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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"
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{
"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 Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow 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 Red Black\nYellow Black Black Black Black Black Black Red Black Black\nRed Yellow Black Black Black Black Red Black Black Black\nBlack Red Yellow Black Black Red Black Black Black Black\nBlack Black Red Yellow Red Black Black Black Black Yellow\nBlack Black Black Red Yellow Black Black Black Yellow Black\nBlack Black Red Black Red Yellow Black Yellow Black Black\nBlack Red Black Black Black Red Yellow Black Black Black\nRed Black Black Black Black Yellow Red Yellow Black Black\nBlack Black Black Black Yellow Black Black Red 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 Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\n\nOutput:\nRed Black Yellow Black Black Black Red Black Black Black\nBlack Red Black Yellow Black Red Black Black Black Black\nBlack Black Red Black Red Black Black Black Black Black\nBlack Black Black Red Black Yellow Black Black Black Yellow\nBlack Black Red Black Red Black Yellow Black Yellow Black\nBlack Red Black Black Black Red Black Yellow Black Black\nRed Black Black Black Black Black Red Black Yellow Black\nBlack Black Black Black Black Yellow Black Red Black Yellow\nBlack Black Black Black Yellow Black Black Black Red Black\nBlack Black Black Yellow Black Black Black Black Black Red\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 Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nRed Black Black Black Yellow Black Black Black Black Black\nBlack Red Black Black Black Yellow Black Black Black Red\nBlack Black Red Black Black Black Yellow Black Red Black\nBlack Black Black Red Black Black Black Red Black Black\nBlack Black Black Black Red Black Red Black Yellow Black\nBlack Black Black Black Black Red Black Black Black Yellow\nBlack Black Black Black Red Black Red 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 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Black Black Black Black Black Black Black Yellow\nBlack Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Red\nRed Black Black Black Yellow Black Yellow Black Red Black\nBlack Red Black Yellow Black Black Black Red Black Black\nBlack Black Red Black Black Black Red Black Yellow Black\nBlack Yellow Black Red Black Red Black Black Black Yellow\nYellow Black Black Black Red Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Green\nOrange Pink Pink Pink Pink Pink Pink Green\nOrange Pink Pink Pink Pink Pink Pink Green\nOrange Pink Pink Pink Pink Pink Pink Green\nOrange Pink Pink Pink Pink Pink Pink Green\nOrange Pink Pink Pink Pink Pink Pink Green\nOrange Pink Pink Pink Pink Pink Pink Green\nOrange Red Red Red Red Red Red Green\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nGreen Orange Orange Orange Orange Orange Gray\nGreen Yellow Yellow Yellow Yellow Yellow Gray\nGreen Yellow Yellow Yellow Yellow Yellow Gray\nGreen Yellow Yellow Yellow Yellow Yellow Gray\nGreen Yellow Yellow Yellow Yellow Yellow Gray\nGreen Yellow Yellow Yellow Yellow Yellow Gray\nGreen Gray Gray Gray Gray Gray Gray\n\nOutput:\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\nGray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nGreen Orange Orange Orange Orange Orange Orange Orange Brown\nGreen Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Purple Purple Purple Purple Purple Purple Purple Brown\n\nOutput:\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBrown Blue Blue Blue Blue Blue Blue Blue Green\nBrown Pink Pink Pink Pink Pink Pink Pink Green\nBrown Pink Pink Pink Pink Pink Pink Pink Green\nBrown Pink Pink Pink Pink Pink Pink Pink Green\nBrown Pink Pink Pink Pink Pink Pink Pink Green\nBrown Pink Pink Pink Pink Pink Pink Pink Green\nBrown Pink Pink Pink Pink Pink Pink Pink Green\nBrown Pink Pink Pink Pink Pink Pink Pink Green\nBrown Red Red Red Red Red Red Red Green\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```\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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\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\nBlack Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black\nYellow Black Black Green Purple Red Red Red Red Red Black\nBlack Black Red Black Black Red Red Red Red Red Black\nBlack Black Red Black Black Black Red Red Red Black Yellow\nBlack Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Black Black\nBlack Black Brown Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nYellow Black Black Green Purple Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Brown Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange 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\nPink Pink Red Red Red Black Red Red Brown Black\nBlue Black Red Orange Black Gray Red Red Black Black\nBlack Black Red Black Black Black Red Red Purple Black\nBlack Black Red Black Black Black Black Black Blue Black\nBlack Black Red Red Black Black Black Black Black Purple\nGreen Black Black Red Black Yellow Red Red Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Purple Black Brown 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\nPink Pink Yellow Yellow Yellow Black Yellow Yellow Brown Black\nBlue Black Yellow Yellow Yellow Gray Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Yellow Yellow Purple Black\nBlack Black Yellow Yellow Yellow Black Black Black Blue Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Purple\nGreen Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Purple Black Brown 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 Yellow Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Pink Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Purple Black\nBlack Black Black Red Red Red 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 Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Pink Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Purple Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Green Black Brown\nBlack Black Red Red Red Blue Black Black Red Red Red Black\nPurple Black Black Black Black Black Black Blue Black Black Black Black\nBlack Pink Black Black Black Black Orange Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Red Red Black\nBlack Black Red Red Red Black Brown Red Black Black Brown Black\nBlack Black Black Red Red Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Green Black Brown\nBlack Black Yellow Yellow Yellow Blue Black Black Yellow Yellow Yellow Black\nPurple Black Black Black Black Black Black Blue Black Black Black Black\nBlack Pink Black Black Black Black Orange Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Brown Yellow Black Black Brown Black\nBlack Black Yellow Yellow Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green 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:\nYellow Yellow Yellow Pink Pink Pink Blue Blue Blue Green Green Green Purple Purple Purple Brown Brown Brown Purple Purple Purple Blue Blue Blue\nYellow Yellow Yellow Pink Pink Pink Blue Blue Blue Green Green Green Purple Purple Purple Brown Brown Brown Purple Purple Purple Blue Blue Blue\nYellow Yellow Yellow Pink Pink Pink Blue Blue Blue Green Green Green Purple Purple Purple Brown Brown Brown Purple Purple Purple Blue Blue Blue\nGray Gray Gray Brown Brown Brown Blue Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Brown Brown Brown Blue Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Brown Brown Brown Blue Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Green Green Green Orange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Purple Purple Purple\nYellow Yellow Yellow Green Green Green Orange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Purple Purple Purple\nYellow Yellow Yellow Green Green Green Orange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Purple Purple Purple\nYellow Yellow Yellow Gray Gray Gray Brown Brown Brown Purple Purple Purple Pink Pink Pink Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Brown Brown Brown Purple Purple Purple Pink Pink Pink Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Brown Brown Brown Purple Purple Purple Pink Pink Pink Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow\nGreen Green Green Orange Orange Orange Blue Blue Blue Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nGreen Green Green Orange Orange Orange Blue Blue Blue Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nGreen Green Green Orange Orange Orange Blue Blue Blue Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nGray Gray Gray Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange\nGray Gray Gray Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange\nGray Gray Gray Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nBrown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green\nBrown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green\nBrown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green\n\nOutput:\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Green Green Green Purple Purple Purple Brown Brown Brown Purple Purple Purple\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Green Green Green Purple Purple Purple Brown Brown Brown Purple Purple Purple\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Green Green Green Purple Purple Purple Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Brown Brown Brown Blue Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Gray Gray Gray Brown Brown Brown Blue Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Gray Gray Gray Brown Brown Brown Blue Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Orange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Orange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Orange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Pink Pink Pink Purple Purple Purple Brown Brown Brown Orange Orange Orange\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Pink Pink Pink Purple Purple Purple Brown Brown Brown Orange Orange Orange\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Pink Pink Pink Purple Purple Purple Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Green Green Green Orange Orange Orange Blue Blue Blue Purple Purple Purple Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Green Green Green Orange Orange Orange Blue Blue Blue Purple Purple Purple Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Green Green Green Orange Orange Orange Blue Blue Blue Purple Purple Purple Green Green Green Green Green Green Green Green Green\nPink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Red Red Red Orange Orange Orange\nPink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Red Red Red Orange Orange Orange\nPink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Red Red Red Orange Orange Orange\nGreen Green Green Orange Orange Orange Orange Orange Orange Brown Brown Brown Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue\nGreen Green Green Orange Orange Orange Orange Orange Orange Brown Brown Brown Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue\nGreen Green Green Orange Orange Orange Orange Orange Orange Brown Brown Brown Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Green Green Green\nBlue Blue Blue Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Green Green Green\nBlue Blue Blue Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Green Green Green\n\n\nExample 2\nInput:\nRed Red Red Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple\nOrange Orange Orange Blue Blue Blue Green Green Green Red Red Red Pink Pink Pink Blue Blue Blue Purple Purple Purple\nOrange Orange Orange Blue Blue Blue Green Green Green Red Red Red Pink Pink Pink Blue Blue Blue Purple Purple Purple\nOrange Orange Orange Blue Blue Blue Green Green Green Red Red Red Pink Pink Pink Blue Blue Blue Purple Purple Purple\nYellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Pink Pink Pink\nYellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Pink Pink Pink\nYellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Pink Pink Pink\nOrange Orange Orange Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow\nOrange Orange Orange Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow\nOrange Orange Orange Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Pink Pink Pink Orange Orange Orange Blue Blue Blue\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Pink Pink Pink Orange Orange Orange Blue Blue Blue\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Pink Pink Pink Orange Orange Orange Blue Blue Blue\nOrange Orange Orange Brown Brown Brown Blue Blue Blue Purple Purple Purple Brown Brown Brown Gray Gray Gray Brown Brown Brown\nOrange Orange Orange Brown Brown Brown Blue Blue Blue Purple Purple Purple Brown Brown Brown Gray Gray Gray Brown Brown Brown\nOrange Orange Orange Brown Brown Brown Blue Blue Blue Purple Purple Purple Brown Brown Brown Gray Gray Gray Brown Brown Brown\nBlue Blue Blue Red Red Red Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray Red Red Red\nBlue Blue Blue Red Red Red Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray Red Red Red\nBlue Blue Blue Red Red Red Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray Red Red Red\n\nOutput:\nPurple Purple Purple Red Red Red Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nPurple Purple Purple Red Red Red Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nPurple Purple Purple Red Red Red Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nPink Pink Pink Orange Orange Orange Blue Blue Blue Green Green Green Red Red Red Pink Pink Pink Blue Blue Blue\nPink Pink Pink Orange Orange Orange Blue Blue Blue Green Green Green Red Red Red Pink Pink Pink Blue Blue Blue\nPink Pink Pink Orange Orange Orange Blue Blue Blue Green Green Green Red Red Red Pink Pink Pink Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Pink Pink Pink Orange Orange Orange\nRed Red Red Orange Orange Orange Brown Brown Brown Blue Blue Blue Purple Purple Purple Brown Brown Brown Gray Gray Gray\nRed Red Red Orange Orange Orange Brown Brown Brown Blue Blue Blue Purple Purple Purple Brown Brown Brown Gray Gray Gray\nRed Red Red Orange Orange Orange Brown Brown Brown Blue Blue Blue Purple Purple Purple Brown Brown Brown Gray Gray Gray\nPurple Purple Purple Blue Blue Blue Red Red Red Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray\nPurple Purple Purple Blue Blue Blue Red Red Red Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray\nPurple Purple Purple Blue Blue Blue Red Red Red Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray\n\n\nExample 3\nInput:\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue\nRed Red Red Brown Brown Brown Green Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Brown Brown Brown Green Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Brown Brown Brown Green Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Gray Gray Gray Green Green Green Gray Gray Gray Blue Blue Blue Blue Blue Blue Purple Purple Purple Orange Orange Orange Purple Purple Purple\nBlue Blue Blue Gray Gray Gray Green Green Green Gray Gray Gray Blue Blue Blue Blue Blue Blue Purple Purple Purple Orange Orange Orange Purple Purple Purple\nBlue Blue Blue Gray Gray Gray Green Green Green Gray Gray Gray Blue Blue Blue Blue Blue Blue Purple Purple Purple Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Gray Gray Gray Pink Pink Pink Purple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink\nOrange Orange Orange Gray Gray Gray Pink Pink Pink Purple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink\nOrange Orange Orange Gray Gray Gray Pink Pink Pink Purple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Brown Brown Brown Green Green Green Orange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple\nBlue Blue Blue Brown Brown Brown Green Green Green Orange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple\nBlue Blue Blue Brown Brown Brown Green Green Green Orange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple\nGray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Green Green Green Purple Purple Purple Blue Blue Blue\nGray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Green Green Green Purple Purple Purple Blue Blue Blue\nGray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Green Green Green Purple Purple Purple Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Orange Orange Orange Purple Purple Purple Pink Pink Pink Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Orange Orange Orange Purple Purple Purple Pink Pink Pink Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Orange Orange Orange Purple Purple Purple Pink Pink Pink Orange Orange Orange\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Pink Pink Pink Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Pink Pink Pink Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Red Red Red Brown Brown Brown Green Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue\nPurple Purple Purple Red Red Red Brown Brown Brown Green Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue\nPurple Purple Purple Red Red Red Brown Brown Brown Green Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue\nPink Pink Pink Blue Blue Blue Gray Gray Gray Green Green Green Gray Gray Gray Blue Blue Blue Blue Blue Blue Purple Purple Purple Orange Orange Orange\nPink Pink Pink Blue Blue Blue Gray Gray Gray Green Green Green Gray Gray Gray Blue Blue Blue Blue Blue Blue Purple Purple Purple Orange Orange Orange\nPink Pink Pink Blue Blue Blue Gray Gray Gray Green Green Green Gray Gray Gray Blue Blue Blue Blue Blue Blue Purple Purple Purple Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Gray Gray Gray Pink Pink Pink Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nPurple Purple Purple Orange Orange Orange Gray Gray Gray Pink Pink Pink Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nPurple Purple Purple Orange Orange Orange Gray Gray Gray Pink Pink Pink Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Green Green Green Orange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Green Green Green Orange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Green Green Green Orange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink\nOrange Orange Orange Gray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Green Green Green Purple Purple Purple\nOrange Orange Orange Gray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Green Green Green Purple Purple Purple\nOrange Orange Orange Gray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Green Green Green Purple Purple Purple\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Orange Orange Orange Purple Purple Purple Pink Pink Pink\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Orange Orange Orange Purple Purple Purple Pink Pink Pink\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Orange Orange Orange Purple Purple Purple Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Purple Purple Purple Orange Orange Orange Green Green Green Purple Purple Purple Green Green Green Pink Pink Pink Red Red Red Yellow Yellow Yellow\nGray Gray Gray Purple Purple Purple Orange Orange Orange Green Green Green Purple Purple Purple Green Green Green Pink Pink Pink Red Red Red Yellow Yellow Yellow\nGray Gray Gray Purple Purple Purple Orange Orange Orange Green Green Green Purple Purple Purple Green Green Green Pink Pink Pink Red Red Red Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Blue Blue Blue Red Red Red Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue\nGray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Blue Blue Blue Red Red Red Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue\nGray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Blue Blue Blue Red Red Red Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Orange Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nBrown Brown Brown Orange Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nBrown Brown Brown Orange Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nPurple Purple Purple Green Green Green Gray Gray Gray Orange Orange Orange Pink Pink Pink Red Red Red Pink Pink Pink Green Green Green Green Green Green\nPurple Purple Purple Green Green Green Gray Gray Gray Orange Orange Orange Pink Pink Pink Red Red Red Pink Pink Pink Green Green Green Green Green Green\nPurple Purple Purple Green Green Green Gray Gray Gray Orange Orange Orange Pink Pink Pink Red Red Red Pink Pink Pink Green Green Green Green Green Green\nRed Red Red Pink Pink Pink Brown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow\nRed Red Red Pink Pink Pink Brown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow\nRed Red Red Pink Pink Pink Brown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Gray Gray Gray Blue Blue Blue\nPink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Brown Brown Brown Blue Blue Blue Pink Pink Pink Gray Gray Gray\nGray Gray Gray Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Brown Brown Brown Blue Blue Blue Pink Pink Pink Gray Gray Gray\nGray Gray Gray Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Brown Brown Brown Blue Blue Blue 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```\nBlue Blue Blue Gray Gray Gray Purple Purple Purple Orange Orange Orange Green Green Green Purple Purple Purple Green Green Green Pink Pink Pink Red Red Red\nBlue Blue Blue Gray Gray Gray Purple Purple Purple Orange Orange Orange Green Green Green Purple Purple Purple Green Green Green Pink Pink Pink Red Red Red\nBlue Blue Blue Gray Gray Gray Purple Purple Purple Orange Orange Orange Green Green Green Purple Purple Purple Green Green Green Pink Pink Pink Red Red Red\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Blue Blue Blue Red Red Red Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Blue Blue Blue Red Red Red Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Blue Blue Blue Red Red Red Yellow Yellow Yellow Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue\nGreen Green Green Brown Brown Brown Orange Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red\nGreen Green Green Brown Brown Brown Orange Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red\nGreen Green Green Brown Brown Brown Orange Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red\nYellow Yellow Yellow Purple Purple Purple Green Green Green Gray Gray Gray Pink Pink Pink Orange Orange Orange Red Red Red Pink Pink Pink Green Green Green\nYellow Yellow Yellow Purple Purple Purple Green Green Green Gray Gray Gray Pink Pink Pink Orange Orange Orange Red Red Red Pink Pink Pink Green Green Green\nYellow Yellow Yellow Purple Purple Purple Green Green Green Gray Gray Gray Pink Pink Pink Orange Orange Orange Red Red Red Pink Pink Pink Green Green Green\nBlue Blue Blue Red Red Red Pink Pink Pink Brown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Orange Orange Orange\nBlue Blue Blue Red Red Red Pink Pink Pink Brown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Orange Orange Orange\nBlue Blue Blue Red Red Red Pink Pink Pink Brown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Orange Orange Orange\nPink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Gray Gray Gray\nPink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Gray Gray Gray\nPink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Gray Gray Gray Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Brown Brown Brown Blue Blue Blue Pink Pink Pink\nYellow Yellow Yellow Gray Gray Gray Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Brown Brown Brown Blue Blue Blue Pink Pink Pink\nYellow Yellow Yellow Gray Gray Gray Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Brown Brown Brown Blue Blue Blue 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\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 Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green 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 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 Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray 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 Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple 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 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 Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple 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 Green Green Green Green Green Purple Purple Purple Purple Purple Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Purple Purple Purple Purple Purple Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Purple Purple Purple Purple Purple Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Purple Purple Purple Purple Purple Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Purple Purple Purple Purple Purple Green Green Green Green Green\nBlack Black Black Black Black Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange 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 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 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 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 Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nPink Pink Pink Pink Pink 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Pink Pink Pink Pink Pink Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Pink Pink Pink Pink Pink Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Pink Pink Pink Pink Pink Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Pink Pink Pink Pink Pink Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Pink Pink Pink Pink Pink Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Red Red Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nGreen Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Green Green Green Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black Orange Orange Orange Orange Orange\nGreen Green Green Green Green Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black Orange Orange Orange Orange Orange\nGreen Green Green Green Green Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black Orange Orange Orange Orange Orange\nGreen Green Green Green Green Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black Orange Orange Orange Orange Orange\nGreen Green Green Green Green Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Purple Purple Purple Purple Purple\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\n\nOutput:\nBrown Brown Brown Brown Brown Black Black Black Black Black Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBrown Brown Brown Brown Brown Black Black Black Black Black Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBrown Brown Brown Brown Brown Black Black Black Black Black Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBrown Brown Brown Brown Brown Black Black Black Black Black Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBrown Brown Brown Brown Brown Black Black Black Black Black Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Red Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Red Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Red Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Red Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Red Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Red Red Red Red Red\nPurple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Red Red Red Red Red\nPurple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Red Red Red Red Red\nPurple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Red Red Red Red Red\nPurple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Blue Blue Blue Black Green Green Green Green Black Black\nBlack Black Black Blue Blue Blue Black Green Green Green Green Black Black\nBlack Black Black Blue Blue Blue Black Green Green Green Green Black Black\nBlack Black Blue Blue Blue Blue Black Green Green Green Green Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Blue Blue\nBlack 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\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 Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Blue Blue Blue Blue Blue Green Green Green Green Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Red Red Red Red\nBlack Black Red Red Red Red Black Black Black Black Red Red Red Red\nBlack Black Red Red Red Red Black Black Black Black Red Red Red Red\nBlack Black Red Red Red Red Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Green Green Green Green Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Green Green Green Green Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red 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 Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Red Red Red Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black\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\nBlack Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Orange Orange 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 Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink 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```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nRed Red Red Yellow Yellow Yellow\nRed Red Red Yellow Yellow Yellow\nRed Red Red Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Black Black Black Red Red Red Gray Gray Gray\nBlack Black Black Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Black Black Black Red Red Red Gray Gray Gray\nBlack Black Black Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Black Black Black Red Red Red Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Yellow Yellow Yellow Green Green Green Orange Orange Orange Gray Gray Gray Red Red Red\nPink Pink Pink Yellow Yellow Yellow Green Green Green Orange Orange Orange Gray Gray Gray Red Red Red\nPink Pink Pink Yellow Yellow Yellow Green Green Green Orange Orange Orange Gray Gray Gray Red Red Red\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 Red Red Red Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Green Green Green\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Green Green Green\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Green Green Green\nBlack 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 Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Orange Orange Orange Black Black Black 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 Black Black Black\nBlack Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nOrange Orange Orange Green Green Green Brown Brown Brown\nOrange Orange Orange Green Green Green Brown Brown Brown\nOrange Orange Orange Green Green Green Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 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 Red Red Red 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 Red Red Red 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 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 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 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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```\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow 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:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\n\nOutput:\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Green Green 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\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\n\nOutput:\nGreen Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nGreen Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green\nGreen Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nGreen Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green\nGreen Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nGreen Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green\nGreen Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nGreen Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green\nGreen Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nGreen Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green Black Black Green Green\n\n\nExample 3\nInput:\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black Gray Gray\n\nOutput:\nGray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black 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 Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink\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 Orange Orange Orange Black Black Black 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 Black Black Black 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 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 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 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 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Orange Orange Orange Black Black Black 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 Black Black Black 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 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Purple Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red 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 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 Red Red Red Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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 Pink Pink Pink\nBlack 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 Pink Pink Pink\nBlack 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 Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red 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 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 Red Red Red Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black Black Black Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Pink Pink Pink 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 Pink Pink Pink 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\nOutput:\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Pink Pink Pink 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 Pink Pink Pink 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\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 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 Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black 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 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\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 Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black 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 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 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 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 Black Black Black 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 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 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 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Orange Orange Orange Orange Orange Orange Orange Orange Yellow Red\nRed Yellow Orange Pink Pink Pink Pink Pink Pink Orange Yellow Red\nRed Yellow Orange Pink Pink Pink Pink Pink Pink Orange Yellow Red\nRed Yellow Orange Orange Orange Orange Orange Orange Orange Orange Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green\nGreen Blue Orange Orange Orange Orange Orange Orange Orange Orange Blue Green\nGreen Blue Orange Pink Pink Pink Pink Pink Pink Orange Blue Green\nGreen Blue Orange Pink Pink Pink Pink Pink Pink Orange Blue Green\nGreen Blue Orange Orange Orange Orange Orange Orange Orange Orange Blue Green\nGreen Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Red Red Red Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Orange Orange Orange Orange Orange Orange Yellow Red\nRed Yellow Orange Orange Orange Orange Orange Orange Yellow Red\nRed Yellow Orange Orange Orange Orange Orange Orange Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Red Red Red Red Red Red Red Red Red\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Blue Blue Blue Blue Blue Blue Blue Blue Green\nGreen Blue Orange Orange Orange Orange Orange Orange Blue Green\nGreen Blue Orange Orange Orange Orange Orange Orange Blue Green\nGreen Blue Orange Orange Orange Orange Orange Orange Blue Green\nGreen Blue Blue Blue Blue Blue Blue Blue Blue Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red Red Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Orange Orange Orange Orange Orange Orange Orange Yellow Red\nRed Yellow Orange Orange Orange Orange Orange Orange Orange Yellow Red\nRed Yellow Orange Orange Orange Orange Orange Orange Orange Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Blue Blue Blue Blue Blue Blue Blue Blue Blue Green\nGreen Blue Orange Orange Orange Orange Orange Orange Orange Blue Green\nGreen Blue Orange Orange Orange Orange Orange Orange Orange Blue Green\nGreen Blue Orange Orange Orange Orange Orange Orange Orange Blue Green\nGreen Blue Blue Blue Blue Blue Blue Blue Blue Blue Green\nGreen Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Orange Orange Orange Orange Orange Yellow Red\nRed Yellow Orange Pink Pink Pink Orange Yellow Red\nRed Yellow Orange Pink Pink Pink Orange Yellow Red\nRed Yellow Orange Pink Pink Pink Orange Yellow Red\nRed Yellow Orange Orange Orange Orange Orange Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Red Red Red Red Red 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```\nGreen Green Green Green Green Green Green Green Green\nGreen Blue Blue Blue Blue Blue Blue Blue Green\nGreen Blue Orange Orange Orange Orange Orange Blue Green\nGreen Blue Orange Pink Pink Pink Orange Blue Green\nGreen Blue Orange Pink Pink Pink Orange Blue Green\nGreen Blue Orange Pink Pink Pink Orange Blue Green\nGreen Blue Orange Orange Orange Orange Orange Blue Green\nGreen Blue Blue Blue Blue Blue Blue Blue Green\nGreen Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\n\nOutput:\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nBlack 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown 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 Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black 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\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black 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 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 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink 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 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 Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Yellow Yellow\nBlack Black Brown Brown Black Black Black Black Yellow Yellow\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 Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\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 Black Black Black Black Yellow Yellow\nBlack Black Brown Brown Black Black Black Black Yellow Yellow\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 Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\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 Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Purple Green Black Black Black\nBlack Black Pink Black Black Black Purple Purple Purple Black Black Black\nBlack Pink Pink Black Black Black Black Purple 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 Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Purple Purple Green Green Black Black\nBlack Pink Pink Black Black Black Purple Purple Purple Black Black Black\nBlack Pink Pink Black Black Black Purple Purple Purple 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 Orange Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack 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\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 Gray Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray 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 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack 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\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 Orange Black Black Black\nBlack Black Black Black Red Black Black Black Black Orange Orange 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 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black 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\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 Orange Orange Black Black\nBlack Black Black Black Red Black Black Black Black Orange Orange 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 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 Black Black 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 Brown 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\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 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 Green\nBlack Black Black Black Black Black Green\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black 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 Black Black Black Black\n\nOutput:\nBlack Black Black Black Gray Black Black\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\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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black 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```",
"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 Gray Gray Gray Blue Blue Blue Gray Gray Gray Red Red Red Green Green Green Orange Orange Orange Red Red Red Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Gray Gray Gray Blue Blue Blue Gray Gray Gray Red Red Red Green Green Green Orange Orange Orange Red Red Red Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Gray Gray Gray Blue Blue Blue Gray Gray Gray Red Red Red Green Green Green Orange Orange Orange Red Red Red Orange Orange Orange Pink Pink Pink\nRed Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Blue Blue Blue Gray Gray Gray Green Green Green Orange Orange Orange\nRed Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Blue Blue Blue Gray Gray Gray Green Green Green Orange Orange Orange\nRed Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Blue Blue Blue Gray Gray Gray Green Green Green Orange Orange Orange\nYellow Yellow Yellow Green Green Green Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Green Green Green Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Green Green Green Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nGreen Green Green Red Red Red Red Red Red Orange Orange Orange Green Green Green Purple Purple Purple Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGreen Green Green Red Red Red Red Red Red Orange Orange Orange Green Green Green Purple Purple Purple Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGreen Green Green Red Red Red Red Red Red Orange Orange Orange Green Green Green Purple Purple Purple Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Green Green Green Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Green Green Green Green Green Green Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Green Green Green Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Green Green Green Green Green Green Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Green Green Green Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Green Green Green Green Green Green Gray Gray Gray Pink Pink Pink\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Red Red Red Purple Purple Purple\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Red Red Red Purple Purple Purple\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Red Red Red Purple Purple Purple\nPink Pink Pink Red Red Red Gray Gray Gray Green Green Green Orange Orange Orange Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown\nPink Pink Pink Red Red Red Gray Gray Gray Green Green Green Orange Orange Orange Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown\nPink Pink Pink Red Red Red Gray Gray Gray Green Green Green Orange Orange Orange Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown\nRed Red Red Pink Pink Pink Purple Purple Purple Green Green Green Brown Brown Brown Purple Purple Purple Green Green Green Green Green Green Purple Purple Purple Pink Pink Pink\nRed Red Red Pink Pink Pink Purple Purple Purple Green Green Green Brown Brown Brown Purple Purple Purple Green Green Green Green Green Green Purple Purple Purple Pink Pink Pink\nRed Red Red Pink Pink Pink Purple Purple Purple Green Green Green Brown Brown Brown Purple Purple Purple Green Green Green Green Green Green Purple Purple Purple Pink Pink Pink\nGreen Green Green Red Red Red Red Red Red Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Red Red Red Blue Blue Blue Blue Blue Blue\nGreen Green Green Red Red Red Red Red Red Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Red Red Red Blue Blue Blue Blue Blue Blue\nGreen Green Green Red Red Red Red Red Red Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Red Red Red Blue Blue Blue Blue Blue Blue\nPink Pink Pink Yellow Yellow Yellow Red Red Red Orange Orange Orange Pink Pink Pink Green Green Green Orange Orange Orange Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Red Red Red Orange Orange Orange Pink Pink Pink Green Green Green Orange Orange Orange Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Red Red Red Orange Orange Orange Pink Pink Pink Green Green Green Orange Orange Orange Pink Pink Pink Blue Blue Blue Pink Pink Pink\n\nOutput:\nPink Pink Pink Yellow Yellow Yellow Red Red Red Orange Orange Orange Pink Pink Pink Green Green Green Orange Orange Orange Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Red Red Red Orange Orange Orange Pink Pink Pink Green Green Green Orange Orange Orange Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Red Red Red Orange Orange Orange Pink Pink Pink Green Green Green Orange Orange Orange Pink Pink Pink Blue Blue Blue Pink Pink Pink\nOrange Orange Orange Gray Gray Gray Blue Blue Blue Gray Gray Gray Red Red Red Green Green Green Orange Orange Orange Red Red Red Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Gray Gray Gray Blue Blue Blue Gray Gray Gray Red Red Red Green Green Green Orange Orange Orange Red Red Red Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Gray Gray Gray Blue Blue Blue Gray Gray Gray Red Red Red Green Green Green Orange Orange Orange Red Red Red Orange Orange Orange Pink Pink Pink\nRed Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Blue Blue Blue Gray Gray Gray Green Green Green Orange Orange Orange\nRed Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Blue Blue Blue Gray Gray Gray Green Green Green Orange Orange Orange\nRed Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Blue Blue Blue Gray Gray Gray Green Green Green Orange Orange Orange\nYellow Yellow Yellow Green Green Green Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Green Green Green Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Green Green Green Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nGreen Green Green Red Red Red Red Red Red Orange Orange Orange Green Green Green Purple Purple Purple Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGreen Green Green Red Red Red Red Red Red Orange Orange Orange Green Green Green Purple Purple Purple Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGreen Green Green Red Red Red Red Red Red Orange Orange Orange Green Green Green Purple Purple Purple Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Green Green Green Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Green Green Green Green Green Green Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Green Green Green Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Green Green Green Green Green Green Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Green Green Green Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Green Green Green Green Green Green Gray Gray Gray Pink Pink Pink\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Red Red Red Purple Purple Purple\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Red Red Red Purple Purple Purple\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Red Red Red Purple Purple Purple\nPink Pink Pink Red Red Red Gray Gray Gray Green Green Green Orange Orange Orange Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown\nPink Pink Pink Red Red Red Gray Gray Gray Green Green Green Orange Orange Orange Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown\nPink Pink Pink Red Red Red Gray Gray Gray Green Green Green Orange Orange Orange Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown\nRed Red Red Pink Pink Pink Purple Purple Purple Green Green Green Brown Brown Brown Purple Purple Purple Green Green Green Green Green Green Purple Purple Purple Pink Pink Pink\nRed Red Red Pink Pink Pink Purple Purple Purple Green Green Green Brown Brown Brown Purple Purple Purple Green Green Green Green Green Green Purple Purple Purple Pink Pink Pink\nRed Red Red Pink Pink Pink Purple Purple Purple Green Green Green Brown Brown Brown Purple Purple Purple Green Green Green Green Green Green Purple Purple Purple Pink Pink Pink\nGreen Green Green Red Red Red Red Red Red Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Red Red Red Blue Blue Blue Blue Blue Blue\nGreen Green Green Red Red Red Red Red Red Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Red Red Red Blue Blue Blue Blue Blue Blue\nGreen Green Green Red Red Red Red Red Red Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Red Red Red Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nRed Red Red Green Green Green Red Red Red Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Brown Brown Brown Brown Brown Brown Red Red Red\nRed Red Red Green Green Green Red Red Red Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Brown Brown Brown Brown Brown Brown Red Red Red\nRed Red Red Green Green Green Red Red Red Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Brown Brown Brown Brown Brown Brown Red Red Red\nGray Gray Gray Gray Gray Gray Purple Purple Purple Black Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Purple Purple Purple\nGray Gray Gray Gray Gray Gray Purple Purple Purple Black Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Purple Purple Purple\nGray Gray Gray Gray Gray Gray Purple Purple Purple Black Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Purple Purple Purple\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Black Black Black Green Green Green Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Black Black Black Green Green Green Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Black Black Black Green Green Green Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Gray Gray Gray\nGreen Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Purple Purple Purple Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Red Red Red\nGreen Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Purple Purple Purple Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Red Red Red\nGreen Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Purple Purple Purple Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Red Red Red\nGray Gray Gray Yellow Yellow Yellow Green Green Green Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Red Red Red\nGray Gray Gray Yellow Yellow Yellow Green Green Green Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Red Red Red\nGray Gray Gray Yellow Yellow Yellow Green Green Green Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Red Red Red\nGreen Green Green Pink Pink Pink Orange Orange Orange Black Black Black Green Green Green Red Red Red Pink Pink Pink Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nGreen Green Green Pink Pink Pink Orange Orange Orange Black Black Black Green Green Green Red Red Red Pink Pink Pink Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nGreen Green Green Pink Pink Pink Orange Orange Orange Black Black Black Green Green Green Red Red Red Pink Pink Pink Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black Orange Orange Orange Green Green Green Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black Orange Orange Orange Green Green Green Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black Orange Orange Orange Green Green Green Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nGreen Green Green Purple Purple Purple Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Red Red Red Gray Gray Gray Gray Gray Gray Blue Blue Blue Brown Brown Brown\nGreen Green Green Purple Purple Purple Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Red Red Red Gray Gray Gray Gray Gray Gray Blue Blue Blue Brown Brown Brown\nGreen Green Green Purple Purple Purple Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Red Red Red Gray Gray Gray Gray Gray Gray Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Pink Pink Pink Black Black Black Gray Gray Gray Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Orange Orange Orange\nBrown Brown Brown Gray Gray Gray Pink Pink Pink Black Black Black Gray Gray Gray Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Orange Orange Orange\nBrown Brown Brown Gray Gray Gray Pink Pink Pink Black Black Black Gray Gray Gray Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Brown Brown Brown Black Black Black Red Red Red Purple Purple Purple Purple Purple Purple Orange Orange Orange Red Red Red Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Brown Brown Brown Black Black Black Red Red Red Purple Purple Purple Purple Purple Purple Orange Orange Orange Red Red Red Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Brown Brown Brown Black Black Black Red Red Red Purple Purple Purple Purple Purple Purple Orange Orange Orange Red Red Red Yellow Yellow Yellow\n\nOutput:\nGreen Green Green Yellow Yellow Yellow Brown Brown Brown Black Black Black Red Red Red Purple Purple Purple Purple Purple Purple Orange Orange Orange Red Red Red Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Brown Brown Brown Black Black Black Red Red Red Purple Purple Purple Purple Purple Purple Orange Orange Orange Red Red Red Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Brown Brown Brown Black Black Black Red Red Red Purple Purple Purple Purple Purple Purple Orange Orange Orange Red Red Red Yellow Yellow Yellow\nRed Red Red Green Green Green Red Red Red Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Brown Brown Brown Brown Brown Brown Red Red Red\nRed Red Red Green Green Green Red Red Red Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Brown Brown Brown Brown Brown Brown Red Red Red\nRed Red Red Green Green Green Red Red Red Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Brown Brown Brown Brown Brown Brown Red Red Red\nGray Gray Gray Gray Gray Gray Purple Purple Purple Black Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Purple Purple Purple\nGray Gray Gray Gray Gray Gray Purple Purple Purple Black Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Purple Purple Purple\nGray Gray Gray Gray Gray Gray Purple Purple Purple Black Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Purple Purple Purple\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Black Black Black Green Green Green Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Black Black Black Green Green Green Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Black Black Black Green Green Green Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Gray Gray Gray\nGreen Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Purple Purple Purple Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Red Red Red\nGreen Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Purple Purple Purple Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Red Red Red\nGreen Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Purple Purple Purple Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Red Red Red\nGray Gray Gray Yellow Yellow Yellow Green Green Green Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Red Red Red\nGray Gray Gray Yellow Yellow Yellow Green Green Green Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Red Red Red\nGray Gray Gray Yellow Yellow Yellow Green Green Green Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Red Red Red\nGreen Green Green Pink Pink Pink Orange Orange Orange Black Black Black Green Green Green Red Red Red Pink Pink Pink Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nGreen Green Green Pink Pink Pink Orange Orange Orange Black Black Black Green Green Green Red Red Red Pink Pink Pink Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nGreen Green Green Pink Pink Pink Orange Orange Orange Black Black Black Green Green Green Red Red Red Pink Pink Pink Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black Orange Orange Orange Green Green Green Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black Orange Orange Orange Green Green Green Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black Orange Orange Orange Green Green Green Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nGreen Green Green Purple Purple Purple Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Red Red Red Gray Gray Gray Gray Gray Gray Blue Blue Blue Brown Brown Brown\nGreen Green Green Purple Purple Purple Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Red Red Red Gray Gray Gray Gray Gray Gray Blue Blue Blue Brown Brown Brown\nGreen Green Green Purple Purple Purple Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Red Red Red Gray Gray Gray Gray Gray Gray Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Pink Pink Pink Black Black Black Gray Gray Gray Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Orange Orange Orange\nBrown Brown Brown Gray Gray Gray Pink Pink Pink Black Black Black Gray Gray Gray Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Orange Orange Orange\nBrown Brown Brown Gray Gray Gray Pink Pink Pink Black Black Black Gray Gray Gray Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Orange Orange Orange\n\n\nExample 3\nInput:\nOrange Orange Orange Blue Blue Blue Purple Purple Purple Red Red Red Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Green Green Green\nOrange Orange Orange Blue Blue Blue Purple Purple Purple Red Red Red Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Green Green Green\nOrange Orange Orange Blue Blue Blue Purple Purple Purple Red Red Red Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Green Green Green\nGray Gray Gray Red Red Red Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Red Red Red Brown Brown Brown Green Green Green Green Green Green\nGray Gray Gray Red Red Red Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Red Red Red Brown Brown Brown Green Green Green Green Green Green\nGray Gray Gray Red Red Red Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Red Red Red Brown Brown Brown Green Green Green Green Green Green\nOrange Orange Orange Gray Gray Gray Yellow Yellow Yellow Green Green Green Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Blue Blue Blue\nOrange Orange Orange Gray Gray Gray Yellow Yellow Yellow Green Green Green Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Blue Blue Blue\nOrange Orange Orange Gray Gray Gray Yellow Yellow Yellow Green Green Green Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Red Red Red Green Green Green Gray Gray Gray Red Red Red\nGray Gray Gray Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Red Red Red Green Green Green Gray Gray Gray Red Red Red\nGray Gray Gray Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Red Red Red Green Green Green Gray Gray Gray Red Red Red\nPurple Purple Purple Brown Brown Brown Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Green Green Green Blue Blue Blue Purple Purple Purple Blue Blue Blue Pink Pink Pink Blue Blue Blue Purple Purple Purple Gray Gray Gray Green Green Green\nPurple Purple Purple Green Green Green Blue Blue Blue Purple Purple Purple Blue Blue Blue Pink Pink Pink Blue Blue Blue Purple Purple Purple Gray Gray Gray Green Green Green\nPurple Purple Purple Green Green Green Blue Blue Blue Purple Purple Purple Blue Blue Blue Pink Pink Pink Blue Blue Blue Purple Purple Purple Gray Gray Gray Green Green Green\nRed Red Red Purple Purple Purple Orange Orange Orange Pink Pink Pink Purple Purple Purple Purple Purple Purple Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray\nRed Red Red Purple Purple Purple Orange Orange Orange Pink Pink Pink Purple Purple Purple Purple Purple Purple Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray\nRed Red Red Purple Purple Purple Orange Orange Orange Pink Pink Pink Purple Purple Purple Purple Purple Purple Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple Red Red Red\nBlue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple Red Red Red\nBlue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple Red Red Red\nGreen Green Green Gray Gray Gray Red Red Red Green Green Green Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow Green Green Green Gray Gray Gray\nGreen Green Green Gray Gray Gray Red Red Red Green Green Green Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow Green Green Green Gray Gray Gray\nGreen Green Green Gray Gray Gray Red Red Red Green Green Green Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow Green Green Green Gray Gray Gray\n\nOutput:\nGreen Green Green Gray Gray Gray Red Red Red Green Green Green Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow Green Green Green Gray Gray Gray\nGreen Green Green Gray Gray Gray Red Red Red Green Green Green Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow Green Green Green Gray Gray Gray\nGreen Green Green Gray Gray Gray Red Red Red Green Green Green Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow Green Green Green Gray Gray Gray\nOrange Orange Orange Blue Blue Blue Purple Purple Purple Red Red Red Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Green Green Green\nOrange Orange Orange Blue Blue Blue Purple Purple Purple Red Red Red Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Green Green Green\nOrange Orange Orange Blue Blue Blue Purple Purple Purple Red Red Red Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Green Green Green\nGray Gray Gray Red Red Red Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Red Red Red Brown Brown Brown Green Green Green Green Green Green\nGray Gray Gray Red Red Red Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Red Red Red Brown Brown Brown Green Green Green Green Green Green\nGray Gray Gray Red Red Red Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Red Red Red Brown Brown Brown Green Green Green Green Green Green\nOrange Orange Orange Gray Gray Gray Yellow Yellow Yellow Green Green Green Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Blue Blue Blue\nOrange Orange Orange Gray Gray Gray Yellow Yellow Yellow Green Green Green Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Blue Blue Blue\nOrange Orange Orange Gray Gray Gray Yellow Yellow Yellow Green Green Green Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Red Red Red Green Green Green Gray Gray Gray Red Red Red\nGray Gray Gray Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Red Red Red Green Green Green Gray Gray Gray Red Red Red\nGray Gray Gray Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Red Red Red Green Green Green Gray Gray Gray Red Red Red\nPurple Purple Purple Brown Brown Brown Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Green Green Green Blue Blue Blue Purple Purple Purple Blue Blue Blue Pink Pink Pink Blue Blue Blue Purple Purple Purple Gray Gray Gray Green Green Green\nPurple Purple Purple Green Green Green Blue Blue Blue Purple Purple Purple Blue Blue Blue Pink Pink Pink Blue Blue Blue Purple Purple Purple Gray Gray Gray Green Green Green\nPurple Purple Purple Green Green Green Blue Blue Blue Purple Purple Purple Blue Blue Blue Pink Pink Pink Blue Blue Blue Purple Purple Purple Gray Gray Gray Green Green Green\nRed Red Red Purple Purple Purple Orange Orange Orange Pink Pink Pink Purple Purple Purple Purple Purple Purple Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray\nRed Red Red Purple Purple Purple Orange Orange Orange Pink Pink Pink Purple Purple Purple Purple Purple Purple Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray\nRed Red Red Purple Purple Purple Orange Orange Orange Pink Pink Pink Purple Purple Purple Purple Purple Purple Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple Red Red Red\nBlue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple Red Red Red\nBlue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Green Green Green Pink Pink Pink Purple Purple Purple Red Red Red Brown Brown Brown Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Green Green Green Pink Pink Pink Purple Purple Purple Red Red Red Brown Brown Brown Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Green Green Green Pink Pink Pink Purple Purple Purple Red Red Red Brown Brown Brown Orange Orange Orange\nGreen Green Green Pink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Brown Brown Brown Green Green Green Purple Purple Purple\nGreen Green Green Pink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Brown Brown Brown Green Green Green Purple Purple Purple\nGreen Green Green Pink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Brown Brown Brown Green Green Green Purple Purple Purple\nPink Pink Pink Purple Purple Purple Red Red Red Blue Blue Blue Green Green Green Pink Pink Pink Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nPink Pink Pink Purple Purple Purple Red Red Red Blue Blue Blue Green Green Green Pink Pink Pink Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nPink Pink Pink Purple Purple Purple Red Red Red Blue Blue Blue Green Green Green Pink Pink Pink Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nPink Pink Pink Red Red Red Orange Orange Orange Pink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Blue Blue Blue Brown Brown Brown Orange Orange Orange\nPink Pink Pink Red Red Red Orange Orange Orange Pink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Blue Blue Blue Brown Brown Brown Orange Orange Orange\nPink Pink Pink Red Red Red Orange Orange Orange Pink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Blue Blue Blue Brown Brown Brown Orange Orange Orange\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple Red Red Red Green Green Green Orange Orange Orange Green Green Green Brown Brown Brown Red Red Red\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple Red Red Red Green Green Green Orange Orange Orange Green Green Green Brown Brown Brown Red Red Red\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple Red Red Red Green Green Green Orange Orange Orange Green Green Green Brown Brown Brown Red Red Red\nPurple Purple Purple Red Red Red Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Blue Blue Blue Orange Orange Orange Brown Brown Brown\nPurple Purple Purple Red Red Red Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Blue Blue Blue Orange Orange Orange Brown Brown Brown\nPurple Purple Purple Red Red Red Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Blue Blue Blue Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Green Green Green Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Green Green Green Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Green Green Green Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Purple Purple Purple\nGreen Green Green Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Orange Orange Orange Red Red Red\nGreen Green Green Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Orange Orange Orange Red Red Red\nGreen Green Green Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Orange Orange Orange Red Red Red\nGray Gray Gray Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Green Green Green Gray Gray Gray Purple Purple Purple Gray Gray Gray Blue Blue Blue\nGray Gray Gray Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Green Green Green Gray Gray Gray Purple Purple Purple Gray Gray Gray Blue Blue Blue\nGray Gray Gray Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Green Green Green Gray Gray Gray Purple Purple Purple Gray Gray Gray Blue Blue Blue\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Red Red Red\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Red Red Red\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red 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```\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Red Red Red\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Red Red Red\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Green Green Green Pink Pink Pink Purple Purple Purple Red Red Red Brown Brown Brown Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Green Green Green Pink Pink Pink Purple Purple Purple Red Red Red Brown Brown Brown Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Green Green Green Pink Pink Pink Purple Purple Purple Red Red Red Brown Brown Brown Orange Orange Orange\nGreen Green Green Pink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Brown Brown Brown Green Green Green Purple Purple Purple\nGreen Green Green Pink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Brown Brown Brown Green Green Green Purple Purple Purple\nGreen Green Green Pink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Brown Brown Brown Green Green Green Purple Purple Purple\nPink Pink Pink Purple Purple Purple Red Red Red Blue Blue Blue Green Green Green Pink Pink Pink Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nPink Pink Pink Purple Purple Purple Red Red Red Blue Blue Blue Green Green Green Pink Pink Pink Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nPink Pink Pink Purple Purple Purple Red Red Red Blue Blue Blue Green Green Green Pink Pink Pink Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nPink Pink Pink Red Red Red Orange Orange Orange Pink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Blue Blue Blue Brown Brown Brown Orange Orange Orange\nPink Pink Pink Red Red Red Orange Orange Orange Pink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Blue Blue Blue Brown Brown Brown Orange Orange Orange\nPink Pink Pink Red Red Red Orange Orange Orange Pink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Blue Blue Blue Brown Brown Brown Orange Orange Orange\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple Red Red Red Green Green Green Orange Orange Orange Green Green Green Brown Brown Brown Red Red Red\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple Red Red Red Green Green Green Orange Orange Orange Green Green Green Brown Brown Brown Red Red Red\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple Red Red Red Green Green Green Orange Orange Orange Green Green Green Brown Brown Brown Red Red Red\nPurple Purple Purple Red Red Red Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Blue Blue Blue Orange Orange Orange Brown Brown Brown\nPurple Purple Purple Red Red Red Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Blue Blue Blue Orange Orange Orange Brown Brown Brown\nPurple Purple Purple Red Red Red Brown Brown Brown Purple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Blue Blue Blue Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Green Green Green Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Green Green Green Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Green Green Green Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Purple Purple Purple\nGreen Green Green Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Orange Orange Orange Red Red Red\nGreen Green Green Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Orange Orange Orange Red Red Red\nGreen Green Green Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Orange Orange Orange Red Red Red\nGray Gray Gray Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Green Green Green Gray Gray Gray Purple Purple Purple Gray Gray Gray Blue Blue Blue\nGray Gray Gray Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Green Green Green Gray Gray Gray Purple Purple Purple Gray Gray Gray Blue Blue Blue\nGray Gray Gray Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Green Green Green Gray Gray Gray Purple Purple Purple Gray Gray Gray 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 Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Blue Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Black Black\nBlack Black Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Black Black\nBlack Black Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Green Red Black\nRed Red Green Red Black\nGreen Green Brown Green Green\nBlack Red Green Red Red\nBlack Red Green Black Black\n\nOutput:\nBlack Black Brown Brown Black\nBrown Brown Brown Brown Black\nBrown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown\nBlack Brown Brown Black Black\n\n\nExample 3\nInput:\nBlack Black Gray Black Black Black\nBlack Gray Gray Black Gray Black\nBlack Black Brown Brown Gray Gray\nGray Gray Brown Brown Black Black\nBlack Gray Black Gray Gray Black\nBlack Black Black Gray Black Black\n\nOutput:\nBlack Black Brown Black Black Black\nBlack Brown Brown Black Brown Black\nBlack Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black\nBlack Brown Black Brown Brown Black\nBlack Black Black Brown Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Black Gray Red Red\nRed Black Black Yellow Black Red\nGray Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Gray\nRed Black Yellow Black Black Red\nRed Red Gray Black 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```\nBlue Blue Black Blue Blue Blue\nBlue Black Black Blue Black Blue\nBlue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue\nBlue Black Blue Black Black Blue\nBlue Blue Blue Black 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 Gray Gray\nBlack Black Purple Purple Purple Black Black Black Gray Gray\nOrange Orange Orange Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Pink Pink Yellow Yellow Yellow Brown Brown\nBlack Black Black Pink Pink Yellow Yellow Yellow Brown Brown\nBlack Black Blue Pink Pink Yellow Yellow Yellow Black Black\nBlack Black Blue Pink Pink Yellow Yellow Yellow Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Gray Gray\nRed Red Purple Purple Purple Red Red Red Gray Gray\nOrange Orange Orange Red Red Red Green Green Green Green\nRed Red Red Red Red Red Green Green Green Green\nRed Red Red Red Red Red Green Green Green Green\nRed Red Red Red Red Red Green Green Green Green\nRed Red Red Pink Pink Yellow Yellow Yellow Brown Brown\nRed Red Red Pink Pink Yellow Yellow Yellow Brown Brown\nRed Red Blue Pink Pink Yellow Yellow Yellow Red Red\nRed Red Blue Pink Pink Yellow Yellow Yellow Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Blue Blue Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Orange Red Red Yellow Yellow Yellow Yellow Red\nRed Red Orange Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Pink Pink Pink Blue Blue Red Red\nRed Red Red Pink Pink Pink Red Red Red Red\nRed Red Red Pink Pink Pink Red Red Red Red\n\n\nExample 3\nInput:\nBlack Yellow Yellow Yellow Yellow Green Green Green Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black\nBlack Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Yellow Yellow Yellow Yellow Green Green Green Red Red\nRed Yellow Yellow Yellow Yellow Red Red Red Red Red\nRed Yellow Yellow Yellow Yellow Purple Purple Purple Purple Red\nRed Yellow Yellow Yellow Yellow Purple Purple Purple Purple Red\nRed Red Red Orange Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Pink Pink Black Black Black Black Black\nBlack Orange Orange Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Brown Brown Brown Brown Green Green Green Green\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\nRed Red Gray Gray Red Red Red Red Red Red\nRed Red Gray Gray Red Red Red Blue Red Red\nRed Red Red Red Red Red Red Blue Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Orange Orange Pink Pink Red Red Red Red Red\nRed Orange Orange Red Red Red Purple Purple Purple Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Green Green Green Green\nRed Red Brown Brown Brown Brown Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow 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 Yellow Yellow Yellow\nYellow Yellow Yellow Yellow 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 Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Pink Pink Pink Pink Pink Pink Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Pink Pink Pink Pink Pink Pink Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Black Black Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Black Black Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow 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 Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nYellow Yellow Black Black Brown Brown Black Black Yellow Yellow Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Brown Brown Black Black Yellow Yellow Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nYellow Yellow Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack 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 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 Black Black Black\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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Black Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Black Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Black Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Black Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Black Black Blue Blue Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Black Black Blue Blue Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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\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 Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue 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 Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Purple Purple Purple Purple Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Purple Purple Purple Purple Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Gray Gray Black Black Green Green Green Green\nGreen Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Gray Gray Black Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Gray Gray Black Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Gray Gray Black Black Green Green Green Green\nBrown Brown Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Green Green Green Green Green Green Green Green Black Black Red Red Black Black Green Green Green Green\nBrown Brown Brown Brown Brown Brown Green Green Green Green Green Green Green Green Black Black Red Red Black Black Green Green Green Green\nBlack Black Brown Brown Black Black Green Green Green Green Green Green Green Green Red Red Red Red Red Red Green Green Green Green\nBlack Black Brown Brown Black Black Green Green Green Green Green Green Green Green Red Red Red Red Red Red Green Green Green Green\nBlack Black Brown Brown Black Black Green Green Green Green Green Green Green Green Black Black Red Red Black Black Green Green Green Green\nBlack Black Brown Brown Black Black Green Green Green Green Green Green Green Green Black Black Red Red Black Black Green 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\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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Red Red 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 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 Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Brown Brown Brown Brown Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Brown Brown Brown Brown Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray 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 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```\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 Brown Brown Brown Brown Brown Brown 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black 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 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\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 Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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"
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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:\nBrown Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Brown Orange Gray Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Red Black Black Black Black\nOrange Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\n\nOutput:\nBrown Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Purple Black 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 Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Brown Orange Gray Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Red Black Black Black Black\nOrange Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Red\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Red Black Black Black\nBlack Black Black Black Black Blue Black Pink Yellow Yellow Yellow Yellow Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange 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 Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Red\nBlack Black Black Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Red\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Red Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Red Black Black Black\nBlack Black Black Black Black Blue Black Pink Yellow Yellow Yellow Yellow Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Purple Black Black Yellow Yellow Yellow Yellow Yellow Black Red Black Black Black\nBlack Green Black Black Black Yellow Yellow Yellow Yellow Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Green Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black Brown\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 Yellow Yellow Yellow Yellow Yellow Black Red Black Black Black\nBlack Black Purple Black Black Yellow Yellow Yellow Yellow Red Black Red Black Black Black\nBlack Green Black Black Black Yellow Yellow Yellow Yellow Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Green Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Brown Black Black Black Gray Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Orange Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Gray\nBlack Black Black Black Black Black Brown Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Brown Black Black Black Gray Pink Pink Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Orange Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Gray\nBlack Black Black Black Black Black Brown Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 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 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 Red Red Red Yellow Yellow Yellow Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Red Red Red\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 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 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 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Gray Gray Gray\nRed Red Red Red Red Red Gray Gray Gray\nRed Red Red Red Red Red Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Red Red Red Purple Purple Purple\nRed Red Red Red Red Red Purple Purple Purple\nRed Red Red Red Red Red Purple Purple Purple\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 Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nPurple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray 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 Gray Gray Gray Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Pink Pink Pink\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\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\nOrange Orange Orange Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Orange Orange Orange Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Yellow Yellow Yellow Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Red Red Red Brown Brown Brown\nBrown Brown Brown Red Red Red Brown Brown Brown\nBrown Brown Brown Red Red Red Brown Brown Brown\nRed Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red\nBrown Brown Brown Black Black Black Red Red Red\nBrown Brown Brown Black Black Black Red Red Red\nBrown Brown Brown Black Black Black Red Red Red\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:\nRed Red Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Pink Pink Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Pink Pink Brown 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 Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\n\nOutput:\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Orange Orange\nBlack Black Black Black Red Red Black Black Black Black Orange Orange\nBlack Black Black Black Red Red Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Red Red Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Black Black Black Black\nGray Gray Gray Gray Gray Gray Pink Pink Black Black Black Black\nGray Gray Black Black Black Black Pink Pink Black Black Black Black\nGray Gray Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Green Green Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Green Green Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Red Red\nBrown Brown 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 Brown\nYellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black Black Black\n\nOutput:\nGreen Green Green Green Black Black Black Black Purple Purple Purple Purple\nGreen Green Green Green Black Black Black Black Purple Purple Purple Purple\nGreen Green Green Green Black Black Black Black Purple Purple Purple Purple\nGreen Green Green Green Black Black Black Black Purple Purple Purple Purple\nBlack Black Green Green Green Green Purple Purple Purple Purple Black Black\nBlack Black Green Green Green Green Purple Purple Purple Purple Black Black\nBlack Black Gray Gray Gray Gray Red Red Red Red Black Black\nBlack Black Gray Gray Gray Gray Red Red Red Red Black Black\nBlack Black Gray Gray Gray Gray Red Red Red Red Black Black\nBlack Black Gray Gray Gray Gray Red Red Red Red Black Black\nBlack Black Gray Gray Gray Gray Red Red Red Red Black Black\nBlack Black Gray Gray Gray Gray Red Red Red Red Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Pink Pink Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Pink Pink Blue Blue\nBrown Brown 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 Brown\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black\n\nOutput:\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Blue Blue Blue Blue\nBlack Black Pink Pink Pink Pink Black Black Blue Blue Blue Blue\nBlack Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBrown Brown 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 Brown\nOrange Orange Pink Pink Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nOrange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Gray Gray Gray Gray Green Green Green Green Green Green\nBlack Black Gray Gray Gray Gray Green Green Green Green Green Green\nBlack Black Gray Gray Gray Gray Green Green Green Green Green Green\nBlack Black Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Green Green Black Black Black Black\nGray Gray Gray Gray Gray Gray Green Green Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Green Green Orange Black\nBlack Black Black Red Orange Purple Yellow Black\nBlack Black Black Red Orange Purple Yellow Black\nBlack Black Black Red Green Green Orange 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 Orange Yellow Yellow Orange Black\nBlack Black Black Green Purple Purple Green Black\nBlack Black Black Green Orange Orange Green Black\nBlack Black Black Red Red Red Red 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Brown Gray Black Black Black\nBlack Black Black Orange Orange Black Black Black\nBlack Black Black Brown Gray Black Black Black\nBlack Black Black Pink Pink 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 Pink Gray Black Black Black\nBlack Black Black Pink Brown 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 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 Pink Blue Pink Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Purple Yellow Purple 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 Black Black Black Black Black Pink Blue Purple Black\nBlack Black Black Black Black Black Blue Blue Yellow Black\nBlack Black Black Black Black Black Pink Blue Purple 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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Pink Black\nBlack Black Black Black Yellow Pink Black\nBlack Black Black Black Yellow Pink Black\nBlack Black Black Black Orange Pink 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\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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black\nBlack Black Black Black Orange Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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:\nBlue Blue Blue Blue Blue\nBlue Blue Red Red Red\nBlue Blue Red Red Red\nBlue Blue Red Red Red\nBlue Blue Blue Blue Blue\n\nOutput:\nYellow Yellow Yellow Blue Blue\nYellow Yellow Yellow Red Red\nYellow Yellow Yellow Red Red\nBlue Blue Red Red Red\nBlue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Red Red Red Blue\nBlue Red Red Red Blue\nBlue Red Red Red Blue\n\nOutput:\nYellow Yellow Yellow Blue Blue\nYellow Yellow Yellow Blue Blue\nYellow Yellow Yellow Red Blue\nBlue Red Red Red Blue\nBlue Red Red Red Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Red Red Red\nBlue Blue Red Red Red\nBlue Blue Red Red Red\n\nOutput:\nYellow Yellow Yellow Blue Blue\nYellow Yellow Yellow Blue Blue\nYellow Yellow Yellow Red Red\nBlue Blue Red Red Red\nBlue Blue Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Blue Blue\nRed Red Red Blue Blue\nRed Red Red Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Blue Blue\nYellow Yellow Yellow Blue Blue\nYellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue\nBlue 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 Purple Black Black\nBlack Black Black Green Black Black\nBlack Black Black Orange Black Black\nBlack Black Black Yellow Black Black\nBlack Black Black Orange Black Black\nBlack Black Black Yellow Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red\nGray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Orange Black Black\nBlack Black Black Red Black Black\nBlack Black Black Orange Black Black\nBlack Black Black Purple Black Black\nBlack Black Black Yellow Black Black\nBlack Black Black Purple Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red\nPink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Purple Black Black\nBlack Black Black Orange Black Black\nBlack Black Black Orange Black Black\nBlack Black Black Red Black Black\nBlack Black Black Brown Black Black\nBlack Black Black Purple Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Black Black\nBlack Black Black Brown Black Black\nBlack Black Black Yellow Black Black\nBlack Black Black Yellow Black Black\nBlack Black Black Brown Black Black\nBlack Black Black Brown Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black\nBlack 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 Black\nBlack 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black 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\nBlack Black 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\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black 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 Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Green Green Green Black Black Yellow Yellow Yellow Black Black\nBlack Black Green Green Green Black Black Yellow Yellow Yellow Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Yellow Yellow Yellow Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack 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\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 Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink 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\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack 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\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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink 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\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray\nPurple Black Black Black Black Black Brown Brown\nPurple Black Black Black Black Brown Brown Brown\nPurple Black Gray Gray Brown Gray Gray Brown\nPurple Black Black Gray Gray Brown Gray Brown\nPurple Black Black Gray Black Brown Brown Brown\nPurple Black Black Black Black Gray Black Brown\nPurple Black Black Black Gray Gray Black Brown\nPurple Brown Black Black Gray Black Black Brown\nPurple Brown Brown Brown Brown Black Black Brown\nPurple Gray Black Black Black Black Black Brown\nBlue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nPurple Gray Gray Gray Gray Brown\nPurple Black Black Black Brown Brown\nPurple Gray Gray Brown Gray Brown\nPurple Black Gray Gray Brown Brown\nPurple Black Gray Black Brown Brown\nPurple Black Black Black Gray Brown\nPurple Black Black Gray Gray Brown\nPurple Black Black Gray Black Brown\nPurple Brown Brown Brown Black Brown\nPurple Blue Blue Blue Blue Brown\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Purple Purple Purple\nRed Purple Purple Purple Purple Purple Gray\nRed Purple Purple Purple Purple Purple Gray\nRed Purple Purple Purple Purple Purple Gray\nRed Purple Purple Purple Purple Purple Gray\nRed Purple Black Purple Black Purple Gray\nRed Purple Purple Black Purple Purple Gray\nRed Purple Purple Black Purple Purple Gray\nRed Purple Purple Purple Purple Purple Gray\nPink Pink Pink Pink Pink Pink Pink\n\nOutput:\nRed Purple Purple Purple Gray\nRed Purple Purple Purple Gray\nRed Purple Purple Purple Gray\nRed Purple Purple Purple Gray\nRed Black Purple Black Gray\nRed Purple Black Purple Gray\nRed Purple Black Purple Gray\nRed Pink Pink Pink Gray\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red\nPink Black Black Pink Black Black Purple\nPink Blue Blue Pink Pink Blue Purple\nPink Blue Blue Blue Blue Blue Purple\nPink Blue Blue Blue Blue Blue Purple\nPink Blue Pink Blue Black Black Purple\nPink Blue Blue Blue Blue Blue Purple\nPink Blue Blue Blue Blue Blue Purple\nPink Blue Blue Pink Pink Blue Purple\nPink Black Black Pink Black Black Purple\nBrown Brown Brown Brown Brown Brown Brown\n\nOutput:\nPink Red Red Red Purple\nPink Blue Pink Pink Purple\nPink Blue Blue Blue Purple\nPink Blue Blue Blue Purple\nPink Pink Blue Black Purple\nPink Blue Blue Blue Purple\nPink Blue Blue Blue Purple\nPink Blue Pink Pink Purple\nPink Brown Brown Brown Purple\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlue Blue Blue Blue Black Blue Blue Blue Yellow\nBlue Blue Blue Blue Black Blue Blue Blue Yellow\nBlue Blue Blue Blue Black Blue Blue Blue Yellow\nBlue Black Blue Blue Blue Blue Blue Black Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown 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```\nBlue Orange Orange Orange Orange Orange Yellow\nBlue Blue Blue Black Blue Blue Yellow\nBlue Blue Blue Black Blue Blue Yellow\nBlue Blue Blue Black Blue Blue Yellow\nBlue Blue Blue Blue Blue Blue Yellow\nBlue Blue Blue Blue Blue Blue Yellow\nBlue Brown Brown Brown Brown Brown Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Green Green Green Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Green Green Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray\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 Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Yellow Yellow Yellow Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Yellow Yellow Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Blue Black Black Black Black Black\nBlack Green Black Black Black Blue Blue Blue Black Black Black Black\nBlack Green Green Green Black Black Blue Gray Gray Gray Gray Gray\nBlack Black Black Black Black Yellow Black Gray Gray Gray Gray Gray\nBlack Black Black Black Yellow Yellow Yellow Gray Gray Gray Gray Gray\nBlack Black Black Black Black Yellow Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray\nRed Black Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red 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 Yellow Black Black Black Black Green Black Black Black Black Black\nBlack Yellow Black Black Black Green Green Green Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Green Gray Gray Gray Gray Gray\nBlack Black Black Black Black Red Black Gray Gray Gray Gray Gray\nBlack Black Black Black Red Red Red Gray Gray Gray Gray Gray\nBlack Black Black Black Black Red Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlue Black Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue 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\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Yellow Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Yellow Yellow Yellow Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Red Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Blue Blue Black Black Black Black Red Red Red Black Black\nBlack Black Black Blue Blue Blue Black Black Black Red Black Red Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Green Green Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Green Green Green Black Black Black Blue Black Blue Black Black\nBlack Black Black 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\nBlack Black Black Black 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:\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nRed Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\n\nOutput:\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Brown Brown Brown Red Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Brown Brown Brown Red Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Brown Brown Brown Red Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nOrange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\n\n\nExample 2\nInput:\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Pink Pink Pink Purple Purple Purple Green Green Green\nBlue Blue Blue Pink Pink Pink Purple Purple Purple Green Green Green\nBlue Blue Blue Pink Pink Pink Purple Purple Purple Green Green Green\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Green Green Green\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Green Green Green\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Green Green Green\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 Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red\n\nOutput:\nOrange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Brown Brown Brown Green Green Green Blue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Green Green Green\nGreen Green Green Brown Brown Brown Green Green Green Blue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Green Green Green\nGreen Green Green Brown Brown Brown Green Green Green Blue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Green Green Green\nGreen Green Green Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red\n\n\nExample 3\nInput:\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nOrange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\n\nOutput:\nGray Gray Gray Brown Brown Brown Blue Blue Blue Gray Gray Gray Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Blue Blue Blue Gray Gray Gray Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Blue Blue Blue Gray Gray Gray Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Pink Pink Pink Blue Blue Blue\nRed Red Red Pink Pink Pink Blue Blue Blue\nRed Red Red Pink Pink Pink Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Blue Blue Blue 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```\nBlue Blue Blue Green Green Green Brown Brown Brown Red Red Red Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Green Green Green Brown Brown Brown Red Red Red Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Green Green Green Brown Brown Brown Red Red Red Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nGreen Green Green Blue Blue Blue Brown Brown Brown Purple Purple Purple Blue Blue Blue Pink Pink Pink\nGreen Green Green Blue Blue Blue Brown Brown Brown Purple Purple Purple Blue Blue Blue Pink Pink Pink\nGreen Green Green Blue Blue Blue Brown Brown Brown Purple Purple Purple Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nGreen Yellow Blue Gray Orange Pink Red Red Gray Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nGreen Green Orange Pink Brown Orange Orange Purple Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Green Red Blue Pink Orange Orange Purple Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Pink Pink Orange Green Purple Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Pink Brown Gray Red Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Pink Pink Orange Green Purple Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Green Red Blue Pink Orange Orange Purple Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Orange Pink Brown Orange Orange Purple Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Yellow Blue Gray Orange Pink Red Red Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nPink Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nPink Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Pink 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange 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 Blue Orange Brown Brown Blue Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Brown Pink Brown Pink Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Orange Pink Blue Pink Brown Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Yellow Blue Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Orange Purple Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Blue Blue Blue Purple Blue Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Blue Blue Purple 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 Black Black\n\nOutput:\nBlack Black Black Orange Orange Black Orange Black Black Black Orange Orange\nBlack Black Black Orange Orange Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Orange Black Black Black Orange Orange\nBlack Black Black Orange Orange Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Orange Black Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple 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\nBlack Black Black Green Red Red Yellow Yellow Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Orange Orange Orange Green Orange Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Green Orange Orange Orange Orange Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Orange Orange Gray Orange Orange Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Orange Orange Orange Orange Green Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Orange Green Orange Orange Orange Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Purple Yellow Yellow Red Red Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Black\nPurple 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 Purple\nBlack Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Green Brown Green Green Green Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Green Green Green Pink Green Green Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Blue Gray Gray Orange Brown Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Yellow Gray Green Gray Pink Brown Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Yellow Gray Green Gray Pink Brown Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Blue Gray Gray Orange Brown Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Green Green Green Pink Green Green Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Green Brown Green Green Green Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Green Black Green Green Green Black Black\nBlack Green Green Green Black Green Green Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Green Green Black Green Green Black\nBlack Green Black Green Green Green Black Black\n```",
"role": "assistant"
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]
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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 Orange 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 Green 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 Orange Black Green Black\nBlack Black Black Black Black Orange Black Green Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Black Green Black\nBlack Black Black Black Black Orange Black Green Black\nGreen Green Green Green Green Orange Green Orange Green\nBlack Black Black Black Black Orange Black Green Black\nBlack Black Black Black Black Orange Black Green Black\nBlack Black Black Black Black Orange Black Green 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 Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green 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 Orange Black Green Black Black Black\nBlack Black Black Orange Black Green Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Green Black Black Black\nBlack Black Black Orange Black Green Black Black Black\nBlack Black Black Orange Black Green Black Black Black\nGreen Green Green Orange Green Orange Green Green Green\nBlack Black Black Orange Black Green Black Black Black\nBlack Black Black Orange Black Green 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 Orange\nBlack Black Black Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Green Black Orange\nBlack Black Black Black Black Black Green Black Orange\nBlack Black Black Black Black Black Green Black Orange\nBlack Black Black Black Black Black Green Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Green Black Orange\nGreen Green Green Green Green Green Orange Green Orange\nBlack Black Black Black Black Black Green Black Orange\nBlack Black Black Black Black Black Green 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 Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange 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 Green Orange Black Black Black\nBlack Black Black Black Green Orange Black Black Black\nBlack Black Black Black Green Orange Black Black Black\nBlack Black Black Black Green Orange Black Black Black\nGreen Green Green Green Orange Orange Green Green Green\nBlack Black Black Black Green Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Green Orange Black Black Black\nBlack Black Black Black Green Orange Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Black Black Blue Blue Blue\nBlack Red Black Red Blue Black Blue Blue Black\nRed Red Red Red Blue Black Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black\nBlue Black Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Black Black Green Green Green\nBlack Green Black Green Green Black Green Green Black\nGreen Green Green Green Green Black Green Green Green\nBlack Black Black Black Green Green Green Green Black\nGreen Black Green Green Green Green Green Black Black\nGreen Green Green Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Red Red Red Red Black Black Black Black\nBlack Red Red Red Black Black Black Black Black\nBlack Red Red Red Black Blue Blue Blue Black\nBlack Red Red Red Red Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Green Green Green Green Black Black Black Black\nBlack Green Green Green Black Black Black Black Black\nBlack Green Green Green Black Green Green Green Black\nBlack Green Green Green Green Black Black Green Black\nBlack Black Black Black Black Black Black Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Blue Black Black\nRed Red Red Red Blue Blue Blue Black Blue\nRed Red Red Red Black Black Blue Black Blue\nRed Red Red Red Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue 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\nGreen Green Green Green Black Black Green Black Black\nGreen Green Green Green Green Green Green Black Green\nGreen Green Green Green Black Black Green Black Green\nGreen Green Green Green Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Red Red Red Black Black\nBlack Red Red Red Red Black Black\nBlue Red Red Red Red Black Black\nBlue Red Red Red Red Black Black\nBlue Blue Blue Blue Blue Black Black\nBlue Blue Blue Black Blue Black Black\nBlue Black Black Black Blue Blue Blue\nBlue Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\nGreen Green Green Green Green Black Black\nGreen Green Green Green Green Black Black\nGreen Green Green Green Green Black Black\nGreen Green Green Black Green Black Black\nGreen Black Black Black Green Green Green\nGreen Black Black Black Black Black 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:\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red 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 Yellow Yellow Yellow\nYellow Yellow Yellow Yellow 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 Yellow Yellow Yellow\nYellow Yellow Yellow Yellow 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 Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Black Black Pink Black Pink Pink Pink Black Black Black Black Pink\nBlack Black Pink Black Pink Pink Pink Pink Black Pink Black Black Black\nBlack Black Black Pink Black Pink Pink Black Black Black Pink Black Black\nPink Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Pink Pink Black Pink Pink Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Pink Pink Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Pink Black Pink Black Black Black Black Black\nBlack Black Pink Black Black Pink Pink Black Pink Black Black Black Black\nBlack Black Pink Black Black Black Pink Black Black Black Pink Black Black\nBlack Black Pink Black Pink Pink Black Pink Pink Black Black Black Pink\nPink Pink Pink Black Black Pink Black Black Black Black Pink Black Black\nPink Black Black Black Pink Black Pink Black Black Pink Pink Black Pink\n\nOutput:\nPink Black Black Pink Black Pink Pink Pink Black Black Black Black Pink\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nPink Black Black Black Pink Black Pink Black Black Pink Pink Black Pink\n\n\nExample 2\nInput:\nPurple Black Yellow Black Black Yellow Black Black Black Black Black Purple\nBlack Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow\nBlack Black Yellow Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow\nYellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black\nBlack Yellow Black Black Black Black Yellow Yellow Yellow Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Yellow Black Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black Black Black\nBlack Yellow Yellow Black Black Black Yellow Black Black Black Black Black\nPurple Black Black Black Black Yellow Yellow Black Yellow Black Black Purple\n\nOutput:\nPurple Black Yellow Black Black Yellow Black Black Black Black Black Purple\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nPurple Black Black Black Black Yellow Yellow Black Yellow Black Black Purple\n\n\nExample 3\nInput:\nRed Brown Brown Black Brown Black Black Black Black Brown Black Red\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Brown Black Brown Black Brown Brown Black Brown Black Black Brown\nBlack Black Brown Black Brown Brown Black Black Brown Black Black Brown\nBlack Brown Black Black Black Black Black Black Black Brown Black Brown\nBrown Black Black Brown Black Black Black Brown Brown Black Black Black\nBlack Black Brown Black Black Black Brown Black Black Black Black Black\nBlack Brown Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Brown Black Black Black Brown Black Brown Black Brown Black\nBrown Black Brown Black Brown Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Brown Black Brown Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Black Black Brown Black Brown\nRed Brown Black Black Brown Black Black Brown Black Black Brown Red\n\nOutput:\nRed Brown Brown Black Brown Black Black Black Black Brown Black Red\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nRed Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown\nBrown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBrown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nRed Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown\nRed Brown Black Black Brown Black Black Brown Black Black Brown Red\n\n\nHere is the input grid for the test example:\nInput:\nBrown Pink Pink Black Black Black Black Black Black Pink Pink Black Black Brown\nBlack Black Black Black Black Pink Black Pink Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Pink Black Pink Pink Pink Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Black Pink Black Black\nPink Black Black Black Black Black Black Pink Pink Pink Black Pink Black Pink\nBlack Black Black Pink Black Black Pink Black Black Pink Black Pink Black Pink\nBlack Black Pink Black Pink Black Pink Black Black Pink Pink Black Pink Black\nBlack Black Black Pink Black Black Pink Pink Pink Pink Black Pink Black Black\nBlack Pink Pink Black Pink Black Black Pink Black Black Black Pink Black Black\nBlack Black Pink Black Pink Black Black Pink Black Black Black Black Pink Black\nBlack Black Black Black Pink Pink Black Black Black Pink Black Black Pink Black\nBlack Black Black Black Black Black Black Black Pink Black Black Pink Pink Black\nBrown Black Pink Black Black Pink Black Pink 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```\nBrown Pink Pink Black Black Black Black Black Black Pink Pink Black Black Brown\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBrown Black Pink Black Black Pink Black Pink Black Black Black Black Black Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack 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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Purple Purple Purple Purple 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\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Orange Orange\nBlack 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 Orange Orange Orange Orange Orange Orange\nBlack 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 Orange Orange Orange Orange Orange Orange\nBlack 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 Orange Orange Orange Orange Orange Orange\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple\n\nOutput:\nPurple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black 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\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\nBrown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Brown Brown 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 Black Black Black Black 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 Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black 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```\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Orange Orange Orange Orange Black Black\nBlack Black Black Brown Green 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\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:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Blue Blue Blue Blue Pink Pink\nPink Pink Pink Brown Brown Pink Pink Pink Pink Pink\nPink Pink Pink Blue Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Red Black Black 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 Brown Brown Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Red Pink Pink Pink Pink\nPink Pink Pink Brown Brown Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Red Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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 Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Brown Black Black Black Black Black\nBlack Black Black Red Red Green Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Brown Pink Pink Pink Pink Pink\nPink Pink Pink Red Red Brown Pink Pink Pink Pink\nPink Pink Pink Pink Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Blue Blue Pink Pink Pink\nPink Pink Pink Pink Pink Blue Blue Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink 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 Blue Black Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Black Black\nBlack Black Blue Black Black Black Blue Blue Yellow Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Blue Blue Black Yellow Yellow Black Black Black Yellow Blue\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Blue Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Blue Blue Black Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlue Blue Black Black Blue Black Black Black Blue Black Black Black Blue Black Black Black Black Black Blue\nBlue Black Blue Black Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Yellow Black Black Yellow Black Blue Black Black Black Black Black Black Blue\nBlack Black Black Black Black Blue Yellow Black Black Yellow Blue Black Blue Black Black Blue Black Black Black\nBlue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Blue Black Black Black Black Black Black Blue\n\nOutput:\nBlack Orange Black Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Orange Black Black\nBlack Black Orange Black Black Black Orange Orange Yellow Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Orange Orange Black Yellow Yellow Black Black Black Yellow Orange\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Orange Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Orange Black Black Black Orange Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nOrange Orange Black Black Orange Black Black Black Orange Black Black Black Orange Black Black Black Black Black Orange\nOrange Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Orange Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Yellow Black Black Yellow Black Orange Black Black Black Black Black Black Orange\nBlack Black Black Black Black Orange Yellow Black Black Yellow Orange Black Orange Black Black Orange Black Black Black\nOrange Orange Black Black Black Black Yellow Yellow Yellow Yellow Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Orange Black Black Black Black Black Black Orange\n\n\nExample 2\nInput:\nBlue Black Black Black Black Black Black Blue Black Blue Blue Black\nBlue Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Black Blue Blue Blue Black Black Black Black Blue\nBlack Black Black Black Blue Black Blue Black Blue Black Black Black\nBlack Yellow Yellow Yellow Black Blue Black Blue Blue Black Black Black\nBlack Yellow Blue Yellow Black Black Black Black Black Black Blue Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Blue Yellow Blue Black Blue Yellow Black\nBlue Black Black Blue Blue Blue Yellow Black Black Black Yellow Black\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Black\nBlue Black Black Blue Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black Orange Black Orange Orange Black\nOrange Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Orange Black Orange Orange Orange Black Black Black Black Orange\nBlack Black Black Black Orange Black Orange Black Orange Black Black Black\nBlack Yellow Yellow Yellow Black Orange Black Orange Orange Black Black Black\nBlack Yellow Orange Yellow Black Black Black Black Black Black Orange Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Orange Yellow Orange Black Orange Yellow Black\nOrange Black Black Orange Orange Orange Yellow Black Black Black Yellow Black\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Black\nOrange Black Black Orange Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Black Black Black Black Black Black Black Blue Black\nBlue Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Blue Yellow Black Black Yellow Blue Blue Black Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue\nBlack Black Black Black Blue Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Yellow Black Yellow Black Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Black\nBlack Black Blue Black Black Black Black Blue Black Black Blue Black Blue Black\n\nOutput:\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange Black\nOrange Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Orange Yellow Black Black Yellow Orange Orange Black Black Black Black Black\nBlack Black Orange Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange\nBlack Black Black Black Orange Black Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Black Black Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Orange Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Orange Black Black Black Black\nBlack Black Orange Orange Orange Black Yellow Black Yellow Black Orange Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Orange Black\nBlack Black Orange Black Black Black Black Orange Black Black Orange Black Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black Blue Black Blue Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Blue Black Blue Blue Black Black Black Black Blue Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Blue Blue Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Black Blue Black Black Black Yellow Blue Yellow Black Black Black Black Blue\nBlack Black Black Black Blue Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Yellow Black Yellow Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Blue Blue Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Yellow Black Yellow Black Blue Blue Black Black Blue Black Black Black Blue Black Black Blue Black Black Black\nBlack Yellow Yellow Yellow Blue Blue Black Black Black Blue Black Black Black Yellow Yellow Yellow Blue Black Black Black\nBlack Black Blue Blue Black Blue Blue Black Black Black Black Black Black Yellow Blue Yellow Black Black Black Black\nBlue Black Black Black Black Black Black Blue Black Black Black Black Blue Yellow Yellow Yellow Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black 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 Black Black Black Black Black Black Black Orange Black Black Black Orange Black Black Orange Black Orange Black Black\nOrange Orange Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Orange Black Orange Orange Black Black Black Black Orange Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Orange Orange Black Orange Black Black 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 Yellow Yellow Yellow Black Black Black Black Orange\nBlack Black Black Black Black Black Orange Black Orange Black Black Black Yellow Orange Yellow Black Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Yellow Black Yellow Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Orange Orange Orange Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Yellow Black Yellow Black Orange Orange Black Black Orange Black Black Black Orange Black Black Orange Black Black Black\nBlack Yellow Yellow Yellow Orange Orange Black Black Black Orange Black Black Black Yellow Yellow Yellow Orange Black Black Black\nBlack Black Orange Orange Black Orange Orange Black Black Black Black Black Black Yellow Orange Yellow Black Black Black Black\nOrange Black Black Black Black Black Black Orange Black Black Black Black Orange Yellow Yellow Yellow Black Orange Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Orange Black Black Black Black Orange 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow 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 Blue Black Black Black Black Black\nBlack Black Black Yellow Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Yellow 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow\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 Blue Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Yellow\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 Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Yellow Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Yellow Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black 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```",
"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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black 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 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Blue Blue Blue Black Blue Blue Blue Blue\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black 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 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 Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\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 Yellow Yellow Yellow Yellow\nBlack Black Black 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 Yellow Yellow Yellow Yellow\nBlack Black Black 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 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 Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Blue 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 Yellow Yellow Yellow Yellow\nBlack Black Black 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 Yellow Yellow Yellow Yellow\nBlack 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\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 Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Gray Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Gray Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 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 Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Black Black Black Yellow Yellow Yellow 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 Black Blue Blue Blue 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\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 Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red\nGray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nGray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nGray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Red Red Red Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Red Red Red Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Red Red Red Yellow Yellow Yellow Brown Brown Brown\nBlue Blue Blue Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown\nBlue Blue Blue Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown\nBlue Blue Blue Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink\nGray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink\nGray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink\nGray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nGreen Green Green Purple Purple Purple Pink Pink Pink Blue Blue Blue\nGreen Green Green Purple Purple Purple Pink Pink Pink Blue Blue Blue\nGreen Green Green Purple Purple Purple Pink Pink Pink Blue Blue Blue\nGreen Green Green Orange Orange Orange Blue Blue Blue Orange Orange Orange\nGreen Green Green Orange Orange Orange Blue Blue Blue Orange Orange Orange\nGreen Green Green Orange Orange Orange Blue Blue Blue 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\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Pink Pink Pink Blue Blue Blue Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Pink Pink Pink Blue Blue Blue Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Pink Pink Pink Blue Blue Blue Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Purple Purple Purple Orange Orange Orange Orange Orange Orange Red Red Red\nYellow Yellow Yellow Purple Purple Purple Orange Orange Orange Orange Orange Orange Red Red Red\nYellow Yellow Yellow Purple Purple Purple Orange Orange Orange Orange Orange Orange Red Red Red\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Red Red Red\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Red Red Red\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Red Red Red\n\n\nExample 3\nInput:\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange\n\nOutput:\nPink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange\nPink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange\nPink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange\nGray Gray Gray Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nGray Gray Gray Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nGray Gray Gray Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple\nYellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple\nYellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Orange Orange Orange\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Orange Orange Orange\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Pink Pink Pink Red Red Red\nBlue Blue Blue Pink Pink Pink Red Red Red\nBlue Blue Blue Pink Pink Pink Red Red Red\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nPink Pink Pink Blue Blue Blue Purple Purple Purple\nPink Pink Pink Blue Blue Blue Purple Purple Purple\nPink Pink Pink Blue Blue Blue 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 Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Yellow Yellow Yellow Purple Purple Purple\nPink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue 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 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Brown Yellow Pink Black Black Black Black\nBlack Black Black Black Black Gray Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Black Pink 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 Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Gray Red Pink Black Black Black Black\nBlack Black Orange Orange Purple Green Purple Black Black Black\nBlack Black Black Gray Orange Pink Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Gray Purple Blue Black Black Black Black\nBlack Black Purple Green Pink Blue Yellow Black Black Black\nBlack Black Black Yellow Purple Gray Black Black Black Black\nBlack Black Black Black Green 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 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 Pink\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Green\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Purple Pink Blue Gray Gray Black Black Black Black\nBlack Black Black Gray Pink Pink Purple Blue Black Black Black Black\nBlack Black Red Red Red Blue Blue Brown Pink Black Black Black\nBlack Black Black Pink Purple Pink Red Blue Black Black Black Black\nBlack Black Black Pink Red Red Pink Pink Black Black Black Black\nBlack Black Black Black Black Red 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 Pink\nBlack Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black 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\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 Purple Purple Purple Purple Orange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Orange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Orange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Orange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Brown Brown Brown Brown Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Brown Brown Brown Brown Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Brown Brown Brown Brown Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Brown Brown Brown Brown Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink\nOrange Orange Orange Orange Brown Brown Brown Brown Green Green Green Green Green Green Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Green Green Green Green Green Green Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Green Green Green Green Green Green Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Green Green Green Green Green Green Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange\nBlue Blue Blue Blue Pink Pink Pink Pink Gray Gray Gray Gray Purple Purple Purple Purple Orange Orange Orange Orange\nBlue Blue Blue Blue Pink Pink Pink Pink Gray Gray Gray Gray Purple Purple Purple Purple Orange Orange Orange Orange\nBlue Blue Blue Blue Pink Pink Pink Pink Gray Gray Gray Gray Purple Purple Purple Purple Orange Orange Orange Orange\nBlue Blue Blue Blue Pink Pink Pink Pink Gray Gray Gray Gray Purple Purple Purple Purple Orange Orange Orange Orange\n\nOutput:\nBlue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Purple\nPink Pink Pink Pink Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Purple\nPink Pink Pink Pink Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Purple\nPink Pink Pink Pink Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Purple\nGray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Orange Orange\nGray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Orange Orange\nGray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Orange Orange\nGray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Orange Orange\nPurple Purple Purple Purple Gray Gray Gray Gray Orange Orange Orange Orange Blue Blue Blue Blue Pink Pink Pink Pink\nPurple Purple Purple Purple Gray Gray Gray Gray Orange Orange Orange Orange Blue Blue Blue Blue Pink Pink Pink Pink\nPurple Purple Purple Purple Gray Gray Gray Gray Orange Orange Orange Orange Blue Blue Blue Blue Pink Pink Pink Pink\nPurple Purple Purple Purple Gray Gray Gray Gray Orange Orange Orange Orange Blue Blue Blue Blue Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nGreen Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nGreen Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nGreen Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Pink Pink Pink Pink Blue Blue Blue Blue Gray Gray Gray Gray\nRed Red Red Red Green Green Green Green Pink Pink Pink Pink Blue Blue Blue Blue Gray Gray Gray Gray\nRed Red Red Red Green Green Green Green Pink Pink Pink Pink Blue Blue Blue Blue Gray Gray Gray Gray\nRed Red Red Red Green Green Green Green Pink Pink Pink Pink Blue Blue Blue Blue Gray Gray Gray Gray\nRed Red Red Red Orange Orange Orange Orange Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple\nRed Red Red Red Orange Orange Orange Orange Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple\nRed Red Red Red Orange Orange Orange Orange Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple\nRed Red Red Red Orange Orange Orange Orange Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Orange Orange Blue Blue Blue Blue\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Orange Orange Blue Blue Blue Blue\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Orange Orange Blue Blue Blue Blue\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Orange Orange Blue Blue Blue Blue\n\nOutput:\nPurple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Green Green Green Green\nPurple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Green Green Green Green\nPurple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Green Green Green Green\nPurple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Green Green Green Green\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Orange Orange Orange Orange\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Orange Orange Orange Orange\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Orange Orange Orange Orange\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Blue Blue Blue Blue\n\n\nExample 3\nInput:\nGreen Green Green Green Orange Orange Orange Orange Gray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nGreen Green Green Green Orange Orange Orange Orange Gray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nGreen Green Green Green Orange Orange Orange Orange Gray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nGreen Green Green Green Orange Orange Orange Orange Gray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Red Red Red Green Green Green Green Blue Blue Blue Blue Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Red Red Red Red Green Green Green Green Blue Blue Blue Blue Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Red Red Red Red Green Green Green Green Blue Blue Blue Blue Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Red Red Red Red Green Green Green Green Blue Blue Blue Blue Orange Orange Orange Orange\nPurple Purple Purple Purple Pink Pink Pink Pink Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink\nPurple Purple Purple Purple Pink Pink Pink Pink Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink\nPurple Purple Purple Purple Pink Pink Pink Pink Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink\nPurple Purple Purple Purple Pink Pink Pink Pink Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Orange Orange Green Green Green Green\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Orange Orange Green Green Green Green\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Orange Orange Green Green Green Green\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Orange Orange Green Green Green Green\nPurple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Green Green Green Green\nPurple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Green Green Green Green\nPurple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Green Green Green Green\nPurple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Green Green Green Green\n\nOutput:\nPurple Purple Purple Purple Blue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Green Green Green Green\nPurple Purple Purple Purple Blue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Green Green Green Green\nPurple Purple Purple Purple Blue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Green Green Green Green\nPurple Purple Purple Purple Blue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Green Green Green Green\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Blue Blue Blue Blue Orange Orange Orange Orange\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Blue Blue Blue Blue Orange Orange Orange Orange\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Blue Blue Blue Blue Orange Orange Orange Orange\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Blue Blue Blue Blue Orange Orange Orange Orange\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Gray Gray Gray Gray\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Gray Gray Gray Gray\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Gray Gray Gray Gray\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Gray Gray Gray Gray\nBrown Brown Brown Brown Orange Orange Orange Orange Blue Blue Blue Blue Purple Purple Purple Purple Brown Brown Brown Brown\nBrown Brown Brown Brown Orange Orange Orange Orange Blue Blue Blue Blue Purple Purple Purple Purple Brown Brown Brown Brown\nBrown Brown Brown Brown Orange Orange Orange Orange Blue Blue Blue Blue Purple Purple Purple Purple Brown Brown Brown Brown\nBrown Brown Brown Brown Orange Orange Orange Orange Blue Blue Blue Blue Purple Purple Purple Purple Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Green Green Green Green\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Blue Blue Blue Blue\nPink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Purple Purple Purple Purple Brown Brown Brown Brown Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nPink Pink Pink Pink Purple Purple Purple Purple Brown Brown Brown Brown Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nPink Pink Pink Pink Purple Purple Purple Purple Brown Brown Brown Brown Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nPink Pink Pink Pink Purple Purple Purple Purple Brown Brown Brown Brown Yellow Yellow Yellow Yellow Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nPink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nPink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nPink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nPurple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray\nPurple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray\nPurple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray\nPurple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray\nBrown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Pink Pink Pink Pink\nBrown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Pink Pink Pink Pink\nBrown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Pink Pink Pink Pink\nBrown Brown Brown Brown Orange Orange Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nBlue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Black Orange Orange Black Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue\nPink Orange Pink Blue Black Orange Pink Blue Pink Blue Pink Orange\nPink Orange Orange Orange Pink Blue Pink Pink Blue Orange Orange Blue\nOrange Black Blue Black Orange Pink Pink Pink Black Pink Blue Pink\nOrange Black Black Blue Orange Pink Blue Black Blue Orange Blue Pink\nPink Blue Black Blue Pink Black Orange Orange Blue Pink Orange Pink\nBlue Orange Orange Orange Pink Orange Orange Orange Orange Blue Blue Orange\nBlue Black Pink Orange Blue Pink Blue Blue Orange Blue Orange Orange\nBlue Pink Black Blue Orange Blue Pink Pink Orange Pink Blue Orange\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Black Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\n\n\nExample 2\nInput:\nGray Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Brown Gray Pink Gray Pink Brown\nPink Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Brown Pink Gray Brown Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Pink Gray Pink Brown Pink Black Brown Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Gray Black Gray Gray Gray Gray Black Gray\nGray Brown Pink Pink Brown Brown Pink Gray Pink Brown Pink Pink Pink Pink Gray Pink Gray\nBrown Brown Brown Brown Pink Brown Pink Pink Gray Gray Brown Gray Gray Pink Gray Brown Gray\nGray Pink Gray Gray Gray Brown Brown Gray Gray Pink Pink Gray Brown Pink Pink Black Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Brown Brown\nBlack Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Brown Black\nGray Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Pink Black\nPink Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Pink Brown\nGray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Brown Pink Brown Gray\nGray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray Gray\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Pink Pink Pink\n\nOutput:\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Black Black Brown Brown Black Black Black Black Pink Pink Pink Pink Black Black Black\nBrown Brown Brown Brown Black Brown Black Black Gray Gray Black Gray Gray Pink Black Black Black\nBlack Black Gray Gray Gray Brown Brown Gray Gray Black Black Gray Black Pink Pink Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Pink Green Green Green Pink Orange Green Green Pink Black Pink Green Orange Green Green Pink Green Orange\nGreen Pink Orange Green Black Pink Orange Green Pink Pink Pink Green Green Green Green Green Pink Pink Orange\nPink Orange Black Green Green Green Pink Pink Pink Orange Orange Orange Orange Orange Black Pink Pink Orange Black\nOrange Orange Orange Pink Green Pink Green Pink Green Pink Orange Green Orange Green Pink Green Green Orange Black\nGreen Black Orange Orange Black Green Pink Green Green Pink Pink Green Green Green Green Green Green Green Green\nGreen Orange Black Green Orange Black Orange Green Pink Black Pink Green Green Green Green Green Green Green Green\nOrange Orange Green Black Black Black Pink Pink Green Green Pink Green Green Green Green Green Green Green Green\nPink Black Orange Green Orange Pink Orange Orange Green Orange Green Green Green Green Green Green Green Green Green\nGreen Green Green Orange Green Orange Green Pink Green Pink Orange Black Green Green Green Green Green Green Green\nPink Orange Black Pink Pink Green Green Green Orange Orange Orange Orange Green Green Green Green Green Green Green\nGreen Orange Pink Orange Orange Pink Green Orange Pink Pink Orange Green Green Green Green Green Green Green Green\nGreen Green Orange Orange Pink Black Pink Pink Orange Pink Green Green Green Green Green Green Green Green Green\nOrange Green Pink Orange Black Pink Pink Pink Orange Orange Pink Pink Green Green Green Green Green Green Green\nOrange Pink Orange Pink Orange Orange Green Pink Orange Pink Pink Orange Green Green Green Green Green Green Green\nPink Orange Orange Pink Green Green Green Black Pink Black Green Green Black Pink Pink Orange Orange Pink Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Orange Green Orange Green Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green 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\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Gray Gray Brown Gray Yellow Brown Brown Gray\nYellow Yellow Yellow Brown Brown Gray Brown Gray Yellow Yellow Yellow\nBrown Gray Gray Brown Brown Brown Yellow Gray Brown Yellow Gray\nGray Black Gray Gray Gray Brown Black Brown Brown Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Black Black Brown Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Gray Gray Black Black Black Black Black Black Yellow Black\nBlack Black Gray Gray Gray Black Black Black Black Yellow 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 Yellow Yellow Yellow Red Red Red Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Red Red Red 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green\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 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 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 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 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 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 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 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 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\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 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 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 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 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 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 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 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 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\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\nPurple Purple Purple Black Black Black Black Black\nPurple Black Black Black Black Black Black Black\nPurple Black Purple Black Black Black Black Black\nPurple Black Purple Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Black Black Purple Purple Purple\nPurple Black Black Black Black Purple Black Black\nPurple Black Purple Black Black Purple Black Purple\nPurple Purple Purple Black Black Purple Purple Purple\nPurple Purple Purple Black Black Purple Purple Purple\nPurple Black Purple Black Black Purple Black Purple\nPurple Purple Purple Black Black Purple Purple Purple\nPurple Purple Purple Black Black Purple Purple Purple\nPurple Black Purple Black Black Purple Black Purple\nPurple Black Purple Black Black Purple Black Purple\nPurple Purple Purple Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nOrange 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\n\nOutput:\nOrange Black Black Black Orange Black Black Black Black Black\nBlack Orange Orange Orange Black Orange Orange Orange Black Black\nOrange Orange Black Black Orange Orange Black Black Black Black\nOrange Black Black Black Orange Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Orange Black Black Black Black Black\nBlack Orange Orange Orange Black Orange Orange Orange Black Black\nOrange Orange Black Black Orange Orange Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Black Black Black Black Black\nGray Black Black Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nGray Gray 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\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Gray Black Gray Black Black Gray Black\nGray Gray Gray Gray Black Gray Gray Gray Gray Black\nGray Gray Gray Black Black Gray Gray Gray Black Black\nGray Gray Black Gray Black Gray Gray Black Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Gray Black Gray Black Black Gray Black\nGray Gray Gray Gray Black Gray Gray Gray Gray Black\nGray Gray Gray Black Black Gray Gray Gray Black Black\nGray Gray Black Gray Black Gray Gray Black Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Black Black Black\nBlack Pink Black Black Black Black\nPink 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\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 Pink Black Black Pink Black\nPink Black Black Pink Black Black\nBlack Pink Pink Black Pink Pink\nBlack Pink Black Black Pink Black\nPink Black Black Pink 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 Brown Brown Brown Brown 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 Black Black\nBlack Black Black Black Black Black Blue Blue Brown Brown Brown Brown Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Brown Brown Brown Brown Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Red Red Gray Gray Blue Blue Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Red Red Gray Gray Blue Blue Black Black Purple Purple Black Black\nGray Gray Purple Purple Purple Purple Black Black Black Black Blue Blue Blue Blue Black Black Purple Purple Blue Blue\nGray Gray Purple Purple Purple Purple Black Black Black Black Blue Blue Blue Blue Black Black Purple Purple Blue Blue\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Gray Gray Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Gray Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Red Red Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Red Red Blue Blue 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 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 Blue Blue Red Red Brown Brown Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Brown Brown Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Gray Gray Blue Blue Black Black Blue Blue Black Black Purple Purple\nBlack Black Black Black Black Black Purple Purple Gray Gray Blue Blue Black Black Blue Blue Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black\nPurple Purple Black Black Black Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black\nGray Gray Red Red Purple Purple Black Black Black Black Black Black Blue Blue Black Black Gray Gray Purple Purple\nGray Gray Red Red Purple Purple Black Black Black Black Black Black Blue Blue Black Black Gray Gray Purple Purple\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Gray Gray\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black 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 Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Orange Orange Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Orange Orange Black Black Gray Gray Black Black Black Black\nBlack 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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Green Green Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Green Green Black Black Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Black Black Orange Orange Green Green Black Black Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Black Black Orange Orange Green Green Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Orange Orange Black Black Black Black Green Green Orange Orange\nBlack Black Black Black Red Red Red Red Black Black Orange Orange Black Black Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Orange Orange Brown Brown\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Orange Orange Brown Brown\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Green Green Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Red Red Red Red Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Red Red Red Red Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Pink Pink Blue Blue Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Pink Pink Blue Blue Black Black Orange Orange 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 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 Orange Orange Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Red Red\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 Blue Blue Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Green Green Purple Purple Purple Purple Green Green Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Green Green Purple Purple Purple Purple Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Orange Orange Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Orange Orange Yellow Yellow Black Black Black Black\nBlack Black Black Black Pink Pink Blue Blue Black Black Blue Blue Red Red Black Black Black Black Yellow Yellow\nBlack Black Black Black Pink Pink Blue Blue Black Black Blue Blue Red Red Black Black Black Black Yellow Yellow\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 Blue Blue Blue Blue Blue Blue Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue 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 Orange Orange Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Orange Orange Red Red\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Red Red Green Green Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Green Green Black Black Red Red Purple Purple Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Green Green Black Black Red Red Purple Purple Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue 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 Black Black Black Black\nBlack Black Black Black Black Black 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 Black 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 Blue Blue Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink 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 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Brown Brown Brown Brown Black Black Brown Black Black Yellow\nYellow Black Black Brown Black Brown Black Black Brown Black Black Brown Yellow\nYellow Brown Black Black Black Black Brown Brown Black Brown Black Brown Yellow\nYellow Black Black Black Black Black Black Brown Black Brown Black Black Yellow\nYellow Black Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Yellow\nYellow Black Black Brown Brown Black Brown Black Black Black Brown Brown Yellow\nYellow Brown Brown Black Black Brown Brown Black Brown Black Black Brown Yellow\nYellow Brown Brown Brown Black Brown Brown Brown Black Brown Black Black Yellow\nYellow Black Black Brown Black Black Black Brown Brown Brown Brown Black Yellow\nYellow Brown Black Black Black Black Brown Black Brown Black Brown Black Yellow\nYellow Brown Black Brown Brown Black Brown Black Black Brown Black Black Yellow\nYellow 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\nYellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Black Black Yellow\nYellow Black Black Yellow Black Yellow Black Black Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Black Yellow Black Yellow Yellow\nYellow Black Black Black Black Black Black Yellow Black Yellow Black Black Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Black Black Yellow Yellow Black Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Yellow Yellow Black Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Black Yellow\nYellow Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Black Yellow\nYellow Yellow Black Black Black Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Black Yellow Yellow Black Yellow Black Black Yellow Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Green Green Black Black Black Black Black Black Black Orange\nOrange Green Black Black Black Black Black Black Black Green Green Orange\nOrange Black Green Black Black Black Green Black Green Green Green Orange\nOrange Black Black Green Green Green Green Black Green Black Green Orange\nOrange Black Green Green Green Black Green Green Green Black Black Orange\nOrange Black Black Black Green Green Green Black Black Black Black Orange\nOrange Black Green Black Green Black Black Green Black Black Green Orange\nOrange Green Black Black Green Green Black Green Green Black Black Orange\nOrange Green Black Black Black Black Black Black Green Green Black Orange\nOrange Black Green Black Green Green Green Black Black Black Green 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 Black Orange Orange Black Black Black Black Black Black Black Orange\nOrange Orange Black Black Black Black Black Black Black Orange Orange Orange\nOrange Black Orange Black Black Black Orange Black Orange Orange Orange Orange\nOrange Black Black Orange Orange Orange Orange Black Orange Black Orange Orange\nOrange Black Orange Orange Orange Black Orange Orange Orange Black Black Orange\nOrange Black Black Black Orange Orange Orange Black Black Black Black Orange\nOrange Black Orange Black Orange Black Black Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Orange Orange Black Black Orange\nOrange Orange Black Black Black Black Black Black Orange Orange Black Orange\nOrange Black Orange Black Orange Orange Orange Black Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Gray Black Gray Black Black Pink\nPink Gray Gray Black Gray Black Gray Black Black Gray Gray Black Black Pink\nPink Gray Gray Black Gray Gray Gray Gray Black Black Gray Black Gray Pink\nPink Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Pink\nPink Black Black Gray Gray Gray Black Black Black Black Black Black Gray Pink\nPink Gray Black Black Black Black Black Gray Gray Gray Black Gray Black Pink\nPink Gray Gray Black Black Black Gray Black Black Gray Gray Black Gray Pink\nPink Gray Black Black Black Gray Black Black Black Black Black Black Black Pink\nPink Black Black Gray Black Black Black Gray Black Black Gray Gray Gray Pink\nPink Black Black Black Black Black Black Gray Black Black Black Black Gray Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Pink Black Pink Black Black Pink\nPink Pink Pink Black Pink Black Pink Black Black Pink Pink Black Black Pink\nPink Pink Pink Black Pink Pink Pink Pink Black Black Pink Black Pink Pink\nPink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Pink Pink Pink Black Pink Black Pink\nPink Pink Pink Black Black Black Pink Black Black Pink Pink Black Pink Pink\nPink Pink Black Black Black Pink Black Black Black Black Black Black Black Pink\nPink Black Black Pink Black Black Black Pink Black Black Pink Pink Pink Pink\nPink Black Black Black Black Black Black Pink Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Red Red Red Red Black Black Red Red Red Black Red Brown\nBrown Black Red Black Black Black Red Red Red Red Red Red Red Brown\nBrown Red Black Red Red Red Black Red Black Black Red Red Red Brown\nBrown Red Black Red Red Black Black Black Black Red Black Black Red Brown\nBrown Black Red Red Black Black Red Red Black Black Black Red Red Brown\nBrown Red Black Red Black Black Red Red Red Black Red Red Black Brown\nBrown Red Red Red Red Red Black Black Red Red Red Red Red Brown\nBrown Black Black Red Red Red Red Red Red Red Black Black Black Brown\nBrown Black Black Red Black Black Red Black Black Black Red Black Red Brown\nBrown Red Red Black Black Red Red Black Black Red Red Red Black Brown\nBrown Red Black Red Black Black Black Red Red Black Black Black Black Brown\nBrown Red Red Red Black Black Black Red Black Red Red Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Brown Brown Brown Brown Black Black Brown Brown Brown Black Brown Brown\nBrown Black Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Black Brown Brown Brown Black Brown Black Black Brown Brown Brown Brown\nBrown Brown Black Brown Brown Black Black Black Black Brown Black Black Brown Brown\nBrown Black Brown Brown Black Black Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Black Brown Black Black Brown Brown Brown Black Brown Brown Black Brown\nBrown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown\nBrown Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown\nBrown Black Black Brown Black Black Brown Black Black Black Brown Black Brown Brown\nBrown Brown Brown Black Black Brown Brown Black Black Brown Brown Brown Black Brown\nBrown Brown Black Brown Black Black Black Brown Brown Black Black Black Black Brown\nBrown Brown Brown Brown Black Black Black Brown Black Brown Brown Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Purple Purple Purple Purple Purple Purple Black Black Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Black Black Purple Purple Purple Purple Purple Purple Black Black Black Yellow\nYellow 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\nYellow Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Orange Orange Orange Orange Orange Orange Black Black Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Black Black Orange Orange Orange Orange Orange Orange Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Purple Purple Purple Purple Black Black Black Black Yellow\nYellow Black Black Purple Purple Purple Purple Black Black Black Black Yellow\nYellow Black Black Purple Purple Purple Purple Black Black Black Black Yellow\nYellow Black Black Purple Purple Purple Purple Black Black Black Black Yellow\nYellow Black Black Purple Purple Purple Purple Black Black Black Black Yellow\nYellow Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Orange Orange Orange Orange Black Black Black Black Yellow\nYellow Black Black Orange Orange Orange Orange Black Black Black Black Yellow\nYellow Black Black Orange Orange Orange Orange Black Black Black Black Yellow\nYellow Black Black Orange Orange Orange Orange Black Black Black Black Yellow\nYellow Black Black Orange Orange Orange Orange Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Yellow\nYellow Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Yellow\nYellow Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Yellow\nYellow Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Yellow\nYellow Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow 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\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Yellow\nYellow Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Yellow\nYellow Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Yellow\nYellow Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Yellow\nYellow Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black\nBlack Pink Black Black Black Black Black Pink\nPink Pink Black Pink Black Pink Black Pink\nBlack Pink Black Pink Black Black Black Black\nPink Black Pink Black Black Black Black Black\nBlack Pink Black Pink Black Pink Pink Black\nBlack Pink Pink Black Black Pink Black Pink\nBlack Pink Black Pink Pink Pink Pink Black\n\nOutput:\nBlack Pink Pink Black Black Black Black Black\nBlack Pink Black Black Black Black Black Pink\nPink Pink Black Pink Black Pink Black Red\nBlack Pink Black Pink Black Black Black Black\nPink Black Pink Black Black Black Black Black\nBlack Pink Black Pink Black Pink Pink Black\nBlack Pink Pink Black Black Pink Black Pink\nBlack Pink Black Pink Pink Pink Pink Black\n\n\nExample 2\nInput:\nBlack Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Yellow\nYellow Yellow Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Black Black Yellow\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Black Black\nBlack Yellow Black Black Yellow Yellow Yellow\n\nOutput:\nBlack Red Red Yellow Black Black Black\nBlack Red Red Yellow Black Black Yellow\nYellow Yellow Red Red Red Yellow Black\nBlack Red Red Yellow Black Black Yellow\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Black Black\nBlack Yellow Black Black Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Brown Brown Black Black Black Black Brown\nBlack Black Black Black Black Brown Black Black Brown\nBlack Black Brown Black Black Black Brown Brown Brown\nBlack Black Brown Black Brown Brown Black Black Brown\nBrown Brown Black Brown Black Brown Brown Black Brown\nBrown Brown Brown Brown Brown Black Brown Black Black\nBlack Brown Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Brown Black Black Black Black Red\nBlack Black Black Black Black Brown Black Black Red\nBlack Black Brown Black Black Black Red Red Red\nBlack Black Brown Black Brown Brown Black Black Red\nBrown Brown Black Brown Black Brown Brown Black Red\nBrown Brown Brown Brown Brown Black Brown Black Black\nBlack Brown Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Pink Pink Pink Black Pink Black\nBlack Pink Black Pink Black Pink Black Black Black\nBlack Pink Pink Pink Black Black Pink Pink Black\nBlack Black Pink Black Black Black Black Black Pink\nPink Black Pink Pink Pink Black Pink Black Black\nPink Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Pink Black Black Pink\nPink Pink Pink Black Black Black Pink Black Black\nPink Black Pink Black Black Pink 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 Red Pink Pink Pink Black Pink Black\nRed Pink Red Pink Black Pink Black Black Black\nRed Pink Pink Pink Black Black Pink Pink Black\nBlack Black Pink Black Black Black Black Black Pink\nRed Red Pink Pink Pink Black Pink Black Black\nRed Red Black Pink Pink Black Black Black Black\nRed Black Pink Pink Black Pink Black Black Pink\nPink Pink Pink Black Black Black Pink Black Black\nPink Black Pink Black Black Pink Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Red Red Black Black Blue Blue\nBlack Black Black Black Black Blue Blue\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 Gray Gray Black Black Black Black\nBlack Gray Gray Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Yellow\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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Blue Blue 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 Gray Gray Black Black Black\nBlack Black Gray Gray Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black\nBlack Black Blue Blue 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\nGray Gray Black Black Black Black Black\nGray Gray Yellow Yellow Black Black Black\nBlack Black Yellow Yellow 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\nBlack Black Black Black Red Black Black\nBlack Black Black Black Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue 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 Black Black Black Black Black\nBlack Black Black Black Gray Gray Black\nBlack Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Yellow 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 Red Black Black Black Black Yellow\nBlack Green Black Black Black Black Black Black\nBlack Black Black Black Blue Purple Black Black\nBlack Black Black Black Black Black Black Black\nRed Pink Pink Black Black Black Black Purple\nBlack Black Black Black Black Black Brown Black\nBlack Red Pink Orange Purple Black Black Black\nBlack Black Black Orange Black Black Purple Blue\nBlue Brown Black Orange Black Black Black Black\nBlack Black Black Orange Black Blue Black Black\nBrown Purple Black Red Black Red Black Black\nPurple Orange Black Black Yellow Yellow Black Black\nBlack Black Black Black Brown Yellow Green Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Yellow Black Purple Orange Black\nBlack Black Blue Black Black Black Black Red\nBlack Black Gray Black Black Brown Black Black\nYellow Black Black Orange Black Gray Yellow Red\n\nOutput:\nYellow Yellow Red Yellow Yellow Yellow Yellow Black\nYellow Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Purple Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Pink Pink Yellow Yellow Yellow Yellow Purple\nYellow Yellow Yellow Yellow Yellow Yellow Brown Yellow\nYellow Red Pink Orange Purple Yellow Yellow Yellow\nYellow Yellow Yellow Orange Yellow Yellow Purple Yellow\nYellow Brown Yellow Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Orange Yellow Yellow Yellow Yellow\nBrown Purple Yellow Red Yellow Red Yellow Yellow\nPurple Orange Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Brown Black Red Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Purple Yellow\nYellow Yellow Yellow Black Yellow Purple Orange Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nYellow Yellow Gray Yellow Yellow Brown Yellow Yellow\nBlack Yellow Yellow Orange Yellow Gray Black Red\n\n\nExample 2\nInput:\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Black Brown 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 Gray Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow\nYellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Purple Black Black Yellow Black Black Brown\nBlack Black Green Black Black Black Black Pink Black Black Blue\nBlack Black Black Black Gray Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Orange Black Black Black Brown Gray Black Green\nBlue Orange Black Yellow Gray Black Pink Black Black Black Black\nGreen Black Black Brown Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Purple Yellow Yellow Black Yellow Yellow Brown\nYellow Yellow Red Yellow Yellow Yellow Yellow Pink Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Red Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Yellow Yellow Orange Yellow Yellow Yellow Brown Gray Yellow Red\nYellow Orange Yellow Black Gray Yellow Pink Yellow Yellow Yellow Yellow\nRed Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Green Brown Pink Black\nYellow Black Pink Green Black Gray Black Black Black\nBlack Pink Black Black Black Black Yellow Purple Black\nBlue Green Blue Black Black Black Black Black Orange\nGray Orange Gray Gray Pink Black Black Black Black\nBrown Brown Black Black Green Orange Red Yellow Yellow\nOrange Black Black Blue Black Brown Orange Yellow Orange\nBrown Black Purple Black Black Blue Black Black Green\nBlack Black Purple Black Black Gray Green Orange 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```\nYellow Yellow Yellow Yellow Yellow Red Brown Pink Yellow\nBlack Yellow Pink Red Yellow Gray Yellow Yellow Yellow\nYellow Pink Yellow Yellow Yellow Yellow Black Purple Yellow\nYellow Red Yellow Yellow Yellow Yellow Yellow Yellow Orange\nGray Orange Gray Gray Pink Yellow Yellow Yellow Yellow\nBrown Brown Yellow Yellow Red Orange Red Black Black\nOrange Yellow Yellow Yellow Yellow Brown Orange Black Orange\nBrown Yellow Purple Yellow Yellow Yellow Yellow Yellow Red\nYellow Yellow Purple Yellow Yellow Gray Red Orange 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:\nPurple Red Purple Black Blue Purple Orange Yellow Orange Black Black Black Orange\nBlack Black Purple Black Brown Black Black Red Green Black Purple Green Black\nBlack Black Red Black Black Purple Black Red Brown Black Black Black Black\nBlack Pink Black Black Black Black Purple Black Black Black Purple Black Brown\nBlack Black Black Brown Gray Black Black Blue Black Black Red Black Black\nBlack Black Black Black Yellow Black Black Blue Red Black Black Black Pink\nBlack Green Purple Black Yellow Orange Black Pink Gray Black Purple Black Orange\nBlack Black Black Black Black Black Black Black Black Brown Yellow Purple Orange\nBlack Black Black Black Black Black Black Black Black Brown Black Black Gray\nBlack Yellow Green Black Black Orange Pink Purple Black Black Blue Black Purple\nBlack Gray Black Black Gray Black Black Black Red Yellow Yellow Purple Black\nBlack Black Black Black Black Black Green Blue Black Gray Blue Orange Orange\nBlack Brown Black Green Black Black Yellow Blue Black Black Black Black Black\nBlack Black Black Orange Black Black Yellow Green Blue Black Purple Black Yellow\nGray Black Black Gray Red Blue Black Black Blue Pink Purple Black Black\nBrown Yellow Gray Black Yellow Black Pink Black Purple Black Purple Black Black\nOrange Black Purple Black Black Black Black Pink Brown Yellow Black Black Black\n\nOutput:\nOrange Red Orange Black Blue Orange Orange Yellow Orange Black Black Black Orange\nBlack Black Orange Black Brown Black Black Red Green Black Orange Green Black\nBlack Black Red Black Black Orange Black Red Brown Black Black Black Black\nBlack Pink Black Black Black Black Orange Black Black Black Orange Black Brown\nBlack Black Black Brown Gray Black Black Blue Black Black Red Black Black\nBlack Black Black Black Yellow Black Black Blue Red Black Black Black Pink\nBlack Green Orange Black Yellow Orange Black Pink Gray Black Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Brown Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Brown Black Black Gray\nBlack Yellow Green Black Black Orange Pink Orange Black Black Blue Black Orange\nBlack Gray Black Black Gray Black Black Black Red Yellow Yellow Orange Black\nBlack Black Black Black Black Black Green Blue Black Gray Blue Orange Orange\nBlack Brown Black Green Black Black Yellow Blue Black Black Black Black Black\nBlack Black Black Orange Black Black Yellow Green Blue Black Orange Black Yellow\nGray Black Black Gray Red Blue Black Black Blue Pink Orange Black Black\nBrown Yellow Gray Black Yellow Black Pink Black Orange Black Orange Black Black\nOrange Black Orange Black Black Black Black Pink Brown Yellow Black Black Black\n\n\nExample 2\nInput:\nPink Black Pink Black Blue Orange Orange Black Black Black Gray Green\nBlue Brown Black Purple Orange Black Pink Purple Green Black Black Gray\nBlack Yellow Red Black Black Black Black Orange Green Purple Black Black\nBlack Gray Black Black Black Orange Black Black Gray Black Black Black\nYellow Black Black Pink Black Black Purple Green Black Black Black Orange\nBlack Pink Blue Gray Black Black Blue Orange Green Green Black Black\nBrown Black Black Black Pink Black Black Blue Black Pink Gray Black\nBlack Black Pink Pink Black Black Black Black Black Purple Black Black\nBlack Black Black Black Brown Black Black Pink Purple Gray Yellow Green\nBlack Black Yellow Purple Green Black Black Black Black Black Red Black\nGray Orange Orange Pink Black Black Red Pink Purple Black Yellow Black\nRed Black Black Yellow Black Green Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Brown Black Black Red Black\nBlack Black Black Black Pink Black Yellow Black Black Black Brown Black\nBlack Black Black Orange Black Black Yellow Green Black Black Black Gray\n\nOutput:\nOrange Black Orange Black Blue Orange Orange Black Black Black Gray Green\nBlue Brown Black Purple Orange Black Orange Purple Green Black Black Gray\nBlack Yellow Red Black Black Black Black Orange Green Purple Black Black\nBlack Gray Black Black Black Orange Black Black Gray Black Black Black\nYellow Black Black Orange Black Black Purple Green Black Black Black Orange\nBlack Orange Blue Gray Black Black Blue Orange Green Green Black Black\nBrown Black Black Black Orange Black Black Blue Black Orange Gray Black\nBlack Black Orange Orange Black Black Black Black Black Purple Black Black\nBlack Black Black Black Brown Black Black Orange Purple Gray Yellow Green\nBlack Black Yellow Purple Green Black Black Black Black Black Red Black\nGray Orange Orange Orange Black Black Red Orange Purple Black Yellow Black\nRed Black Black Yellow Black Green Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Brown Black Black Red Black\nBlack Black Black Black Orange Black Yellow Black Black Black Brown Black\nBlack Black Black Orange Black Black Yellow Green Black Black Black Gray\n\n\nExample 3\nInput:\nBrown Black Green Black Purple Black Green Yellow Gray Red Black Blue\nBlack Black Red Black Brown Black Black Pink Black Black Orange Black\nBlue Black Black Pink Black Black Orange Green Black Black Gray Black\nBlack Brown Black Purple Orange Black Black Green Pink Blue Black Green\nBlack Gray Purple Black Black Black Orange Blue Black Black Black Red\nBlack Black Black Black Blue Black Black Black Red Purple Green Black\nPurple Blue Gray Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Yellow Brown\nBlack Black Black Red Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Pink Blue Orange Black Black Black Black Black\nBlack Black Red Black Black Green Black Black Blue Black Black Black\nBlack Black Purple Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Green Red Black Yellow Black Yellow\nBlack Black Yellow Black Green Black Black Orange Black Pink Black Black\nBlack Black Red Blue Black Black Yellow Black Black Black Brown Black\nBlack Black Brown Brown Gray Orange Blue Black Black Black Blue Black\n\nOutput:\nBrown Black Green Black Purple Black Green Yellow Gray Red Black Orange\nBlack Black Red Black Brown Black Black Pink Black Black Orange Black\nOrange Black Black Pink Black Black Orange Green Black Black Gray Black\nBlack Brown Black Purple Orange Black Black Green Pink Orange Black Green\nBlack Gray Purple Black Black Black Orange Orange Black Black Black Red\nBlack Black Black Black Orange Black Black Black Red Purple Green Black\nPurple Orange Gray Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Yellow Brown\nBlack Black Black Red Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Orange Black Black Black Black Black\nBlack Black Red Black Black Green Black Black Orange Black Black Black\nBlack Black Purple Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Green Red Black Yellow Black Yellow\nBlack Black Yellow Black Green Black Black Orange Black Pink Black Black\nBlack Black Red Orange Black Black Yellow Black Black Black Brown Black\nBlack Black Brown Brown Gray Orange Orange Black Black Black Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Black Black Black Black Green Black Black Black Black Black\nYellow Black Yellow Black Purple Black Brown Gray Black Blue Black Black Black Black\nRed Black Black Black Black Black Black Gray Black Black Black Black Pink Yellow\nBlack Black Black Black Black Black Brown Black Black Black Black Black Gray Orange\nBlack Black Black Brown Black Pink Purple Black Black Gray Black Black Orange Black\nBlue Green Green Black Green Purple Black Gray Black Black Red Black Black Gray\nPurple Black Black Black Green Black Yellow Red Black Pink Black Black Black Blue\nBlack Orange Black Black Orange Black Black Brown Black Black Black Black Yellow Black\nBlack Black Green Black Black Yellow Yellow Black Black Brown Black Black Black Green\nBlack Black Black Black Blue Gray Brown Black Green Orange Yellow Black Black Black\nBlack Pink Gray Black Black Black Gray Black Orange Blue Black Black Black Pink\nBlack Pink Pink Black Brown Black Purple Black Gray Orange Blue Black Purple Brown\nBlack Black Black Black Purple Black Pink Pink Black Yellow Blue Black Black Black\nBlack Black Black Black Black Black Yellow Black Red Black Black Black Red 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 Orange Black Black Black Black Green Black Black Black Black Black\nOrange Black Orange Black Purple Black Brown Gray Black Blue Black Black Black Black\nRed Black Black Black Black Black Black Gray Black Black Black Black Pink Orange\nBlack Black Black Black Black Black Brown Black Black Black Black Black Gray Orange\nBlack Black Black Brown Black Pink Purple Black Black Gray Black Black Orange Black\nBlue Green Green Black Green Purple Black Gray Black Black Red Black Black Gray\nPurple Black Black Black Green Black Orange Red Black Pink Black Black Black Blue\nBlack Orange Black Black Orange Black Black Brown Black Black Black Black Orange Black\nBlack Black Green Black Black Orange Orange Black Black Brown Black Black Black Green\nBlack Black Black Black Blue Gray Brown Black Green Orange Orange Black Black Black\nBlack Pink Gray Black Black Black Gray Black Orange Blue Black Black Black Pink\nBlack Pink Pink Black Brown Black Purple Black Gray Orange Blue Black Purple Brown\nBlack Black Black Black Purple Black Pink Pink Black Orange Blue Black Black Black\nBlack Black Black Black Black Black Orange Black Red Black Black Black Red 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 Black Black Pink Black Black Orange Black Black Black Pink Black\nPink Orange Black Black Black Pink Red Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Purple Pink Black Black Black\nPurple Black Orange Orange Purple Black Black Gray Black Black Orange Black Black\nBlack Orange Black Yellow Black Black Black Black Black Black Yellow Black Yellow\nOrange Blue Black Black Black Black Purple Black Black Orange Red Black Black\nGreen Black Purple Orange Black Black Orange Yellow Blue Black Pink Black Black\nBlack Yellow Black Black Black Black Black Black Black Brown Black Black Orange\nBlack Black Yellow Black Black Black Blue Black Black Black Black Black Red\nBlack 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\nBlack Black Brown Black Black Brown Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Yellow Brown Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Blue Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Pink Black Black Orange Black Black Black Pink Black\nPink Orange Black Black Black Pink Red Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Purple Pink Black Black Black\nPurple Black Orange Orange Purple Black Black Gray Black Black Orange Black Black\nBlack Orange Black Yellow Black Black Black Black Black Black Yellow Black Yellow\nOrange Blue Black Black Black Black Purple Black Black Orange Red Black Black\nGreen Black Purple Orange Black Black Orange Yellow Blue Black Pink Black Black\nBlack Yellow Black Black Black Black Black Black Black Brown Black Black Orange\nBlack Black Yellow Black Black Black Blue Black Black Black Black Black Red\nBlack Yellow Black Black Black Black Black Black Black Brown Black Black Orange\nGreen Black Purple Orange Black Black Orange Yellow Blue Black Pink Black Black\nOrange Blue Brown Black Black Brown Purple Black Black Orange Red Black Black\nBlack Orange Black Yellow Black Black Black Black Black Black Yellow Black Yellow\nPurple Black Orange Orange Purple Black Black Gray Yellow Brown Orange Black Black\nBlack Black Black Black Black Black Black Black Purple Pink Black Black Black\nPink Orange Black Black Black Pink Red Black Orange Black Black Red Black\nYellow Black Black Black Pink Black Black Orange Black Black Black Pink Black\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Black Black Red Black Green Black Black\nBlack Blue Black Black Purple Yellow Black Black Blue Black Black Purple\nBlack Black Pink Black Black Black Purple Green Black Black Blue Black\nBlack Brown Black Purple Gray Black Yellow Pink Black Black Black Black\nGray Brown Yellow Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Purple\nBlack Purple Black Black Black Brown Black Black Pink Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Yellow Black\nBlack Black Orange Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow 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 Blue Black Black Red Black Green Black Black\nBlack Blue Black Black Purple Yellow Black Black Blue Black Black Purple\nBlack Black Pink Black Black Black Purple Green Black Black Blue Black\nBlack Brown Black Purple Gray Black Yellow Pink Black Black Black Black\nGray Brown Yellow Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Purple\nBlack Purple Black Black Black Brown Black Black Pink Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlue Purple Black Black Black Brown Black Brown Pink Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Purple\nGray Brown Yellow Black Pink Black Black Black Black Black Yellow Black\nBlack Brown Orange Purple Gray Blue Yellow Pink Black Black Black Black\nBlack Black Pink Black Black Black Purple Green Black Yellow Blue Black\nBlack Blue Black Black Purple Yellow Black Black Blue Black Black Purple\nBlack Black Black Black Blue Black Black Red Black Green Black Black\n\n\nExample 3\nInput:\nBlack Yellow Black Brown Black Black Black Black Black Black Black Black\nRed Black Orange Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Gray Black Black\nBlue Black Black Black Black Black Black Black Brown Black Black Black\nPink Black Black Black Black Black Gray Green Yellow Brown Pink Black\nGray Brown Black Black Black Black Black Black Green Yellow Black Black\nBlack Black Black Black Black Purple Black Black Yellow Gray Pink Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Yellow Black\n\nOutput:\nBlack Yellow Black Brown Black Black Black Black Black Black Black Black\nRed Black Orange Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Gray Black Black\nBlue Black Black Black Black Black Black Black Brown Black Black Black\nPink Black Black Black Black Black Gray Green Yellow Brown Pink Black\nGray Brown Black Black Black Black Black Black Green Yellow Black Black\nBlack Black Black Black Black Purple Black Black Yellow Gray Pink Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Gray Black Black\nBlack Black Gray Black Black Purple Black Black Yellow Gray Pink Black\nGray Brown Black Black Black Black Black Black Green Yellow Black Black\nPink Black Black Black Black Black Gray Green Yellow Brown Pink Black\nBlue Black Black Black Black Black Black Black Brown Black Black Pink\nBlack Black Black Black Orange Black Black Black Black Gray Green Black\nRed Black Orange Black Black Black Gray Black Black Black Black Black\nBlack Yellow Black Brown Black Black Black Black Black Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Brown Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Blue Black Brown Black Red Blue Black Pink\nBlack Orange Black Black Purple Black Black Black Black Black Pink Gray Red Black\nBlack Black Blue Black Black Blue Black Black Orange Black Black Black Black Black\nBlack Purple Black Green Black Black Black Red Black Black Black Black Black Black\nGray Black Black Black Black Yellow Black Black Yellow Black Black Black Green Green\nGray Black Black Green Black Black Orange Black Gray Black Pink Black Gray Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack 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\nBlack 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\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 Black Black Black Black Brown Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Blue Black Brown Black Red Blue Black Pink\nBlack Orange Black Black Purple Black Black Black Black Black Pink Gray Red Black\nBlack Black Blue Black Black Blue Black Black Orange Black Black Black Black Black\nBlack Purple Black Green Black Black Black Red Black Black Black Black Black Black\nGray Black Black Black Black Yellow Black Black Yellow Black Black Black Green Green\nGray Black Black Green Black Black Orange Black Gray Black Pink Black Gray Black\nGray Yellow Black Green Black Black Orange Black Gray Black Pink Black Gray Black\nGray Black Black Black Black Yellow Black Black Yellow Black Black Pink Green Green\nBlack Purple Black Green Black Black Black Red Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Pink Orange Black Black Black Black Black\nBlack Orange Black Black Purple Black Black Black Black Black Pink Gray Red Black\nBlack Black Black Black Black Black Blue Black Brown Black Red Blue Black Pink\nGray Black Black Black Black Brown Black Black Black Black Black Purple 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 Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Brown Brown Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Brown Brown Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Red Red Red Red Black Black Black Black Black Black Black\nOrange Orange Orange Orange Red Red Red Red Black Black Black Black Black Black Black\nOrange Orange Orange Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red\nBlack 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 Red Red\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\nRed Red Red Red 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\nRed Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Black Gray Gray Gray Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Gray Gray Gray Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Gray Gray Brown Brown Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Brown Brown Black Black Black Black Black Black\nBrown Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Black Black Black Black Black\nBlack Black Red Red Purple Black Purple Black Red\nBlack Black Black Purple Red Purple Black Black Black\nRed Purple Purple Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Red Purple Black\nRed Black Black Purple Red Black Black Black Black\nRed Black Purple Black Black Purple Red Purple Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Purple Black Black Black Black Black\nBlack Black Pink Pink Purple Black Purple Black Pink\nBlack Black Black Purple Pink Purple Black Black Black\nPink Purple Purple Black Black Black Black Black Black\nPink Purple Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Pink Purple Black\nPink Black Black Purple Pink Black Black Black Black\nPink Black Purple Black Black Purple Pink Purple Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGray Black Black Orange Black Orange\nGreen Orange Black Black Black Black\nBlack Red Black Orange Black Black\nBlack Black Red Black Black Black\nYellow Red Black Orange Black Black\nBlack Black Black Black Black Green\nBlack Black Black Black Orange Red\nBlack Black Black Black Red Black\n\nOutput:\nPink Black Black Purple Black Purple\nPurple Purple Black Black Black Black\nBlack Pink Black Purple Black Black\nBlack Black Pink Black Black Black\nBlue Pink Black Purple Black Black\nBlack Black Black Black Black Purple\nBlack Black Black Black Purple Pink\nBlack Black Black Black Pink Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black\nBlack Red Red Black Red Black Gray\nBlack Black Black Black Black Black Purple\nBlack Red Purple Black Black Red Black\nBlack Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black\nBlack Pink Pink Black Pink Black Pink\nBlack Black Black Black Black Black Purple\nBlack Pink Purple Black Black Pink Black\nBlack Purple 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 Red Red Black Black Black Black Red Red Black\nBlack Red Black Red Black Black Red Red Red Black\nBlack Red Black Red Black Black Red Black Black Red\nRed Black Red Red Black Black Black Black Red Red\nBlack Red Red Black Red Red Black Black Red Red\nBlack Red Red Black Red Black Black Black Red Black\nBlack Red Red Black Red Black Red Red Black Red\nRed Red Black Black Red Black Black Black Red Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Pink Black Black Black Black Pink Pink Black\nBlack Pink Black Pink Black Black Pink Pink Pink Black\nBlack Pink Black Pink Black Black Pink Black Black Pink\nPink Black Pink Pink Black Black Black Black Pink Pink\nBlack Pink Pink Black Pink Pink Black Black Pink Pink\nBlack Pink Pink Black Pink Black Black Black Pink Black\nBlack Pink Pink Black Pink Black Pink Pink Black Pink\nPink Pink Black Black Pink Black Black Black Pink Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black\nBlack Blue Black Black 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 Black Black Black Black Black Black Black Black Red\nBlack Black Brown Black Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Gray Black Red Black Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlue Blue Black Blue Black Black Red Black Black Black\nBlack Blue Blue Black Blue Black Black Red Black Black\nRed Black Gray Blue Black Blue Black Black Red Black\nBlack Gray Black Blue Blue Gray Blue Black Black Red\nGray Black Red Black Gray Black Black Blue Black Black\nBlack Red Black Gray Black Black Black Black Black Black\nBlack Black Gray Green Red Black Black Black Black Black\nBlack Gray Black Red Black Red Black Black Black Black\n\n\nExample 2\nInput:\nRed Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Gray Blue Blue Black Black Black\nBlack Black Black Black Black Gray Blue Black Black Black\nBlack Black Black Black Blue Blue Gray Blue Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Gray Black Black\nBlack Purple Blue Black Black Black Yellow Blue Gray Black\nBlack Blue Purple Black Black Black Yellow Gray Blue Gray\nBlack Black Black Purple Black Black Gray Black Black Blue\nBlack Black Purple Black Purple Gray Black Black Black Black\nBlack Purple Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nPink 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 Yellow Purple Black Black Black\nPurple Black Black Black Red Black Black Brown Black Pink\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Brown\nRed Black Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Brown Brown Black Black Black Black Black Black Black\nBlack Pink Brown Brown Black Purple Black Black Black Black\nPink Black Black Brown Purple Black Black Black Black Black\nBlack Black Black Purple Brown Brown Black Black Purple Black\nBlack Black Purple Black Black Brown Brown Yellow Black Black\nBlack Purple Black Black Red Yellow Yellow Brown Black Black\nPurple Black Black Red Yellow Yellow Black Brown Brown Pink\nBlack Black Red Yellow Yellow Black Black Black Brown Red\nBlack Red Yellow Yellow Black Black Black Pink Black Brown\nRed Yellow Yellow Black Black Black Pink Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black\nBlack Blue Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Black Black Black Black Purple Black Black Black\nBlack Black Yellow Black Black Purple Black Black Black Black\nBlack Black Black Yellow Purple Black Black Black Black Black\nPurple Black Black Purple Yellow Black Black Black Black Black\nBlack Yellow Purple Black Black Yellow Black Black Black Black\nBlack Purple Yellow Black Red Red Yellow Black Black Black\nPurple Purple Black Yellow Red Black Black Yellow Black Black\nBlack Black Red Red Yellow Black Black Black Yellow Black\nBlack Red Red Purple Black Yellow Black Black Black Yellow\nBlack Black Black Black Purple Black Yellow Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\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 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 Green Black\nBlack Black Black Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Black Black Black Green Green Green Green Black\nBlack 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\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\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\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 Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\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 Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown 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\nBlack 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black 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:\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink 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 Green Green Green Black Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Green Green Green 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:\nGreen Green Green Black Black Black Green Green Green\nGreen Black Black Black Black Black Green Black Black\nGreen Green Green Black Black Black Green Green Green\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\nGreen Green Green Black Black Black Green Green Green\nGreen Black Black Black Black Black Green Black Black\nGreen Green Green Black Black Black Green Green Green\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 Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Black Black Black Black Black Green Black\nGreen Green Green Black Black Black Green Green Green\nBlack Green Black Black Black Black Black Green 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 Black Black Black Black\nBlack Green Black Black Black Black Black Green Black\nGreen Green Green Black Black Black Green Green Green\nBlack Green Black Black Black Black Black Green Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Black Blue Blue Black Black Black Blue Blue Black Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue\nBlue Blue Black Blue Black Black Black Black Blue Blue Black Blue Black\nBlue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Blue Blue Black Black Black Blue Blue Black Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue\nBlue Blue Black Blue Black Black Black Black Blue Blue Black Blue Black\nBlue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Blue Black Black Black Black\nBlack Black Black Black Gray Blue Black Black Black Black Black\nBlack Black Black Black Gray Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black Black Black Gray Blue Blue\nGray Blue Black Black Black Black Black Black Gray Blue Black\nGray Blue Blue Black Black Black Black Black Gray Blue Blue\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\nGray Blue Blue Black Black Black Black Black Gray Blue Blue\nGray Blue Black Black Black Black Black Black Gray Blue Black\nGray Blue Blue Black Black Black Black Black Gray 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:\nGray Blue Green Red Brown Pink\n\nOutput:\nGray Blue Green Red Brown Pink\nGray Blue Green Red Brown Pink\nGray Blue Green Red Brown Pink\nGray Blue Green Red Brown Pink\nGray Blue Green Red Brown Pink\nGray Blue Green Red Brown Pink\n\n\nExample 2\nInput:\nGray Red Purple Brown Blue Yellow Green\n\nOutput:\nGray Red Purple Brown Blue Yellow Green\nGray Red Purple Brown Blue Yellow Green\nGray Red Purple Brown Blue Yellow Green\nGray Red Purple Brown Blue Yellow Green\nGray Red Purple Brown Blue Yellow Green\nGray Red Purple Brown Blue Yellow Green\nGray Red Purple Brown Blue Yellow Green\n\n\nExample 3\nInput:\nBrown Red Green Purple Pink Yellow Blue\n\nOutput:\nBrown Red Green Purple Pink Yellow Blue\nBrown Red Green Purple Pink Yellow Blue\nBrown Red Green Purple Pink Yellow Blue\nBrown Red Green Purple Pink Yellow Blue\nBrown Red Green Purple Pink Yellow Blue\nBrown Red Green Purple Pink Yellow Blue\nBrown Red Green Purple Pink Yellow Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Orange Green Blue 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```\nYellow Orange Green Blue Red\nYellow Orange Green Blue Red\nYellow Orange Green Blue Red\nYellow Orange Green Blue Red\nYellow Orange Green 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\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 Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow 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 Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green 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 Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Black Black Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Black Black Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Black Black Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green 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 Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Green Green Green Green Black Black Purple Purple Black Black\nBlack Black Black Black Green Green Green Green Black Black Purple Purple Black Black\nBlack Black Black Black Green Green Green Green Black Black Purple Purple Black Black\nBlack Black Black Black Green Green Green Green Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Pink Pink Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Pink Pink Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Pink Pink Black Black\nBlack Black Black Black Gray Gray Gray Gray Black 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\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Red Red Black Black Red Black Black\nBlack Black Black Red Black Black Black Red Black Black\nBlack Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Red Red Black Red 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 Green Black Black Green Black Black\nBlack Black Black Green Green Green Green Green Green Black\nBlack Black Black Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Green Black Green Green Black\nBlack Black Black Black Black 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\nBlack Black Red Black Black Black Black\nBlack Red Red Red Black Black Black\nBlack Red Red Red Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Black Red Red Black Black\nBlack Black Black Red Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Green\nBlack Black Black Black Black Green Green\nBlack Black Green Green Green Green Green\nBlack Green Green Green Green Black Black\nBlack Black Green Green Black Black Black\nBlack Black Black Red Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Red Red Red Black\nBlack Black Black Red Red Red Black\nBlack Black Black Red Red Black Black\nBlack Black Black Black Red 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 Green Green Black Black\nBlack Black Black Green Green Green Green\nBlack Black Black Green Green Green Black\nBlack Black Black Black Red 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 Red Black Black Black Red Red Black\nBlack Black Red Red 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\nBlack Black Black Red Red 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 Green Black Black Green Red Black\nBlack Black Black Green Red Black Green Black Black\nBlack Black Green Green 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 Green Red Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Yellow Black Black\nBlack Black Black Yellow Black Yellow\nBlack Black Black Yellow Black Yellow\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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Black\nBlack Yellow Yellow Black Black\nBlack Yellow Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Black Brown Black Brown\nBlack Black Black Black Black Brown\nBlack Brown Brown Black Black Black\nBlack Brown Black Black Black Brown\nBrown Black Brown Brown Brown Black\nBlack Brown Black Black Brown Brown\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 Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Pink Pink Black\nBlack Pink Black Black\nBlack Black 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```\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 Pink Pink Black Black Black\nBlack Black Black Pink 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```",
"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 Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack 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 Purple Purple Purple Purple\nBlack 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 Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack 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 Purple Purple Purple Purple\nBlack 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Green Green Green Green Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Purple Purple Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Purple Purple Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Purple Purple 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\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray 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\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 Gray Gray Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Brown Brown Brown Brown Brown Brown 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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray 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\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 Gray Gray Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown 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\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 Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack 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\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\nGreen Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Blue Blue Black Black\nBlack Red Red Black Black Black Black Black 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 Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black 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 Blue Blue Black\nBlack Black Black Black Yellow Yellow Black Black Black Blue Blue Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red 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 Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Orange Orange 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 Red Red Black Black Black Green Green Black Black Black\nBlack Black Black Black Red Red Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nOrange Orange Black Black Black Black Black Black Black Black Pink Pink Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue 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\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\nYellow Yellow Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Red Red Orange Orange Orange Orange Black Black Purple Purple Red Red Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Orange Orange Orange Orange Black Black Purple Purple Red Red Purple Purple Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Gray Gray Gray Gray Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Gray Gray Gray Gray Black Black Orange Orange Orange Orange Orange Orange Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nYellow Yellow Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Purple Purple Purple Purple Red Red Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Purple Purple Purple Purple Red Red Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Red Red Orange Orange Orange Orange Black Black Purple Purple Red Red Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Orange Orange Orange Orange Black Black Purple Purple Red Red Purple Purple Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Gray Gray Gray Gray Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Gray Gray Gray Gray Black Black Orange Orange Orange Orange Orange Orange Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nPurple Purple Red Red Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Red Red Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Red Red Gray Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Red Red Gray Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nPink Pink Red Red Pink Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nPink Pink Red Red Pink Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink 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 Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Red Red Pink Pink 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 Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Red Red Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Red Red Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nPink Pink Red Red Pink Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nPink Pink Red Red Pink Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink 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 Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink 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 Black Black Black Black Black Black Black Black Black\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 Red Red Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink 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 Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink 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 Black Black Black Black Black Black Black Black Black\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Red Red Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Red Red Gray Gray Black Black Black Black Black Black\nBlack Black 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 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 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 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 Black Black Black Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Red Red Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Red Red Orange Orange Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray 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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red 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 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 Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Red Red Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Red Red Gray Gray Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Red Red Gray Gray Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Red Red Gray Gray Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Red Red Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Red Red Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Red Red Gray Gray Gray Gray Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Red Red Gray Gray Gray Gray Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Gray Gray 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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Gray Gray Orange Orange Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Brown Orange Orange Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Gray Pink Pink Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black\nBlack Black Black Black Black Black 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 Gray Orange Orange Green Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Orange Orange Blue Blue Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Green Green Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Gray Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 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 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 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 Red Red Red Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black 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 Red Red Red Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black 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 Red Red Red Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Purple Purple Purple 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 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 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 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray 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 Purple Purple Purple 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 Purple Purple Purple 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 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown 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\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Gray Gray Gray Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Gray Gray Gray Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Gray Gray Gray Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Gray Gray Gray Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Gray Gray Gray Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Gray Gray Gray Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Blue Blue Blue Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Pink Pink Pink Black Brown Brown Brown Brown Black Black\nBlack Black Black Pink Pink Pink Black Brown Brown Brown Brown Black Black\nBlack Pink Pink Pink Pink Pink Black Brown Brown Brown Brown Black Black\nBlack Pink Pink Pink Pink Pink Black Brown Brown Brown Brown Black Black\nBlack Pink Pink Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Pink Pink Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Purple Purple Purple Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Pink Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black\nBlack Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Purple Purple Purple Black Pink Pink Pink Pink Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red 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 Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink 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 Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black 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 Red Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Red Red 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 Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black 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 Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink 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 Brown Brown Black\nBlack Black Gray Gray Gray Black Black Black Black Brown Brown Black\nBlack Black Gray Gray Gray Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown 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 Brown Brown Black\nBlack Black Pink Pink Pink Black Black Black Black Brown Brown Black\nBlack Black Pink Pink Pink Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown 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 Black Black 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 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\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 Orange Black Black Black Black Black Black Red Black Black Black Black Black Black Blue Black\nBlack Black Black Orange Black Black Black Black Black Red Black Black Black Black Black Blue Black Black\nBlack Black Black Black Orange Black Black Black Black Red Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Orange Black Black Black Red Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Red Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Red Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Red Blue Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Orange Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Blue Red Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Red Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Red Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Red Black Black Black Orange Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Red Black Black Black Black Orange Black Black Black\nBlack Black Black Blue Black Black Black Black Black Red Black Black Black Black Black Orange Black Black\nBlack Black Blue Black Black Black Black Black Black Red Black Black Black Black Black Black Orange Black\nBlack Blue Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Orange\nBlue Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Orange Green\nBlack Black Black Black Blue Red Orange\nBlack Black Black Blue Black Red Black\nBlack Black Blue Black Black Red Black\nBlack Blue Black Black Black Red Black\nBlue Black Black Black Black Red Black\nBlack Black Black Black Black Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow\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 Orange Black Red\nBlack Black Black Black Black Orange Red\nGreen Green Green Green Green Green Orange\nBlack Black Black Black Black Blue Red\nBlack Black Black Black Blue Black Red\nBlack Black Black Blue Black Black Red\nBlack Black Blue Black Black Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\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 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 Orange Black Black Red Black Black Blue Black\nBlack Black Orange Black Red Black Blue Black Black\nBlack Black Black Orange Red Blue Black Black Black\nGreen Green Green Green Orange Green Green Green Green\nBlack Black Black Blue Red Orange Black Black Black\nBlack Black Blue Black Red Black Orange Black Black\nBlack Blue Black Black Red Black Black Orange Black\nBlue Black Black Black Red Black Black Black Orange\nBlack Black Black Black Red Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black 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 Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green 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 Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green 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 Black Black Green Green Black Black Green Green Black Black Pink Pink\nBlack Black Black Black Green Green Black Black Green Green Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black 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 Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Green Green Green Green Orange Orange\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green 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 Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray 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 Black Black Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black 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 Black Black Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Gray Orange Orange Black Black\nBlack Black Orange Gray Purple Gray Purple Green Black Black\nBlack Black Orange Pink Pink Blue Black Orange Black Black\nBlack Black Orange Gray Purple Gray Purple Green Black Black\nBlack Black Orange Orange Orange Gray Orange Orange 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 Orange Orange Orange Gray Orange Orange Black Black\nBlack Black Orange Gray Purple Gray Purple Green Black Black\nBlack Black Purple Pink Pink Blue Black Orange Black Black\nBlack Black Purple Gray Purple Gray Purple Green Black Black\nBlack Black Purple Purple Purple Gray Orange Orange 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 Green Gray Brown Gray Green Black Black Black\nBlack Black Brown Gray Brown Gray Brown Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Yellow Yellow Purple Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Yellow Yellow 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 Green Gray Brown Gray Green Black Black Black\nBlack Black Brown Gray Brown Gray Brown Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Yellow Yellow Orange Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black 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\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 Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Pink Pink Pink Gray Gray Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink 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 Green Black Red Red Black Black\nBlack Black Black Black Green Red Red Orange Black Black\nBlack Black Black Brown Brown Red Red Yellow Black Black\nBlack Black Black Brown Brown Red Red Yellow Black Black\nBlack Black Black Black Green Red Red Orange Black Black\nBlack Black Black Black Green Black Red Red 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 Green Black Red Red Black Black\nBlack Black Black Black Green Red Red Orange Black Black\nBlack Black Black Brown Brown Red Red Yellow Black Black\nBlack Black Black Brown Brown Green Green Yellow Black Black\nBlack Black Black Black Green Green Green Orange Black Black\nBlack Black Black Black Green Black Green Green 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:\nYellow Yellow Blue Red Brown Blue Black Red Black Brown\nBlue Black Green Brown Black Yellow Brown Gray Green Yellow\nBlue Blue Yellow Black Black Brown Green Brown Red Black\nRed Gray Blue Gray Black Black Red Black Green Brown\nBlue Red Black Blue Brown Green Gray Yellow Brown Gray\nYellow Brown Yellow Blue Brown Black Yellow Gray Blue Brown\nGray Gray Gray Red Blue Black Yellow Black Green Black\nGray Gray Green Red Green Gray Green Black Green Yellow\nBlack Green Red Yellow Brown Brown Black Red Green Blue\nYellow Gray Black Blue Brown Brown Gray Green Gray Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nGray Brown Gray Purple Gray Black Red Red Red Black\nBrown Black Brown Gray Brown Brown Black Red Purple Gray\nBlue Black Blue Black Brown Red Red Brown Blue Red\nGray Purple Black Blue Red Red Black Gray Black Black\nBrown Purple Brown Purple Purple Black Blue Purple Brown Gray\nBlack Black Black Black Red Purple Purple Purple Purple Brown\nPurple Red Red Blue Purple Gray Blue Black Purple Black\nGray Brown Purple Brown Blue Blue Gray Gray Black Brown\nBlue Black Black Red Blue Brown Brown Blue Brown Purple\nBlue Blue Purple Purple Black Gray Black Gray Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nGreen Black Black Green Green Black Red Pink Brown Red\nBrown Green Brown Brown Black Pink Black Pink Purple Pink\nBlack Brown Purple Purple Black Green Red Black Black Pink\nGreen Green Brown Pink Black Green Green Brown Brown Black\nGreen Red Purple Green Purple Brown Black Purple Red Green\nGreen Red Red Pink Green Pink Black Brown Green Black\nGreen Purple Black Black Brown Black Black Black Green Purple\nGreen Pink Red Brown Red Purple Brown Black Pink Black\nBrown Red Pink Red Pink Pink Red Red Red Green\nBrown Black Red Brown Black Pink Pink Green Green Pink\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Red\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBrown Yellow Yellow Black Brown Yellow Brown Brown Green Black\nGreen Red Purple Purple Black Purple Orange Orange Red Red\nBlue Blue Yellow Black Black Yellow Orange Orange Blue Black\nPurple Green Black Black Purple Purple Purple Orange Orange Black\nRed Black Green Blue Blue Yellow Blue Green Yellow Orange\nOrange Purple Red Red Brown Green Green Red Brown Blue\nBlue Black Black Orange Purple Green Red Orange Brown Black\nGreen Red Green Orange Black Purple Orange Green Green Orange\nRed Yellow Red Yellow Yellow Black Brown Yellow Yellow Blue\nBrown Purple Blue Brown Yellow Purple Orange Black Purple Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue 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\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Black\nBlack Black Black Orange Orange Orange\nBlack Black Black Black Orange Black\nBlack Black Black 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 Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Purple\nBlack Black Purple Purple\nBlack Black Black Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Purple\nBlack Black Purple Purple\nBlack Black Black Black\nBlack Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green 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 Green Green Green\nBlack Black Black Green Black Green\nBlack Black Black Green Black Green\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:\nGray Black Black Black Black Black Red Black Black Black\nBlack Red Black Red Black Red Black Red Black Red\nRed Purple Red Red Red Purple Black Black Black Black\nBlack Red Black Black Gray Red Black Black Black Red\nBlack Black Purple Black Black Black Black Black Red Red\nPurple Black Black Black Red Black Black Black Red Black\nRed Red Black Black Black Black Black Black Black Red\nBlack Red Black Red Black Gray Black Red Black Black\nBlack Black Black Black Black Black Gray Black Red Black\nRed Black Black Gray Purple Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Red Green Green Green\nGreen Red Green Red Green Red Green Red Green Red\nRed Green Red Red Red Green Green Green Green Green\nGreen Red Green Green Green Red Green Green Green Red\nGreen Green Green Green Green Green Green Green Red Red\nGreen Green Green Green Red Green Black Green Red Green\nRed Red Green Green Green Green Green Green Green Red\nGreen Red Green Red Green Black Green Red Green Green\nGreen Green Green Green Green Black Green Green Red Green\nRed Green Black Black Black Black Black Green Green Green\n\n\nExample 2\nInput:\nGreen Green Green Green Green Black Black Green Black Black\nGreen Black Black Black Black Black Green Red Black Black\nGreen Black Black Orange Black Black Green Green Green Black\nBlack Orange Red Black Black Black Black Red Green Black\nBlack Green Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Orange Green Green Black Black\nRed Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Red Black Black Red Black Black Green Black\nRed Black Red Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Black\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Black Black Black Green Green Green Green Green\nGreen Green Green Black Green Green Green Green Green Green\nGreen Green Green Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Black Green Green Green Green Black\nBlack Green Green Green 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\n\n\nExample 3\nInput:\nPink Yellow Black Black Black Black Black Black Black Black\nPink Yellow Gray Pink Black Black Black Black Yellow Pink\nBlack Pink Black Black Pink Black Black Gray Black Black\nBlack Pink Black Black Black Black Black Blue Black Pink\nPink Black Yellow Black Yellow Pink Black Black Black Black\nPink Yellow Black Black Pink Black Pink Blue Pink Pink\nBlack Black Black Black Black Black Pink Yellow Yellow Pink\nBlack Black Black Pink Black Black Black Pink Black Black\nPink Pink Black Pink Gray Black Blue Pink Black Black\nBlack Pink Pink Black Pink Black Black Pink Blue Pink\n\nOutput:\nPink Green Green Green Green Black Black Black Green Green\nPink Green Green Pink Green Green Black Black Green Pink\nGreen Pink Green Green Pink Green Black Black Green Green\nGreen Pink Green Green Green Green Green Black Green Pink\nPink Green Green Green Green Pink Green Green Green Green\nPink Green Black Green Pink Green Pink Green Pink Pink\nGreen Green Green Green Green Green Pink Green Green Pink\nGreen Green Green Pink Green Green Green Pink Green Green\nPink Pink Green Pink Green Green Green Pink Green Green\nGreen Pink Pink Green Pink Green Green Pink Green Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Red Black Red\nRed Black Black Black Black Black Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Red\nRed Red Black Black Black Black Red Red Black Black\nRed Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Green\nRed Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Black Red Red Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Black Black Black Green Green Red Green Red\nRed Green Green Green Green Green Red Red Green Green\nGreen Green Red Red Red Red Green Green Green Red\nRed Red Green Green Green Green Red Red Green Green\nRed Green Green Black Black Green Green Green Green Red\nGreen Green Black Black Black Black Black Green Red Green\nGreen Green Black Black Black Green Green Green Red Green\nRed Green Black Black Black Green Red Green Red Green\nGreen Green Black Green Green Green Red Red Green Green\nBlack Black Black Green Red Green Red Red Red 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\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 Green Yellow Yellow Green\nBlack Black Black Black Black Black Black Black Green Yellow Yellow Green\nBlack Black Black Black Black Black Black Black Green Yellow Yellow Green\nBlack Black Black Black Black Black Black Black Green Yellow Yellow Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Red Red Blue\nBlack Black Black Black Black Black Black Black Blue Red Red Blue\nBlack Black Black Black Black Black Black Black Blue Red Red Blue\nBlack Black Black Black Black Black Black Black Blue Red Red 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 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\nBlack 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\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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\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 Green Green Black Black Black Black Black Black Black\nBlack Green Green Yellow Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Red Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Blue Green Red Brown Red Green Blue Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Blue 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 Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Blue Green Red Green Red Green Blue\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray 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 Blue Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Blue Green Red Gray Red Green\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red 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 Blue Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Blue Green Red Red Red Green Blue Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Yellow Yellow Yellow Green Green Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Brown Brown\nBlack Black Black Pink Pink Pink Brown Brown\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black\nBlue Blue Red Orange Orange Black Black Black\nBlue Blue Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Green Green\nBlack Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black\nGreen Green Red Green Green Black Black Black\nGreen Green Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Green Green Black Red Red Red Black Black Black\nBlack Green Green Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Green Black Green Green Green Black Black Black\nBlack Green Green Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Purple Purple Black Black Green Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Orange Orange Orange Orange Black\nPurple Purple Purple Purple Black Orange Orange Orange Orange Black\nBlack Black Purple Purple Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Orange Black Black Orange Black\nBlack Black Black Pink Pink Pink Pink Pink Gray Gray\nBlack Black Black Pink Pink Black Pink Pink Gray Gray\nBlack Black Black Black Black Pink Pink Pink Black Black\n\nOutput:\nBlack Green Green Black Black Green Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black\nGreen Green Green Green Black Green Green Green Green Black\nBlack Black Green Green Black Green Green Green Green Black\nBlack Black Black Black Black Green Black Black Green Black\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Black Green Green Green Green\nBlack Black Black Black Black Green Green Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Red Red\nBlack Black Black Black Black Red Red\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 Purple Purple Purple Black Purple Black\nBlack Purple Purple Purple Pink Pink Black\nBlack Purple Purple Black Pink Pink Pink\nBlack Black Black Black 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```\nBlack Black Black Black Black Green Green\nBlack Black Black Black Black Green Green\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 Green Green Green Black Purple Black\nBlack Green Green Green Green Green Black\nBlack Green Green Black Green Green Green\nBlack Black Black Black 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\nBlack Green Green Purple Yellow Gray Brown Black\nBlack Orange Green Orange Blue Purple Green Black\nBlack Purple Orange Yellow Purple Red Orange Black\nBlack Orange Gray Orange Blue Pink Gray Black\nBlack Brown Green Green Orange Orange Brown Black\nBlack Pink Brown Purple Gray Pink Orange Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Orange Blue Orange Brown Pink Black\nBlack Brown Purple Purple Brown Pink Black\nBlack Blue Purple Brown Gray Brown Black\nBlack Blue Gray Red Orange Brown Black\nBlack Yellow Blue Red Green Pink Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Gray Pink Purple Brown Yellow Brown Black\nBlack Green Orange Gray Red Yellow Pink Purple Black\nBlack Yellow Orange Green Purple Blue Blue Brown Black\nBlack Purple Pink Orange Gray Pink Blue Purple Black\nBlack Brown Yellow Yellow Red Green Blue Orange Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Green Green Brown Orange Purple Purple Black\nBlack Orange Yellow Purple Green Gray Orange Red Black\nBlack Red Pink Brown Red Purple Orange Blue Black\nBlack Yellow Blue Orange Orange Pink Gray Blue Black\nBlack Brown Orange Pink Pink Pink Purple Brown Black\nBlack Blue Pink Gray Pink Gray Pink Brown Black\nBlack Pink Gray Green Pink Brown Gray Brown 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\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```",
"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 Black Orange Black Purple Purple Brown Black Black Black Black Purple Orange\nBlack Yellow Yellow Pink Orange Black Black Black Black Blue Black Blue Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Yellow Purple Black Black\nOrange Black Black Black Black Blue Orange Black Black Black Black Blue Black\nGreen Orange Pink Black Black Black Yellow Black Black Black Black Orange Black\nBlack Black Black Black Gray Black Red Black Black Brown Black Blue Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Red\nOrange Purple Purple Black Black Pink Black Yellow Black Black Black Black Black\nBlack Black Black Red Yellow Black Pink Black Black Blue Black Black Purple\nBlack Black Black Black Black Black Red Black Black Black Black Black Red\nOrange Black Black Black Black Orange Black Orange Purple Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Brown\n\nOutput:\nOrange Red Purple Red Brown Brown Black Red Red Red Red Brown Purple\nRed Gray Gray Orange Purple Red Red Red Red Yellow Red Yellow Red\nBrown Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Purple Red Purple Red Red Red Red Gray Brown Red Red\nPurple Red Red Red Red Yellow Purple Red Red Red Red Yellow Red\nBlue Purple Orange Red Red Red Gray Red Red Red Red Purple Red\nRed Red Red Red Pink Red Green Red Red Black Red Yellow Red\nRed Red Red Red Red Red Orange Red Red Red Red Red Green\nPurple Brown Brown Red Red Orange Red Gray Red Red Red Red Red\nRed Red Red Green Gray Red Orange Red Red Yellow Red Red Brown\nRed Red Red Red Red Red Green Red Red Red Red Red Green\nPurple Red Red Red Red Purple Red Purple Brown Red Red Red Red\nYellow Red Red Red Red Red Red Red Red Red Red Red Black\n\n\nExample 2\nInput:\nBlack Purple Black Black Red Green Black Blue Blue Red Pink Black\nBlack Black Black Black Black Pink Black Black Pink Black Green Black\nBlack Black Black Black Green Green Black Black Orange Black Black Black\nGray Pink Blue Black Pink Black Black Black Black Black Gray Black\nBlack Black Purple Brown Black Black Black Black Orange Black Black Black\nBlack Yellow Black Black Black Black Purple Black Black Black Black Black\nBlack Black Gray Black Black Black Black Blue Black Black Black Green\nBlue Black Pink Purple Black Black Black Green Black Blue Black Black\nBlack Black Black Yellow Blue Black Black Yellow Blue Black Gray Black\nBrown Black Black Black Black Black Purple Black Yellow Brown Orange Yellow\nBrown Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Purple Yellow Black Black Blue Black Black Black Green Black Black\n\nOutput:\nRed Brown Red Red Green Blue Red Yellow Yellow Green Orange Red\nRed Red Red Red Red Orange Red Red Orange Red Blue Red\nRed Red Red Red Blue Blue Red Red Purple Red Red Red\nPink Orange Yellow Red Orange Red Red Red Red Red Pink Red\nRed Red Brown Black Red Red Red Red Purple Red Red Red\nRed Gray Red Red Red Red Brown Red Red Red Red Red\nRed Red Pink Red Red Red Red Yellow Red Red Red Blue\nYellow Red Orange Brown Red Red Red Blue Red Yellow Red Red\nRed Red Red Gray Yellow Red Red Gray Yellow Red Pink Red\nBlack Red Red Red Red Red Brown Red Gray Black Purple Gray\nBlack Red Red Red Red Red Red Red Red Red Red Gray\nRed Brown Gray Red Red Yellow Red Red Red Blue Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Brown Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Pink Orange Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Pink Black Pink Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nPink Black Black Purple Green Gray Black Black Yellow Pink Black Blue\nGray Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Orange Black Black Brown Black Black Pink Pink Red Gray\nBlack Black Black Gray Black Yellow Black Yellow Black Black Black Black\nYellow Black Black Black Black Gray Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Brown Black Gray Black Black Black Black Purple Black Black Red\nBlack Black Yellow Black Brown Black Black Black Black Gray Black Black\n\nOutput:\nRed Red Red Red Red Gray Red Red Red Red Red Red\nRed Black Red Red Red Blue Red Red Red Red Red Red\nRed Red Red Red Red Gray Orange Purple Pink Red Red Red\nRed Red Red Red Red Red Red Red Red Red Green Red\nRed Red Red Red Red Red Orange Red Orange Red Red Red\nRed Purple Red Red Red Red Red Red Red Red Red Red\nOrange Red Red Brown Blue Pink Red Red Gray Orange Red Yellow\nPink Red Red Red Red Red Red Black Red Red Red Red\nRed Red Purple Red Red Black Red Red Orange Orange Green Pink\nRed Red Red Pink Red Gray Red Gray Red Red Red Red\nGray Red Red Red Red Pink Red Red Red Red Red Yellow\nRed Red Red Red Red Red Red Red Red Red Red Yellow\nRed Black Red Pink Red Red Red Red Brown Red Red Green\nRed Red Gray Red Black Red Red Red Red Pink Red Red\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Blue Brown Red Black Black Purple Black Green Black Black Black\nBlack Black Purple Black Black Pink Red Black Black Black Black Orange Blue Black\nBlack Blue Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Red Black Black\nGray Black Black Black Yellow Black Green Black Black Black Black Pink Black Black\nGray Black Black Orange Gray Pink Gray Black Black Red Black Black Black Black\nBlack Black Brown Black Black Purple Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Blue Pink Black Black Black Black Black Black Black\nOrange Black Black Black Black Gray Black Purple Yellow Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Orange Red Black Black Black Pink\nPurple Green Black Red Black Black Black Black Pink Black Blue Black Black Purple\nBlack Black Yellow Black Black Black Green Black Black Black Black Gray Black Black\nBlack Green Black Black Black Black Black Purple Black Black Black Black Blue 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```\nPink Red Red Red Red Red Red Red Red Red Red Red Red Pink\nRed Red Red Yellow Black Green Red Red Brown Red Blue Red Red Red\nRed Red Brown Red Red Orange Green Red Red Red Red Purple Yellow Red\nRed Yellow Red Red Purple Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Pink Green Red Red\nPink Red Red Red Gray Red Blue Red Red Red Red Orange Red Red\nPink Red Red Purple Pink Orange Pink Red Red Green Red Red Red Red\nRed Red Black Red Red Brown Red Gray Red Red Red Red Red Red\nRed Red Red Red Red Yellow Orange Red Red Red Red Red Red Red\nPurple Red Red Red Red Pink Red Brown Gray Yellow Red Red Red Red\nRed Red Yellow Red Red Red Red Red Purple Green Red Red Red Orange\nBrown Blue Red Green Red Red Red Red Orange Red Yellow Red Red Brown\nRed Red Gray Red Red Red Blue Red Red Red Red Pink Red Red\nRed Blue Red Red Red Red Red Brown Red Red Red Red Yellow 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\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 Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown 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:\nPurple Pink Brown\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 Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nGreen\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 Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nRed Green\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 Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\nBrown\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 Red Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Red Red Black Black\nBlack Black Red Red Black Black\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Red Red Red Red\nBlack Black Red Red Red Red\nRed Red Red Red Black Black\nRed Red Red Red Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Red Red 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\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Black Black\nRed Red Red Red Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Red Red Red 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\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\nRed Red Red Red Red Red\nBlack Black Black Black Red Red\nBlack Black Black Black Red Red\nRed Red Red Red Red Red\nRed 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 Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\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 Pink Pink Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black\nYellow Pink Brown Black Pink Brown Black Black Red Black Black Black Black\nBlack Black Orange Black Black Orange Purple Orange Black Orange Black Black Black\nBlue Black Yellow Red Black Green Gray Black Black Yellow Black Black Black\nPurple Green Purple Black Black Black Black Purple Black Black Black Black Black\nBlack Orange Yellow Black Orange Blue Black Black Black Pink Black Black Black\nPink Black Orange Purple Black Black Black Black Yellow Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Blue Black Orange Yellow Red Pink Black\nBlack Black Yellow Black Black Brown Black Black Black Pink Red 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 Purple Black Black Black Black Black Black\nPurple Purple Purple Black Purple Purple Black Black Purple Black Black Black Black\nBlack Black Purple Black Black Purple Purple Purple Black Purple Black Black Black\nPurple Black Purple Purple Black Purple Purple Black Black Purple Black Black Black\nPurple Purple Purple Black Black Black Black Purple Black Black Black Black Black\nBlack Purple Purple Black Purple Purple Black Black Black Purple Black Black Black\nPurple Black Purple Purple Black Black Black Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Purple Black Purple Purple Purple Purple Black\nBlack Black Purple Black Black Purple Black Black Black Purple Purple 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 Red Black Black Black Black Black Black Black\nBlack Black Red Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Purple Pink Black Black Black Green Black Black\nBlack Black Orange Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Blue Black\nBlack Black Black Blue Purple Black Black Black Black Black Black Black\nBlack Gray Pink Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Red Black Green Pink Black Black Black\nBlack Brown Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue 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 Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Purple Black Black\nBlack Black Purple Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Purple Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Purple Black Purple Purple Black Black Black\nBlack Purple Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Red Yellow Blue Pink Black Black\nBlack Black Black Black Black Gray Black Black Yellow Green Black Black\nBlack Black Black Black Black Purple Black Brown Gray Black Black Black\nBlack Black Black Black Black Orange Gray Black Black Brown Black Black\nBlack 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 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 Purple Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Black Black Purple Purple Black Black\nBlack Black Black Black Black Purple Black Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Purple Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Gray Black Black Black Black Black Black\nBlack Black Black Blue Black Yellow Black Black Blue Black Black Red Pink Black\nBlack Black Blue Black Black Green Black Gray Black Black Black Black Pink Purple\nBlack Orange Black Black Black Black Black Black Black Black Blue Gray Black Black\nRed Black Black Black Brown Black Black Black Black Black Black Black Black Black\nOrange Black Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple 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 Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Black Purple Black Black Purple Purple Black\nBlack Black Purple Black Black Purple Black Purple Black Black Black Black Purple Purple\nBlack Purple Black Black Black Black Black Black Black Black Purple Purple Black Black\nPurple Black Black Black Purple Black Black Black Black Black Black Black Black Black\nPurple Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Black\nBlack Black Black Black Pink 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 Black Black Black Black Red\nBlack Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black\nBlack Black Gray 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 Red Red\nBlack Black Black Black Black Red 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 Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Pink 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\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 Red Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Red Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black 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 Red 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 Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Red Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\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 Red 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 Red 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Red Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow 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\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 Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\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 Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink\nBlack 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\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange\nBlack Black 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```\nBlack Black Gray Gray Gray Gray Gray Gray Black\nBlack 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\nBlack 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:\nGray Black Black Black Black Black Black\nGray Black Black Black Black Black Black\nRed Black Black Black Brown Brown Red\nBlack Black Black Black Black Brown Brown\nBlack Black Black Black Brown Brown Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Black Blue 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\nPink Pink Pink Black Black Black Black\nBrown Brown Brown Black Black Black Black\n\nOutput:\nOrange Orange Black Black Black Black Black\nOrange Orange Black Black Black Black Black\nOrange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Orange Orange Black\nBlack Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Blue Blue Black\nBlack Black Blue Blue Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Orange Orange Black\nBlack Black Orange Orange Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\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 Blue Blue Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Blue\nBlack Black Black Black Black Gray 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\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\nOrange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Black Black Black\nBlack Orange 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:\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Green Green Green Green Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Green Green Green Green Black Black Blue Blue Blue Blue\nBlack Black Gray Gray Gray Gray Black Black Green Green Green Green Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\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 Pink Pink Pink Pink Black Black Black Black Black Black\nBlack 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 Pink Pink Pink Pink Black Black Black Black Black Black\nBlack 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 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 Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Gray Gray Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\n\nOutput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nBlue Blue Blue Blue\nBlue Blue Blue Blue\nBlue Blue Blue Blue\nBlue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green 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 Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black 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```\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow 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 Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Green Green Blue Blue Blue Black\nBlack Green Green Green Blue Blue Blue Black\nBlack Green Green Green Blue Blue Blue Black\nBlack Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Black\nBlack Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Green Green Black Black\nBlack Green Black Green Green Black Black\nBlack Green Black Green Green Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Red Red Black Black\nBlack Yellow Black Red Red Black Black\nBlack Yellow Black Red Red Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Green Blue Blue Black Black Red Red Black\nBlack Green Blue Blue Black Black Red Red Black\nBlack Black 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\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Yellow Yellow Black\nBlack Red Red Red Black Black Yellow Yellow Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black\nBlack Black Blue Blue Blue Black Red Blue 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\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 Red Red Black\nBlack Black Yellow Yellow Yellow Black Red Red 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```",
"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\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nGreen\nGreen\nGreen\nBlack\nGreen\nBlack\nBlack\nBlack\n\nOutput:\nYellow\nYellow\nYellow\nYellow\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\n\n\nExample 2\nInput:\nGreen\nGreen\nBlack\nBlack\nBlack\nGreen\nBlack\nBlack\nGreen\nBlack\nBlack\nGreen\n\nOutput:\nYellow\nYellow\nYellow\nYellow\nYellow\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\n\n\nExample 3\nInput:\nBlack\nGreen\nGreen\nGreen\nBlack\nBlack\nBlack\nGreen\nGreen\nBlack\nGreen\nBlack\n\nOutput:\nYellow\nYellow\nYellow\nYellow\nYellow\nYellow\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\n\n\nHere is the input grid for the test example:\nInput:\nGreen\nGreen\nBlack\nBlack\nGreen\nBlack\nBlack\nBlack\nGreen\nGreen\nBlack\nBlack\nBlack\nBlack\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\nYellow\nYellow\nYellow\nYellow\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\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 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\n\nOutput:\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 Yellow 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 Yellow 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 Yellow 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 Yellow 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\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 Black Yellow 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 Yellow 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 Yellow 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 Yellow 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\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:\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack 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:\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange 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 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```\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 Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\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 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\nBlack Black Black Black Black Black\nBlack Black Red Red Red Black\nBlack Black Red Red Red Black\nBlack Black Red Red Red Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Black Red Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Blue Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue 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 Red Red Black Black Black Black\nBlack Red Red 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\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\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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 Green\nBlack Black Black Pink Black\nBlack Black Pink Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Green Black Black Black\nPink Black Pink Black Black\nBlack Pink Black Pink Black\nPink Black Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Blue Black Black Gray\nBlack Black Red Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Gray Blue Black Blue\nGray Red Black Red Black\nBlack Gray Red Black Blue\nBlack Red Black Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nGreen Black Black Black Black\nBlack Black Black Black Black\nBlack Black Red Black Black\nBlack Black Black Black Yellow\n\nOutput:\nBlack Black Black Green Black\nBlack Black Black Black Green\nBlack Red Black Red Black\nBlack Yellow Red Black Black\nYellow Red Black Red Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Gray\nBlack Black Brown Black Black\nGray Black Black Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Pink\nBlack Gray Black Pink Black\nGray Brown Black Brown Black\nBlack Brown Brown Gray Black\nBrown Brown Black Brown Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black Black Gray Black\nBlack Black Black Black Blue Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Pink 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\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Orange Orange Blue Brown Orange Pink Black\nBlack Black Black Black Black Black Black Purple 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\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Purple\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Purple Gray\nBlack Black Black Black Black Black Green Brown Yellow 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\nBlack Black Black Black Black Gray Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Black Black Black\nBlack Black Black Red Black Black Black Black 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 Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Blue Gray\nBlack Black Black Black Black Black Red Pink Pink 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\nBlack 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\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 Pink Black\nBlack Black Brown Black Brown Purple 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\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\nBlack Black Black Black Brown Blue Purple Pink Pink Black\nBlack Black Black Black Black Black Black 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\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 Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black\nOrange Black Red Orange Black Pink Orange Green Black Black Black Black Black\nRed Red Red Black Black Black Black Green Black Black Black Black Orange\nBlack Red Red Red Black Black Black Black Black Black Black Black Blue\nOrange Red Black Orange Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Red Red Red Red Black Red Black Pink Blue Black\nBlack Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Pink Orange Red Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Red Red Pink Orange 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 Red Red Black Black Black Black\nYellow Black Yellow Yellow Black Pink Orange Green Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Green Black Black Black Black Orange\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue\nYellow Yellow Black Yellow Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Yellow Yellow Yellow Yellow Black Yellow Black Pink Blue Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow 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:\nRed Red Black Black Green Green Green Black Black Black Black Black\nRed Red Black Black Green Black Green Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Red Pink Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\n\nOutput:\nRed Red Black Black Green Green Green Black Black Black Black Black\nRed Red Black Black Green Black Green Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Red Pink Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Pink Black Black Black Red Pink Pink Black\nBlack Black Black Pink Pink Pink Black Black Black Red Black Black\nBlack Black Red Pink 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 Green Green Green Orange Black Black\nBlack Red Orange Green Black Black Green Green Green Orange Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Pink Black Black Black Red Pink Pink Black\nBlack Black Black Pink Pink Pink Black Black Black Red Black Black\nBlack Black Red Pink 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 Yellow Yellow Yellow Yellow Black Black\nBlack Red Orange Green Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Blue Orange Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Blue Orange Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Red\nBlack Black Black Black Black Yellow Black Black Black Black Red Black\nBlack Black Black Black Yellow Black Black Black Black Red Black Black\nBlack Black Black Yellow Black Black Black Black Red Black Black Black\nBlack Black Yellow Black Black Black Black Red Black Black Black Black\nBlack Yellow Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Black Black Black Black Red\nBlack Black Black Black Black Yellow Black Black Black Black Red Black\nBlack Black Black Black Yellow Black Black Black Black Red Black Black\nBlack Black Black Yellow Black Black Black Black Red Black Black Black\nBlack Black Yellow Black Black Black Black Red Black Black Black Black\nBlack Yellow Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Green Black Black Black Gray\nBlack Black Black Black Black Green Black Black Black Gray Black\nBlack Black Black Black Green Black Black Black Gray Black Yellow\nBlack Black Black Green Black Black Black Gray Black Yellow Black\nBlack Black Green Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow 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 Green\n\nOutput:\nBlack Black Black Black Black Black Green Black Black Black Gray\nBlack Black Black Black Black Green Black Black Black Gray Black\nBlack Black Black Black Green Black Black Black Gray Black Yellow\nBlack Black Black Green Black Black Black Gray Black Yellow Black\nBlack Black Green Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Blue 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 Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Gray\nBlack Black Black Orange Black Black Black Black Gray Green\nBlack Black Orange Black Black Black Black Gray Green Black\nBlack Orange Black Black Black Black Gray Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black 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```\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Gray\nBlack Black Black Orange Black Black Black Black Gray Green\nBlack Black Orange Black Black Black Black Gray Green Black\nBlack Orange Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\n```",
"role": "assistant"
}
]
|
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