yellow Green Green Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Red Red Pink Pink Purple Purple Brown Brown Green Green Gray Gray Gray Gray Red Red Red Red Gray Gray Green Green\nYellow Yellow Red Red Pink Pink Purple Purple Brown Brown Green Green Gray Gray Gray Gray Red Red Red Red Gray Gray Green Green\nGray Gray Gray Gray Gray Gray Blue Blue Yellow Yellow Yellow Yellow Green Green Orange Orange Orange Orange Yellow Yellow Red Red Pink Pink\nGray Gray Gray Gray Gray Gray Blue Blue Yellow Yellow Yellow Yellow Green Green Orange Orange Orange Orange Yellow Yellow Red Red Pink Pink\nPurple Purple Orange Orange Purple Purple Yellow Yellow Yellow Yellow Blue Blue Brown Brown Pink Pink Brown Brown Orange Orange Red Red Purple Purple\nPurple Purple Orange Orange Purple Purple Yellow Yellow Yellow Yellow Blue Blue Brown Brown Pink Pink Brown Brown Orange Orange Red Red Purple Purple\nBlue Blue Pink Pink Green Green Blue Blue Gray Gray Blue Blue Pink Pink Brown Brown Pink Pink Blue Blue Green Green Pink Pink\nBlue Blue Pink Pink Green Green Blue Blue Gray Gray Blue Blue Pink Pink Brown Brown Pink Pink Blue Blue Green Green Pink Pink\nGreen Green Green Green Purple Purple Pink Pink Red Red Blue Blue Yellow Yellow Blue Blue Brown Brown Pink Pink Red Red Brown Brown\nGreen Green Green Green Purple Purple Pink Pink Red Red Blue Blue Yellow Yellow Blue Blue Brown Brown Pink Pink Red Red Brown Brown\nPurple Purple Pink Pink Gray Gray Green Green Pink Pink Green Green Pink Pink Orange Orange Blue Blue Purple Purple Gray Gray Blue Blue\nPurple Purple Pink Pink Gray Gray Green Green Pink Pink Green Green Pink Pink Orange Orange Blue Blue Purple Purple Gray Gray Blue Blue\nPurple Purple Pink Pink Orange Orange Gray Gray Gray Gray Blue Blue Pink Pink Pink Pink Purple Purple Blue Blue Green Green Gray Gray\nPurple Purple Pink Pink Orange Orange Gray Gray Gray Gray Blue Blue Pink Pink Pink Pink Purple Purple Blue Blue Green Green Gray Gray\nRed Red Gray Gray Purple Purple Gray Gray Blue Blue Red Red Red Red Red Red Purple Purple Purple Purple Yellow Yellow Gray Gray\nRed Red Gray Gray Purple Purple Gray Gray Blue Blue Red Red Red Red Red Red Purple Purple Purple Purple Yellow Yellow Gray Gray\nPink Pink Green Green Purple Purple Pink Pink Yellow Yellow Green Green Brown Brown Purple Purple Red Red Gray Gray Brown Brown Yellow Yellow\nPink Pink Green Green Purple Purple Pink Pink Yellow Yellow Green Green Brown Brown Purple Purple Red Red Gray Gray Brown Brown 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 Red Red Pink Pink Purple Purple Brown Brown Green Green Pink Pink Pink Pink Red Red Red Red Pink Pink Green Green\nYellow Yellow Red Red Pink Pink Purple Purple Brown Brown Green Green Pink Pink Pink Pink Red Red Red Red Pink Pink Green Green\nPink Pink Pink Pink Pink Pink Blue Blue Yellow Yellow Yellow Yellow Green Green Orange Orange Orange Orange Yellow Yellow Red Red Pink Pink\nPink Pink Pink Pink Pink Pink Blue Blue Yellow Yellow Yellow Yellow Green Green Orange Orange Orange Orange Yellow Yellow Red Red Pink Pink\nPurple Purple Orange Orange Purple Purple Yellow Yellow Yellow Yellow Blue Blue Brown Brown Pink Pink Brown Brown Orange Orange Red Red Purple Purple\nPurple Purple Orange Orange Purple Purple Yellow Yellow Yellow Yellow Blue Blue Brown Brown Pink Pink Brown Brown Orange Orange Red Red Purple Purple\nBlue Blue Pink Pink Green Green Blue Blue Pink Pink Blue Blue Pink Pink Brown Brown Pink Pink Blue Blue Green Green Pink Pink\nBlue Blue Pink Pink Green Green Blue Blue Pink Pink Blue Blue Pink Pink Brown Brown Pink Pink Blue Blue Green Green Pink Pink\nGreen Green Green Green Purple Purple Pink Pink Red Red Blue Blue Yellow Yellow Blue Blue Brown Brown Pink Pink Red Red Brown Brown\nGreen Green Green Green Purple Purple Pink Pink Red Red Blue Blue Yellow Yellow Blue Blue Brown Brown Pink Pink Red Red Brown Brown\nPurple Purple Pink Pink Pink Pink Green Green Pink Pink Green Green Pink Pink Orange Orange Blue Blue Purple Purple Pink Pink Blue Blue\nPurple Purple Pink Pink Pink Pink Green Green Pink Pink Green Green Pink Pink Orange Orange Blue Blue Purple Purple Pink Pink Blue Blue\nPurple Purple Pink Pink Orange Orange Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink Purple Purple Blue Blue Green Green Pink Pink\nPurple Purple Pink Pink Orange Orange Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink Purple Purple Blue Blue Green Green Pink Pink\nRed Red Pink Pink Purple Purple Pink Pink Blue Blue Red Red Red Red Red Red Purple Purple Purple Purple Yellow Yellow Pink Pink\nRed Red Pink Pink Purple Purple Pink Pink Blue Blue Red Red Red Red Red Red Purple Purple Purple Purple Yellow Yellow Pink Pink\nPink Pink Green Green Purple Purple Pink Pink Yellow Yellow Green Green Brown Brown Purple Purple Red Red Pink Pink Brown Brown Yellow Yellow\nPink Pink Green Green Purple Purple Pink Pink Yellow Yellow Green Green Brown Brown Purple Purple Red Red Pink Pink Brown Brown 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 Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Green Green Black Black Black\nBlue Blue Blue Black Black Purple Purple Black Green Green Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue 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\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 Orange\n\nOutput:\nGray 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\nGray 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\nGray 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\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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 Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Black Black\nBlack Yellow Black Black Black Black Black Green Green Black Black\nPink Yellow Black Black Black Black Black Black Black Black Black\nPink Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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 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 Red\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\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 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\nOrange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray 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 Green Green Green Black Green Green Black Black\nBlack Black Green Green Green Black Green Green Black Black\nBlack Black Green Green Green Black Black Black Black Black\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 Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow Black Orange Orange Black Black\nBlack Black Yellow Yellow Yellow Black Orange Orange 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 Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow 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\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 Green Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Green Black\nGreen Black Black Green Green Green Green Green Green Black\nBlack Black Black Green Green 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black 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\nGreen 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\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow 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\nGreen Green Green Black Green Green Black Black Black Black\nGreen Green Green Black Green Green Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Green Green Green 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"
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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\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Orange Orange Black Black Black Black\nYellow Yellow Yellow Black Orange Orange Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow 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:\nYellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Green Green Green\nGreen Green Green Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Green Green Green\nGreen Green Green Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Green Green Green\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Green Green Green\nGreen Green Green Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Green Green Green\nGreen Green Green Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Green Green Green\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Black Black Black 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\nGreen 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\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Orange Orange Orange Green Green Green\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple 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 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 Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple 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 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 Purple Purple Purple Purple Purple\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 Purple Purple\nPurple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple 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 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 Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple 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 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 Purple Purple Purple Purple Purple\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 Orange Orange\nOrange Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Orange\nOrange Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Black Pink Pink Pink Black Black Pink Black Black Black Pink Black Orange\nOrange Pink Pink Black Black Black Black Black Black Black Black Black Black Orange\nOrange Pink Pink Black Black Black Pink Black Black Black Black Black Black Orange\nOrange Pink Pink Black Black Pink Pink Pink Black Black Black Black Black Orange\nOrange Pink Pink Black Black Pink Pink Pink Black Black Black Black Black Orange\nOrange Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\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\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\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\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black Orange\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Orange\nOrange Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Gray\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Gray Gray Gray Gray Gray Gray Black Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Black Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Black Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Black Gray Gray Gray Gray Gray Pink\nPink Black Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Black Gray Gray Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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 Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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\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 Black Black Black Black Blue 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 Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Green Green Green Green Yellow\nBlack Black Black Yellow Green Red Red Green Yellow\nBlack Black Yellow Yellow Green Red Red Green Yellow\nBlack Black Black Yellow Green Green Green Green Yellow\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 Black Black Black Black\nBlack Black Black Black Black Black Blue 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 Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Green Green Green Yellow\nBlack Black Black Black Yellow Green Red Red Yellow\nBlack Black Black Yellow Yellow Green Red Red Yellow\nBlack Black Black Black Yellow Green Green Green Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow 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 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 Blue 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 Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Green Green Green Yellow\nBlack Black Black Black Yellow Green Red Red Yellow\nBlack Black Black Yellow Yellow Green Red Red Yellow\nBlack Black Black Black Yellow Green Green Green Yellow\nBlack Black Black Black 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\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 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\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 Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Green Green Green Green Yellow Black\nBlack Black Yellow Green Red Red Green Yellow Black\nBlack Yellow Yellow Green Red Red Green Yellow Black\nBlack Black Yellow Green Green Green Green Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack 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:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Pink Black Black\nBlack Black Pink Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nOrange Orange Black Black Black Black\nOrange Orange Black Black Black Black\n\nOutput:\nOrange Orange Black Black Black Black\nOrange Orange Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack 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 Purple Purple Black\nBlack Black Black Black Purple Purple 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\nBlack Black Black Brown Brown Black Black\nBlack Black Black Brown Brown 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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPink Pink Black Black Black Black Black\nPink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack 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 Purple Purple Black Black Black\nBlack Black Purple Purple 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\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 Blue Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Blue Orange Orange Orange Blue Black Black Black Black Black Black\nBrown Green Green Green Brown Black Blue Orange Orange Orange Blue Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Blue Blue Blue Blue Blue Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Gray Gray Green\nPink Pink Pink Pink Pink Black Black Black Purple Purple Purple Purple Black Green Gray Gray Green\nPink Brown Brown Brown Pink Black Black Black Purple Pink Pink Purple Black Green Gray Gray Green\nPink Brown Brown Brown Pink Black Black Black Purple Pink Pink Purple Black Green Gray Gray Green\nPink Brown Brown Brown Pink Black Black Black Purple Pink Pink Purple Black Green Green Green Green\nPink Pink Pink Pink Pink Black Black Black Purple Pink Pink Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple 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\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Blue Orange Orange Orange Blue Black Black Black Black Black Black\nBrown Green Green Green Brown Black Blue Orange Orange Orange Blue Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Blue Blue Blue Blue Blue Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nPink Pink Pink Pink Pink Black Black Black Purple Purple Purple Purple Black Green Green Green Green\nPink Brown Brown Brown Pink Black Black Black Purple Pink Pink Purple Black Green Green Green Green\nPink Brown Brown Brown Pink Black Black Black Purple Pink Pink Purple Black Green Green Green Green\nPink Brown Brown Brown Pink Black Black Black Purple Pink Pink Purple Black Green Green Green Green\nPink Pink Pink Pink Pink Black Black Black Purple Pink Pink Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple 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\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 Gray Gray Gray Gray Black\nBlack Green Green Green Green Black Black Black Black Gray Brown Brown Gray Black\nBlack Green Gray Gray Green Black Black Black Black Gray Brown Brown Gray Black\nBlack Green Green Green Green Black Black Black Black Gray Brown Brown Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Brown Brown Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Pink Pink Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Brown Brown Brown Brown Blue Black\nBlack Black Black Black Black Black Black Blue Brown Brown Brown Brown Blue Black\nBlack Black Black Black Black Black Black Blue Brown Brown Brown Brown Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Brown Brown Brown Brown Black\nBlack Green Green Green Green Black Black Black Black Brown Brown Brown Brown Black\nBlack Green Green Green Green Black Black Black Black Brown Brown Brown Brown Black\nBlack Green Green Green Green Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Brown Brown Brown Brown Blue Black\nBlack Black Black Black Black Black Black Blue Brown Brown Brown Brown Blue Black\nBlack Black Black Black Black Black Black Blue Brown Brown Brown Brown Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Black Red Pink Pink Red Black Black Black Black\nBlack Black Black Black Black Black Red Pink Pink Red Black Black Black 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 Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Green Green Green Green Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown 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 Red Red Red Red Gray Black Black Black Black Black Black Black Black\nGray Red Red Red Red Gray Black Black Black Black Black Black Black Black\nGray Red Red Red Red Gray Black Black Black Black Black Black Black Black\nGray Red Red Red Red Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray 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 Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Pink Pink Red Black Black Black Black\nBlack Black Black Black Black Black Red Pink Pink Red Black Black Black 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 Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Green Green Green Green Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown 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\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Gray Gray Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Gray Gray Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Gray Gray Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Gray Gray Pink 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\nBlack Black Black Black Black Black 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 Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Yellow Yellow Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Red Yellow Yellow Yellow Red Black Black\nBlack Gray Gray Gray Black Black Black Black Red Yellow Yellow Yellow Red Black Black\nBlack Gray Red Gray Black Black Black Black Red Yellow Yellow Yellow Red Black Black\nBlack Gray Red Gray Black Black Black Black Red Red Red Red Red Black Black\nBlack Gray Red Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\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 Pink Pink Pink Pink 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\nBlack Pink Pink Pink Pink 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\nBlack Pink Pink Pink Pink 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\nBlack Black Black Black Black Black 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 Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Yellow Yellow Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Red Yellow Yellow Yellow Red Black Black\nBlack Red Red Red Black Black Black Black Red Yellow Yellow Yellow Red Black Black\nBlack Red Red Red Black Black Black Black Red Yellow Yellow Yellow Red Black Black\nBlack Red Red Red Black Black Black Black Red Red Red Red Red Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack 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 Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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 Pink Pink Pink Black\nPurple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red 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 Gray 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 Gray Gray Orange Orange Pink Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Gray Gray Orange Orange Pink Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Gray Gray Orange Orange Pink Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Gray Gray Orange Orange Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray 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\nBlack Black Black Black Black Black 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 Pink 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 Pink 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 Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\n\nOutput:\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\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\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange 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 Brown Brown Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow 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 Brown Brown Blue Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Brown Brown Blue Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Brown Brown Blue Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Brown Brown Blue Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Brown Brown Blue Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Brown Brown Blue Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Brown Brown Blue Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow 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\nYellow 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\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 Red\nBlack Black Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red 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 Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Yellow\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 Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nRed Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Blue Black Black Black Black Black\nBlue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black\nYellow 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\nBlack Purple Yellow Black Black Black Black\nPurple Blue Black Black Black Black Black\nBlue Purple Black Black Black Black Black\nPurple Blue Black Black Black Purple Black\nBlack Purple Black Black Black Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Black Black Black Black Blue Black\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 Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black\nYellow Black Black Black Black Blue Black\nBlack Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed 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 Red Red 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 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 Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nYellow Black Black Black Blue Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Black Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 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 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 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 Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black 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 Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\n\nOutput:\nGray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black 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 Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\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 Black\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 Black\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 Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\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 Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange 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 Black Orange Orange 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 Black Orange Orange 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 Black Orange Orange 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 Orange Orange 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 Orange Orange 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 Orange 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 Orange 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 Orange 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 Black Black Black Black Black\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 Black\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 Black\n\nOutput:\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black 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 Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black 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 Black Black 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 Yellow Black 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:\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Pink 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 Black\n\nOutput:\nBlack Black Pink Pink Pink Pink Pink\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 Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange 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:\nOrange Black Black Black Black Black Orange\nOrange Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange\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 Black Black Black\nBlack Black Black Black Gray 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 Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray\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 Green Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Orange Black Black Brown Green Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Purple Black Pink Black Black Black\nBlack Black Gray Brown Black Orange Black Orange Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Pink\n\nOutput:\nGray Gray Green Gray Black Black Black Black Black Black\nOrange Gray Gray Gray Black Black Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Orange Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Orange Gray Orange Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black\nPurple Gray Gray Black Black Black Gray Green Gray Gray\nGray Gray Black Black Black Black Gray Gray Gray Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Brown 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 Yellow Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple\n\nOutput:\nBlack Black Gray Gray Gray Black Black Gray Green Gray\nBlack Black Gray Brown Gray Black Black Gray Gray Gray\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Gray Gray\nBlack Black Gray Yellow Gray Black Black Black Gray Gray\nBlack Black Gray Gray Gray Black Black Black Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Purple Gray Gray Brown Gray Black Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Black Gray Purple\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 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\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Blue Gray Black Gray Gray Gray Black Black\nBlack Gray Gray Gray Black Gray Red Gray Black Black\nGray Gray Black Black Black Gray Gray Gray Black Black\nBlue Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Pink Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Orange Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Blue Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Gray Black Black Black Black Black\nGray Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Orange 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 Orange Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Brown Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Pink Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nGray Orange Gray Black Black Black Black Black Black Black\nGray Gray Gray 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 Brown Orange Pink Gray Purple Brown Pink Yellow Pink Orange\nYellow Orange Purple Gray Pink Blue Orange Gray Orange Brown Orange Orange\nPurple Green Green Green Purple Blue Orange Green Orange Orange Red Purple\nGray Purple Orange Green Yellow Yellow Orange Brown Purple Brown Gray Yellow\nYellow Gray Yellow Yellow Purple Purple Blue Brown Gray Purple Pink Pink\nOrange Pink Gray Red Yellow Blue Purple Brown Purple Green Blue Pink\nBrown Orange Red Pink Orange Purple Purple Red Brown Red Brown Red\nPurple Orange Blue Blue Purple Yellow Blue Blue Pink Gray Brown Blue\n\nOutput:\nYellow Yellow Brown Red Pink Gray Purple Brown Pink Orange Pink Red\nOrange Red Purple Gray Pink Green Red Gray Red Brown Red Red\nPurple Yellow Yellow Yellow Purple Green Red Yellow Red Red Blue Purple\nGray Purple Red Yellow Orange Orange Red Brown Purple Brown Gray Orange\nOrange Gray Orange Orange Purple Purple Green Brown Gray Purple Pink Pink\nRed Pink Gray Blue Orange Green Purple Brown Purple Yellow Green Pink\nBrown Red Blue Pink Red Purple Purple Blue Brown Blue Brown Blue\nPurple Red Green Green Purple Orange Green Green Pink Gray Brown Green\n\n\nExample 2\nInput:\nOrange Red Gray Blue Pink Green Red Blue Yellow Orange\nBrown Purple Purple Brown Brown Gray Brown Purple Blue Brown\nYellow Yellow Green Green Pink Brown Orange Blue Orange Pink\nRed Green Blue Orange Pink Purple Purple Blue Yellow Orange\nPurple Yellow Gray Pink Gray Purple Red Purple Blue Pink\nOrange Gray Gray Brown Yellow Orange Pink Red Orange Pink\nYellow Red Purple Purple Purple Brown Brown Orange Orange Pink\n\nOutput:\nRed Blue Gray Green Pink Yellow Blue Green Orange Red\nBrown Purple Purple Brown Brown Gray Brown Purple Green Brown\nOrange Orange Yellow Yellow Pink Brown Red Green Red Pink\nBlue Yellow Green Red Pink Purple Purple Green Orange Red\nPurple Orange Gray Pink Gray Purple Blue Purple Green Pink\nRed Gray Gray Brown Orange Red Pink Blue Red Pink\nOrange Blue Purple Purple Purple Brown Brown Red Red Pink\n\n\nExample 3\nInput:\nOrange Pink Purple Orange Blue Green Red Yellow Yellow Brown Gray\nBrown Blue Blue Purple Green Orange Yellow Purple Blue Pink Gray\nPurple Pink Gray Orange Purple Pink Yellow Red Gray Orange Green\nPurple Blue Blue Gray Green Gray Blue Pink Brown Yellow Brown\nYellow Blue Green Yellow Green Blue Green Brown Red Purple Orange\nGreen Orange Blue Purple Pink Brown Brown Yellow Orange Blue Yellow\nPurple Pink Pink Yellow Brown Pink Gray Blue Green Blue Gray\n\nOutput:\nRed Pink Purple Red Green Yellow Blue Orange Orange Brown Gray\nBrown Green Green Purple Yellow Red Orange Purple Green Pink Gray\nPurple Pink Gray Red Purple Pink Orange Blue Gray Red Yellow\nPurple Green Green Gray Yellow Gray Green Pink Brown Orange Brown\nOrange Green Yellow Orange Yellow Green Yellow Brown Blue Purple Red\nYellow Red Green Purple Pink Brown Brown Orange Red Green Orange\nPurple Pink Pink Orange Brown Pink Gray Green Yellow Green Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Blue Brown Gray Brown Pink Green Gray Pink\nPink Pink Orange Brown Brown Pink Gray Pink Gray\nGray Pink Orange Orange Blue Yellow Brown Purple Pink\nOrange Blue Orange Purple Red Brown Pink Red Blue\nGreen Green Pink Red Orange Gray Green Purple Yellow\nPurple Red Green Blue Yellow Purple Purple Orange Brown\nYellow Blue Pink Blue Yellow Brown Orange Brown Purple\nBlue Orange Yellow Red Blue Purple Red Gray Gray\nYellow Red Pink Green Purple Green Orange Purple 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```\nPink Green Brown Gray Brown Pink Yellow Gray Pink\nPink Pink Red Brown Brown Pink Gray Pink Gray\nGray Pink Red Red Green Orange Brown Purple Pink\nRed Green Red Purple Blue Brown Pink Blue Green\nYellow Yellow Pink Blue Red Gray Yellow Purple Orange\nPurple Blue Yellow Green Orange Purple Purple Red Brown\nOrange Green Pink Green Orange Brown Red Brown Purple\nGreen Red Orange Blue Green Purple Blue Gray Gray\nOrange Blue Pink Yellow Purple Yellow Red Purple 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 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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray Green Green Green Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray Green Green Green Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray Green Green Green Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Green Green Green Purple Purple Purple Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Green Green Green Purple Purple Purple Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Green Green Green Purple Purple Purple Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Orange Orange Orange Gray Gray Gray Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Orange Orange Orange Gray Gray Gray Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Orange Orange Orange Gray Gray Gray Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Orange Orange Orange Green Green Green Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Orange Orange Orange Green Green Green Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Orange Orange Orange Green Green Green Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Red Red Red Red Red Red Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Red Red Red Red Red Red Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Red Red Red Red Red Red Green Green Green\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Pink Pink Pink Orange Orange Orange Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Pink Pink Pink Orange Orange Orange Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Pink Pink Pink Orange Orange Orange Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Orange Orange Orange Brown Brown Brown Blue Blue Blue Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Orange Orange Orange Brown Brown Brown Blue Blue Blue Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Orange Orange Orange Brown Brown Brown Blue Blue Blue Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue\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 Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Blue Blue Blue Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Blue Blue Blue Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Blue Blue Blue Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Green Green Green Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Green Green Green Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Green Green Green Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Pink Pink Pink Red Red Red Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Pink Pink Pink Red Red Red Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Pink Pink Pink Red Red Red Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Green Green Green\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Blue Blue Blue Brown Brown Brown Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Blue Blue Blue Brown Brown Brown Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Blue Blue Blue Brown Brown Brown Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Gray Gray Gray Brown Brown Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Brown Brown Brown Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Brown Brown Brown Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Brown Brown Brown Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Gray Gray 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```\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Gray Gray Gray Brown Brown Brown Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Gray Gray Gray Brown Brown Brown Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Gray Gray Gray Brown Brown Brown Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Blue Blue Blue 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 Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green 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 Blue Blue Blue Blue Black Yellow Yellow Black\nBlack Black Blue Blue Blue Blue Black Yellow Yellow 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\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 Green Green Green Green Green Green 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 Green Green Green 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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black 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 Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue 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 Green Green Green Green Green Green Green 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 Green Green Green 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 Green Green Green 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 Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow 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 Black Black Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green 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 Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Blue Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown 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 Black Black Black Black Black Black\n\nOutput:\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown Black\nBrown Yellow Brown Brown Yellow Brown Brown Yellow Brown Brown Yellow Brown Brown Yellow Brown\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown Black\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown Black\nBrown Yellow Brown Brown Yellow Brown Brown Yellow Brown Brown Yellow Brown Brown Yellow Brown\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown Black\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown Black\nBrown Yellow Brown Brown Yellow Brown Brown Yellow Brown Brown Yellow Brown Brown Yellow Brown\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown Black\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown Black\nBrown Yellow Brown Brown Yellow Brown Brown Yellow Brown Brown Yellow Brown Brown Yellow Brown\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown Black\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown Black\nBrown Yellow Brown Brown Yellow Brown Brown Yellow Brown Brown Yellow Brown Brown Yellow Brown\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Blue Blue Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Blue Blue Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Blue Blue Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Blue Blue Purple\nBlack Black Black Black Black Black Black Black 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 Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Black Black Black Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Yellow Black Black Purple Yellow Blue Purple Purple Yellow Blue Purple Purple Yellow Blue Purple\nBlack Black Black Black Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Black Black Black Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Black Black Black Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Yellow Black Black Purple Yellow Blue Purple Purple Yellow Blue Purple Purple Yellow Blue Purple\nBlack Black Black Black Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Black Black Black Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Black Black Black Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Yellow Black Black Purple Yellow Blue Purple Purple Yellow Blue Purple Purple Yellow Blue Purple\nBlack Black Black Black Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red Black\nBlack Black Black Black Black Green Red Red\nBlack Black Black Black Black Black Brown Pink\nBlack Black Black Black Pink Pink Pink Pink\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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Black Black Black Red Black\nBlack Green Red Red Black Green Red Red\nBlack Yellow Brown Pink Black Yellow Brown Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Red Black Black Black Red Black\nBlack Green Red Red Black Green Red Red\nBlack Yellow Brown Pink Black Yellow Brown Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow 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 Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Blue Blue\nBlack Black Black Black Blue Blue\nBlack Black Black Black Black Black\nBlack 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 Blue Blue Blue Blue\nYellow Black Yellow Blue Yellow Blue\nBlack Black Blue Blue Blue Blue\nYellow Black Yellow Blue Yellow 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 Green Green Green Black Black Black Black Blue Blue Blue Black\nBlack Green Green Green Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Black Blue Blue Blue Black\nBlack Red Red Green Green Green Black Black Blue Blue Blue Black\nBlack Black Black Green Green Green Black Black Blue Blue Pink Black\nBlack Black Black Green Green Green Black Black Blue Blue Pink Black\nPink Pink Pink Black Black Black Black Black Blue Blue Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Green Green Black Black Black Black Yellow Yellow Yellow Black\nBlack Green Green Green Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Red Red Green Green Green Black Black Yellow Yellow Yellow Black\nBlack Black Black Green Green Green Black Black Yellow Yellow Pink Black\nBlack Black Black Green Green Green Black Black Yellow Yellow Pink Black\nPink Pink Pink Black Black Black Black Black Yellow Yellow Pink 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\nYellow Black Black Black Blue Blue Black Black Black Black\nYellow Black Black Black Blue Blue Green Black Black Black\nBlack Blue Blue Black Blue Blue Green Black Black Black\nBlack Black Blue Black Black Black Green Black Black Black\nBlack Pink Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Yellow Yellow Black Black Black Black\nYellow Black Black Black Yellow Yellow Green Black Black Black\nBlack Yellow Yellow Black Yellow Yellow Green Black Black Black\nBlack Black Yellow Black Black Black Green Black Black Black\nBlack Pink Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Blue Black Green Green Red Red Red Blue Black Black\nBlack Blue Black Green Green Black Black Black Blue Black Black\nBlack Blue Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nPink Pink Pink Black Black Blue Blue Blue Black Black Black\nPink Pink Pink Black Blue Blue Black Black Black Black Black\nPink Pink Pink Black Blue Blue Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Green Green Red Red Red Yellow Black Black\nBlack Yellow Black Green Green Black Black Black Yellow Black Black\nBlack Yellow Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black\nPink Pink Pink Black Black Yellow Yellow Yellow Black Black Black\nPink Pink Pink Black Yellow Yellow Black Black Black Black Black\nPink Pink Pink Black Yellow Yellow Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Black Black Black Black Black Black Black\nBlack Green Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlue Black Black Blue Blue 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 Green Black Black Black Black Black Black Black\nBlack Green Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nYellow Black Black Yellow Yellow 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 Brown Brown Brown Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nGreen Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\n\n\nExample 3\nInput:\nGray Gray Gray Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nGray Gray Gray 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 Gray Gray\nGray Gray Gray 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 Gray Gray\nGray Gray Gray 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 Gray Gray\nGray Gray Gray 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 Gray Gray\nGray Gray Gray 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 Gray Gray\nGray Gray Gray 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 Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\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 Red Red Red Red Red\nRed 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\nRed 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\nRed 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\nRed 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\nRed 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\nRed 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\nRed Red Red Red 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 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 Green 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 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 Blue 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\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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\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 Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red 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\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 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 Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green 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 Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue 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 Yellow Black Black Black Black\nBlack Black Black Black Black Black Green 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 Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Blue 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 Brown Black Brown Black Brown Black Brown Black\nBrown Black Brown Black Brown Black Brown Black Brown\nBlack Brown Black Brown Black Brown Black Brown Black\nBrown Black Brown Black Brown Black Brown Black Brown\nBlack Brown Black Brown Black Brown Black Brown Black\nBrown Black Brown Black Brown Black Brown Black Brown\nBlack Brown Black Brown Black Brown Black Brown Black\nBrown Black Brown Black Brown Black Brown Black Brown\nBlack Brown Black Brown Black Brown Black Brown Black\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\n\n\nExample 2\nInput:\nBrown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown\n\nOutput:\nBlue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue\n\n\nExample 3\nInput:\nBrown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown\n\nOutput:\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Brown Black Brown Black\nBrown Black Brown Black Brown Black Brown\nBlack Brown Black Brown Black Brown Black\nBrown Black Brown Black Brown Black Brown\nBlack Brown Black Brown Black Brown Black\nBrown Black Brown Black Brown Black Brown\nBlack Brown Black Brown Black Brown 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 Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue 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\nBlack Black Black Black Black Black Black Black 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\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue 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\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black\nBlack 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black 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 Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black 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 Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\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 Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red 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 Black 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 Red Red Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black 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 Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\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 Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red 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 Black Black Black Black Black 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\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black 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\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black\nBlack 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Pink Black Black Purple Purple Pink Black\nBlack Orange Orange Gray Purple Orange Black Black\nBlack Black Black Orange Purple Black Blue Black\nBlack Purple Brown Black Purple Black Black Yellow\nGreen Purple Black Purple Purple Black Brown Blue\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlack Purple Yellow Gray Purple Purple Black Blue\nBlack Black Blue Black Purple Gray Black Red\nRed Red Black Black Purple Black Black Orange\nBlue Gray Blue Black Purple Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlue Black Pink Black Orange Orange Blue Black Black Brown\nBlack Black Black Black Black Orange Green Black Yellow Black\nBlue Black Orange Black Orange Orange Pink Purple Purple Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Black Pink Red Black Orange Orange Black Brown Orange\nOrange Black Black Purple Black Orange Gray Purple Green Brown\nBlack Black Black Black Purple Orange Black Black Blue Brown\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Green Purple Brown Orange Black Black Purple\nGreen Black Blue Black Brown Orange Red Purple Black\nBlack Black Pink Brown Brown Black Brown Black Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Blue Purple Orange Brown Brown Black Black Blue\nBlack Black Yellow Black Brown Yellow Black Black Black\nOrange Black Green Blue Brown Black Black Pink Pink\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Brown Brown Pink Black Black Pink Brown\nBlack Pink Black Yellow Pink Orange Black Gray Pink\nBlack Black Orange Yellow Pink Black Orange Black Green\nOrange Black Green Pink Pink Red Black Orange Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Gray Black Black Pink Pink Black Black Black\nBlue Black Orange Green Pink Purple Black Black Brown\nBlack Red Black Black Pink Black Black Brown Yellow\nBlack Black Black Black Pink Pink Black Brown Pink\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:\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 Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack 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 Blue Black Black Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Black Black Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Blue Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Black Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Yellow Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Yellow Yellow Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Yellow Yellow Blue Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Black Black Black Black Black Blue Yellow Yellow Blue Black Black Black Blue Yellow Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Blue Blue Yellow Yellow Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Blue Black Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Black Black Blue Yellow Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 Blue Blue Black Black Blue Blue Blue Black Blue Black\nBlack Black Blue Black Blue Blue Black Blue Black Blue Blue Black\nBlack Black Blue Black Black Black Blue Black Black Blue Blue Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue 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 Blue Blue Black Black Blue Blue Blue Black Blue Black\nBlack Black Blue Yellow Blue Blue Yellow Blue Black Blue Blue Black\nBlack Black Blue Yellow Yellow Yellow Blue Black Black Blue Blue Black\nBlack Black Blue Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Black Blue Yellow Yellow Blue Black Black Black Black Black\nBlack Black Blue Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Blue Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Blue Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue 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 Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Blue Black Blue Black Black\nBlack Black Blue Black Black Blue Black Black Blue Black Blue Black Black Black\nBlack Black Blue Black Black Blue Black Black Blue Black Black Blue Black Black\nBlack Black Blue Black Black Blue Black Black Blue Black Black Blue Black Black\nBlack Black Black Blue Blue Black Black Black Blue Black Black Blue Black Black\nBlack Black Black Blue Blue Black Black Black Blue Blue Blue Blue 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 Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Blue Yellow Blue Black Black\nBlack Black Blue Yellow Yellow Blue Black Black Blue Yellow Blue Black Black Black\nBlack Black Blue Yellow Yellow Blue Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Blue Yellow Yellow Blue Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Black Blue Blue Black Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Black Blue Blue Black Black Black Blue Blue Blue Blue 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 Blue Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Black Black Black Blue Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue 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 Blue Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Yellow Blue Black Black Black Blue Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Yellow Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Yellow Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue 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:\nYellow Black Yellow Orange Pink Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Gray Yellow Yellow Red Yellow Blue Black Yellow Black Black Brown Black Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Yellow Black Yellow Purple Black Yellow\nYellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Pink Yellow\nBlack Yellow Yellow Black Yellow Black Green Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Black Yellow Green Yellow Yellow Yellow Green Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Black Black Yellow Orange Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Yellow Black Black Yellow Purple Gray Yellow Yellow Yellow Yellow Yellow Black Yellow Brown Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Yellow Yellow Black Yellow Yellow Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Black Yellow Black Yellow\nOrange Yellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Pink Black Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Red Yellow Black Yellow Yellow Black Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Black Black Yellow Yellow Black Black Yellow Gray Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Black Green\nYellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Black Yellow Yellow Yellow Black Black Black Yellow Yellow Pink Yellow Yellow Gray Yellow Yellow Red\nYellow Yellow Yellow Black Yellow Pink Yellow Pink Purple Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow\n\n\nExample 2\nInput:\nGreen Black Green Green Black Green Green Green Green Black Green Green Green Green Green Brown Green Green Green Green\nBlack Brown Blue Green Black Green Green Green Green Green Green Green Green Green Green Black Green Green Green Green\nBlack Green Blue Green Green Green Green Green Green Green Purple Orange Green Black Green Green Green Green Gray Green\nBlack Green Green Black Green Black Green Green Red Blue Green Black Pink Green Green Black Green Yellow Green Green\nBlack Orange Green Black Green Green Green Green Green Green Green Green Green Black Green Green Green Yellow Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Pink Green Purple Black Black Green Green Green Green\nGreen Green Blue Black Green Green Black Green Yellow Green Purple Green Green Green Black Green Black Green Green Green\nBlack Green Green Blue Black Green Brown Green Purple Green Black Black Black Red Green Green Green Green Green Gray\nGreen Black Black 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 Black Black Black Green Green Green\nBlack Yellow Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Purple\nBlack Black Green Green Green Green Green Black Green Green Green Green Green Green Green Green Green Yellow Green Black\nGreen Green Green Black Black Green Green Green Green Green Black Green Green Purple Green Green Red Green Green Green\nGreen Green Green Green Green Black Green Green Green Green Brown Orange Black Green Orange Green Green Black Orange Green\nGreen Green Green Green Green Green Green Green Green Black Green Green Green Blue Green Black Green Black Green Green\nOrange Black Black Green Green Green Green Green Green Green Green Black Green Green Orange Purple Brown Green Green Green\nGreen Orange Green Black Black Black Yellow Black Black Black Yellow Red Green Purple Green Green Green Green Green Brown\nBlack Green Green Blue Green Green Green Black Green Green Green Green Green Black Green Green Green Blue Green Black\nGreen Black Green Green Green Green Green Green Green Black Green Green Green Green Black Green Green Green Yellow Green\nPink Green Black Green Black Green Green Green Green Black Blue Black Green Green Black Green Green Green Green Green\n\nOutput:\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Purple\nGreen Green Green Green Red Green Black Green Green Black Black Green Green Green Black Green Green Orange Green Black\nGreen Yellow Black Green Green Green Green Green Black Green Green Black Green Green Black Black Green Green Green Green\nGreen Green Green Green Green Green Black Green Black Green Green Pink Green Green Green Orange Yellow Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Black Black Green Green Green Green Black Green Green\nGreen Green Green Green Black Green Black Green Green Green Green Black Green Green Green Green Green Black Green Green\nGreen Black Green Green Green Green Black Blue Green Green Brown Green Green Green Green Green Green Green Green Gray\nGreen Green Red Black Green Green Green Green Green Black Black Black Green Black Green Green Green Black Green Green\nBlack Green Red Green Green Green Green Green Black Green Green Green Black Black Green Green Black Green Black Black\nGreen Green Green Green Green Green Green Blue Black Purple Green Green Green Yellow Black Green Green Green Green Green\nGray Green Brown Black Green Green Green Gray Yellow Green Green Black Green Green Black Green Gray Green Green Black\nGreen Green Green Green Green Green Black Green Black Green Green Pink Green Green Green Green Green Green Green Green\nGreen Green Green Green Black Green Green Black Green Green Black Green Green Green Green Green Black Black Green Green\nGreen Black Green Green Green Green Green Green Green Green Green Red Black Green Black Green Green Green Green Green\nGreen Black Green Green Green Green Green Black Blue Black Purple Green Green Green Green Green Green Black Green Black\nGreen Black Green Gray Green Black Black Green Green Black Green Green Green Black Green Green Green Green Black Green\nGreen Green Green Black Green Yellow Orange Green Green Green Green Green Green Yellow Green Green Green Green Gray Green\nGreen Green Green Yellow Black Green Purple Green Green Green Green Black Pink Green Black Green Green Black Brown Black\nGreen Green Green Green Green Green Green Black Green Green Green Black Green Green Green Black Green Green Green Black\nGreen Green Green Black Black Black Black Green Gray Green Red Green Green Black Green Green Black Black Black Red\n\nOutput:\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray Gray Gray Gray Gray Purple Black Gray Gray Gray Gray Green Gray Gray Red Gray Gray Black\nGray Purple Gray Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Pink Gray Black\nGray Black Gray Gray Black Purple Black Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Black Gray Gray\nBlack Gray Gray Gray Black Gray Gray Black Gray Gray Gray Black Black Orange Gray Gray Black Black Black Black\nGray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Red Gray\nGray Gray Green Black Gray Purple Gray Gray Black Gray Gray Green Gray Gray Gray Gray Gray Blue Gray Gray\nGray Gray Black Black Gray Gray Black Gray Gray Black Gray Gray Black Gray Gray Green Gray Pink Gray Gray\nBlack Gray Gray Black Gray Black Gray Gray Black Black Black Gray Black Gray Gray Yellow Gray Gray Gray Gray\nGray Gray Purple Gray Black Gray Black Gray Gray Gray Gray Black Black Gray Purple Black Gray Black Black Gray\nGray Black Green Gray Black Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Yellow Gray Gray Gray Gray Gray Gray Gray\nGray Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Purple Black Gray Gray Gray Gray Gray Green\nGray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Gray Gray Gray Pink Gray Red Gray\nGray Black Gray Black Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray\nBrown Gray Gray Gray Black Gray Black Gray Gray Gray Gray Black Black Black Orange Gray Gray Gray Gray Gray\nYellow Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray\nGray Gray Gray Green Gray Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Orange Black Gray Gray Gray Gray Black Gray Gray Gray Gray Black Gray Black Gray Gray Black Gray\nBlack Gray Black Black Yellow Gray Black Gray Gray Gray Gray Purple Gray Gray Black Gray Gray Gray Black 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 Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray\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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\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 Black Black Black Black Black Black Black Black 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 Green Green Green\nBlack Black Black Black Black 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 Black Green Green Green\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 Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black 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 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 Green Green Green Black\nBlack 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 Green Green Green 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 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 Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green 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\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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 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\nBlack Black Black Black 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\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 Yellow Black 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:\nYellow Yellow 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 Yellow\nYellow Yellow 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 Yellow\nYellow Yellow 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 Yellow\nYellow Yellow 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 Yellow\nYellow Yellow 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 Yellow\nYellow Yellow 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 Yellow\nYellow Yellow 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 Yellow\nYellow Yellow 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 Yellow\nYellow Yellow 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 Yellow\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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\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 Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\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 Black Black Gray 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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray 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\nBlack Yellow Black Yellow Black\nBlack Yellow Yellow Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Orange Blue Orange Orange Blue Orange Blue Orange\nOrange Blue Blue Orange Orange Orange Blue Blue Orange Orange\nOrange Orange Blue Orange Orange Orange Orange Blue Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Orange Blue Orange Orange Blue Orange Blue Orange\nOrange Blue Blue Orange Orange Orange Blue Blue Orange Orange\nOrange Orange Blue Orange Orange Orange Orange Blue Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Green Black Black Black\nBlack Green Black Black Black\nBlack Green Black Black Black\nBlack Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Yellow Orange Orange Orange Orange Yellow Orange Orange Orange\nOrange Yellow Orange Orange Orange Orange Yellow Orange Orange Orange\nOrange Yellow Orange Orange Orange Orange Yellow Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Yellow Orange Orange Orange Orange Yellow Orange Orange Orange\nOrange Yellow Orange Orange Orange Orange Yellow Orange Orange Orange\nOrange Yellow Orange Orange Orange Orange Yellow Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Green Black\nBlack Black Black Black Black\nBlack Black Green Black Black\nBlack Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Yellow Orange Orange Orange Orange Yellow Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Yellow Orange Orange Orange Orange Yellow Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Yellow Orange Orange Orange Orange Yellow Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Yellow Orange Orange Orange Orange Yellow Orange Orange\nOrange 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\nBlack Black Gray Gray Black\nBlack Black Black Black Black\nBlack Gray Gray Gray Black\nBlack 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 Orange Orange Orange Orange\nOrange Orange Purple Purple Orange Orange Orange Purple Purple Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Purple Purple Purple Orange Orange Purple Purple Purple Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Purple Purple Orange Orange Orange Purple Purple Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Purple Purple Purple Orange Orange Purple Purple Purple Orange\nOrange 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 Orange 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 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 Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange 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\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 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\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 Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange 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\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 Gray 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\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 Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray 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\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 Pink 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\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 Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink 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 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 Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\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 Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink\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\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 Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue 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 Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue 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 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 Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Yellow 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\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 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 Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink 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 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 Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink 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 Gray Gray Black Gray Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Blue\nPurple Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Yellow Yellow Yellow\nBlue Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Purple Black Purple\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Brown Black Black Black Black\n\nOutput:\nBlack Black Purple Purple Black Purple Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Orange\nGray Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Pink Pink Pink\nOrange Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Gray\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Green Black Gray Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Brown Gray Gray Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlue Black Blue Blue Blue Black Brown Black Black Yellow\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Yellow Black Black\nBlack Black Black Black Purple Purple Purple Yellow Black Black\nBlack Black Black Black Black Black Purple Yellow Black Black\n\nOutput:\nBlack Red Black Purple Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Brown Gray Gray Black\nBlack Black Black Black Black Black Brown Black Black Black\nOrange Black Blue Blue Blue Black Brown Black Black Pink\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Pink Black Black\nBlack Black Black Black Gray Gray Gray Pink Black Black\nBlack Black Black Black Black Black Gray Pink Black Black\n\n\nExample 3\nInput:\nBlack Black Black Purple Red Red Black Black Green Black\nYellow Black Black Black Black Black Black Black Black Pink\nGreen 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 Blue Black\nYellow Black Black Black Black Black Black Black Black Black\nRed Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Black Green\n\nOutput:\nBlack Black Black Gray Green Green Black Black Red Black\nPink Black Black Black Black Black Black Black Black Yellow\nRed 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 Blue Black\nPink Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Red\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Green Black Black Yellow Black Black Black\nYellow Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray Black Black Blue\nBlack Purple Purple Black Black Black Gray Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Brown Brown Gray Gray Gray Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\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 Black Black Red Black Black Pink Black Black Black\nPink Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Gray Black Black Orange\nBlack Purple Purple Black Black Black Gray Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Brown Brown Gray Gray Gray Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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:\nYellow Blue Gray Orange\nYellow Blue Orange Orange\nGray Blue Blue Pink\nBlue Blue Blue Pink\nBlue Orange Green Brown\nBrown Red Green Brown\n\nOutput:\nYellow Blue Gray Orange\nYellow Blue Orange Orange\nGray Blue Blue Pink\nBlue Blue Blue Pink\nBlue Orange Green Brown\nBrown Red Green Brown\nBrown Red Green Brown\nBlue Orange Green Brown\nBlue Blue Blue Pink\nGray Blue Blue Pink\nYellow Blue Orange Orange\nYellow Blue Gray Orange\n\n\nExample 2\nInput:\nOrange Green Green Orange Red\nYellow Purple Orange Orange Red\nYellow Pink Blue Orange Orange\nBlue Blue Orange Orange Orange\n\nOutput:\nOrange Green Green Orange Red\nYellow Purple Orange Orange Red\nYellow Pink Blue Orange Orange\nBlue Blue Orange Orange Orange\nBlue Blue Orange Orange Orange\nYellow Pink Blue Orange Orange\nYellow Purple Orange Orange Red\nOrange Green Green Orange Red\n\n\nExample 3\nInput:\nGray Gray Blue Blue Orange\nBrown Gray Gray Orange Orange\nYellow Red Red Brown Purple\nGray Blue Red Brown Brown\nPink Gray Red Purple Orange\n\nOutput:\nGray Gray Blue Blue Orange\nBrown Gray Gray Orange Orange\nYellow Red Red Brown Purple\nGray Blue Red Brown Brown\nPink Gray Red Purple Orange\nPink Gray Red Purple Orange\nGray Blue Red Brown Brown\nYellow Red Red Brown Purple\nBrown Gray Gray Orange Orange\nGray Gray Blue Blue Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Pink\nPink Blue Blue\nRed Yellow Purple\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 Pink\nPink Blue Blue\nRed Yellow Purple\nRed Yellow Purple\nPink Blue Blue\nBlue Blue 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:\nYellow Orange Pink Yellow Purple Gray Pink Purple Brown\nPink Green Yellow Orange Purple Purple Pink Brown Orange\nBlue Brown Purple Brown Pink Green Gray Yellow Purple\nGray Gray Pink Brown Purple Pink Orange Pink Green\nBrown Green Purple Gray Gray Gray Yellow Pink Brown\nBrown Orange Green Pink Pink Green Purple Brown Green\nPurple Yellow Red Green Orange Green Orange Green Gray\nGray Purple Green Orange Yellow Orange Brown Yellow Green\nGray Purple Brown Gray Pink Green Pink Gray Yellow\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Red Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nGreen Orange Yellow Orange Brown Purple Brown Yellow Green\nGreen Orange Purple Gray Orange Yellow Brown Green Pink\nOrange Yellow Green Orange Pink Green Purple Gray Purple\nBrown Purple Brown Blue Orange Purple Pink Purple Brown\nOrange Red Yellow Pink Purple Purple Pink Yellow Yellow\nOrange Gray Green Green Purple Green Gray Brown Pink\nPurple Yellow Yellow Green Purple Pink Brown Gray Gray\nPurple Yellow Orange Gray Green Brown Purple Brown Orange\nGray Brown Orange Green Pink Pink Gray Purple Yellow\n\nOutput:\nBlack Red Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nPink Yellow Brown Green Gray Green Brown Brown Orange\nGray Gray Orange Brown Orange Yellow Green Pink Yellow\nBrown Orange Gray Purple Purple Purple Blue Gray Gray\nOrange Brown Yellow Yellow Gray Brown Gray Green Pink\nPurple Purple Gray Purple Pink Orange Purple Brown Brown\nRed Yellow Gray Yellow Yellow Purple Yellow Yellow Yellow\nPurple Pink Yellow Green Orange Yellow Green Gray Green\nGray Yellow Purple Orange Pink Gray Purple Pink Purple\nPurple Pink Gray Purple Purple Orange Gray Purple Green\n\nOutput:\nBlack Black Black Black Black\nRed Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Orange Purple Green Yellow Green Orange Yellow Orange\nPurple Pink Green Green Brown Purple Yellow Red Gray\nYellow Purple Pink Orange Gray Brown Pink Yellow Gray\nBrown Purple Green Yellow Green Yellow Brown Brown Brown\nOrange Green Brown Orange Purple Brown Pink Pink Brown\nBlue Gray Pink Purple Green Brown Brown Purple Gray\nOrange Yellow Green Brown Yellow Green Gray Brown Purple\nBrown Pink Green Brown Pink Purple Gray Gray Brown\nOrange Yellow Pink Green Orange Pink Yellow Orange Pink\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 Blue\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack 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 Brown Brown\nBrown Purple Brown\nBrown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Purple Brown Brown Purple Brown Brown Purple Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Purple Brown Brown Purple Brown Brown Purple Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Purple Brown Brown Purple Brown Brown Purple Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nRed Red Red Red\nGreen Orange Orange Green\nGreen Purple Purple Green\nOrange Yellow Yellow Orange\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nGreen Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange\nRed Red Red Red Red Red Red Red Red Red Red Red\nGreen Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange\nRed Red Red Red Red Red Red Red Red Red Red Red\nGreen Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange\n\n\nExample 3\nInput:\nPink Gray Purple Purple\nPink Gray Green Blue\nRed Orange Red Purple\nRed Pink Pink Orange\n\nOutput:\nPink Gray Purple Purple Pink Gray Purple Purple Pink Gray Purple Purple\nPink Gray Green Blue Pink Gray Green Blue Pink Gray Green Blue\nRed Orange Red Purple Red Orange Red Purple Red Orange Red Purple\nRed Pink Pink Orange Red Pink Pink Orange Red Pink Pink Orange\nPink Gray Purple Purple Pink Gray Purple Purple Pink Gray Purple Purple\nPink Gray Green Blue Pink Gray Green Blue Pink Gray Green Blue\nRed Orange Red Purple Red Orange Red Purple Red Orange Red Purple\nRed Pink Pink Orange Red Pink Pink Orange Red Pink Pink Orange\nPink Gray Purple Purple Pink Gray Purple Purple Pink Gray Purple Purple\nPink Gray Green Blue Pink Gray Green Blue Pink Gray Green Blue\nRed Orange Red Purple Red Orange Red Purple Red Orange Red Purple\nRed Pink Pink Orange Red Pink Pink Orange Red Pink Pink Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue\nBlue 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\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"
}
]
|
[
{
"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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Brown Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Pink Pink Pink Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Pink Pink Pink\nOrange Pink Green Pink\nPink Pink Green Black\nPink Pink Green Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink 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 Black\nBlack 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\nBlack Black Black Black 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 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 Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow\nPurple Pink Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black 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 Green Green Green 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 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Green Brown\nBlack Brown Brown\nBlack Brown Brown\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 Brown Brown Black 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 Pink 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 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 Pink\nBlack Black\nBlack Black\nBlack 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 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 Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black 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 Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown 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 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:\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 Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black 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\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 Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink 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\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 Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\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 Black Brown Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Brown\nBlack Black Black Black Black Black Black Black Black Black Black Brown Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown 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 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 Brown Brown Black Brown Brown Brown Black Brown Brown Brown Black Brown\nBlack Black Black Black Purple Purple Brown Black Purple Purple Brown Black Purple Purple Brown\nBlack Black Black Brown Purple Purple Black Brown Purple Purple Black Brown Purple Purple Black\nBlack Black Black Brown Black Brown Brown Brown Black Brown Brown Brown Black Brown Brown\nBlack Black Black Brown Brown Black Brown Brown Brown Black Brown Brown Brown Black Brown\nBlack Black Black Black Purple Purple Brown Black Purple Purple Brown Black Purple Purple Brown\nBlack Black Black Brown Purple Purple Black Brown Purple Purple Black Brown Purple Purple Black\nBlack Black Black Brown Black Brown Brown Brown Black Brown Brown Brown Black Brown Brown\nBlack Black Black Brown Brown Black Brown Brown Brown Black Brown Brown Brown Black Brown\nBlack Black Black Black Purple Purple Brown Black Purple Purple Brown Black Purple Purple Brown\nBlack Black Black Brown Purple Purple Black Brown Purple Purple Black Brown Purple Purple Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Purple Blue Blue Purple\nBlack Black Black Black Black Black Black Black Black Purple Blue Blue Purple\nBlack Black Black Black Black Black Black Black Black Purple Blue Blue Purple\nBlack Black Black Black Black Black Black Black Black Purple Blue Blue Purple\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 Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nBlack Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Blue Black Blue Black Blue Black Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Blue Black Blue Black Blue Black Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Blue Black Blue Black Blue Black Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Blue Black Blue Black Blue Black Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Blue Black Blue Black Blue Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Pink Blue Blue Blue Yellow\nBlack Black Black Black Black Black Purple Pink Blue Gray Gray Gray\nBlack Black Black Black Black Black Purple Brown Gray Gray Gray Yellow\nBlack Black Black Black Black Black Purple Brown Gray Gray Gray Yellow\nBlack Black Black Black Black Black Purple Pink Blue Gray Gray Gray\nBlack Black Black Black Black Black Black Pink Blue Blue Blue 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\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 Pink Blue Blue Blue Yellow Black Pink Blue Blue Blue Yellow\nPurple Pink Blue Gray Gray Gray Purple Pink Blue Gray Gray Gray\nPurple Brown Gray Gray Gray Yellow Purple Brown Gray Gray Gray Yellow\nPurple Brown Gray Gray Gray Yellow Purple Brown Gray Gray Gray Yellow\nPurple Pink Blue Gray Gray Gray Purple Pink Blue Gray Gray Gray\nBlack Pink Blue Blue Blue Yellow Black Pink Blue Blue Blue Yellow\nBlack Pink Blue Blue Blue Yellow Black Pink Blue Blue Blue Yellow\nPurple Pink Blue Gray Gray Gray Purple Pink Blue Gray Gray Gray\nPurple Brown Gray Gray Gray Yellow Purple Brown Gray Gray Gray Yellow\nPurple Brown Gray Gray Gray Yellow Purple Brown Gray Gray Gray Yellow\nPurple Pink Blue Gray Gray Gray Purple Pink Blue Gray Gray Gray\nBlack Pink Blue Blue Blue Yellow Black Pink Blue Blue Blue 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green 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 Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Red Red Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Red Red Black Black Black Black Red Red Red Red\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray 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 Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black\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 Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Red Red Red Red\nRed Red Black Black Black Black Red Red Red Red\nRed Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red 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\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\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black 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 Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nBlack Black Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\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:\nPink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Green Green Pink Pink Pink Pink Pink Pink\nBlack Black Green Green Pink Pink Pink Pink Pink Pink\nBlack Black Green Green Black Black Pink Pink Pink Pink\nBlack Black Green Green Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Orange 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 Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange 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 Black Yellow Black Green Blue Black\nGray Black Pink Black Black Orange Yellow\nBlack Black Gray Black Red Green Pink\nBlack Yellow Black Pink Orange Blue Yellow\nYellow Pink Black Gray Black Red Black\nBlack Orange Black Black Red Black Green\nPink Black Red Black Blue Gray Orange\n\nOutput:\nYellow\n\n\nExample 2\nInput:\nGreen Black Black Green Red Pink Pink\nYellow Gray Black Black Pink Pink Black\nRed Red Orange Black Orange Black Gray\nYellow Black Black Black Yellow Gray Yellow\nBlack Black Black Black Black Pink Red\nGray Pink Red Blue Black Yellow Gray\nBlack Orange Pink Yellow Black Green Yellow\n\nOutput:\nYellow\n\n\nExample 3\nInput:\nBlack Black Green Yellow Blue Black Gray\nBlack Yellow Black Green Yellow Black Blue\nPink Black Yellow Black Yellow Black Gray\nBlue Black Black Red Red Yellow Black\nGreen Orange Black Gray Black Black Blue\nRed Gray Red Yellow Black Black Yellow\nBlue Yellow Black Gray Yellow Black Green\n\nOutput:\nBlue\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Gray Pink Green Orange Pink\nGray Orange Black Yellow Pink Orange Red\nBlack Red Black Black Orange Green Orange\nBlue Black Orange Black Pink Yellow Blue\nPink Green Black Red Yellow Blue Black\nGreen Orange Green Black Black Orange Black\nBlack Black Pink Red 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\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\nBlack Black Black Brown Black Black\nBlack Black Brown Blue Brown Black\nBlack Black Black Brown Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black\nBlack Black Yellow Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Purple Blue Blue Purple Black\nBlack Purple Blue Blue Purple Black\nBlack Purple Blue Blue Purple Black\nBlack Purple Blue Blue Purple Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Red Black Black Black\nBlack Red Red Green Black Black\nBlack Pink Brown Black Black Black\nBlack Pink Pink Pink Pink Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Yellow Black\nBlack Black Yellow Black Yellow Black\nBlack Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Blue Blue Black\nBlack Black Black Blue Blue Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack 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\nBlack Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Yellow Black\nBlack 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black\nBlack Green Black Black Black\nBlack Black Black Black Black\nBlack 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 Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green 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 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Green\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 Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green 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\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGray 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 Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray 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\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 Gray Gray Gray Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\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\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 Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown 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 Black Black Black Black Black Black Black Black Black Black Black\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\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 Orange Orange Orange Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\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\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 Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\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\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 Purple Purple Purple Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\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\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 Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\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\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 Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\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\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 Black Black Black\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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange 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 Black Black\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\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 Pink Pink Pink Orange Orange Orange Gray Gray Gray Brown Brown Brown Purple Purple Purple Pink Pink Pink Green Green Green\nBlue Blue Blue Pink Pink Pink Orange Orange Orange Gray Gray Gray Brown Brown Brown Purple Purple Purple Pink Pink Pink Green Green Green\nBlue Blue Blue Pink Pink Pink Orange Orange Orange Gray Gray Gray Brown Brown Brown Purple Purple Purple Pink Pink Pink Green Green Green\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Gray Gray Gray Pink Pink Pink Blue Blue Blue Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Gray Gray Gray Pink Pink Pink Blue Blue Blue Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Gray Gray Gray Pink Pink Pink Blue Blue Blue Pink Pink Pink Brown Brown Brown\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Green Green Green Purple Purple Purple Green Green Green\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Green Green Green Purple Purple Purple Green Green Green\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Green Green Green Purple Purple Purple Green Green Green\nBrown Brown Brown Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple\nBrown Brown Brown Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple\nBrown Brown Brown Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple\nRed Red Red Blue Blue Blue Orange Orange Orange Pink Pink Pink Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink\nRed Red Red Blue Blue Blue Orange Orange Orange Pink Pink Pink Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink\nRed Red Red Blue Blue Blue Orange Orange Orange Pink Pink Pink Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink\nBlue Blue Blue Purple Purple Purple Pink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Purple Purple Purple Orange Orange Orange\nBlue Blue Blue Purple Purple Purple Pink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Purple Purple Purple Orange Orange Orange\nBlue Blue Blue Purple Purple Purple Pink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Purple Purple Purple Orange Orange Orange\nGreen Green Green Brown Brown Brown Gray Gray Gray Purple Purple Purple Pink Pink Pink Brown Brown Brown Orange Orange Orange Purple Purple Purple\nGreen Green Green Brown Brown Brown Gray Gray Gray Purple Purple Purple Pink Pink Pink Brown Brown Brown Orange Orange Orange Purple Purple Purple\nGreen Green Green Brown Brown Brown Gray Gray Gray Purple Purple Purple Pink Pink Pink Brown Brown Brown Orange Orange Orange Purple Purple Purple\nGreen Green Green Purple Purple Purple Orange Orange Orange Green Green Green Purple Purple Purple Blue Blue Blue Green Green Green Pink Pink Pink\nGreen Green Green Purple Purple Purple Orange Orange Orange Green Green Green Purple Purple Purple Blue Blue Blue Green Green Green Pink Pink Pink\nGreen Green Green Purple Purple Purple Orange Orange Orange Green Green Green Purple Purple Purple Blue Blue Blue Green Green Green Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Green Green Green Blue Blue Blue Orange Orange Orange Red Red Red Brown Brown Brown Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Green Green Green Blue Blue Blue Orange Orange Orange Red Red Red Brown Brown Brown Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Green Green Green Blue Blue Blue Orange Orange Orange Red Red Red Brown Brown Brown Pink Pink Pink\nBrown Brown Brown Purple Purple Purple Orange Orange Orange Gray Gray Gray Red Red Red Green Green Green Purple Purple Purple Orange Orange Orange\nBrown Brown Brown Purple Purple Purple Orange Orange Orange Gray Gray Gray Red Red Red Green Green Green Purple Purple Purple Orange Orange Orange\nBrown Brown Brown Purple Purple Purple Orange Orange Orange Gray Gray Gray Red Red Red Green Green Green Purple Purple Purple Orange Orange Orange\n\nOutput:\nOrange Orange Orange Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Orange Orange Orange Purple Purple Purple Red Red Red\nOrange Orange Orange Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Orange Orange Orange Purple Purple Purple Red Red Red\nOrange Orange Orange Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Orange Orange Orange Purple Purple Purple Red Red Red\nPink Pink Pink Red Red Red Red Red Red Orange Orange Orange Yellow Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple\nPink Pink Pink Red Red Red Red Red Red Orange Orange Orange Yellow Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple\nPink Pink Pink Red Red Red Red Red Red Orange Orange Orange Yellow Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple\nPink Pink Pink Red Red Red Yellow Yellow Yellow Purple Purple Purple Red Red Red Orange Orange Orange Purple Purple Purple Red Red Red\nPink Pink Pink Red Red Red Yellow Yellow Yellow Purple Purple Purple Red Red Red Orange Orange Orange Purple Purple Purple Red Red Red\nPink Pink Pink Red Red Red Yellow Yellow Yellow Purple Purple Purple Red Red Red Orange Orange Orange Purple Purple Purple Red Red Red\nPurple Purple Purple Orange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Gray Gray Gray Red Red Red Red Red Red\nPurple Purple Purple Orange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Gray Gray Gray Red Red Red Red Red Red\nPurple Purple Purple Orange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Gray Gray Gray Red Red Red Red Red Red\nOrange Orange Orange Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nOrange Orange Orange Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nOrange Orange Orange Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nPink Pink Pink Gray Gray Gray Purple Purple Purple Red Red Red Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Red Red Red\nPink Pink Pink Gray Gray Gray Purple Purple Purple Red Red Red Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Red Red Red\nPink Pink Pink Gray Gray Gray Purple Purple Purple Red Red Red Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Red Red Red\nPurple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red\nPurple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red\nPurple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red\nRed Red Red Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Yellow Yellow Yellow\nRed Red Red Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Red Red Red\nRed Red Red Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Red Red Red\nRed Red Red Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Red Red Red\nRed Red Red Pink Pink Pink Purple Purple Purple Red Red Red Gray Gray Gray Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nRed Red Red Pink Pink Pink Purple Purple Purple Red Red Red Gray Gray Gray Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nRed Red Red Pink Pink Pink Purple Purple Purple Red Red Red Gray Gray Gray Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\n\n\nExample 2\nInput:\nPurple Purple Purple Gray Gray Gray Blue Blue Blue Green Green Green Red Red Red Orange Orange Orange Gray Gray Gray Blue Blue Blue Brown Brown Brown Red Red Red\nPurple Purple Purple Gray Gray Gray Blue Blue Blue Green Green Green Red Red Red Orange Orange Orange Gray Gray Gray Blue Blue Blue Brown Brown Brown Red Red Red\nPurple Purple Purple Gray Gray Gray Blue Blue Blue Green Green Green Red Red Red Orange Orange Orange Gray Gray Gray Blue Blue Blue Brown Brown Brown Red Red Red\nPurple Purple Purple Orange Orange Orange Gray Gray Gray Pink Pink Pink Gray Gray Gray Blue Blue Blue Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Gray Gray Gray Pink Pink Pink Gray Gray Gray Blue Blue Blue Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Gray Gray Gray Pink Pink Pink Gray Gray Gray Blue Blue Blue Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Red Red Red Gray Gray Gray Purple Purple Purple Green Green Green Green Green Green Gray Gray Gray\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Red Red Red Gray Gray Gray Purple Purple Purple Green Green Green Green Green Green Gray Gray Gray\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Red Red Red Gray Gray Gray Purple Purple Purple Green Green Green Green Green Green Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Orange Orange Orange Purple Purple Purple Blue Blue Blue Purple Purple Purple Blue Blue Blue\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Orange Orange Orange Purple Purple Purple Blue Blue Blue Purple Purple Purple Blue Blue Blue\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Orange Orange Orange Purple Purple Purple Blue Blue Blue Purple Purple Purple Blue Blue Blue\nBrown Brown Brown Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Green Green Green Purple Purple Purple Pink Pink Pink Blue Blue Blue Gray Gray Gray\nBrown Brown Brown Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Green Green Green Purple Purple Purple Pink Pink Pink Blue Blue Blue Gray Gray Gray\nBrown Brown Brown Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Green Green Green Purple Purple Purple Pink Pink Pink Blue Blue Blue Gray Gray Gray\nPink Pink Pink Red Red Red Pink Pink Pink Purple Purple Purple Red Red Red Blue Blue Blue Orange Orange Orange Red Red Red Brown Brown Brown Blue Blue Blue\nPink Pink Pink Red Red Red Pink Pink Pink Purple Purple Purple Red Red Red Blue Blue Blue Orange Orange Orange Red Red Red Brown Brown Brown Blue Blue Blue\nPink Pink Pink Red Red Red Pink Pink Pink Purple Purple Purple Red Red Red Blue Blue Blue Orange Orange Orange Red Red Red Brown Brown Brown Blue Blue Blue\nPurple Purple Purple Green Green Green Gray Gray Gray Blue Blue Blue Gray Gray Gray Green Green Green Red Red Red Green Green Green Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Green Green Green Gray Gray Gray Blue Blue Blue Gray Gray Gray Green Green Green Red Red Red Green Green Green Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Green Green Green Gray Gray Gray Blue Blue Blue Gray Gray Gray Green Green Green Red Red Red Green Green Green Orange Orange Orange Blue Blue Blue\n\nOutput:\nYellow Yellow Yellow Orange Orange Orange Red Red Red Red Red Red Red Red Red Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Red Red Red Purple Purple Purple\nYellow Yellow Yellow Orange Orange Orange Red Red Red Red Red Red Red Red Red Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Red Red Red Purple Purple Purple\nYellow Yellow Yellow Orange Orange Orange Red Red Red Red Red Red Red Red Red Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Red Red Red Purple Purple Purple\nYellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Yellow Yellow Yellow Red Red Red Purple Purple Purple Pink Pink Pink Red Red Red Pink Pink Pink\nYellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Yellow Yellow Yellow Red Red Red Purple Purple Purple Pink Pink Pink Red Red Red Pink Pink Pink\nYellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Yellow Yellow Yellow Red Red Red Purple Purple Purple Pink Pink Pink Red Red Red Pink Pink Pink\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Red Red Red Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Red Red Red\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Red Red Red Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Red Red Red\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Red Red Red Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Red Red Red\nYellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Red Red Red Red Red Red Gray Gray Gray Red Red Red\nYellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Red Red Red Red Red Red Gray Gray Gray Red Red Red\nYellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Red Red Red Red Red Red Gray Gray Gray Red Red Red\nGray Gray Gray Red Red Red Red Red Red Purple Purple Purple Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange\nGray Gray Gray Red Red Red Red Red Red Purple Purple Purple Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange\nGray Gray Gray Red Red Red Red Red Red Purple Purple Purple Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange\nOrange Orange Orange Red Red Red Red Red Red Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Gray Gray Gray Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Red Red Red Red Red Red Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Gray Gray Gray Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Red Red Red Red Red Red Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Gray Gray Gray Orange Orange Orange Purple Purple Purple\nRed Red Red Red Red Red Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple\nRed Red Red Red Red Red Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple\nRed Red Red Red Red Red Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple\n\n\nExample 3\nInput:\nGray Gray Gray Orange Orange Orange Purple Purple Purple Brown Brown Brown Pink Pink Pink Red Red Red Blue Blue Blue Pink Pink Pink Gray Gray Gray\nGray Gray Gray Orange Orange Orange Purple Purple Purple Brown Brown Brown Pink Pink Pink Red Red Red Blue Blue Blue Pink Pink Pink Gray Gray Gray\nGray Gray Gray Orange Orange Orange Purple Purple Purple Brown Brown Brown Pink Pink Pink Red Red Red Blue Blue Blue Pink Pink Pink Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Purple Purple Purple Orange Orange Orange Purple Purple Purple Pink Pink Pink Brown Brown Brown Orange Orange Orange\nGray Gray Gray Red Red Red Red Red Red Purple Purple Purple Orange Orange Orange Purple Purple Purple Pink Pink Pink Brown Brown Brown Orange Orange Orange\nGray Gray Gray Red Red Red Red Red Red Purple Purple Purple Orange Orange Orange Purple Purple Purple Pink Pink Pink Brown Brown Brown Orange Orange Orange\nGreen Green Green Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red Gray Gray Gray Orange Orange Orange Brown Brown Brown Orange Orange Orange\nGreen Green Green Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red Gray Gray Gray Orange Orange Orange Brown Brown Brown Orange Orange Orange\nGreen Green Green Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red Gray Gray Gray Orange Orange Orange Brown Brown Brown Orange Orange Orange\nGreen Green Green Pink Pink Pink Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Orange Orange Orange Blue Blue Blue\nGreen Green Green Pink Pink Pink Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Orange Orange Orange Blue Blue Blue\nGreen Green Green Pink Pink Pink Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Orange Orange Orange Blue Blue Blue\nOrange Orange Orange Red Red Red Red Red Red Blue Blue Blue Orange Orange Orange Brown Brown Brown Gray Gray Gray Purple Purple Purple Green Green Green\nOrange Orange Orange Red Red Red Red Red Red Blue Blue Blue Orange Orange Orange Brown Brown Brown Gray Gray Gray Purple Purple Purple Green Green Green\nOrange Orange Orange Red Red Red Red Red Red Blue Blue Blue Orange Orange Orange Brown Brown Brown Gray Gray Gray Purple Purple Purple Green Green Green\nPink Pink Pink Green Green Green Blue Blue Blue Purple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Purple Purple Purple Pink Pink Pink\nPink Pink Pink Green Green Green Blue Blue Blue Purple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Purple Purple Purple Pink Pink Pink\nPink Pink Pink Green Green Green Blue Blue Blue Purple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Purple Purple Purple Pink Pink Pink\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Brown Brown Brown Green Green Green Orange Orange Orange Red Red Red Orange Orange Orange Red Red Red\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Brown Brown Brown Green Green Green Orange Orange Orange Red Red Red Orange Orange Orange Red Red Red\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Brown Brown Brown Green Green Green Orange Orange Orange Red Red Red Orange Orange Orange Red Red Red\n\nOutput:\nRed Red Red Orange Orange Orange Red Red Red Orange Orange Orange Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nRed Red Red Orange Orange Orange Red Red Red Orange Orange Orange Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nRed Red Red Orange Orange Orange Red Red Red Orange Orange Orange Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nPink Pink Pink Purple Purple Purple Red Red Red Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow Red Red Red Pink Pink Pink\nPink Pink Pink Purple Purple Purple Red Red Red Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow Red Red Red Pink Pink Pink\nPink Pink Pink Purple Purple Purple Red Red Red Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow Red Red Red Pink Pink Pink\nRed Red Red Purple Purple Purple Gray Gray Gray Red Red Red Orange Orange Orange Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange\nRed Red Red Purple Purple Purple Gray Gray Gray Red Red Red Orange Orange Orange Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange\nRed Red Red Purple Purple Purple Gray Gray Gray Red Red Red Orange Orange Orange Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange\nYellow Yellow Yellow Orange Orange Orange Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Pink Pink Pink Red Red Red\nYellow Yellow Yellow Orange Orange Orange Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Pink Pink Pink Red Red Red\nYellow Yellow Yellow Orange Orange Orange Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Pink Pink Pink Red Red Red\nOrange Orange Orange Red Red Red Orange Orange Orange Gray Gray Gray Red Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Red Red Red\nOrange Orange Orange Red Red Red Orange Orange Orange Gray Gray Gray Red Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Red Red Red\nOrange Orange Orange Red Red Red Orange Orange Orange Gray Gray Gray Red Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Red Red Red\nOrange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Orange Orange Orange Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray\nOrange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Orange Orange Orange Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray\nOrange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Orange Orange Orange Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Pink Pink Pink Yellow Yellow Yellow Red Red Red Pink Pink Pink Red Red Red Purple Purple Purple Orange Orange Orange Gray Gray Gray\nGray Gray Gray Pink Pink Pink Yellow Yellow Yellow Red Red Red Pink Pink Pink Red Red Red Purple Purple Purple Orange Orange Orange Gray Gray Gray\nGray Gray Gray Pink Pink Pink Yellow Yellow Yellow Red Red Red Pink Pink Pink Red Red Red Purple Purple Purple Orange Orange Orange Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray Gray Blue Blue Blue Green Green Green Red Red Red Gray Gray Gray Red Red Red\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray Gray Blue Blue Blue Green Green Green Red Red Red Gray Gray Gray Red Red Red\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray Gray Blue Blue Blue Green Green Green Red Red Red Gray Gray Gray Red Red Red\nRed Red Red Orange Orange Orange Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Blue Blue Blue Brown Brown Brown Green Green Green\nRed Red Red Orange Orange Orange Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Blue Blue Blue Brown Brown Brown Green Green Green\nRed Red Red Orange Orange Orange Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Blue Blue Blue Brown Brown Brown Green Green Green\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Purple Purple Purple Green Green Green Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Purple Purple Purple Green Green Green Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Purple Purple Purple Green Green Green Pink Pink Pink Purple Purple Purple\nPink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nPink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nPink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Red Red Red Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Red Red Red\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Red Red Red Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Red Red Red\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Red Red Red Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Red Red Red\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Green Green Green Gray Gray Gray Brown Brown Brown Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Green Green Green Gray Gray Gray Brown Brown Brown Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Green Green Green Gray Gray Gray Brown Brown Brown Blue Blue Blue\nPink Pink Pink Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Brown Brown Brown Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPink Pink Pink Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Brown Brown Brown Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPink Pink Pink Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Brown Brown Brown Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPink Pink Pink Gray Gray Gray Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Brown Brown Brown Orange Orange Orange\nPink Pink Pink Gray Gray Gray Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Brown Brown Brown Orange Orange Orange\nPink Pink Pink Gray Gray Gray Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Red Red Red Pink Pink Pink Green Green Green Orange Orange Orange Brown Brown Brown Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Red Red Red Pink Pink Pink Green Green Green Orange Orange Orange Brown Brown Brown Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Red Red Red Pink Pink Pink Green Green Green Orange Orange Orange Brown Brown Brown 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```\nYellow Yellow Yellow Red Red Red Orange Orange Orange Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Red Red Red Orange Orange Orange Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Red Red Red Orange Orange Orange Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Red Red Red Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Gray Gray Gray Pink Pink Pink\nOrange Orange Orange Red Red Red Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Gray Gray Gray Pink Pink Pink\nOrange Orange Orange Red Red Red Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Gray Gray Gray Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Orange Orange Orange Red Red Red Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Orange Orange Orange Red Red Red Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Orange Orange Orange Red Red Red Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink\nYellow Yellow Yellow Red Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Red Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Red Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nRed Red Red Yellow Yellow Yellow Pink Pink Pink Red Red Red Gray Gray Gray Red Red Red Orange Orange Orange Purple Purple Purple Purple Purple Purple\nRed Red Red Yellow Yellow Yellow Pink Pink Pink Red Red Red Gray Gray Gray Red Red Red Orange Orange Orange Purple Purple Purple Purple Purple Purple\nRed Red Red Yellow Yellow Yellow Pink Pink Pink Red Red Red Gray Gray Gray Red Red Red Orange Orange Orange Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink\nPurple Purple Purple Pink Pink Pink Red Red Red Purple Purple Purple Red Red Red Gray Gray Gray Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Red Red Red Purple Purple Purple Red Red Red Gray Gray Gray Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Red Red Red Purple Purple Purple Red Red Red Gray Gray Gray Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Red Red Red Yellow Yellow Yellow Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Yellow Yellow Yellow Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Yellow Yellow Yellow Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Orange Orange Orange Red Red Red\nRed Red Red Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Gray Gray Gray Red Red Red Red Red Red Purple Purple Purple\nRed Red Red Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Gray Gray Gray Red Red Red Red Red Red Purple Purple Purple\nRed Red Red Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Gray Gray Gray Red Red Red Red Red Red 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\nBlack Black Black Black Blue Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Black Yellow Black Black\nBlack Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Gray Black Black Black\nBlack Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Gray Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Green Black\nBlack Black Black Black Green Black\nBlack Black Green Green Green Green\nBlack Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Black\nBlack Black Green 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 Green Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\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\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\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange 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 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 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 Black Black Black Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange 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\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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\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\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\nGray Gray Gray Gray Gray Gray Gray Gray 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 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 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 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 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 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 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 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 Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray 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 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 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 Gray 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 Black Black\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\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\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\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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Black Blue 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 Black Blue 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 Black Blue 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 Black Blue 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 Black Blue 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 Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 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 Black 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 Black 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 Black 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 Black 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 Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 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 Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\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\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\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 Black Black Black Black\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\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\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\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\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\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\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\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\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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown 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 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 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 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 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 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 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 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 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 Brown 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 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 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 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 Brown 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 Yellow 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 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\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:\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Brown Black Black\nBlack Black 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 Brown Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Yellow\nBlack 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 Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black 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 Black\nBlack Black Black Brown 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 Black Black Black\nBlack Brown 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\nBlack Black Black Black Black Black Green\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Black\nBlack Black Black Black Black Black Green\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Orange Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Gray 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 Pink Black Black Black\n\nOutput:\nBlack Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Black Gray\nBlack Black Black Pink Black Black Pink\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Pink 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 Brown 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\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 Red Black Black Black Black Brown Black Black\nBlack Black Red Black Black Brown Black Black Black\nBlack Black Black Red Brown Black Black Black Black\nBlack Black Black Brown Red Black Black Black Black\nBlack Black Brown Brown Black Red Black Black Black\nBlack Brown Black Black Black Black Red Black Black\nBrown Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red\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 Black 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 Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green 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 Blue 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 Black Black\nBlue Blue Blue Blue Blue Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green 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 Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Yellow Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow 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\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Green Green Green Green Green Black\nBlue Blue Blue Blue Blue Black Black Black Black Green Green Green Green Green Black\nBlack Blue Blue Blue Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Blue Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Yellow Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow 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\nBlack Black 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\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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Green Green Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Yellow 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 Black Black Black Black 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 Blue 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 Black\nBlue Blue Blue Blue Blue Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Blue Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Green Green Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Yellow 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 Black Black Black Black 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black 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\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 Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Yellow Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack 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 Black\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 Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black 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```",
"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 Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Blue Black Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue\nBlue Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Blue Black Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue\nBlue Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Blue Black Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue\nBlue Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue\n\nOutput:\nBlack Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue\nBlack Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue\nBlue Blue Blue 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\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue\nBlue Blue Blue 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\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue\nBlue 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\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue\nBlue Blue Blue 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\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Black Black\nBlue Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue\nBlue Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue\nBlue Blue 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 Black Black Black Black\nBlue Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue\nBlue Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue\nBlue Blue Black Black Black Black\nBlue Blue Black Black Black Black\nBlue Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue\nBlue Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue\nBlue Blue 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 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 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 Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\nOrange Orange Green Green Green Orange Orange Orange Orange Orange\nBlack Black Green Green Green Black Black 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 Black Black Black 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\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 Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nOrange Green Green Green Orange Orange Orange Orange Orange Orange\nBlack Green Green Green Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange 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\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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nOrange Green Green Green Orange Orange Orange Orange Orange Orange\nBlack Green Green Green Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange 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 Blue 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\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 Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nOrange Orange Orange Green Green Green Orange Orange Orange Orange\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange 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:\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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Orange Black Black Black Purple Black Black\nBlack Orange Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Yellow Orange Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Yellow Black Black Black Yellow Black Black\nYellow Yellow Yellow Black Yellow Purple Yellow Black\nYellow Yellow Yellow Black Black Yellow Black Black\nYellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Yellow Black\nYellow Blue Yellow Black Black Yellow Brown Yellow\nBlack Yellow Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black\nBlack Yellow Pink Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBrown Black Pink Black Black Blue Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Yellow Pink Yellow Yellow Blue Yellow Black Black Black\nYellow Black Yellow Red Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Black Yellow Blue Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Green Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Pink\nBlack Black Black Black Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Orange 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 Orange Black Black Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Gray Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Blue Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Orange Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Yellow Orange Yellow Yellow Orange Yellow 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 Pink Black Black Orange Black Black\nGray 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 Orange Black Gray Black Black Black 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```\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 Yellow Black Black Yellow Black Black\nYellow Black Yellow Pink Yellow Yellow Orange Yellow Black\nGray Yellow Black Yellow Black Black Yellow Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Yellow\nBlack Yellow Orange Yellow Gray Yellow Black Yellow 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:\nOrange Orange Yellow Yellow Pink Blue Green Pink Red Gray\nBrown Green Yellow Purple Gray Brown Purple Pink Yellow Gray\nOrange Orange Orange Purple Red Orange Red Orange Red Gray\nOrange Orange Brown Blue Yellow Red Purple Brown Orange Gray\nGreen Red Purple Brown Blue Pink Orange Green Purple Gray\nGreen Purple Brown Gray Purple Orange Blue Orange Orange Gray\nBrown Yellow Gray Purple Brown Purple Blue Purple Purple Gray\nOrange Orange Yellow Pink Purple Purple Purple Red Brown Gray\nPink Purple Purple Pink Green Red Yellow Blue Brown Gray\nGray Gray Green Gray Blue Brown Blue Red Green Gray\nPurple Pink Green Purple Pink Red Blue Brown Pink Gray\nBrown Blue Green Orange Yellow Brown Pink Blue Orange Gray\nPink Orange Purple Green Gray Red Gray Green Red Gray\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Gray\nGreen Green Green Green Green Green Green Green Green Gray\nGreen Green Green Green Green Green Green Green Green Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Gray\n\n\nExample 2\nInput:\nBrown Gray Gray Yellow Pink Pink Purple Brown Purple Yellow\nPurple Gray Gray Green Red Red Purple Red Blue Purple\nBlue Gray Gray Green Green Orange Brown Red Blue Yellow\nBrown Gray Gray Pink Blue Pink Brown Green Blue Orange\nOrange Gray Gray Brown Orange Purple Orange Orange Gray Green\nRed Gray Gray Orange Pink Yellow Orange Purple Purple Purple\nGray Gray Gray Blue Purple Gray Pink Purple Purple Green\nBlue Gray Gray Orange Purple Pink Orange Gray Red Pink\nPink Gray Gray Pink Blue Gray Gray Orange Pink Red\nGreen Gray Gray Brown Yellow Purple Gray Gray Yellow Green\nRed Gray Gray Purple Orange Red Brown Yellow Pink Green\nBlue Gray Gray Purple Yellow Purple Yellow Red Blue Brown\n\nOutput:\nBrown Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nYellow Purple Gray Gray Green Gray Green Gray Gray\nPurple Pink Gray Green Yellow Green Red Gray Gray\nBlue Yellow Gray Gray Green Orange Green Gray Gray\nPink Red Gray Blue Blue Blue Pink Gray Gray\nGray Gray Gray Pink Green Purple Purple Gray Gray\nOrange Gray Gray Brown Brown Pink Pink Gray Gray\nPink Green Gray Yellow Red Brown Pink Gray Gray\nPurple Brown Gray Brown Purple Brown Yellow Gray Gray\nOrange Blue Gray Purple Orange Yellow Brown Gray Gray\nBlue Blue Gray Pink Purple Orange Pink Gray Gray\nGreen Purple Gray Gray Blue Blue Gray Gray Gray\nRed Green Gray Orange Blue Yellow Blue Gray Gray\n\nOutput:\nYellow Yellow Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Gray Gray Gray Gray Gray Gray Gray\nPink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Gray Gray Gray Gray Gray Gray Gray\nPink Pink Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Gray Gray Gray Gray Gray Gray Gray\nGreen Green Gray Gray Gray Gray Gray Gray Gray\nRed Red Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Gray Brown Gray Purple Gray Gray Red Gray\nBrown Gray Pink Gray Orange Yellow Gray Pink Yellow\nPink Gray Red Gray Brown Blue Gray Green Brown\nGray Gray Blue Gray Green Pink Gray Purple Orange\nPink Gray Gray Gray Green Blue Gray Green Yellow\nGray Gray Pink Gray Pink Yellow Gray Orange Blue\nPink Gray Orange Gray Red Brown Gray Purple Yellow\nBlue Gray Orange Gray Orange Orange Gray Gray Brown\nBrown Gray Blue Gray Gray Brown Gray Blue Red\nGray Gray Yellow Gray Green Purple Gray Orange Orange\nBrown Gray Brown Gray Purple Purple Gray Yellow Green\nPink Gray Purple Gray Yellow Red Gray Red Orange\nGreen Gray Pink Gray Orange Green Gray Blue Gray\nGray Gray Pink Gray Blue Blue Gray Purple 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```\nBrown Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Gray Gray Gray Gray Gray Gray Gray Gray\nPink Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Gray Gray Gray Gray Gray Gray Gray Gray\nPink Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\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:\nBlue Orange Green Orange Purple Blue Purple Red Pink Blue\nGray Gray Orange Black Brown Purple Yellow Green Red Blue\nRed Orange Pink Red Orange Orange Blue Brown Green Purple\nBlue Brown Yellow Pink Green Brown Gray Pink Purple Gray\nRed Yellow Orange Yellow Red Green Brown Black Black Orange\nBrown Orange Brown Blue Gray Pink Brown Red Yellow Red\nPink Orange Brown Yellow Orange Purple Gray Brown Green Red\nYellow Red Orange Black Blue Blue Green Brown Purple Red\nGreen Blue Brown Yellow Yellow Pink Black Gray Purple Purple\nBrown Purple Green Blue Orange Purple Pink Gray Yellow Brown\n\nOutput:\nYellow Orange Gray Orange Purple Yellow Purple Purple Pink Yellow\nGray Gray Orange Gray Brown Purple Blue Gray Purple Yellow\nPurple Orange Pink Purple Orange Orange Yellow Brown Gray Purple\nYellow Brown Blue Pink Gray Brown Gray Pink Purple Gray\nPurple Blue Orange Blue Purple Gray Brown Gray Gray Orange\nBrown Orange Brown Yellow Gray Pink Brown Purple Blue Purple\nPink Orange Brown Blue Orange Purple Gray Brown Gray Purple\nBlue Purple Orange Gray Yellow Yellow Gray Brown Purple Purple\nGray Yellow Brown Blue Blue Pink Gray Gray Purple Purple\nBrown Purple Gray Yellow Orange Purple Pink Gray Blue Brown\n\n\nExample 2\nInput:\nPink Orange Yellow Red Orange Purple Black Blue Yellow Gray\nPink Blue Brown Red Gray Red Gray Orange Yellow Red\nBrown Red Yellow Orange Red Purple Black Red Purple Green\nPink Yellow Yellow Yellow Green Pink Purple Red Blue Brown\nRed Black Blue Yellow Green Blue Pink Yellow Gray Pink\nRed Black Yellow Brown Green Pink Green Black Yellow Green\nPurple Gray Gray Yellow Purple Gray Purple Orange Brown Blue\nPurple Pink Blue Purple Pink Orange Yellow Brown Orange Orange\nGreen Gray Orange Yellow Blue Orange Orange Blue Blue Black\nRed Pink Purple Red Green Green Red Purple Gray Brown\n\nOutput:\nPink Orange Blue Purple Orange Purple Gray Yellow Blue Gray\nPink Yellow Brown Purple Gray Purple Gray Orange Blue Purple\nBrown Purple Blue Orange Purple Purple Gray Purple Purple Gray\nPink Blue Blue Blue Gray Pink Purple Purple Yellow Brown\nPurple Gray Yellow Blue Gray Yellow Pink Blue Gray Pink\nPurple Gray Blue Brown Gray Pink Gray Gray Blue Gray\nPurple Gray Gray Blue Purple Gray Purple Orange Brown Yellow\nPurple Pink Yellow Purple Pink Orange Blue Brown Orange Orange\nGray Gray Orange Blue Yellow Orange Orange Yellow Yellow Gray\nPurple Pink Purple Purple Gray Gray Purple Purple Gray Brown\n\n\nExample 3\nInput:\nPink Gray Red Brown Pink Yellow Black Yellow Orange Pink\nRed Gray Yellow Black Brown Blue Brown Pink Blue Green\nPurple Brown Brown Orange Pink Gray Black Purple Black Orange\nPurple Purple Yellow Blue Purple Gray Yellow Brown Blue Green\nYellow Black Green Red Pink Black Red Red Brown Gray\nGray Yellow Yellow Red Orange Gray Brown Red Red Black\nBrown Green Brown Black Yellow Gray Orange Brown Purple Brown\nBlack Blue Pink Orange Gray Purple Green Purple Gray Yellow\nGray Black Purple Brown Red Blue Purple Brown Green Yellow\nYellow Gray Yellow Blue Orange Purple Blue Red Gray Blue\n\nOutput:\nPink Gray Purple Brown Pink Blue Gray Blue Orange Pink\nPurple Gray Blue Gray Brown Yellow Brown Pink Yellow Gray\nPurple Brown Brown Orange Pink Gray Gray Purple Gray Orange\nPurple Purple Blue Yellow Purple Gray Blue Brown Yellow Gray\nBlue Gray Gray Purple Pink Gray Purple Purple Brown Gray\nGray Blue Blue Purple Orange Gray Brown Purple Purple Gray\nBrown Gray Brown Gray Blue Gray Orange Brown Purple Brown\nGray Yellow Pink Orange Gray Purple Gray Purple Gray Blue\nGray Gray Purple Brown Purple Yellow Purple Brown Gray Blue\nBlue Gray Blue Yellow Orange Purple Yellow Purple Gray Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Gray Red Brown Green Brown Red Yellow Blue\nGray Brown Red Purple Yellow Green Yellow Gray Pink Black\nBrown Orange Pink Purple Gray Orange Blue Purple Red Blue\nPink Orange Black Orange Yellow Brown Pink Black Black Brown\nGray Red Green Gray Blue Pink Yellow Orange Gray Red\nBrown Pink Brown Black Green Green Brown Pink Purple Brown\nPink Red Purple Black Red Brown Orange Orange Pink Orange\nYellow Black Black Gray Pink Black Orange Pink Orange Brown\nRed Blue Purple Purple Purple Blue Green Orange Green Purple\nBlue Blue Purple Red Blue Brown Red Black Green Purple\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 Gray Gray Purple Brown Gray Brown Purple Blue Yellow\nGray Brown Purple Purple Blue Gray Blue Gray Pink Gray\nBrown Orange Pink Purple Gray Orange Yellow Purple Purple Yellow\nPink Orange Gray Orange Blue Brown Pink Gray Gray Brown\nGray Purple Gray Gray Yellow Pink Blue Orange Gray Purple\nBrown Pink Brown Gray Gray Gray Brown Pink Purple Brown\nPink Purple Purple Gray Purple Brown Orange Orange Pink Orange\nBlue Gray Gray Gray Pink Gray Orange Pink Orange Brown\nPurple Yellow Purple Purple Purple Yellow Gray Orange Gray Purple\nYellow Yellow Purple Purple Yellow Brown Purple Gray Gray 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:\nBlue Blue Red Green Blue Gray Pink Pink Green Gray Brown Yellow\nGreen Red Gray Blue Pink Red Blue Gray Purple Purple Gray Yellow\nGreen Red Green Purple Gray Brown Gray Green Brown Gray Pink Purple\nRed Red Blue Red Brown Pink Green Blue Blue Blue Red Blue\nBrown Pink Gray Green Red Purple Gray Green Yellow Blue Yellow Red\nGreen Pink Red Brown Red Gray Pink Pink Yellow Red Pink Yellow\nRed Pink Blue Red Brown Blue Gray Blue Green Purple Red Gray\nBlue Red Pink Red Red Blue Brown Pink Yellow Green Gray Blue\n\nOutput:\nBlue Red Red Green Blue Gray Pink Pink Green Gray Brown Yellow\nGreen Red Gray Blue Pink Red Red Gray Purple Purple Gray Yellow\nGreen Red Green Purple Gray Brown Gray Green Brown Gray Pink Purple\nRed Red Red Red Brown Pink Green Blue Blue Red Red Red\nBrown Pink Gray Green Red Purple Gray Green Yellow Red Yellow Red\nGreen Pink Red Brown Red Gray Pink Pink Yellow Red Pink Yellow\nRed Pink Red Red Brown Blue Gray Blue Green Purple Red Gray\nRed Red Pink Red Red Red Brown Pink Yellow Green Gray Blue\n\n\nExample 2\nInput:\nPink Green Brown Red Orange Brown Brown Gray Red Red\nBlue Brown Brown Red Blue Pink Green Purple Orange Red\nBlue Purple Purple Pink Blue Red Pink Gray Pink Green\nBlue Green Blue Green Red Purple Purple Purple Orange Pink\nBlue Gray Green Pink Brown Pink Brown Brown Green Red\nRed Orange Brown Green Brown Gray Green Gray Green Purple\nPurple Blue Red Green Gray Orange Gray Blue Orange Green\n\nOutput:\nPink Green Brown Red Orange Brown Brown Gray Red Red\nBlue Brown Brown Red Red Pink Green Purple Orange Red\nBlue Purple Purple Pink Red Red Pink Gray Pink Green\nBlue Green Blue Green Red Purple Purple Purple Orange Pink\nRed Gray Green Pink Brown Pink Brown Brown Green Red\nRed Orange Brown Green Brown Gray Green Gray Green Purple\nPurple Red Red Green Gray Orange Gray Blue Orange Green\n\n\nExample 3\nInput:\nPurple Gray Yellow Purple Green Yellow Pink Brown Gray Blue Gray\nBrown Red Yellow Pink Gray Yellow Blue Gray Purple Green Red\nPink Pink Brown Purple Brown Yellow Red Purple Red Blue Purple\nGreen Brown Blue Blue Yellow Pink Blue Purple Red Purple Blue\nBrown Green Green Yellow Green Red Gray Gray Red Purple Gray\nPurple Red Brown Yellow Purple Pink Pink Gray Purple Red Blue\nRed Green Purple Pink Purple Pink Yellow Green Gray Brown Red\n\nOutput:\nPurple Gray Yellow Purple Green Yellow Pink Brown Gray Blue Gray\nBrown Red Yellow Pink Gray Yellow Red Gray Purple Green Red\nPink Pink Brown Purple Brown Yellow Red Purple Red Red Purple\nGreen Brown Blue Blue Yellow Pink Red Purple Red Purple Blue\nBrown Green Green Yellow Green Red Gray Gray Red Purple Gray\nPurple Red Brown Yellow Purple Pink Pink Gray Purple Red Red\nRed Green Purple Pink Purple Pink Yellow Green Gray Brown Red\n\n\nHere is the input grid for the test example:\nInput:\nGray Brown Purple Brown Brown Orange Orange Red Orange\nGray Red Orange Gray Green Orange Orange Purple Red\nGreen Gray Blue Green Brown Pink Blue Gray Blue\nBrown Orange Orange Green Red Red Green Purple Orange\nBlue Red Brown Blue Pink Pink Brown Brown Red\nPurple Orange Red Green Green Pink Brown Purple Orange\nGreen Pink Pink Pink Orange Blue Orange Red Gray\nOrange Pink Blue Pink Red Purple Red Orange Pink\nOrange Red Blue Purple Gray Red Red Pink 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```\nGray Brown Purple Brown Brown Orange Orange Red Orange\nGray Red Orange Gray Green Orange Orange Purple Red\nGreen Gray Blue Green Brown Pink Blue Gray Red\nBrown Orange Orange Green Red Red Green Purple Orange\nRed Red Brown Blue Pink Pink Brown Brown Red\nPurple Orange Red Green Green Pink Brown Purple Orange\nGreen Pink Pink Pink Orange Blue Orange Red Gray\nOrange Pink Blue Pink Red Purple Red Orange Pink\nOrange Red Red Purple Gray Red Red Pink 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 Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack 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\nBlack 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\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red 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\nRed 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\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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\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 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 Red Red Red Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red 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 Red Black Black Black Black Black\nRed Black Black Black Black Black Red Black Black Black Black Black\nRed Black Black Black Black Black Red Black Black Black Black Black\nRed 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack 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 Black\nBlack Black Black Black 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 Red Red Red Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 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 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 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\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 Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black\nRed Black Red Black Black Black Black Black Black Black Black Black Black Black\nRed Black Red 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\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 Black Black Black Black Black 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 Black Black Black Black Black 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 Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue 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 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 Black Black Black Black Black 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:\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 Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black\nBlack Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow 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\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 Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black Green Green Red Red Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black Green Green Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black Green Green Red Red Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black Green Green Red Red Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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\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 Purple Purple Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Pink Pink 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:\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 Pink Pink Brown Brown Black Black Black Black Black Black Brown Brown Pink Pink Black Black\nBlack Black Pink Pink Brown Brown Black Black Black Black Black Black Brown Brown Pink Pink Black Black\nBlack Black Pink Pink Purple Purple Black Black Black Black Black Black Purple Purple Pink Pink Black Black\nBlack Black Pink Pink Purple Purple Black Black Black Black Black Black Purple Purple Pink Pink 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 Purple Purple Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Pink Pink 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 Pink Pink Purple Purple Black Black Black Black Black Black Purple Purple Pink Pink Black Black\nBlack Black Pink Pink Purple Purple Black Black Black Black Black Black Purple Purple Pink Pink Black Black\nBlack Black Pink Pink Brown Brown Black Black Black Black Black Black Brown Brown Pink Pink Black Black\nBlack Black Pink Pink Brown Brown Black Black Black Black Black Black Brown Brown Pink Pink 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 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 Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange 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\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 Gray Gray Orange Orange Black Black Black Black Orange Orange Gray Gray Black Black\nBlack Black Gray Gray Orange Orange Black Black Black Black Orange Orange Gray Gray Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink 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 Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Gray Gray Orange Orange Black Black Black Black Orange Orange Gray Gray Black Black\nBlack Black Gray Gray Orange Orange Black Black Black Black Orange Orange 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\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 Black Black Black Black Purple\nBlack Black Purple Black Black Black\nBlack Black Purple Black Black Black\nBlack Purple Purple Purple Purple Black\nBlack Purple Purple Purple Black Black\nBrown Black Black Black Black Yellow\n\nOutput:\nPurple Purple Purple Purple\nBlue Blue Blue Blue\nYellow Yellow Yellow Yellow\nBrown Brown Brown Brown\n\n\nExample 2\nInput:\nPurple Black Black Black Black Pink\nBlack Black Orange Orange Black Black\nBlack Black Orange Orange Black Black\nBlack Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Black\nGreen Black Black Black Black Orange\n\nOutput:\nPink Pink Pink Pink\nPurple Purple Purple Purple\nOrange Orange Orange Orange\nGreen Green Green Green\n\n\nExample 3\nInput:\nGreen Black Black Black Black Blue\nBlack Black Blue Black Black Black\nBlack Black Blue Blue Blue Black\nBlack Blue Blue Blue Black Black\nBlack Black Black Blue Black Black\nGray Black Black Black Black Pink\n\nOutput:\nBlue Blue Blue Blue\nGreen Green Green Green\nPink Pink Pink Pink\nGray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Purple\nBlack Black Black Red Black Black\nBlack Red Red Red Black Black\nBlack Black Red Red Red Black\nBlack Black Red Black Black Black\nRed Black 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```\nPurple Purple Purple Purple\nGray Gray Gray Gray\nBrown Brown Brown Brown\nRed 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red Red Red Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue 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 Black 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 Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray 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 Black 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 Red Red Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Red Red Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue 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\n\n\nExample 3\nInput:\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Green Green Black Red Red Red Red\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Green Green Black Red Red Red Red\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue 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 Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue 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\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green 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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green 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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 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 Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black 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 Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 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 Black Black Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 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 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 Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 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 Black Black Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 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\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 Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Purple\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 Purple Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Purple\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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Black Orange\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Orange Black Orange\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 Orange Black Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Orange\n\n\nExample 3\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 Gray Black\nBlack Black Black Black Black Black Black Gray\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 Black Black Gray Black Black Black Gray\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 Gray Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Pink Pink\nBlack Black Black Black Black Pink\nBlack Black Black Pink Black Pink\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 Pink Pink Black Pink Pink\nBlack Black Pink Black Black Pink\nBlack Black Pink Black Black Pink\nBlack Pink Pink Black Pink Pink\nBlack Black Pink Black Black Pink\nBlack Black Pink 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Pink Red Black Black Black Orange Purple Black Yellow\nYellow Black Black Black Black Black Black Blue Black Black Black Yellow\nYellow Black Yellow Black Black Pink Blue Black Black Black Pink Yellow\nYellow Purple Black Black Black Black Black Black Purple Blue Purple Yellow\nYellow Red Purple Red Black Black Green Black Black Black Black Yellow\nYellow Black Black Black Black Black Pink Purple Black Black Black Yellow\nYellow Red Black Black Pink Red Black Green Black Black Black Yellow\nYellow Black Green Black Brown Black Black Black Black Orange Black Yellow\nYellow Black Orange Green Brown Black Yellow Black Black Black Black Yellow\nYellow Black Red Black Black Pink Purple Black Black Black Black Yellow\nYellow 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\nYellow Black Black Yellow Yellow Black Black Black Yellow Yellow Black Yellow\nYellow Black Black Black Black Black Black Yellow Black Black Black Yellow\nYellow Black Yellow Black Black Yellow Yellow Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Yellow Black Black Black Yellow\nYellow Yellow Black Black Yellow Yellow Black Yellow Black Black Black Yellow\nYellow Black Yellow Black Yellow Black Black Black Black Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Black Yellow Black Black Black Black Yellow\nYellow Black Yellow Black Black Yellow Yellow Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Orange Black Black Blue Green Black Purple Black Black Green\nGreen Purple Red Black Black Black Purple Black Black Green Purple Green\nGreen Black Black Green Orange Black Gray Red Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Yellow Black Black Black Purple Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Orange Black Black Green\nGreen Black Black Black Black Black Black Yellow Black Black Blue Green\nGreen Black Black Black Black Black Orange Black Blue Black Black Green\nGreen Black Red Orange Black Black Orange Black Black Black Black Green\nGreen Black Black Black Brown Brown Brown Black Yellow Black Yellow Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Green Black Black Green Green Black Green Black Black Green\nGreen Green Green Black Black Black Green Black Black Green Green Green\nGreen Black Black Green Green Black Green Green Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Green Black Black Black Green Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Green Black Black Green\nGreen Black Black Black Black Black Black Green Black Black Green Green\nGreen Black Black Black Black Black Green Black Green Black Black Green\nGreen Black Green Green Black Black Green Black Black Black Black Green\nGreen Black Black Black Green Green Green Black Green Black Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Pink Purple Purple Black Black Black Black Pink Green Green\nGreen Black Green Purple Black Black Pink Black Orange Black Purple Green\nGreen Black Black Green Brown Brown Pink Black Black Black Black Green\nGreen Black Orange Yellow Black Black Black Yellow Blue Black Black Green\nGreen Black Black Black Black Black Gray Black Black Purple Black Green\nGreen Black Black Black Green Black Black Yellow Black Red Purple Green\nGreen Red Black Black Black Black Black Black Blue Orange Green Green\nGreen Brown Black Purple Black Black Blue Black Black Black Red Green\nGreen Black Pink Orange Black Black Black Blue Brown Blue Black Green\nGreen Black Black Yellow Yellow Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Green Green Green Black Black Black Black Green Green Green\nGreen Black Green Green Black Black Green Black Green Black Green Green\nGreen Black Black Green Green Green Green Black Black Black Black Green\nGreen Black Green Green Black Black Black Green Green Black Black Green\nGreen Black Black Black Black Black Green Black Black Green Black Green\nGreen Black Black Black Green Black Black Green Black Green Green Green\nGreen Green Black Black Black Black Black Black Green Green Green Green\nGreen Green Black Green Black Black Green Black Black Black Green Green\nGreen Black Green Green Black Black Black Green Green Green Black Green\nGreen Black Black Green Green Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Pink Black Black Black Black Black Brown Gray\nGray Black Black Pink Black Red Black Yellow Black Red Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Red Black Black Black Black Black Black Black Gray\nGray Orange Brown Black Black Black Black Black Black Black Brown Gray\nGray Black Black Black Yellow Black Black Red Yellow Blue Gray Gray\nGray Black Purple Red Brown Black Black Green Black Black Black Gray\nGray Black Orange Pink Black Black Black Black Black Black Black Gray\nGray Black Black Brown Black Green Gray Orange Black Pink Black Gray\nGray Black Blue Black Black Orange Blue Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Gray Black Black Black Black Black Gray Gray\nGray Black Black Gray Black Gray Black Gray Black Gray Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Gray Black Black Black Black Black Black Black Gray\nGray Gray Gray Black Black Black Black Black Black Black Gray Gray\nGray Black Black Black Gray Black Black Gray Gray Gray Gray Gray\nGray Black Gray Gray Gray Black Black Gray Black Black Black Gray\nGray Black Gray Gray Black Black Black Black Black Black Black Gray\nGray Black Black Gray Black Gray Gray Gray Black Gray Black Gray\nGray Black Gray Black Black Gray Gray Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Black Red Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Blue Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow 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 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 Blue Black Red Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nYellow Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlue Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue 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\n\nOutput:\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nYellow Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlue Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue 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\n\n\nExample 3\nInput:\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Blue Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Blue\nBlack Black Black Black Red Black Black Black Black Yellow\nBlack Black Black Black Black Black Red Black Yellow Black\nBlack Blue Black Black Black Red Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Yellow 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 Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Blue Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Green\nBlack Black Black Black Red Black Black Black Black Green\nBlack Black Black Black Black Black Red Black Yellow Black\nBlack Blue Black Black Black Red Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Yellow 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 Yellow 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 Red\nBlue Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black\nBlack Blue Black Black Black Black Black Yellow 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 Yellow 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 Red\nBlue Black Blue Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Green Black Black\nBlack Blue Black Black Black Black Black Green 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple\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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green 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\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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Green Green Green Green Green Green Green Green Pink Pink\nBlack Black Pink Pink Green Green Green Green Green Green Green Green Pink Pink\nBlack Black Pink Pink Green Green Green Green Green Green Green Green Pink Pink\nBlack Black Pink Pink Green Green Green Green Green Green Green Green Pink Pink\nBlack Black Pink Pink Green Green Green Green Green Green Green Green Pink Pink\nBlack Black Pink Pink Green Green Green Green Green Green Green Green Pink Pink\nBlack Black Pink Pink Green Green Green Green Green Green Green Green Pink Pink\nBlack Black Pink Pink Green Green Green Green Green Green Green Green Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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 Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green 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 Black Orange Orange\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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Green Green Green Green Green Green Green Green Orange Orange\nBlack Black Orange Orange Green Green Green Green Green Green Green Green Orange Orange\nBlack Black Orange Orange Green Green Green Green Green Green Green Green Orange Orange\nBlack Black Orange Orange Green Green Green Green Green Green Green Green Orange Orange\nBlack Black Orange Orange Green Green Green Green Green Green Green Green Orange Orange\nBlack Black Orange Orange Green Green Green Green Green Green Green Green Orange Orange\nBlack Black Orange Orange Green Green Green Green Green Green Green Green Orange Orange\nBlack Black Orange Orange Green Green Green Green Green Green Green Green Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black 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 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray 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```\nBlack Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black 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\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 Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Green Green 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\n\n\nExample 2\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 Blue Black Black Blue Black Black Black\nBlack 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\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 Black Blue Green Green Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Green Green 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 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 Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Blue Black Black Black\nBlack Black Black Blue Blue Blue 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 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 Black Black Black Black Black Black\nBlack Black Black Blue Green Blue Green Blue Black Black Black\nBlack Black Black Blue Blue Blue Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Green Blue Green 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 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 Blue Black Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack 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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Blue Green Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Green Green Black Black\nBlack Black Black Black Black Green Blue Blue Green Black Black Black Black\nBlack Black Black Black Black Black Green Blue Green 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```",
"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\nBrown Black Black Black Black Blue Black Green Green Black Black Black\nYellow Gray Black Black Black Red Purple Purple Gray Black Black Blue\nBlue Yellow Black Black Black Brown Gray Pink Red Black Black Purple\nPurple Blue Orange Black Black Purple Yellow Gray Orange Black Black Orange\nGray Brown Blue Black Green Gray Brown Blue Brown Green Black Brown\nPink Green Green Brown Purple Pink Green Brown Yellow Yellow Black Gray\nRed Pink Gray Gray Orange Yellow Red Red Pink Gray Blue Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Blue Black Green Green Black Black Black\nBrown Gray Black Black Black Blue Purple Green Green Black Black Blue\nBrown Gray Black Black Black Blue Purple Green Green Black Black Blue\nBrown Gray Orange Black Black Blue Purple Green Green Black Black Blue\nBrown Gray Orange Black Green Blue Purple Green Green Green Black Blue\nBrown Gray Orange Brown Green Blue Purple Green Green Green Black Blue\nBrown Gray Orange Brown Green Blue Purple Green Green Green Blue Blue\n\n\nExample 2\nInput:\nGreen Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Brown Black\nPurple Black Black Black Black Black Black Black Orange Black\nPink Black Pink Black Purple Black Black Black Purple Black\nGray Yellow Yellow Black Gray Purple Black Brown Yellow Black\nRed Green Brown Black Blue Brown Red Orange Green Black\nBlue Gray Orange Pink Pink Blue Blue Blue Pink Purple\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Brown Black\nGreen Black Black Black Black Black Black Black Brown Black\nGreen Black Pink Black Purple Black Black Black Brown Black\nGreen Yellow Pink Black Purple Purple Black Brown Brown Black\nGreen Yellow Pink Black Purple Purple Red Brown Brown Black\nGreen Yellow Pink Pink Purple Purple Red Brown Brown Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Brown Black Black Black\nGray Black Black Black Black Gray Black Yellow Black Pink Black\nPink Black Red Pink Black Blue Black Gray Black Purple Black\nGreen Black Green Blue Green Pink Black Green Black Orange Pink\nBlue Black Purple Gray Red Orange Purple Pink Blue Gray Gray\nYellow Brown Blue Orange Gray Brown Pink Red Gray Brown Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Brown Black Black Black\nGray Black Black Black Black Yellow Black Brown Black Pink Black\nGray Black Red Pink Black Yellow Black Brown Black Pink Black\nGray Black Red Pink Green Yellow Black Brown Black Pink Pink\nGray Black Red Pink Green Yellow Purple Brown Blue Pink Pink\nGray Brown Red Pink Green Yellow Purple Brown Blue Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Pink Black Purple Black Black\nBlack Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Blue Black Pink Black Black\nRed Black Black Purple Yellow Black Brown Black Orange\nBrown Blue Black Yellow Brown Brown Yellow Black Pink\nGray Yellow Black Gray Gray Blue Gray Black Red\nPurple Gray Brown Green Green Red Green Black Brown\nBlue Red Red Blue Red Gray Blue Black Green\nPink Brown Purple Orange Purple Yellow Red Yellow 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 Pink Black Purple Black Black\nBlack Black Black Black Pink Black Purple Black Black\nBlack Black Black Black Pink Black Purple Black Black\nRed Black Black Purple Pink Black Purple Black Orange\nRed Blue Black Purple Pink Brown Purple Black Orange\nRed Blue Black Purple Pink Brown Purple Black Orange\nRed Blue Brown Purple Pink Brown Purple Black Orange\nRed Blue Brown Purple Pink Brown Purple Black Orange\nRed Blue Brown Purple Pink Brown Purple Yellow 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange 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:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\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 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\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Blue Gray Gray 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\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```\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 Blue 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:\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Pink Pink Pink Pink Pink Yellow Black Black Black\nBlack Black Black Yellow Pink Pink Pink Pink Pink Yellow Black Black Black\nBlack Black Black Yellow Pink Pink Pink Pink Pink Yellow Black Black Black\nBlack Black Black Yellow Pink Pink Pink Pink Pink Yellow Black Black Black\nBlack Black Black Yellow Pink Pink Pink Pink Pink Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Orange Orange Orange Orange Yellow Black Black\nBlack Black Yellow Orange Orange Orange Orange Yellow Black Black\nBlack Black Yellow Orange Orange Orange Orange Yellow Black Black\nBlack Black Yellow Orange Orange Orange Orange Yellow Black Black\nBlack Black Yellow Yellow Yellow 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\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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow 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\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 Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Gray Gray Gray Brown Black Black Black\nBlack Black Brown Gray Gray Gray Brown Black Black Black\nBlack Black Brown Gray Gray Gray Brown Black Black Black\nBlack Black Brown Brown Brown Brown 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\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 Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown 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\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 Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Pink Pink Pink Gray Black Black Black Black\nBlack Black Black Gray Pink Pink Pink Gray Black Black Black Black\nBlack Black Black Gray Pink Pink Pink Gray Black Black Black Black\nBlack Black Black 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 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 Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black 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 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\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 Orange Brown Brown Brown Black Yellow Yellow Yellow Black\nBlack Brown Brown Brown Brown Black Yellow Yellow Yellow Black\nBlack Brown Brown Brown Brown Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow 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 Orange Brown Brown Brown Black Yellow Yellow Yellow Black\nBlack Brown Brown Brown Brown Black Yellow Yellow Yellow Black\nBlack Brown Brown Brown Brown Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Orange Green Black Black\nBlack Black Pink Pink Black Green Green Green Black Black\nBlack Black Pink Pink Black Green Green Green Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray 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 Green Orange Green Black Black\nBlack Black Pink Pink Black Green Green Green Black Black\nBlack Black Pink Pink Black Green Green Green Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Orange Black Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Red Red Black Gray Gray Gray Black\nBlack Black Black Red Red Black Orange Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Brown 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 Red Red Black Black Black Black Black\nBlack Black Black Red Red Black Gray Gray Gray Black\nBlack Black Black Red Red Black Orange Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange\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 Brown Brown Brown Black\nBlack Black Yellow Yellow Black Black Brown Brown Brown Black\nBlack Black Yellow Yellow Black Black Brown Orange Brown Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue 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 Brown Brown Brown Black\nBlack Black Yellow Yellow Black Black Brown Brown Brown Black\nBlack Black Yellow Yellow Black Black Brown Orange Brown Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Blue Blue Blue Black Orange Orange Orange\nBlack Black Black Blue Blue Blue Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Black 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\nBlack Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black\nBlack Blue Blue Black Black Black Black\nBlack Blue Blue Black Red Red Red\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Blue Blue\nBlack Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black\nBlack Orange Orange Black Black Black Black\nBlack Blue Blue Black Red Red Red\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Purple Purple Black Black Green Green\nBlack Black Black Black Black Green Green\nBlack Black Black Black Gray Gray Gray\nBlack Red Red Red Gray Gray Gray\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Black Black Green Green\nBlack Black Black Black Black Green Green\nBlack Black Black Black Gray Gray Gray\nBlack Red Red Red Gray Green Green\nBlack Black Black Black Blue Green Green\nBlack Black Black Black Gray Gray Gray\nBlack Red Red Red Purple Purple Purple\n\n\nExample 3\nInput:\nBrown Brown Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Pink Black Brown Brown Black Black\nBlack Black Black Pink Gray Brown Brown Black Black\nBlack Black Black Black Gray Brown Brown Brown Black\nBlack Black Black Black Gray Gray Black Black Pink\nBlack Black Black Black Black Black Black Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink 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\nBlack Black Black Black Black Green Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink 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 Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink 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\nBlack Black Black Black Black Green Pink Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Gray 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 Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Yellow Blue 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Blue Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Blue Yellow Blue Yellow Black Black Black\nBlack Black Black Blue Blue Yellow Blue Black Black Black\nBlack Black Black Blue Yellow Blue Yellow Black Black Black\nBlack Black Black Yellow Yellow Blue Yellow 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 Yellow Blue Yellow Blue Black Black Black\nBlack Black Black Yellow Yellow Blue Yellow Black Black Black\nBlack Black Black Yellow Blue Yellow Blue Black Black Black\nBlack Black Black Blue Blue Yellow 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 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 Yellow Blue Black Black Black Black Black Black\nBlack Black Black Yellow 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\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 Blue Yellow Black Black Black Black Black Black\nBlack Black Black Blue Blue 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\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 Blue Blue Yellow Black Black Black Black Black\nBlack Yellow Blue Blue Black Black Black Black Black\nBlack Yellow Blue Blue 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 Black Black Black\nBlack Yellow Yellow Blue Black Black Black Black Black\nBlack Blue Yellow Yellow Black Black Black Black Black\nBlack Blue Yellow Yellow 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:\nPink Pink Pink Black Black Black Pink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red\nBlack Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red\nBlack Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow 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 Purple Purple Purple Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray 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 Black Black Gray Gray Gray 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 Black Black Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Gray Gray Gray\nBlack Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Gray Gray Gray\nBlack Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nPink Pink Pink Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange 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 Black Orange Orange 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 Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Pink Pink Pink Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Pink Pink Pink Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown 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 Black Black Brown Brown Brown 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 Black Black Brown Brown Brown 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 Black Black Pink Pink Pink Yellow Yellow Yellow Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Black Black Black Blue Blue Blue\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Orange Orange Orange\nBlack Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Orange Orange Orange\nBlack Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Green Green Green Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black\nOrange Orange Orange Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black\nPink Pink Pink Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray 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 Black Orange Orange Orange\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 Orange Orange Orange\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 Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange 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 Black Orange Orange 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 Black Orange Orange 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 Black 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 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 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow\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 Pink Pink Pink\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 Pink Pink Pink\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 Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBrown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Blue Blue Blue Red Red Red\nBrown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Blue Blue Blue Red Red Red\nBrown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Blue Blue Blue Red Red Red\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black 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 Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink 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 Pink Pink 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 Pink Pink 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 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 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 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Orange Orange Orange Red Red Red Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Orange Orange Orange Red Red Red Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Orange Orange Orange Red Red Red Black Black Black Black Black Black Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Blue Blue Blue\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nOrange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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 Red Red Red Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Red Red Red Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Red Red Red Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black 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 Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow\nPink Pink Pink Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nPink Pink Pink Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nPink Pink Pink Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nPink Pink Pink Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red 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 Black Black Black Black Red 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 Black Black Black Black Red Red Red Red Red Red 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:\nPurple Purple Brown Brown Orange Orange Yellow Yellow Gray Gray Purple Purple Yellow Yellow Green Green\nPurple Purple Brown Brown Orange Orange Yellow Yellow Gray Gray Purple Purple Yellow Yellow Green Green\nOrange Orange Orange Orange Pink Pink Gray Gray Purple Purple Green Green Orange Orange Green Green\nOrange Orange Orange Orange Pink Pink Gray Gray Purple Purple Green Green Orange Orange Green Green\nBlue Blue Red Red Gray Gray Yellow Yellow Orange Orange Green Green Purple Purple Brown Brown\nBlue Blue Red Red Gray Gray Yellow Yellow Orange Orange Green Green Purple Purple Brown Brown\nBlue Blue Pink Pink Red Red Yellow Yellow Green Green Green Green Gray Gray Orange Orange\nBlue Blue Pink Pink Red Red Yellow Yellow Green Green Green Green Gray Gray Orange Orange\nPurple Purple Orange Orange Yellow Yellow Purple Purple Yellow Yellow Purple Purple Pink Pink Pink Pink\nPurple Purple Orange Orange Yellow Yellow Purple Purple Yellow Yellow Purple Purple Pink Pink Pink Pink\nYellow Yellow Purple Purple Blue Blue Purple Purple Yellow Yellow Blue Blue Blue Blue Gray Gray\nYellow Yellow Purple Purple Blue Blue Purple Purple Yellow Yellow Blue Blue Blue Blue Gray Gray\nBlue Blue Purple Purple Purple Purple Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple\nBlue Blue Purple Purple Purple Purple Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple\nBlue Blue Red Red Brown Brown Brown Brown Brown Brown Green Green Gray Gray Brown Brown\nBlue Blue Red Red Brown Brown Brown Brown Brown Brown Green Green Gray Gray Brown Brown\nPink Pink Brown Brown Purple Purple Gray Gray Purple Purple Orange Orange Orange Orange Pink Pink\nPink Pink Brown Brown Purple Purple Gray Gray Purple Purple Orange Orange Orange Orange Pink Pink\nGray Gray Red Red Green Green Purple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow\nGray Gray Red Red Green Green Purple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow\nBrown Brown Brown Brown Blue Blue Pink Pink Gray Gray Red Red Orange Orange Pink Pink\nBrown Brown Brown Brown Blue Blue Pink Pink Gray Gray Red Red Orange Orange Pink Pink\nBlue Blue Red Red Pink Pink Pink Pink Yellow Yellow Purple Purple Orange Orange Orange Orange\nBlue Blue Red Red Pink Pink Pink Pink Yellow Yellow Purple Purple Orange Orange Orange Orange\n\nOutput:\nPurple Purple Brown Brown Pink Pink Red Red Gray Gray Purple Purple Red Red Yellow Yellow\nPurple Purple Brown Brown Pink Pink Red Red Gray Gray Purple Purple Red Red Yellow Yellow\nPink Pink Pink Pink Yellow Yellow Gray Gray Purple Purple Yellow Yellow Pink Pink Yellow Yellow\nPink Pink Pink Pink Yellow Yellow Gray Gray Purple Purple Yellow Yellow Pink Pink Yellow Yellow\nGreen Green Blue Blue Gray Gray Red Red Pink Pink Yellow Yellow Purple Purple Brown Brown\nGreen Green Blue Blue Gray Gray Red Red Pink Pink Yellow Yellow Purple Purple Brown Brown\nGreen Green Yellow Yellow Blue Blue Red Red Yellow Yellow Yellow Yellow Gray Gray Pink Pink\nGreen Green Yellow Yellow Blue Blue Red Red Yellow Yellow Yellow Yellow Gray Gray Pink Pink\nPurple Purple Pink Pink Red Red Purple Purple Red Red Purple Purple Yellow Yellow Yellow Yellow\nPurple Purple Pink Pink Red Red Purple Purple Red Red Purple Purple Yellow Yellow Yellow Yellow\nRed Red Purple Purple Green Green Purple Purple Red Red Green Green Green Green Gray Gray\nRed Red Purple Purple Green Green Purple Purple Red Red Green Green Green Green Gray Gray\nGreen Green Purple Purple Purple Purple Green Green Pink Pink Pink Pink Pink Pink Purple Purple\nGreen Green Purple Purple Purple Purple Green Green Pink Pink Pink Pink Pink Pink Purple Purple\nGreen Green Blue Blue Brown Brown Brown Brown Brown Brown Yellow Yellow Gray Gray Brown Brown\nGreen Green Blue Blue Brown Brown Brown Brown Brown Brown Yellow Yellow Gray Gray Brown Brown\nYellow Yellow Brown Brown Purple Purple Gray Gray Purple Purple Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Brown Brown Purple Purple Gray Gray Purple Purple Pink Pink Pink Pink Yellow Yellow\nGray Gray Blue Blue Yellow Yellow Purple Purple Brown Brown Pink Pink Brown Brown Red Red\nGray Gray Blue Blue Yellow Yellow Purple Purple Brown Brown Pink Pink Brown Brown Red Red\nBrown Brown Brown Brown Green Green Yellow Yellow Gray Gray Blue Blue Pink Pink Yellow Yellow\nBrown Brown Brown Brown Green Green Yellow Yellow Gray Gray Blue Blue Pink Pink Yellow Yellow\nGreen Green Blue Blue Yellow Yellow Yellow Yellow Red Red Purple Purple Pink Pink Pink Pink\nGreen Green Blue Blue Yellow Yellow Yellow Yellow Red Red Purple Purple Pink Pink Pink Pink\n\n\nExample 2\nInput:\nYellow Yellow Orange Orange Purple Purple Red Red Yellow Yellow Brown Brown Orange Orange\nYellow Yellow Orange Orange Purple Purple Red Red Yellow Yellow Brown Brown Orange Orange\nRed Red Gray Gray Yellow Yellow Green Green Yellow Yellow Purple Purple Red Red\nRed Red Gray Gray Yellow Yellow Green Green Yellow Yellow Purple Purple Red Red\nPurple Purple Gray Gray Gray Gray Blue Blue Green Green Purple Purple Gray Gray\nPurple Purple Gray Gray Gray Gray Blue Blue Green Green Purple Purple Gray Gray\nPurple Purple Brown Brown Pink Pink Orange Orange Green Green Brown Brown Blue Blue\nPurple Purple Brown Brown Pink Pink Orange Orange Green Green Brown Brown Blue Blue\nPurple Purple Yellow Yellow Gray Gray Pink Pink Pink Pink Brown Brown Pink Pink\nPurple Purple Yellow Yellow Gray Gray Pink Pink Pink Pink Brown Brown Pink Pink\nBrown Brown Orange Orange Purple Purple Purple Purple Brown Brown Gray Gray Green Green\nBrown Brown Orange Orange Purple Purple Purple Purple Brown Brown Gray Gray Green Green\nBrown Brown Pink Pink Red Red Purple Purple Orange Orange Brown Brown Red Red\nBrown Brown Pink Pink Red Red Purple Purple Orange Orange Brown Brown Red Red\nOrange Orange Red Red Purple Purple Blue Blue Blue Blue Purple Purple Blue Blue\nOrange Orange Red Red Purple Purple Blue Blue Blue Blue Purple Purple Blue Blue\nOrange Orange Orange Orange Blue Blue Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nOrange Orange Orange Orange Blue Blue Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nPink Pink Pink Pink Pink Pink Orange Orange Pink Pink Brown Brown Orange Orange\nPink Pink Pink Pink Pink Pink Orange Orange Pink Pink Brown Brown Orange Orange\n\nOutput:\nRed Red Pink Pink Purple Purple Blue Blue Red Red Brown Brown Pink Pink\nRed Red Pink Pink Purple Purple Blue Blue Red Red Brown Brown Pink Pink\nBlue Blue Gray Gray Red Red Yellow Yellow Red Red Purple Purple Blue Blue\nBlue Blue Gray Gray Red Red Yellow Yellow Red Red Purple Purple Blue Blue\nPurple Purple Gray Gray Gray Gray Green Green Yellow Yellow Purple Purple Gray Gray\nPurple Purple Gray Gray Gray Gray Green Green Yellow Yellow Purple Purple Gray Gray\nPurple Purple Brown Brown Yellow Yellow Pink Pink Yellow Yellow Brown Brown Green Green\nPurple Purple Brown Brown Yellow Yellow Pink Pink Yellow Yellow Brown Brown Green Green\nPurple Purple Red Red Gray Gray Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow\nPurple Purple Red Red Gray Gray Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow\nBrown Brown Pink Pink Purple Purple Purple Purple Brown Brown Gray Gray Yellow Yellow\nBrown Brown Pink Pink Purple Purple Purple Purple Brown Brown Gray Gray Yellow Yellow\nBrown Brown Yellow Yellow Blue Blue Purple Purple Pink Pink Brown Brown Blue Blue\nBrown Brown Yellow Yellow Blue Blue Purple Purple Pink Pink Brown Brown Blue Blue\nPink Pink Blue Blue Purple Purple Green Green Green Green Purple Purple Green Green\nPink Pink Blue Blue Purple Purple Green Green Green Green Purple Purple Green Green\nPink Pink Pink Pink Green Green Red Red Pink Pink Green Green Red Red\nPink Pink Pink Pink Green Green Red Red Pink Pink Green Green Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Yellow Yellow Brown Brown Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Yellow Yellow Brown Brown Pink Pink\n\n\nExample 3\nInput:\nPurple Purple Green Green Yellow Yellow Purple Purple Purple Purple Brown Brown Orange Orange\nPurple Purple Green Green Yellow Yellow Purple Purple Purple Purple Brown Brown Orange Orange\nPink Pink Orange Orange Blue Blue Blue Blue Pink Pink Blue Blue Pink Pink\nPink Pink Orange Orange Blue Blue Blue Blue Pink Pink Blue Blue Pink Pink\nPink Pink Blue Blue Green Green Blue Blue Gray Gray Blue Blue Purple Purple\nPink Pink Blue Blue Green Green Blue Blue Gray Gray Blue Blue Purple Purple\nYellow Yellow Purple Purple Yellow Yellow Gray Gray Orange Orange Purple Purple Orange Orange\nYellow Yellow Purple Purple Yellow Yellow Gray Gray Orange Orange Purple Purple Orange Orange\nBrown Brown Pink Pink Green Green Green Green Purple Purple Green Green Blue Blue\nBrown Brown Pink Pink Green Green Green Green Purple Purple Green Green Blue Blue\nPink Pink Brown Brown Blue Blue Gray Gray Pink Pink Orange Orange Green Green\nPink Pink Brown Brown Blue Blue Gray Gray Pink Pink Orange Orange Green Green\nGray Gray Brown Brown Green Green Blue Blue Yellow Yellow Yellow Yellow Red Red\nGray Gray Brown Brown Green Green Blue Blue Yellow Yellow Yellow Yellow Red Red\nBlue Blue Yellow Yellow Brown Brown Pink Pink Red Red Purple Purple Yellow Yellow\nBlue Blue Yellow Yellow Brown Brown Pink Pink Red Red Purple Purple Yellow Yellow\nGreen Green Orange Orange Red Red Brown Brown Gray Gray Blue Blue Yellow Yellow\nGreen Green Orange Orange Red Red Brown Brown Gray Gray Blue Blue Yellow Yellow\nBlue Blue Blue Blue Purple Purple Yellow Yellow Orange Orange Pink Pink Brown Brown\nBlue Blue Blue Blue Purple Purple Yellow Yellow Orange Orange Pink Pink Brown Brown\nGray Gray Yellow Yellow Orange Orange Brown Brown Green Green Gray Gray Gray Gray\nGray Gray Yellow Yellow Orange Orange Brown Brown Green Green Gray Gray Gray Gray\n\nOutput:\nPurple Purple Yellow Yellow Red Red Purple Purple Purple Purple Brown Brown Pink Pink\nPurple Purple Yellow Yellow Red Red Purple Purple Purple Purple Brown Brown Pink Pink\nYellow Yellow Pink Pink Green Green Green Green Yellow Yellow Green Green Yellow Yellow\nYellow Yellow Pink Pink Green Green Green Green Yellow Yellow Green Green Yellow Yellow\nYellow Yellow Green Green Yellow Yellow Green Green Gray Gray Green Green Purple Purple\nYellow Yellow Green Green Yellow Yellow Green Green Gray Gray Green Green Purple Purple\nRed Red Purple Purple Red Red Gray Gray Pink Pink Purple Purple Pink Pink\nRed Red Purple Purple Red Red Gray Gray Pink Pink Purple Purple Pink Pink\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Green Green\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Green Green\nYellow Yellow Brown Brown Green Green Gray Gray Yellow Yellow Pink Pink Yellow Yellow\nYellow Yellow Brown Brown Green Green Gray Gray Yellow Yellow Pink Pink Yellow Yellow\nGray Gray Brown Brown Yellow Yellow Green Green Red Red Red Red Blue Blue\nGray Gray Brown Brown Yellow Yellow Green Green Red Red Red Red Blue Blue\nGreen Green Red Red Brown Brown Yellow Yellow Blue Blue Purple Purple Red Red\nGreen Green Red Red Brown Brown Yellow Yellow Blue Blue Purple Purple Red Red\nYellow Yellow Pink Pink Blue Blue Brown Brown Gray Gray Green Green Red Red\nYellow Yellow Pink Pink Blue Blue Brown Brown Gray Gray Green Green Red Red\nGreen Green Green Green Purple Purple Red Red Pink Pink Yellow Yellow Brown Brown\nGreen Green Green Green Purple Purple Red Red Pink Pink Yellow Yellow Brown Brown\nGray Gray Red Red Pink Pink Brown Brown Yellow Yellow Gray Gray Gray Gray\nGray Gray Red Red Pink Pink Brown Brown Yellow Yellow Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Blue Blue Yellow Yellow Purple Purple Green Green Orange Orange Gray Gray Pink Pink Pink Pink\nYellow Yellow Blue Blue Yellow Yellow Purple Purple Green Green Orange Orange Gray Gray Pink Pink Pink Pink\nRed Red Orange Orange Blue Blue Red Red Green Green Blue Blue Pink Pink Pink Pink Blue Blue\nRed Red Orange Orange Blue Blue Red Red Green Green Blue Blue Pink Pink Pink Pink Blue Blue\nPink Pink Yellow Yellow Pink Pink Green Green Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown\nPink Pink Yellow Yellow Pink Pink Green Green Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown\nGreen Green Red Red Blue Blue Blue Blue Red Red Purple Purple Orange Orange Brown Brown Gray Gray\nGreen Green Red Red Blue Blue Blue Blue Red Red Purple Purple Orange Orange Brown Brown Gray Gray\nPurple Purple Blue Blue Yellow Yellow Yellow Yellow Orange Orange Red Red Blue Blue Brown Brown Brown Brown\nPurple Purple Blue Blue Yellow Yellow Yellow Yellow Orange Orange Red Red Blue Blue Brown Brown Brown Brown\nGreen Green Purple Purple Brown Brown Purple Purple Gray Gray Brown Brown Yellow Yellow Pink Pink Pink Pink\nGreen Green Purple Purple Brown Brown Purple Purple Gray Gray Brown Brown Yellow Yellow Pink Pink Pink Pink\nOrange Orange Red Red Orange Orange Purple Purple Green Green Pink Pink Brown Brown Gray Gray Green Green\nOrange Orange Red Red Orange Orange Purple Purple Green Green Pink Pink Brown Brown Gray Gray Green Green\nPurple Purple Gray Gray Brown Brown Orange Orange Purple Purple Red Red Purple Purple Pink Pink Gray Gray\nPurple Purple Gray Gray Brown Brown Orange Orange Purple Purple Red Red Purple Purple Pink Pink Gray Gray\nGray Gray Gray Gray Purple Purple Brown Brown Yellow Yellow Blue Blue Pink Pink Gray Gray Pink Pink\nGray Gray Gray Gray Purple Purple Brown Brown Yellow Yellow Blue Blue Pink Pink Gray Gray Pink Pink\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 Green Green Red Red Purple Purple Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow\nRed Red Green Green Red Red Purple Purple Yellow Yellow Pink Pink Gray Gray Yellow Yellow Yellow Yellow\nBlue Blue Pink Pink Green Green Blue Blue Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green\nBlue Blue Pink Pink Green Green Blue Blue Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green\nYellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown\nYellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown\nYellow Yellow Blue Blue Green Green Green Green Blue Blue Purple Purple Pink Pink Brown Brown Gray Gray\nYellow Yellow Blue Blue Green Green Green Green Blue Blue Purple Purple Pink Pink Brown Brown Gray Gray\nPurple Purple Green Green Red Red Red Red Pink Pink Blue Blue Green Green Brown Brown Brown Brown\nPurple Purple Green Green Red Red Red Red Pink Pink Blue Blue Green Green Brown Brown Brown Brown\nYellow Yellow Purple Purple Brown Brown Purple Purple Gray Gray Brown Brown Red Red Yellow Yellow Yellow Yellow\nYellow Yellow Purple Purple Brown Brown Purple Purple Gray Gray Brown Brown Red Red Yellow Yellow Yellow Yellow\nPink Pink Blue Blue Pink Pink Purple Purple Yellow Yellow Yellow Yellow Brown Brown Gray Gray Yellow Yellow\nPink Pink Blue Blue Pink Pink Purple Purple Yellow Yellow Yellow Yellow Brown Brown Gray Gray Yellow Yellow\nPurple Purple Gray Gray Brown Brown Pink Pink Purple Purple Blue Blue Purple Purple Yellow Yellow Gray Gray\nPurple Purple Gray Gray Brown Brown Pink Pink Purple Purple Blue Blue Purple Purple Yellow Yellow Gray Gray\nGray Gray Gray Gray Purple Purple Brown Brown Red Red Green Green Yellow Yellow Gray Gray Yellow Yellow\nGray Gray Gray Gray Purple Purple Brown Brown Red Red Green Green Yellow Yellow Gray Gray 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 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 Purple 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\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Black\nPurple Black Black Black Black Black Purple Black\nPurple Black Purple Purple Purple Black Purple Black\nPurple Black Purple Purple Purple Black Purple Black\nPurple Black Black Black Black Black Purple Black\nPurple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple\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 Orange Orange Orange Orange Orange Orange Orange Black Orange\nBlack Orange Black Black Black Black Black Orange Black Orange\nBlack Orange Black Orange Orange Orange Black Orange Black Orange\nBlack Orange Black Orange Orange Orange Black Orange Black Orange\nBlack Orange Black Black Black Black Black Orange Black Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Orange\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 Gray 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 Black Gray Gray Gray Gray Gray Gray Gray Black Gray\nGray Black Gray Black Black Black Black Black Gray Black Gray\nGray Black Gray Black Gray Gray Gray Black Gray Black Gray\nGray Black Gray Black Gray Gray Gray Black Gray Black Gray\nGray Black Gray Black Black Black Black Black Gray Black Gray\nGray Black Gray Gray Gray Gray Gray Gray Gray Black Gray\nGray Black Black Black Black Black Black 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\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 Pink 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 Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Black Black Black Black Black Pink Black\nBlack Pink Black Pink Pink Pink Black Pink Black\nBlack Pink Black Pink Pink Pink Black Pink Black\nBlack Pink Black Black Black Black Black Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink 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 Black Black Black Black 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 Purple Purple Purple Purple Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Purple Purple Purple Purple Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Pink Pink Pink Pink Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Pink Pink Pink Pink Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Pink Pink Pink Pink Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Pink Pink Pink Pink Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Purple Purple Purple Purple Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Purple Purple Purple Purple Yellow Yellow 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 Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow\n\n\nExample 2\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 Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Blue Blue Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Blue Blue Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Blue Blue Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Blue Blue Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink 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:\nPink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink\nPink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink\nGreen Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green\nGreen Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green\nOrange Orange Brown Brown Blue Blue Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange\nOrange Orange Brown Brown Blue Blue Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange\nGreen Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green\nGreen Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green\nPink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink\nPink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink\nPink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink\nPink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink\nGreen Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green\nGreen Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green\nOrange Orange Brown Brown Blue Blue Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange\nOrange Orange Brown Brown Blue Blue Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange\nGreen Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green\nGreen Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green\nPink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink\nPink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink\nPink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink\nPink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink\nGreen Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green\nGreen Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green\nOrange Orange Brown Brown Blue Blue Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange\nOrange Orange Brown Brown Blue Blue Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Brown Brown Orange Orange\nGreen Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green\nGreen Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Green Green\nPink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink\nPink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Pink Pink\n\n\nExample 3\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 Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Black Black Black Black\nBlack Black Black Black Red Red Green Green Blue Blue Green Green Red Red Black Black Black Black\nBlack Black Black Black Red Red Green Green Blue Blue Green Green Red Red Black Black Black Black\nBlack Black Black Black Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Red Red Green Green Blue Blue Green Green Red Red Black Black Black Black\nBlack Black Black Black Red Red Green Green Blue Blue Green Green Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange 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 Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange\nOrange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nPink Pink Orange Orange Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink\nPink Pink Orange Orange Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nOrange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange\nOrange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange\nOrange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange\nOrange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nPink Pink Orange Orange Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink\nPink Pink Orange Orange Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nOrange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange\nOrange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange\nOrange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange\nOrange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nPink Pink Orange Orange Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink\nPink Pink Orange Orange Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Gray Gray Orange Orange Pink Pink\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nOrange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange\nOrange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange Orange Orange Gray Gray Brown Brown Gray Gray Orange Orange\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 Gray Gray Pink Pink Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Gray Gray Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Gray 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 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```\nGray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray\nGreen Green Pink Pink Green Green Green Green Pink Pink Green Green Green Green Pink Pink Green Green\nGreen Green Pink Pink Green Green Green Green Pink Pink Green Green Green Green Pink Pink Green Green\nGray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray\nGreen Green Pink Pink Green Green Green Green Pink Pink Green Green Green Green Pink Pink Green Green\nGreen Green Pink Pink Green Green Green Green Pink Pink Green Green Green Green Pink Pink Green Green\nGray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray\nGreen Green Pink Pink Green Green Green Green Pink Pink Green Green Green Green Pink Pink Green Green\nGreen Green Pink Pink Green Green Green Green Pink Pink Green Green Green Green Pink Pink Green Green\nGray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink 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 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 Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink 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 Pink Black Black\nBlack Pink Pink Pink Black\nPink Pink Pink Pink Pink\nBlack Pink Pink Pink Black\nBlack Black Pink 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 Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow 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:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\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 Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow 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:\nYellow Black\nYellow 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 Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Black Pink Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink 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```\nPink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Pink Pink Pink\nPink Black Pink Pink Pink Pink Black\nPink Pink Pink Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink 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 Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue 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 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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow 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\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 Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue 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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue 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\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 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\nBlack Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\n\nOutput:\nBrown Brown Brown\nBrown Brown Brown\nBrown Brown Brown\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 Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red 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 Red Red 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\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 Black\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 Green Green Green\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 Green Green Green\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 Green Green Green\n\nOutput:\nGreen Green Green\nGreen Green Green\nGreen Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange 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 Orange Orange Orange Orange Orange 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 Orange Orange Orange Orange Orange 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 Orange Orange Orange Orange Orange 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 Orange Orange Orange Orange Orange 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 Orange Orange Orange Orange Orange 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 Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\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 Black\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 Black\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 Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\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 Black\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 Black\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 Black\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 Gray Gray Gray\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 Gray Gray Gray\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 Gray Gray Gray\n\nOutput:\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Black\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 Red Red Red\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 Red Red Red\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 Red Red 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```\nRed Red Red\nRed Red Red\nRed 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 Brown Brown Black Black\nPurple Purple Purple Green Green Green Brown Brown Yellow Yellow\nPurple Purple Purple Green Green Green Black Purple Yellow Yellow\nPurple Purple Purple Green Green Green Green Purple Black Black\nOrange Orange Orange Black Orange Black Green Blue Blue Blue\nOrange Orange Orange Yellow Orange Black Black Blue Blue Blue\nOrange Orange Orange Yellow Pink Pink Pink Blue Blue Blue\nRed Red Red Blue Pink Pink Pink Black Black Pink\nRed Red Red Blue Pink Pink Pink Brown Red Pink\nRed Red Red Black Black Black Black Brown Red Black\n\nOutput:\nBlack Black Black Black Black Black Brown Blue Blue Blue\nPurple Purple Purple Green Green Green Brown Brown Yellow Yellow\nPurple Pink Pink Pink Green Green Black Purple Yellow Yellow\nPurple Pink Pink Pink Green Green Green Purple Black Black\nOrange Pink Pink Pink Orange Black Green Blue Blue Blue\nOrange Orange Orange Yellow Orange Black Black Blue Blue Pink\nOrange Orange Orange Yellow Pink Pink Pink Blue Blue Pink\nRed Red Red Blue Pink Brown Pink Red Black Pink\nRed Red Red Blue Pink Brown Pink Red Red Pink\nRed Red Red Black Black Black Black Brown Red Black\n\n\nExample 2\nInput:\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Pink\nYellow Yellow Orange Orange Orange Red Red Red Black Pink\nYellow Yellow Orange Orange Orange Red Red Red Black Red\nBlack Black Orange Orange Orange Red Red Red Orange Red\nBlack Green Purple Black Black Black Black Black Orange Yellow\nBlack Green Purple Brown Brown Black Blue Blue Black Yellow\nPurple Purple Purple Brown Brown Brown Blue Blue Pink Pink\nPurple Purple Purple Blue Black Brown Black Black Pink Pink\nPurple Purple Purple Blue Black Black Black Black Black Black\n\nOutput:\nBlack Green Green Black Black Black Black Orange Black Black\nBlack Green Green Black Black Black Black Black Black Yellow\nBrown Yellow Orange Orange Blue Blue Red Red Black Yellow\nBrown Brown Orange Orange Blue Blue Red Red Black Red\nBlack Brown Orange Orange Orange Red Red Red Pink Pink\nBlack Green Purple Black Black Black Black Black Pink Pink\nBlack Green Purple Brown Brown Black Blue Blue Black Yellow\nPurple Purple Purple Brown Brown Brown Blue Blue Pink Pink\nPurple Purple Purple Blue Black Brown Black Black Pink Pink\nPurple Purple Purple Blue Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black\nBlack Brown Orange Orange Orange Orange Red Red Black Black\nBlack Brown Black Black Green Black Red Red Black Black\nBlack Pink Green Green Green Black Black Blue Blue Blue\nBlack Pink Green Green Pink Pink Pink Blue Blue Blue\nBlack Black Black Black Pink Pink Pink Black Black Purple\nBlack Purple Purple Purple Pink Pink Pink Brown Brown Purple\nRed Purple Purple Purple Yellow Yellow Black Brown Brown Yellow\nRed Purple Purple Purple Yellow Yellow Black Black Black Yellow\n\nOutput:\nBlack Pink Pink Pink Orange Orange Black Black Black Black\nBlack Pink Pink Pink Orange Orange Black Black Black Black\nBlack Pink Pink Pink Orange Orange Red Red Black Black\nBlack Brown Black Black Green Black Red Red Black Purple\nBlack Pink Green Green Green Black Brown Brown Blue Purple\nBlack Pink Green Green Pink Pink Brown Brown Blue Blue\nYellow Yellow Black Black Pink Pink Pink Black Black Purple\nYellow Yellow Purple Purple Pink Pink Pink Brown Brown Yellow\nRed Purple Purple Purple Yellow Yellow Black Brown Brown Yellow\nRed Purple Purple Purple Yellow Yellow Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Black Black Black Black Pink Pink Pink Black\nBrown Brown Pink Green Green Green Pink Pink Pink Purple\nBlack Orange Pink Green Green Green Pink Pink Pink Purple\nBlack Orange Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Red Black Black\nOrange Orange Black Black Yellow Yellow Yellow Red Red Red\nOrange Orange Blue Blue Yellow Yellow Yellow Black Red Red\nPurple Purple Blue Blue Yellow Brown Black Black Blue Black\nPurple Purple Black Black Yellow Brown Black Black Blue 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 Black Black Black Black Pink Red Pink Black\nBrown Brown Pink Green Green Green Pink Red Red Red\nBlack Yellow Yellow Yellow Green Green Pink Pink Red Red\nBlack Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Yellow Yellow Yellow Black Black Green Black Black Black\nBlack Yellow Black Black Yellow Yellow Yellow Red Black Black\nOrange Yellow Black Black Yellow Yellow Yellow Red Red Red\nOrange Brown Blue Blue Yellow Yellow Yellow Blue Red Red\nPurple Brown Blue Blue Yellow Brown Black Blue Blue Black\nPurple Purple Black Black Yellow Brown Black Black 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\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 Blue 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Blue Black\nBlack Black Black Blue Black Blue Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Blue Black Black\nBlack Black Blue Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Blue\nBlue 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\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 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\n\nOutput:\nBlack Black Blue Black Black Black Black Black Blue Black\nBlack Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black\nBlack Black Blue Black Black Black Black Black Blue 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 Blue 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 Blue Black Black Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Blue Black Black Black Black Black Blue 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 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\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 Black Black Black Black Black Black Black Blue\nBlack Blue Black Black Black Black Black Blue Black\nBlack Black Blue Black Black Black Blue Black Black\nBlack Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Blue Black Black Black\nBlack Black Blue Black Black Black Blue Black Black\nBlack Blue Black Black Black Black Black Blue Black\nBlue 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\nBlack Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green 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\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 Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black 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 2\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 Black Black Black Black Black 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 Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green 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 Black Black Black Black Black 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 Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\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 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 Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black 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 Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black 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 Black Black Black Black 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 Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\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 Black Black Black Black 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 Black Black Black Black Black Black Black Black Black 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\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green 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 Black Black Black Black Black Black Black Black Black 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\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red 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 Black Black Black Black Black Black Black Black Black 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\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 Purple Green\nBlack Black Black Black Black Black Orange Pink Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Blue Blue Black Orange Black Black\nBlue Black Black Blue Black Black Orange Black Black\nBlue Blue Blue Blue Black Black Orange Black Black\nBlack Black Blue Blue Blue Blue Orange Black Black\nBlack Black Blue Black Black Blue Orange Black Black\nBlack Blue Blue Black Black Black Orange Black Black\n\nOutput:\nBlack Black Black Green Green Black\nPurple Black Black Green Black Black\nPurple Purple Purple Green Black Black\nBlack Black Pink Gray Gray Gray\nBlack Black Pink Black Black Gray\nBlack Pink Pink Black Black Black\n\n\nExample 2\nInput:\nBrown Yellow Orange Black Black Black Black Black Black\nGreen Gray Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Blue Blue Black Black Blue Blue\nBlack Black Orange Blue Blue Black Black Blue Blue\nBlack Black Orange Black Blue Blue Blue Blue Black\nBlack Black Orange Black Blue Blue Blue Blue Black\nBlack Black Orange Black Blue Blue Blue Blue Black\nBlack Black Orange Black Blue Blue Blue Blue Black\n\nOutput:\nBrown Brown Black Black Yellow Yellow\nBrown Brown Black Black Yellow Yellow\nBlack Brown Brown Yellow Yellow Black\nBlack Green Green Gray Gray Black\nBlack Green Green Gray Gray Black\nBlack Green Green Gray Gray Black\n\n\nExample 3\nInput:\nGray Purple Orange Black Black Black Black Black Black\nRed Pink Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Black Black Black Black Blue Black\nBlack Black Orange Black Black Black Black Blue Blue\nBlack Black Orange Black Black Black Black Black Blue\nBlack Black Orange Black Black Black Blue Blue Blue\nBlack Black Orange Blue Blue Black Blue Blue Black\nBlack Black Orange Blue Blue Blue Blue Black Black\n\nOutput:\nBlack Black Black Black Purple Black\nBlack Black Black Black Purple Purple\nBlack Black Black Black Black Purple\nBlack Black Black Pink Pink Pink\nRed Red Black Pink Pink Black\nRed Red Red Pink Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Blue Blue Orange Black Black\nBlue Blue Blue Blue Blue Black Orange Black Black\nBlue Blue Blue Blue Blue Black Orange Black Black\nBlue Blue Blue Blue Blue Black Orange Black Black\nBlue Blue Blue Blue Blue Black Orange Black Black\nBlack Black Blue Blue Blue Blue Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Pink Purple\nBlack Black Black Black Black Black Orange Yellow 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```\nBlack Black Pink Purple Purple Purple\nPink Pink Pink Purple Purple Black\nPink Pink Pink Purple Purple Black\nYellow Yellow Yellow Gray Gray Black\nYellow Yellow Yellow Gray Gray Black\nBlack Black Yellow Gray 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 Red Red Red Black Black Black Red Red Red Black Black Black Black\nBlack Black Red Black Red Black Black Black Red Black Red Black Black Black Black\nBlack Black Red Red Red Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Red Red Red Black\nBlack Black Black Black Green Green Green Green Red Red Red Red Black Red Black\nBlack Black Black Black Green Green Green Green Red Black Red Red Red Red Black\nBlack Black Black Black Green Green Green Green Red Red Red Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Red Red Red\nGreen Green Green Black Black Black Black Green Green Black Black Black Red Black Red\nGreen Green Green Black Black Black Black Green Green Black Black Black Red Red Red\nBlack Red Red Red Black Black Black Black Black Green Green Green Black Black Black\nBlack Red Black Red Black Black Black Black Black Green Green Green Black Black Black\nBlack Red Red Red Black Black Black Black Black Green Green Green 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Green Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Green Green 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 Red Red Red Black Black\nBlack Black Black Green Green Green Green Red Black Red Black Black\nBlack Black Black Green Green Green Green Red Red Red Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Black Red\nBlack Green Green Green Green Black Black Black Black Red Red Red\nBlack Green Green Green Green Black Black Black Green Green Black Black\nBlack Green Green Green Green Black Black Black Green Green Black Black\nBlack Green Green Green Green 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 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 Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Green Green Green Green Red Red Red\nBlack Black Red Black Red Green Green Green Green Red Black Red\nBlack Black Red Red Red Green Green Green Green Red Red Red\nBlack Black Black Black Black Green Green Green Green 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 Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green 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 Red Red Red Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green 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\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:\nGreen Green Black Black Black Black Black Black Red Red Red Black Black Black\nGreen Green Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Red Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Red Red Red Black Black Green Green\nBlack Black Black Green Green Green Black Red Black Red Green Green Green Green\nBlack Black Black Green Green Green Black Red Red Red Green Green Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Red Red Red Black\nBlack Black Black Black Black Black Green Green Green Green Red Black Red Black\nBlack Black Black Black Black Black Green Green Green Green Red Red Red Black\nGreen Green Black Black Black Black Green Green Green Green Black Black Black Black\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\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 Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Orange Black Orange Black Orange Orange Black Black Orange Black Orange Black Black Black Orange\nBlack Orange Orange Orange Orange Black Orange Orange Black Black Orange Black Black Orange Orange Black Black Black Orange Black\nOrange Orange Black Black Orange Orange Orange Orange Black Orange Orange Black Black Orange Black Orange Orange Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Black Black Orange Black\nOrange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange\nOrange Orange Orange Black Orange Orange Orange Black Orange Black Orange Black Black Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Orange Orange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Black Black Orange Black Black Orange Orange Black Black Orange Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black Orange Black Orange Orange Black Orange Black Orange Black Black Black Orange\nOrange Black Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Black Black Black Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Black Orange Orange Black Black Orange Orange Black Orange Black Orange Orange Black Orange Black Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Black Orange Black Orange Black Orange Orange Orange Orange Black Orange Black\nOrange Orange Orange Black Orange Black Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Black Black\nBlack Orange Orange Black Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange\n\nOutput:\nOrange Orange Orange Orange Black Orange Black Orange Black Orange Orange Green Green Orange Black Orange Green Green Black Orange\nBlack Orange Orange Orange Orange Black Orange Orange Black Black Orange Green Green Orange Orange Black Green Green Orange Black\nOrange Orange Black Black Orange Orange Orange Orange Black Orange Orange Green Green Orange Black Orange Orange Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Green Green Black Orange Orange Black Black Orange Black\nOrange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange\nOrange Orange Orange Black Orange Orange Orange Black Orange Black Orange Black Black Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Orange Orange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Black Black Orange Green Green Orange Orange Black Black Orange Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Green Green Orange Black Orange Orange Black Orange Black Orange Black Black Black Orange\nOrange Black Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Black Black Black Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Black Orange Orange Green Green Orange Orange Black Orange Black Orange Orange Black Orange Black Orange Orange\nBlack Black Orange Orange Orange Orange Green Green Black Orange Black Orange Black Orange Orange Orange Orange Black Orange Black\nOrange Orange Orange Black Orange Black Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Black Black\nBlack Orange Orange Black Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange\n\n\nExample 2\nInput:\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nBlack Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow\nBlack Yellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Yellow\nYellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow\nBlack Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Yellow Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Black Yellow\nYellow Black Yellow Black Black Yellow Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black\nBlack Yellow Black Yellow Black Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Yellow\n\nOutput:\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nBlack Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow\nBlack Yellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Green Green Yellow\nYellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Green Green Yellow\nBlack Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Yellow Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Black Yellow\nYellow Black Yellow Black Black Yellow Yellow Yellow Green Green Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black\nBlack Yellow Black Yellow Black Yellow Yellow Yellow Green Green Yellow Yellow Black Yellow Yellow Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow\nBlack Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nYellow Black Black Yellow Yellow Yellow Black Yellow Black Black Black Black Black Yellow Black Black Black Black Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow Black Black Black Yellow Yellow Black Black\nBlack Yellow Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow Black Yellow\nBlack Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Black Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow\nBlack Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nYellow Black Black Yellow Yellow Yellow Black Yellow Black Black Green Green Green Yellow Black Black Black Black Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Green Green Green Black Yellow Yellow Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Green Green\nBlack Yellow Yellow Yellow Green Green Yellow Yellow Black Green Green Black Yellow Yellow Green Green Black Black Green Green\nYellow Black Yellow Yellow Yellow Black Yellow Black Yellow Green Green Yellow Yellow Green Green Green Yellow Yellow Green Green\nBlack Yellow Black Green Green Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Green Green Yellow Black Yellow Black Yellow\nBlack Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Black Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Black Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black\nBlack Black Pink Pink Black Black Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Black Black Black Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nPink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Black Pink Black\nPink Pink Black Pink Black Pink Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink Pink\nBlack Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Black Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Black Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Black Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nBlack Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black Black Pink\nPink Pink Black Pink Pink Black Black Pink Black Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink\nBlack Pink Pink Pink Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Black Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nBlack Black Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Black Black Pink\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink 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```\nPink Pink Pink Pink Green Green Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black\nBlack Black Pink Pink Green Green Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Black Black Black Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nPink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Green Green Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Green Green Black Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Black Pink Black\nPink Pink Black Pink Black Pink Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink Pink\nBlack Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Black Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Black Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Black Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nBlack Pink Pink Pink Black Green Green Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black Black Pink\nPink Pink Black Pink Pink Green Green Pink Black Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink\nBlack Pink Pink Pink Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nGreen Green Black Pink Pink Black Black Black Pink Pink Pink Pink Black Green Green Pink Pink Pink Pink Pink\nGreen Green Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Green Green Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Black Black Pink\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Pink 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 Red\nBlack Black Black Black Brown Brown Purple Purple Black\nBlack Black Black Black Black Green Brown Black Black\nBlack Black Black Black Black Purple Purple Purple Purple\nBlack Black Blue Black Black Purple Gray Black Black\nBlack Black Black 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 Blue Blue Black Black Black Black Black Black\nOrange Black Pink Orange Orange Black Black Black Black\nOrange Black Pink Green Black Brown Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown 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 Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Blue Blue Black\nOrange Black Pink Orange Orange Orange Pink Black Orange\nOrange Black Pink Green Black Green Pink Black Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Green Yellow Black Orange Black\nBrown Brown Black Black Black Black Green Yellow Brown Orange Yellow\nBlack Brown Black Black Black Black Pink Black Black Black Black\nBlack Green Green Black Red Black Black Red Black Black Black\nBlack Green Green Green Black Green Black Black Black Black Pink\nBlack Black Purple Black Black Gray Yellow Purple Gray Gray Pink\nBlack Blue Black Black Brown Blue Blue Black Purple Gray Gray\nBlack Black Black Black Black Black Blue Pink Black Red Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Brown Brown\nBlack Brown Black Black Black Black Black Black Black Brown Black\nBlack Green Green Black Red Black Red Black Green Green Black\nBlack Green Green Green Black Green Black Green Green Green Black\nBlack Black Purple Black Black Gray Black Black Purple Black Black\nBlack Blue Black Black Brown Blue Brown Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Black Black Black Black\nGreen Purple Black Black Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black Black\nBrown Yellow Green Black Black Black Black Black Black Black\nBlack Yellow Black Gray Pink Black Black Black Black Black\nBlack Pink Black Gray Pink Black Pink Black Black Purple\nBlack Red Red Pink Black Purple Purple Black Purple Black\nGray Pink Red Red Black Black Black Green Black Purple\n\nOutput:\nBrown Black Black Black Black Black Black Black Black Brown\nGreen Purple Black Black Black Black Black Black Purple Green\nYellow Black Yellow Black Black Black Black Yellow Black Yellow\nBrown Yellow Green Black Black Black Black Green Yellow Brown\nBlack Yellow Black Gray Pink Pink Gray Black Yellow Black\nBlack Pink Black Gray Pink Pink Gray Black Pink Black\nBlack Red Red Pink Black Black Pink Red Red Black\nGray Pink Red Red Black Black Red Red Pink Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Pink Purple Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nRed Brown Pink Black Black Orange Black Brown Black Black\nYellow Blue Black Purple Blue Orange Purple Black Orange Black\nBlack Blue Green Black Pink Pink Black Green Black Orange\nBlack Black Green Pink Pink Black Black Pink Black Red\nBlack Black Purple Purple Blue Black Yellow Black Pink Red\nBlack Purple Black Purple Black Black Yellow Orange Black Pink\nBlack Black Black Black Blue Gray Orange Orange Pink 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 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 Brown Pink Black Black Black Black Pink Brown Red\nYellow Blue Black Purple Blue Blue Purple Black Blue Yellow\nBlack Blue Green Black Pink Pink Black Green Blue Black\nBlack Black Green Pink Pink Pink Pink Green Black Black\nBlack Black Purple Purple Blue Blue Purple Purple Black Black\nBlack Purple Black Purple Black Black Purple Black Purple Black\nBlack Black Black Black Blue Blue 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 Yellow Black Black Black\nBlack Black Purple Black Black Black\nBlack Black Purple Black Black Black\nBlack Black Purple Blue Black Black\nBlack Black Black Blue Blue Purple\nRed Black Black Blue Red Purple\nRed Brown Orange Blue Black Black\nRed Blue Orange Pink Black Black\n\nOutput:\nBlack Black Yellow Black Black Black\nBlack Black Purple Black Black Black\nBlack Black Purple Black Black Black\nBlack Black Purple Blue Black Black\nBlack Black Black Blue Blue Purple\nRed Black Black Blue Red Purple\nRed Brown Orange Blue Black Black\nRed Blue Orange Pink Black Black\nBlack Black Black Yellow Black Black\nBlack Black Black Purple Black Black\nBlack Black Black Purple Black Black\nBlack Black Blue Purple Black Black\nPurple Blue Blue Black Black Black\nPurple Red Blue Black Black Red\nBlack Black Blue Orange Brown Red\nBlack Black Pink Orange Blue Red\n\n\nExample 2\nInput:\nBrown Brown Black Black Black Black Black Black\nYellow Brown Yellow Orange Purple Orange Black Black\nBlack Brown Red Black Black Orange Green Black\nBlack Brown Red Blue Yellow Orange Brown Gray\nBlack Black Black Black Purple Yellow Orange Orange\n\nOutput:\nBrown Brown Black Black Black Black Black Black\nYellow Brown Yellow Orange Purple Orange Black Black\nBlack Brown Red Black Black Orange Green Black\nBlack Brown Red Blue Yellow Orange Brown Gray\nBlack Black Black Black Purple Yellow Orange Orange\nBlack Black Black Black Black Black Brown Brown\nBlack Black Orange Purple Orange Yellow Brown Yellow\nBlack Green Orange Black Black Red Brown Black\nGray Brown Orange Yellow Blue Red Brown Black\nOrange Orange Yellow Purple Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Purple Orange Blue Blue Brown Brown\nBlack Black Black Blue Blue Black Black Blue Yellow\nOrange Orange Orange Pink Yellow Black Black Black Black\nYellow Orange Purple Brown Black Black Black Black Black\nYellow Purple Purple Brown Black Black Black Black Black\n\nOutput:\nBlack Black Black Purple Orange Blue Blue Brown Brown\nBlack Black Black Blue Blue Black Black Blue Yellow\nOrange Orange Orange Pink Yellow Black Black Black Black\nYellow Orange Purple Brown Black Black Black Black Black\nYellow Purple Purple Brown Black Black Black Black Black\nBrown Brown Blue Blue Orange Purple Black Black Black\nYellow Blue Black Black Blue Blue Black Black Black\nBlack Black Black Black Yellow Pink Orange Orange Orange\nBlack Black Black Black Black Brown Purple Orange Yellow\nBlack Black Black Black Black Brown Purple Purple Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Purple Blue Blue Black Black Black\nPurple Purple Gray Gray Green Brown Red\nBlack Purple Gray Pink Pink Brown Red\nBlack Green Green Pink Red Black Black\nBlack Blue Green Pink Pink Black Black\nYellow Blue Purple Black Blue Black Black\nRed Brown Pink Gray Blue 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 Purple Blue Blue Black Black Black\nPurple Purple Gray Gray Green Brown Red\nBlack Purple Gray Pink Pink Brown Red\nBlack Green Green Pink Red Black Black\nBlack Blue Green Pink Pink Black Black\nYellow Blue Purple Black Blue Black Black\nRed Brown Pink Gray Blue Black Black\nBlack Black Black Blue Blue Purple Black\nRed Brown Green Gray Gray Purple Purple\nRed Brown Pink Pink Gray Purple Black\nBlack Black Red Pink Green Green Black\nBlack Black Pink Pink Green Blue Black\nBlack Black Blue Black Purple Blue Yellow\nBlack Black Blue Gray Pink Brown 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 Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink 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 Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black 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 Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink 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 Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black 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 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\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 Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black 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 Black Black Black Black Black Black Black Black\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\nOutput:\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\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\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 Black Black\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\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black\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\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\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\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\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\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black\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\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\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\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\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\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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray 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 Black Black Black Black Black\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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray 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 Black Black Black Black Black\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:\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\nBlack Black Black Black Blue 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 Green Green Black Black\nBlack Black Black Green Green Black Black\nBlack Black Black Black Blue 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Blue Black Black Green Green Black Black\nBlack Black Black Black Green Green 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 Blue Green Green Black Black\nBlack Black Black Black Green Green 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 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue 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 Green Green Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Blue 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 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\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green 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\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 Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Blue 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 Black Black Black Black Black 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 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\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:\nYellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black\nYellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow\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 Pink 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:\nPink Black Black Pink Black Black Pink\nBlack Pink Black Pink Black Pink Black\nBlack Black Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Black Black\nBlack Pink Black Pink Black Pink Black\nPink Black Black Pink Black Black Pink\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 Black Black Orange 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:\nOrange Black Black Orange Black Black Orange\nBlack Orange Black Orange Black Orange Black\nBlack Black Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Black Black\nBlack Orange Black Orange Black Orange Black\nOrange Black Black Orange Black Black Orange\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 Gray 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```\nGray Black Black Black Gray Black Black Black Gray\nBlack Gray Black Black Gray Black Black Gray Black\nBlack Black Gray Black Gray Black Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Gray Black Gray Black Gray Black Black\nBlack Gray Black Black Gray Black Black Gray Black\nGray Black Black Black Gray Black Black Black 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 Black Black Black Black 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 Green Black Purple\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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\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 Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple 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 Black Black\nBlack Black Black Orange Black Black Black Black Black Black Orange Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange 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 Black\nBlack Black Black Purple Black Orange Black Black Black Black Black Black Black Black Green Black Purple\nPink 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 Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Yellow Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Orange Black Black Black Black Black Black Black Black Green Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Orange 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 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 Brown Black Black Black Black Black 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 Orange\nBlack Black Brown Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack 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 Blue Black Black Black\nBlack Black Black Purple Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Purple Red 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 Blue Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Brown Black Black Black Pink Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Brown Black Black Black Brown Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Purple Red 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 Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black\nOrange Black Black Black Black Black Black Black 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 Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Purple 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 Purple Black Black Black Black Black Brown\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black 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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Orange Black Black Black\nOrange Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Orange 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 Brown Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Purple 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 Brown 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 Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink 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 Pink Gray Black Black Black Black Black\nBlack Black Black Black Gray Black 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 Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Yellow Black Black Black Black Purple 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 Brown Yellow Black Black Black Black Purple Pink Black Black Black Black\nBlack Black 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 Brown Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange 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:\nBlue Orange Brown Orange Purple Orange Orange Brown\nBlue Orange Brown Orange Purple Orange Orange Brown\nBlue Orange Brown Orange Purple Orange Orange Brown\nBlue Orange Brown Orange Purple Orange Orange Brown\nBlue Orange Brown Orange Purple Orange Orange Brown\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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBrown Brown Orange Purple Orange Orange Brown Blue\nBrown Brown Orange Purple Orange Orange Brown Blue\nBrown Brown Orange Purple Orange Orange Brown Blue\nBrown Brown Orange Purple Orange Orange Brown Blue\nBrown Brown Orange Purple Orange Orange Brown Blue\n\n\nExample 2\nInput:\nPink Red Gray Pink Gray Gray Pink\nPink Red Gray Pink Gray Gray Pink\nPink Red Gray Pink Gray Gray Pink\nPink Red Gray Pink Gray Gray Pink\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\nPink Gray Pink Gray Gray Pink Pink\nPink Gray Pink Gray Gray Pink Pink\nPink Gray Pink Gray Gray Pink Pink\nPink Gray Pink Gray Gray Pink Pink\n\n\nExample 3\nInput:\nBrown Brown Green Purple Pink Green Brown\nBrown Brown Green Purple Pink Green Brown\nBrown Brown Green Purple Pink Green Brown\nBrown Brown Green Purple Pink Green Brown\nBrown Brown Green Purple Pink Green Brown\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\nBlack Black Black Black Black Black Black\nBrown Green Purple Pink Green Brown Brown\nBrown Green Purple Pink Green Brown Brown\nBrown Green Purple Pink Green Brown Brown\nBrown Green Purple Pink Green Brown Brown\nBrown Green Purple Pink Green Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Yellow Brown Yellow Brown Yellow Yellow Blue\nYellow Brown Yellow Brown Yellow Brown Yellow Yellow Blue\nYellow Brown Yellow Brown Yellow Brown Yellow Yellow 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 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\nBlue Yellow Brown Yellow Brown Yellow Yellow Blue Yellow\nBlue Yellow Brown Yellow Brown Yellow Yellow Blue Yellow\nBlue Yellow Brown Yellow Brown Yellow Yellow Blue Yellow\n```",
"role": "assistant"
}
]
|
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