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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 Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Pink Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Gray Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black 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 Black\nBlack Black 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 Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Orange Orange Black Black Black Gray Gray Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Orange Orange Black Black Black Black Black 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 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 Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Purple Purple Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Orange Orange Black Black Black Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Orange Orange Black Black Black Black Black 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 Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Green Green Black Yellow Black Black Black Black Green Green Green Black Black\nBlack Purple Black Black Black Black Black Green Green Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Yellow Yellow Black Red Black Black Black Black Pink Pink Pink Black Black\nBlack Green Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nPink Black Black Black Black Black Black Black Black Red Red Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nRed Black Black Black Black Black Black Black Black Pink Pink Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Yellow Black 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 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 Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Brown 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 Black Black Black Black Black\nBlack Black Black Black Black Black Brown 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 Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBrown Pink Orange Purple Black Red Yellow Red Gray Brown Purple Orange Orange\nBrown Brown Yellow Brown Brown Brown Brown Black Black Gray Red Gray Green\nBrown Black Black Pink Black Orange Brown Orange Green Pink Brown Gray Brown\nPink Brown Yellow Brown Red Orange Green Orange Orange Black Pink Orange Yellow\nBlack Orange Black Brown Green Black Brown Brown Black Brown Pink Orange Brown\nPink Orange Pink Pink Black Green Green Gray Pink Brown Orange Black Brown\nBlack Pink Brown Pink Brown Orange Yellow Pink Purple Gray Orange Brown Orange\nPink Black Pink Black Brown Brown Brown Orange Pink Orange Orange Orange Orange\nOrange Pink Black Green Gray Brown Pink Pink Pink Gray Brown Black Black\nBlack Pink Pink Orange Brown Purple Orange Pink Black Pink Orange Black Orange\nOrange Orange Pink Brown Brown Black Green Yellow Black Purple Brown Gray Orange\nBrown Green Orange Black Black Blue Brown Green Brown Green Yellow Green Purple\nBlack Yellow Pink Red Black Pink Orange Gray Pink Orange Orange Brown Brown\nPurple Gray Brown Purple Green Gray Brown Orange Brown Pink Red Pink Pink\nPink Brown Orange Brown Orange Gray Red Pink Gray Orange Orange Black Brown\nOrange Black Orange Pink Black Pink Brown Black Red Orange Orange Brown Brown\nGray Orange Black Green Gray Black Purple Orange Orange Black Pink Orange Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Yellow Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Yellow Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Black Purple Blue Purple Yellow Purple Black Black Blue Purple Brown\nGreen Yellow Purple Yellow Yellow Black Purple Brown Purple Orange Black Yellow\nPurple Orange Yellow Purple Black Purple Blue Black Pink Yellow Brown Black\nBlack Blue Yellow Yellow Black Pink Red Orange Black Black Black Green\nPurple Black Black Black Black Yellow Blue Yellow Blue Blue Purple Yellow\nPink Gray Black Brown Yellow Purple Brown Black Blue Black Purple Black\nGreen Gray Brown Gray Blue Purple Brown Purple Orange Yellow Yellow Purple\nBlue Purple Purple Green Black Purple Pink Blue Black Purple Black Blue\nBlack Orange Purple Purple Yellow Purple Gray Blue Blue Pink Pink Pink\nGreen Pink Orange Orange Purple Green Orange Yellow Green Brown Black Orange\nPink Green Brown Gray Gray Black Pink Green Brown Pink Yellow Blue\nBlack Black Purple Black Black Orange Black Black Blue Red Yellow Red\nBlack Black Pink Green Purple Yellow Orange Yellow Black Black Yellow Pink\nBlue Black Pink Yellow Blue Blue Orange Pink Blue Orange Pink Black\nBlack Green Yellow Yellow Yellow Blue Purple Pink Pink Black Purple Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Yellow Yellow Black\nBlack Red Red Yellow Yellow Red Red Red Red Red Red Black\nBlack Yellow Yellow Yellow Red Red Red Red Yellow Yellow Yellow Black\nBlack Red Yellow Yellow Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Yellow Red Red Red Red Red Red Red Red Red Black\nBlack Yellow Yellow Red Red Red Red Red Red Red Red Black\nBlack Yellow Red Red Red Red Red Red Red Red Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPurple Purple Blue Black Gray Pink Purple Pink Black Green Gray Brown\nPink Black Orange Gray Pink Gray Purple Purple Black Gray Purple Brown\nBrown Gray Brown Red Black Pink Orange Pink Blue Brown Brown Brown\nGreen Purple Pink Red Brown Red Orange Gray Black Purple Green Purple\nPink Gray Yellow Black Orange Black Yellow Black Brown Brown Brown Black\nBrown Brown Pink Purple Orange Brown Pink Brown Black Pink Brown Blue\nOrange Black Pink Black Black Purple Yellow Purple Brown Pink Black Brown\nYellow Gray Gray Green Orange Pink Purple Black Red Purple Gray Gray\nBrown Brown Gray Gray Pink Brown Black Black Purple Red Black Brown\nPurple Black Purple Yellow Brown Orange Yellow Blue Black Purple Black Orange\nPurple Purple Blue Black Brown Purple Blue Black Black Purple Black Brown\nOrange Gray Brown Purple Black Brown Pink Black Pink Black Black Brown\nBrown Black Blue Purple Black Brown Black Orange Yellow Blue Gray Purple\nBrown Pink Brown Brown Purple Orange Black Blue Pink Black Brown Purple\nPink Black Purple Pink Pink Yellow Blue Pink Black Yellow Black Purple\nBlack Gray Purple Brown Brown Blue Gray Purple Pink Black Red Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Yellow Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Yellow Red Red Red Black\nBlack Red Red Red Red Red Red Yellow Yellow Yellow Red Black\nBlack Red Red Red Red Red Red Yellow Yellow Yellow Yellow Black\nBlack Red Red Red Red Red Red Yellow Yellow Yellow Red Black\nBlack Red Red Red Red Yellow Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Yellow Red 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 Orange Orange Yellow Brown Orange Black Gray Purple Black Pink Purple Orange Gray\nPurple Purple Orange Pink Purple Pink Orange Green Red Brown Brown Black Black Gray\nGreen Pink Black Pink Orange Brown Orange Black Green Orange Pink Green Brown Purple\nPink Pink Pink Orange Black Pink Gray Gray Orange Green Brown Brown Green Black\nBlack Orange Red Black Gray Orange Pink Pink Black Pink Black Purple Pink Orange\nOrange Green Brown Black Orange Orange Orange Orange Brown Pink Brown Black Brown Orange\nOrange Pink Brown Purple Orange Orange Brown Pink Brown Black Red Black Black Orange\nBlack Purple Black Orange Orange Gray Purple Red Black Purple Black Yellow Pink Black\nOrange Black Orange Pink Orange Blue Red Red Green Purple Brown Pink Gray Green\nOrange Black Brown Orange Black Black Purple Green Orange Pink Gray Red Blue Pink\nOrange Gray Orange Gray Green Black Brown Gray Pink Purple Gray Red Black Gray\nBlack Orange Brown Pink Brown Gray Gray Black Purple Red Purple Pink Gray Orange\nPink Pink Pink Pink Gray Orange Pink Orange Orange Brown Gray Brown Black Orange\nPink Orange Black Pink Black Pink Gray Orange Yellow Brown Black Orange 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"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Yellow Yellow Red Black\nBlack Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Yellow Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Black Red Black Black Orange Black\nBlack Black Black Black Black Black Black Black\nBlack Red Orange Yellow Black Green Green Blue\nOrange Black Black Black Orange Black Black Blue\nGreen Blue Black Yellow Black Black Black Blue\nBlue Green Red Yellow Black Black Black Red\nYellow Black Black Black Black Green Green Black\nBlack Black Green Red Red 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 Blue\nBlack Black Black Black Black Black Black Blue\nBlack Blue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Orange Green Yellow Black Black Black\nBlack Black Black Green Green Black Black\nBlack Black Black Black Red Black Red\nBlack Blue Blue Blue Yellow Black Black\nBlue Black Blue Blue Black Red Blue\nYellow Yellow Blue Blue Black Black Red\nBlack Blue Black Green 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 Blue Blue Blue Black Black Black\nBlue Black Blue Blue Black Black Blue\nBlack Black Blue Blue Black Black Black\nBlack Blue Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Yellow Yellow Black Orange Black Blue\nBlack Black Black Black Red Black Blue\nOrange Black Blue Black Black Black Orange\nBlue Black Black Black Green Blue Yellow\nRed Black Black Black Blue Black Black\nGreen Orange Black Yellow Black Blue Black\nBlack Black Red Black Black Orange Black\nOrange Blue Black Black Blue Black Red\nBlack Black Black Green Black Orange Green\n\nOutput:\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Black\nBlue Black Black Black Black Blue Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Green Black Orange Red Red Black Black Black\nBlack Black Yellow Orange Black Black Yellow Black Red\nRed Red Red Orange Black Black Blue Black Red\nBlue Black Green Black Black Black Black Black Black\nGreen Black Black Green Green Orange Black Black Yellow\nBlack Black Black Black Black Black Black Green Black\nBlue Black Black Red Red Green Black Black Black\nBlack Black Yellow Black Red Black Black Blue Black\nBlue Blue Black Orange Black Black Green 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlue Blue Black Black Black Black Black 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:\nOrange Brown Purple Orange Orange Orange Brown Purple Orange Orange\nPurple Brown Black Black Black Purple Brown Brown Orange Blue\nRed Red Black Black Black Red Red Red Gray Blue\nGray Blue Black Black Black Gray Blue Red Gray Gray\nPink Gray Black Black Black Pink Gray Yellow Brown Gray\nOrange Brown Purple Orange Orange Orange Brown Purple Orange Orange\nPurple Brown Brown Orange Blue Purple Brown Brown Orange Blue\nRed Red Red Gray Blue Red Red Red Gray Blue\nGray Blue Red Gray Gray Gray Blue Red Gray Gray\nPink Gray Yellow Brown Gray Pink Gray Yellow Brown Gray\n\nOutput:\nOrange Brown Purple Orange Orange Orange Brown Purple Orange Orange\nPurple Brown Gray Gray Brown Purple Brown Brown Orange Blue\nRed Red Red Red Yellow Red Red Red Gray Blue\nGray Blue Red Blue Gray Gray Blue Red Gray Gray\nPink Gray Red Gray Pink Pink Gray Yellow Brown Gray\nOrange Brown Purple Orange Orange Orange Brown Purple Orange Orange\nPurple Brown Brown Orange Blue Purple Brown Brown Orange Blue\nRed Red Red Gray Blue Red Red Red Gray Blue\nGray Blue Red Gray Gray Gray Blue Red Gray Gray\nPink Gray Yellow Brown Gray Pink Gray Yellow Brown Gray\n\n\nExample 2\nInput:\nPurple Blue Pink Purple Blue Pink Purple Blue Pink\nYellow Blue Blue Yellow Blue Blue Yellow Blue Blue\nPurple Blue Pink Purple Blue Pink Purple Blue Pink\nPurple Blue Pink Purple Blue Pink Purple Blue Pink\nYellow Blue Blue Yellow Black Black Black Blue Blue\nPurple Blue Pink Purple Black Black Black Blue Pink\nPurple Blue Pink Purple Blue Pink Purple Blue Pink\nYellow Blue Blue Yellow Blue Blue Yellow Blue Blue\nPurple Blue Pink Purple Blue Pink Purple Blue Pink\n\nOutput:\nPurple Blue Pink Purple Blue Pink Purple Blue Pink\nYellow Blue Blue Yellow Blue Blue Yellow Blue Blue\nPurple Blue Pink Purple Blue Pink Purple Blue Pink\nPurple Blue Pink Purple Blue Pink Purple Blue Pink\nYellow Blue Blue Yellow Black Black Blue Blue Blue\nPurple Blue Pink Purple Yellow Purple Purple Blue Pink\nPurple Blue Pink Purple Blue Pink Purple Blue Pink\nYellow Blue Blue Yellow Blue Blue Yellow Blue Blue\nPurple Blue Pink Purple Blue Pink Purple Blue Pink\n\n\nExample 3\nInput:\nBrown Yellow Yellow Yellow Brown Yellow Yellow Yellow Brown Yellow Yellow Yellow\nGray Orange Yellow Yellow Gray Orange Yellow Yellow Gray Orange Yellow Yellow\nGreen Red Orange Yellow Green Red Orange Yellow Green Red Orange Yellow\nGreen Green Gray Brown Green Green Gray Brown Green Green Gray Brown\nBrown Yellow Yellow Yellow Black Black Black Black Brown Yellow Yellow Yellow\nGray Orange Yellow Yellow Black Black Black Black Gray Orange Yellow Yellow\nGreen Red Orange Yellow Black Black Black Black Green Red Orange Yellow\nGreen Green Gray Brown Green Green Gray Brown Green Green Gray Brown\nBrown Yellow Yellow Yellow Brown Yellow Yellow Yellow Brown Yellow Yellow Yellow\nGray Orange Yellow Yellow Gray Orange Yellow Yellow Gray Orange Yellow Yellow\nGreen Red Orange Yellow Green Red Orange Yellow Green Red Orange Yellow\nGreen Green Gray Brown Green Green Gray Brown Green Green Gray Brown\n\nOutput:\nBrown Yellow Yellow Yellow Brown Yellow Yellow Yellow Brown Yellow Yellow Yellow\nGray Orange Yellow Yellow Gray Orange Yellow Yellow Gray Orange Yellow Yellow\nGreen Red Orange Yellow Green Red Orange Yellow Green Red Orange Yellow\nGreen Green Gray Brown Green Green Gray Brown Green Green Gray Brown\nBrown Yellow Yellow Yellow Black Black Black Brown Brown Yellow Yellow Yellow\nGray Orange Yellow Yellow Black Black Black Gray Gray Orange Yellow Yellow\nGreen Red Orange Yellow Black Black Black Green Green Red Orange Yellow\nGreen Green Gray Brown Green Green Gray Brown Green Green Gray Brown\nBrown Yellow Yellow Yellow Brown Yellow Yellow Yellow Brown Yellow Yellow Yellow\nGray Orange Yellow Yellow Gray Orange Yellow Yellow Gray Orange Yellow Yellow\nGreen Red Orange Yellow Green Red Orange Yellow Green Red Orange Yellow\nGreen Green Gray Brown Green Green Gray Brown Green Green Gray Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Red Red Red Blue Blue Red Red Red Blue Blue Red Red Red\nBlue Blue Red Red Red Blue Blue Red Red Red Blue Blue Red Red Red\nRed Red Pink Yellow Brown Red Red Pink Yellow Brown Red Red Pink Yellow Brown\nRed Red Yellow Yellow Yellow Black Black Yellow Yellow Yellow Red Red Yellow Yellow Yellow\nRed Red Brown Yellow Purple Black Black Brown Yellow Purple Red Red Brown Yellow Purple\nBlue Blue Red Red Red Black Black Red Red Red Blue Blue Red Red Red\nBlue Blue Red Red Red Blue Blue Red Red Red Blue Blue Red Red Red\nRed Red Pink Yellow Brown Red Red Pink Yellow Brown Red Red Pink Yellow Brown\nRed Red Yellow Yellow Yellow Red Red Yellow Yellow Yellow Red Red Yellow Yellow Yellow\nRed Red Brown Yellow Purple Red Red Brown Yellow Purple Red Red Brown Yellow Purple\nBlue Blue Red Red Red Blue Blue Red Red Red Blue Blue Red Red Red\nBlue Blue Red Red Red Blue Blue Red Red Red Blue Blue Red Red Red\nRed Red Pink Yellow Brown Red Red Pink Yellow Brown Red Red Pink Yellow Brown\nRed Red Yellow Yellow Yellow Red Red Yellow Yellow Yellow Red Red Yellow Yellow Yellow\nRed Red Brown Yellow Purple Red Red Brown Yellow Purple Red Red Brown Yellow Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Red Red Red Blue Blue Red Red Red Blue Blue Red Red Red\nBlue Blue Red Red Red Blue Blue Red Red Red Blue Blue Red Red Red\nRed Red Pink Yellow Brown Red Red Pink Yellow Brown Red Red Pink Yellow Brown\nRed Red Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Red Red Yellow Yellow Yellow\nRed Red Brown Yellow Purple Blue Blue Brown Yellow Purple Red Red Brown Yellow Purple\nBlue Blue Red Red Red Red Red Red Red Red Blue Blue Red Red Red\nBlue Blue Red Red Red Blue Blue Red Red Red Blue Blue Red Red Red\nRed Red Pink Yellow Brown Red Red Pink Yellow Brown Red Red Pink Yellow Brown\nRed Red Yellow Yellow Yellow Red Red Yellow Yellow Yellow Red Red Yellow Yellow Yellow\nRed Red Brown Yellow Purple Red Red Brown Yellow Purple Red Red Brown Yellow Purple\nBlue Blue Red Red Red Blue Blue Red Red Red Blue Blue Red Red Red\nBlue Blue Red Red Red Blue Blue Red Red Red Blue Blue Red Red Red\nRed Red Pink Yellow Brown Red Red Pink Yellow Brown Red Red Pink Yellow Brown\nRed Red Yellow Yellow Yellow Red Red Yellow Yellow Yellow Red Red Yellow Yellow Yellow\nRed Red Brown Yellow Purple Red Red Brown Yellow Purple Red Red Brown Yellow 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\nBlack Black 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\nBlack 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\nBlack 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\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Yellow 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 Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 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 Black Black Black Black 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 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 Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray 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 Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black 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 Brown Brown Black Green\nPink Pink Black Black Brown Brown Black Black\nPink Pink Pink Black Black Black Black Black\nPink Pink Black Black Black Pink Black Black\nBlack Black Black Black Pink Pink Pink Black\nPurple Black Orange Black Black Pink Black Black\nPurple Black Orange Black Black Black Black Black\nPurple Black Orange Black Brown Brown Brown Black\n\nOutput:\nBlack Black Black Black Brown Brown Black Yellow\nPink Pink Black Black Brown Brown Black Black\nPink Pink Pink Black Black Black Black Black\nPink Pink Black Black Black Pink Black Black\nBlack Black Black Black Pink Pink Pink Black\nPurple Black Orange Black Black Pink Black Black\nPurple Black Orange Black Black Black Black Black\nPurple Black Orange Black Brown Brown Brown Black\n\n\nExample 2\nInput:\nBlack Gray Gray Black Blue Blue Blue\nBlack Black Black Black Blue Blue Blue\nOrange Orange Black Black Black Black Black\nBlack Black Black Black Black Green Green\nBlue Black Gray Black Black Black Black\nBlack Black Gray Black Black Green Green\nBlack Black Gray Black Black Black Black\n\nOutput:\nBlack Gray Gray Black Blue Blue Blue\nBlack Black Black Black Blue Blue Blue\nOrange Orange Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow\nBlue Black Gray Black Black Black Black\nBlack Black Gray Black Black Yellow Yellow\nBlack Black Gray Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nGreen Black Black Yellow Yellow Yellow Black\nGreen Black Black Yellow Yellow Yellow Black\nGreen Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Purple Black Black Black Red Black\nPurple Black Black Black Red Red Black\nPurple Black Black Black Black Black Black\nBlack Black Green Green Black Purple Black\n\nOutput:\nBlack Black Black Black Black Black Black\nYellow Black Black Yellow Yellow Yellow Black\nYellow Black Black Yellow Yellow Yellow Black\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Purple Black Black Black Red Black\nPurple Black Black Black Red Red Black\nPurple Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Purple Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Purple Purple Black Black Pink Pink\nGreen Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray\nBlack Pink Pink Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Gray Black Orange Orange Black Black\nBlack Black Gray Black Black Orange Black Black\nGreen 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```\nYellow Black Purple Purple Black Black Pink Pink\nYellow Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray\nBlack Pink Pink Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Gray Black Orange Orange Black Black\nBlack Black Gray Black Black Orange Black Black\nYellow 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 Orange Black Black Gray Gray Gray Black Black\nBlack Orange Orange Orange Black Black Gray Gray Black Black\nBlack Black Orange Black Black Gray Gray 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 Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Gray\nBlack Black Black Black Orange 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Green Green Green Black Orange Orange Orange\nBlack Black Black Black Green Green Black Orange Orange Orange\nBlack Black Black Black Black Green Black Black Orange 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Red Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green\nBlack Red Red Red Black Red Black Black Black Green\nBlack Red Red Red Black Red Red Black Black Black\nBlack Red Red Black Black Red 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\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 Gray Black Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black 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\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 Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black Gray\nBlack Black Black Black Black Blue Black Black Black Gray\nBlack Black Black Blue Black Black Black Gray Gray Gray\nBlack Black Blue Blue Blue Black Black Black Black Gray\nBlack Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Brown 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 Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Yellow Yellow Yellow Yellow\nYellow Black Black Black Black\nYellow Black Black Pink Pink\nYellow Black Black Pink Pink\nYellow Black Black Black Black\n\nOutput:\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Gray Green Green Green\nGray Black Black Black Black\nGreen Black Black Red Red\nGreen Black Black Red Red\nGreen Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Green Green Green\nGreen Black Black Black Black\nGreen Black Black Brown Brown\nGreen Black Black Brown Brown\nGreen Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Brown Brown Brown Brown\nGreen Green Black Black Black Black Brown Brown Brown Brown\nGreen Green Black Black Black Black Brown Brown Brown Brown\nGreen Green Black Black Black Black Brown Brown Brown Brown\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green 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\nGray Black Black Black Black\nGray Black Black Black Black\nGray Black Black Pink Pink\nGray 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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Pink Pink Pink Pink\nGray Gray Black Black Black Black Pink Pink Pink Pink\nGray Gray Black Black Black Black Pink Pink Pink Pink\nGray Gray Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Purple Purple Black Black Yellow Yellow\nBlack Black Black Black Purple Purple Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\n\nOutput:\nPurple Purple Black Black Purple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple Black Black Purple Purple\nPurple Purple Black Black Black Black Purple Purple Black Black\nPurple Purple Black Black Black Black Purple Purple Black Black\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Purple Purple Black Black\nPurple Purple Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\n\n\nExample 2\nInput:\nGreen Green Black Black Black Black Green Green Green Green\nGreen Green Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nGreen Green Black Black Pink Pink Black Black Black Black\nGreen Green Black Black Pink Pink Black Black Black Black\nBlack Black Green Green Green Green Black Black Green Green\nBlack Black Green Green Green Green Black Black Green Green\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black\nPink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Pink Pink Black Black Black Black Pink Pink\n\n\nExample 3\nInput:\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Green Green\nBlack Black Green Green Green Green Black Black Green Green\nGreen Green Black Black Orange Orange Green Green Green Green\nGreen Green Black Black Orange Orange Green Green Green Green\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange\nOrange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Orange Orange Orange Orange Black Black\nOrange Orange Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Black Black Gray Gray Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray 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 Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Black Pink Black Black\nBlack Orange Black Black Black Black Black Black\nBlack Black Black Purple Orange Black Red Black\nBlue Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Blue\nBlack Black Pink Black Black Black Black Black\nBlack Black Red Black Black Black Purple Black\nBlack Black Black Yellow Black Black Orange Black\nBlack Green Yellow Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nBlack Black Purple Black Yellow Black Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Brown Black Black Gray Black Black\nBlack Orange Gray Black Black Black Black Purple\n\nOutput:\nOrange Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGreen Black Black Black Black Pink Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Black Black Green Yellow Black Blue Black\nRed Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Red\nBlack Black Pink Black Black Black Black Black\nBlack Black Blue Black Black Black Green Black\nBlack Black Black Orange Black Black Yellow Black\nBlack Purple Orange Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Black Green Black Orange Black Black Black\nBlack Black Black Black Black Red Black Black\nBlack Black Orange Black Black Gray Black Black\nBlack Yellow Gray Black Black Black Black Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Orange Brown Black Purple Black\nBlack Black Black Yellow Black Black Brown Black Black Black\nBlack Pink Black Blue Black Black Black Black Black Black\nPurple Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nGray Black Green Black Black Black Blue Black Black Blue\nBlack Black Black Blue Black Black Black Purple Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Orange Black Green Black\nBlack Black Black Orange Black Black Orange Black Black Black\nBlack Pink Black Red Black Black Black Black Black Black\nGreen Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nGray Black Purple Black Black Black Red Black Black Red\nBlack Black Black Red Black Black Black Green Black Black\n\n\nExample 3\nInput:\nBrown Black Black Pink Black Black Green Black Pink Black Black\nBlue Black Black Pink Black Black Black Black Green Black Black\nBlack Green Black Black Blue Black Gray Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black\nGreen Black Gray Brown Black Black Black Orange Black Black Purple\nBlack Black Black Green Pink Black Gray Yellow Black Orange Blue\nBlack Black Black Black Black Black Black Brown Black Black Green\n\nOutput:\nOrange Black Black Pink Black Black Purple Black Pink Black Black\nRed Black Black Pink Black Black Black Black Purple Black Black\nBlack Purple Black Black Red Black Gray Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Black Gray Orange Black Black Black Yellow Black Black Green\nBlack Black Black Purple Pink Black Gray Orange Black Yellow Red\nBlack Black Black Black Black Black Black Orange Black Black Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Gray Gray Red Gray Yellow Black Black\nBlack Black Black Gray Black Green Black Purple Orange\nBlack Black Red Black Black Red Red Black Black\nPink Black Black Black Orange Black Brown Black Black\nBlack Purple Pink Black Black Green Black Black Black\nBlack Black Brown Black Purple Pink Black Black Black\nGray Pink Black Black Purple Orange Black Purple Black\nBlack Gray Pink Black Black Black Green Black Yellow\nBlack Black Black Blue Orange Black Brown 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 Orange Gray Gray Blue Gray Orange Black Black\nBlack Black Black Gray Black Purple Black Green Yellow\nBlack Black Blue Black Black Blue Blue Black Black\nPink Black Black Black Yellow Black Orange Black Black\nBlack Green Pink Black Black Purple Black Black Black\nBlack Black Orange Black Green Pink Black Black Black\nGray Pink Black Black Green Yellow Black Green Black\nBlack Gray Pink Black Black Black Purple Black Orange\nBlack Black Black Red Yellow Black Orange Black Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Yellow Black\nBlack Black Yellow Yellow Black\nBlack Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Pink Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nPink Pink\nPink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Orange Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nOrange Orange\nOrange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray\nGray 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 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 Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink 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 Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Brown Brown Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Pink Pink Brown Brown Black Black Black Black Black Black Black\nBlack Black Pink Pink Brown Brown Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Blue Blue Black Black Black Green Green Black Black Black\nBlack Black Blue Blue Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Green Yellow Yellow 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 Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black 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 Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Brown 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 Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink 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\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\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 Black Black\nBlack Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Green Red Green\nBlack Black Black Black Black Black Green Red 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Green Red Green\nBlack Black Black Black Black Black Green Red Green\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Blue Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Red Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Red Blue Red 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\n\nOutput:\nBlack Black Black Black Black Black Red Blue Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Red Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Red Blue Red 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 Blue Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Green Green 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 Black Black 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 Green Black Green Black\nBlack Black Black Black Black Green Green 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 Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Red Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Red Blue Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Red Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Red Red Black Black Black Black Black\nBlack Black Black Red Blue Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Red Red Orange Black Red Orange Black\nBlack Orange Yellow Red Pink Yellow Black Red Black Black\nBlack Black Brown Pink Black Black Pink Black Black Purple\nBlack Yellow Blue Black Black Purple Black Black Black Blue\nBlack Black Purple Orange Black Orange Black Black Gray Black\nPink Black Black Black Black Black Black Black Red Black\nBlack Pink Black Black Purple Black Black Black Black Black\nGreen Purple Black Black Black Black Orange Yellow Black Orange\nBlack Black Orange Blue Black Yellow Black Black Green Purple\nPurple Yellow Pink Brown Black Pink Brown Black Black Orange\n\nOutput:\nOrange Orange Black Black Black Black Brown Brown Pink Pink Black Black Brown Brown Pink Pink Yellow Yellow Purple Purple\nOrange Orange Black Black Black Black Brown Brown Pink Pink Black Black Brown Brown Pink Pink Yellow Yellow Purple Purple\nPurple Purple Green Green Black Black Black Black Yellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black\nPurple Purple Green Green Black Black Black Black Yellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black\nOrange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Purple Purple Green Green\nOrange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Purple Purple Green Green\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Pink Pink Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Gray Gray Black Black Black Black Orange Orange Black Black Orange Orange Purple Purple Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Orange Orange Black Black Orange Orange Purple Purple Black Black Black Black\nBlue Blue Black Black Black Black Black Black Purple Purple Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Purple Purple Black Black Black Black Blue Blue Yellow Yellow Black Black\nPurple Purple Black Black Black Black Pink Pink Black Black Black Black Pink Pink Brown Brown Black Black Black Black\nPurple Purple Black Black Black Black Pink Pink Black Black Black Black Pink Pink Brown Brown Black Black Black Black\nBlack Black Black Black Red Red Black Black Yellow Yellow Pink Pink Red Red Yellow Yellow Orange Orange Black Black\nBlack Black Black Black Red Red Black Black Yellow Yellow Pink Pink Red Red Yellow Yellow Orange Orange Black Black\nBlack Black Orange Orange Red Red Black Black Orange Orange Red Red Red Red Black Black Black Black Black Black\nBlack Black Orange Orange Red Red Black Black Orange Orange Red Red Red Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Pink Orange Black Orange Black Black Black\nBlue Black Black Black Black Black Blue Green Yellow Black\nBlack Black Black Brown Black Black Black Black Purple Brown\nBlack Black Black Black Black Black Black Black Blue Black\nPink Black Purple Blue Black Black Black Green Pink Green\nBlack Purple Yellow Black Black Black Red Brown Black Pink\nBlack Black Black Yellow Black Black Black Black Brown Black\nBlack Purple Black Black Black Blue Purple Black Gray Pink\nBlack Purple Black Orange Black Black Yellow Black Orange Black\nOrange Black Red Black Red Brown Black Black Brown Brown\n\nOutput:\nBrown Brown Brown Brown Black Black Black Black Brown Brown Red Red Black Black Red Red Black Black Orange Orange\nBrown Brown Brown Brown Black Black Black Black Brown Brown Red Red Black Black Red Red Black Black Orange Orange\nBlack Black Orange Orange Black Black Yellow Yellow Black Black Black Black Orange Orange Black Black Purple Purple Black Black\nBlack Black Orange Orange Black Black Yellow Yellow Black Black Black Black Orange Orange Black Black Purple Purple Black Black\nPink Pink Gray Gray Black Black Purple Purple Blue Blue Black Black Black Black Black Black Purple Purple Black Black\nPink Pink Gray Gray Black Black Purple Purple Blue Blue Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nPink Pink Black Black Brown Brown Red Red Black Black Black Black Black Black Yellow Yellow Purple Purple Black Black\nPink Pink Black Black Brown Brown Red Red Black Black Black Black Black Black Yellow Yellow Purple Purple Black Black\nGreen Green Pink Pink Green Green Black Black Black Black Black Black Blue Blue Purple Purple Black Black Pink Pink\nGreen Green Pink Pink Green Green Black Black Black Black Black Black Blue Blue Purple Purple Black Black Pink Pink\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Purple Purple Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBrown Brown Purple Purple Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Yellow Yellow Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Yellow Yellow Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Pink Pink Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Pink Pink Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Orange Black Black Black Black Black Green\nBlack Pink Black Pink Black Black Black Black Black Black\nBlack Black Gray Brown Yellow Gray Black Black Black Black\nRed Black Black Black Black Brown Yellow Green Yellow Black\nBlack Gray Brown Black Black Black Black Black Blue Purple\nBlack Black Black Black Brown Black Black Black Gray Black\nBlack Black Black Black Black Orange Brown Blue Yellow Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Orange Black\nBlack Black Red Black Blue Pink Gray Black Black Yellow\n\nOutput:\nYellow Yellow Black Black Black Black Gray Gray Pink Pink Blue Blue Black Black Red Red Black Black Black Black\nYellow Yellow Black Black Black Black Gray Gray Pink Pink Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Brown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Brown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nPurple Purple Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black\nPurple Purple Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black\nBlack Black Yellow Yellow Green Green Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Red Red\nBlack Black Yellow Yellow Green Green Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Gray Gray Yellow Yellow Brown Brown Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Yellow Yellow Brown Brown Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Red Black Green Black Gray Black Pink Purple Black\nBlack Pink Purple Blue Gray Black Black Black Black Black\nBlack Black Brown Black Pink Black Black Pink Black Black\nBlack Black Orange Brown Black Orange Black Yellow Gray Gray\nBlack Purple Yellow Blue Orange Black Black Black Black Red\nBlack Black Black Black Brown Black Black Blue Black Yellow\nBlack Black Black Purple Black Red Green Black Black Purple\nOrange Black Purple Black Black Black Gray Black Pink Black\nBlack Gray Black Black Black Blue 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 Gray Gray Black Black Blue Blue Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Blue Blue Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Pink Pink Black Black Gray Gray Black Black Black Black Black Black Purple Purple Black Black Orange Orange\nBlack Black Pink Pink Black Black Gray Gray Black Black Black Black Black Black Purple Purple Black Black Orange Orange\nPurple Purple Black Black Black Black Green Green Red Red Black Black Purple Purple Black Black Black Black Black Black\nPurple Purple Black Black Black Black Green Green Red Red Black Black Purple Purple Black Black Black Black Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Orange Orange Blue Blue Yellow Yellow Purple Purple Black Black\nRed Red Black Black Black Black Black Black Black Black Orange Orange Blue Blue Yellow Yellow Purple Purple Black Black\nGray Gray Gray Gray Yellow Yellow Black Black Orange Orange Black Black Brown Brown Orange Orange Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Black Black Orange Orange Black Black Brown Brown Orange Orange Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Purple Purple Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Purple Purple Pink Pink Black Black\nBlack Black Purple Purple Pink Pink Black Black Gray Gray Black Black Green Green Black Black Red Red Black Black\nBlack Black Purple Purple Pink Pink Black Black Gray Gray Black Black Green Green Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\n\nOutput:\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Green Green 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\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nGreen Green Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Green Green 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 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 Black Black Black Black Black Black Green Green Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green 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\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 Green Green Green Green Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black 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 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 Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Green Green\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Green Green Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Green Green Green Green Green Green 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\nGreen Green Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray 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\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray 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 Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray\nBlack Black 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 Gray Gray Gray Gray\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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack 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 Purple Purple Purple Purple Purple Purple 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 Black Black Black Black 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 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack 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 Purple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink 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 Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink 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 Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Orange Orange 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 Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange 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 Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray 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 Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray 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 Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray 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 Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Yellow Yellow Yellow Yellow Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Yellow Black Black Black Blue Blue Blue\nBlack Yellow Yellow Yellow Black Blue Black Black\nBlack Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black\nBlack Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Green Black Black Black Orange Orange Orange\nBlack Green Green Green Black Orange Black Black\nBlack Green Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black\nBlue Black Blue Black Yellow Black Black\nBlack Black Blue Black Yellow Black Blue\nBlack Blue Blue Black Yellow Black Blue\nBlack Black Black Black Yellow Black Black\nBlack Black Red Red Red Red Black\n\nOutput:\nOrange Black Black Black Orange Black Black\nOrange Black Black Black Black Black Black\nOrange Black Orange Black Green Black Black\nBlack Black Orange Black Green Black Orange\nBlack Orange Orange Black Green Black Orange\nBlack Black Black Black Green Black Black\nBlack Black Orange Orange Orange Orange 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 Blue Blue\nYellow Yellow Yellow Yellow Black Blue Black\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow 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 Orange Orange\nGreen Green Green Green Black Orange Black\nGreen Black Black Black Black Black Black\nGreen Black Black Black Black Black Black\nGreen Green Black Black Green Green 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 Blue Blue Black Black Black Black\nBlack Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Red Red Red Red Blue Black Black\nBlack Black Red Black Black Black Blue Black Black\nBlack Black Red 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 Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Black Black Black Orange Black Black\nBlack Black 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:\nBlack Black Black Black Green Black Black Blue Blue Blue Black\nYellow Black Green Green Yellow Black Black Blue Blue Blue Black\nBlack Green Black Yellow Black Yellow Black Black Black Black Blue\nBlack Black Green Black Green Black Blue Yellow Yellow Black Black\nYellow Black Yellow Black Yellow Black Yellow Blue Blue Black Black\nBlack Yellow Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Black Green Yellow Black Blue Black Yellow Blue Black\nYellow Green Yellow Black Green Yellow Yellow Black Yellow Black Black\nBlack Yellow Black Black Yellow Black Black Blue Black Blue Yellow\n\nOutput:\nBlack Black Black Black Orange Black Black Gray Gray Gray Black\nYellow Black Orange Orange Yellow Black Black Gray Gray Gray Black\nBlack Orange Black Yellow Black Yellow Black Black Black Black Gray\nBlack Black Orange Black Orange Black Gray Yellow Yellow Black Black\nYellow Black Yellow Black Yellow Black Yellow Gray Gray Black Black\nBlack Yellow Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Black Orange Yellow Black Gray Black Yellow Gray Black\nYellow Orange Yellow Black Orange Yellow Yellow Black Yellow Black Black\nBlack Yellow Black Black Yellow Black Black Gray Black Gray Yellow\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow Blue Black Blue Black\nBlack Yellow Yellow Green Black Black Blue Blue\nYellow Green Black Green Black Blue Black Blue\nYellow Green Green Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Yellow\nBlack Black Black Black Yellow Yellow Black Yellow\nBlack Black Black Black Black Yellow Blue Yellow\nBlack Black Green Black Yellow Black Black Black\nBlack Black Yellow Yellow Black Yellow Black Yellow\nBlack Black Black Yellow Black Black Black Black\nYellow Green Yellow Black Yellow Blue Black Black\n\nOutput:\nBlack Black Yellow Yellow Gray Black Gray Black\nBlack Yellow Yellow Orange Black Black Gray Gray\nYellow Orange Black Orange Black Gray Black Gray\nYellow Orange Orange Yellow Black Black Black Black\nBlack Black Black Black Black Black Gray Yellow\nBlack Black Black Black Yellow Yellow Black Yellow\nBlack Black Black Black Black Yellow Gray Yellow\nBlack Black Orange Black Yellow Black Black Black\nBlack Black Yellow Yellow Black Yellow Black Yellow\nBlack Black Black Yellow Black Black Black Black\nYellow Orange Yellow Black Yellow Gray Black Black\n\n\nExample 3\nInput:\nBlack Yellow Green Black Yellow Black Blue Black\nBlack Green Black Green Black Black Yellow Black\nBlack Yellow Black Green Black Black Black Blue\nYellow Black Black Black Blue Black Black Yellow\nBlack Black Black Green Yellow Blue Yellow Black\nBlack Black Black Black Yellow Black Blue Black\nYellow Black Black Black Black Blue Black Black\nGreen Yellow Black Black Yellow Black Yellow Black\nGreen Yellow Yellow Black Black Black Blue Black\nYellow Yellow Green Black Blue Blue Yellow Black\n\nOutput:\nBlack Yellow Orange Black Yellow Black Gray Black\nBlack Orange Black Orange Black Black Yellow Black\nBlack Yellow Black Orange Black Black Black Gray\nYellow Black Black Black Gray Black Black Yellow\nBlack Black Black Orange Yellow Gray Yellow Black\nBlack Black Black Black Yellow Black Gray Black\nYellow Black Black Black Black Gray Black Black\nOrange Yellow Black Black Yellow Black Yellow Black\nOrange Yellow Yellow Black Black Black Gray Black\nYellow Yellow Orange Black Gray Gray Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Green Black Black Blue Blue Yellow Black Black\nBlack Green Green Yellow Green Black Black Black Black Black\nYellow Black Yellow Black Yellow Black Blue Black Blue Blue\nBlack Green Black Green Green Blue Black Blue Black Black\nBlack Black Yellow Green Green Black Black Yellow Yellow Blue\nGreen Black Black Yellow Black Blue Black Black Black Black\nYellow Yellow Black Yellow Black Yellow Black Yellow Yellow Black\nBlack Black Green Green Yellow Blue Black Black Yellow Black\nGreen Black Green Black Black Blue Yellow Yellow Black Black\nBlack Black Yellow Green Black Black Black 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 Orange Orange Black Black Gray Gray Yellow Black Black\nBlack Orange Orange Yellow Orange Black Black Black Black Black\nYellow Black Yellow Black Yellow Black Gray Black Gray Gray\nBlack Orange Black Orange Orange Gray Black Gray Black Black\nBlack Black Yellow Orange Orange Black Black Yellow Yellow Gray\nOrange Black Black Yellow Black Gray Black Black Black Black\nYellow Yellow Black Yellow Black Yellow Black Yellow Yellow Black\nBlack Black Orange Orange Yellow Gray Black Black Yellow Black\nOrange Black Orange Black Black Gray Yellow Yellow Black Black\nBlack Black Yellow Orange Black Black Black 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 Red Black Black Black Black Black Black\nBlack Black Yellow Black Orange Black Black Black Brown\nBlack Orange Black Purple Black Black Black Black Black\nBlack Black Blue Green Yellow Purple Black Red Orange\nBlack Green Orange Purple Orange Black Pink Black Black\nBlack Black Black Green Black Black Black Black Orange\nPink Black Black Black Black Pink Black Red Purple\n\nOutput:\nPink Black Black Black Black Black Black Pink Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Green Orange Black Black Black Orange Black Pink\nBlack Black Blue Yellow Purple Black Yellow Purple Black\nBlack Orange Black Orange Black Pink Black Black Black\nBlack Black Yellow Black Black Black Orange Black Black\nGray Black Red Black Pink Black Black Black Black\n\n\nExample 2\nInput:\nBrown Orange Pink Brown Blue Green\nBlack Black Gray Black Brown Black\nBlack Black Black Black Red Black\nBrown Green Purple Black Black Black\nRed Black Blue Black Black Blue\nBlack Orange Black Yellow Gray Purple\nRed Pink Blue Black Red Black\nBlack Purple Purple Black Purple Pink\nBlack Brown Blue Black Black Pink\n\nOutput:\nBlack Brown Blue Black Black Black Black Black Pink\nBlack Purple Purple Black Black Blue Black Purple Pink\nRed Pink Blue Yellow Gray Purple Black Red Black\nBlack Orange Black Black Red Black Yellow Gray Purple\nRed Black Blue Black Purple Pink Black Black Blue\nBrown Green Purple Black Black Pink Black Black Black\n\n\nExample 3\nInput:\nGray Gray Black Orange Black Brown\nPink Brown Brown Black Black Gray\nBlack Black Brown Black Black Black\nBlack Purple Black Black Black Black\nBlack Green Black Blue Black Gray\nBlack Yellow Gray Black Yellow Blue\nBlack Black Orange Black Blue Black\nBlack Black Black Black Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Brown Brown\nBlack Black Orange Black Black Black Black Blue Black\nBlack Yellow Gray Blue Black Gray Black Yellow Blue\nBlack Green Black Black Yellow Blue Blue Black Gray\nBlack Purple Black Black Blue Black Black Black Black\nBlack Black Brown Black Brown Brown Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Brown Yellow Black Gray Black\nGray Pink Purple Red Purple Red Yellow Black\nBlack Black Black Black Black Black Black Pink\nBlue Yellow Purple Purple Yellow Black Orange Black\nBlack Purple Brown Black Black Black Yellow Brown\nBlack Black Black Black Blue Black Brown Black\nBlack Orange Black Green Black Orange Orange Black\nGray Black Blue Red Black Blue Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Blue Red Yellow Black Gray Black Black Blue Black Gray\nBlack Orange Black Green Purple Red Yellow Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Pink Blue Black Brown Black\nBlack Purple Brown Black Yellow Black Orange Black Black Black Yellow Brown\nBlue Yellow Purple Purple Black Black Yellow Brown Yellow Black Orange Black\nBlack Black Black Black Blue Black Brown Black Black Black Black Pink\nGray Pink Purple Red Black Orange Orange Black Purple Red Yellow Black\nBlack Black Black Brown Black Blue Black Gray Yellow Black Gray 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Green Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Green Green Green Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Green Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Pink Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nOrange Orange Orange Orange 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 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 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 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 Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green 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 Green Green Green 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 Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Pink Pink Pink 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 Pink 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 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 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 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 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 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 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 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 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 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 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 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 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 Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Pink Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Pink Pink Pink Pink Pink Gray Gray Red Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Pink Pink Pink Gray Gray Red Red Red Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Pink Gray Pink Gray Gray Red Red Red Red Red Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Gray Green Gray Gray Red Red Red Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Pink Gray Green Green Green Gray Gray Red Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 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 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 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 Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Pink Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Green Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Green Green Green Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green 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 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 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 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 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 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 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 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 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 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 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 Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Yellow Pink Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Orange Orange Pink Pink Pink Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Orange Orange Pink Pink Pink Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Yellow Pink Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow 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 Orange Yellow Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Pink Pink Pink Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Pink Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Pink Pink Pink Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Yellow Pink 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\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\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Gray Gray Gray Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Red Red Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Gray Gray Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Gray Gray Gray Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Red Red Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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:\nYellow Black Black Black Yellow Black Yellow Yellow Black Black Yellow Black Black Black Black Black Yellow Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Pink Pink Red Yellow Black Black Yellow Black\nYellow Black Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Black Black Yellow Yellow Yellow Black Black Yellow Black Pink Red Black Black Green Black Yellow Black Black\nYellow Black Black Black Black Pink Red Yellow Red Black Yellow Yellow Red Green Pink Red Black Black Yellow Black\nBlack Yellow Yellow Black Yellow Blue Yellow Yellow Blue Black Black Black Black Pink Black Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Black Red Red Yellow Yellow Green Black Yellow Black Yellow Yellow Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Black Green Yellow Green Blue Black Yellow Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Black Yellow Yellow Black Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nBlack Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Pink Yellow Black Yellow Yellow Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Yellow Black Green Blue Red Black Black Black Black Yellow Black Yellow\nYellow Yellow Black Yellow Yellow Black Yellow Yellow Black Black Yellow Green Yellow Black Black Black Yellow Black Black Yellow\nBlack Black Black Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Yellow\nYellow Black Black Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow\nBlack Black Black Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Black Black Yellow\nYellow Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow\nYellow Black Yellow Black Black Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nRed Black Black Black Red Black Red Red Black Black Red Black Black Black Black Black Red Black Black Red\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red Red Red Black Black Red Black\nRed Black Red Black Black Black Black Red Black Red Red Red Red Black Black Red Red Red Red Black\nBlack Red Black Black Red Red Red Black Black Red Black Red Red Black Black Red Black Red Black Black\nRed Black Black Black Black Red Red Red Red Black Red Red Red Red Red Red Black Black Red Black\nBlack Red Red Black Red Red Red Red Red Black Black Black Black Red Black Black Red Red Red Red\nBlack Red Red Black Red Red Red Red Red Black Red Black Red Red Black Black Black Red Black Red\nBlack Red Red Black Black Red Red Red Red Black Red Red Black Black Red Black Black Red Black Black\nBlack Black Red Red Black Red Red Black Red Black Red Black Red Red Red Black Black Red Red Red\nBlack Black Red Black Black Red Red Red Red Red Black Black Red Red Black Black Red Red Black Black\nYellow Black Red Red Red Red Black Black Red Red Red Red Red Red Black Red Red Black Red Black\nBlack Black Red Black Black Black Black Black Red Black Red Red Red Black Black Black Black Red Black Red\nRed Red Black Red Red Black Red Red Black Black Red Red Red Black Black Black Red Black Black Red\nBlack Black Black Black Red Black Black Red Red Red Red Red Red Red Black Black Black Black Red Red\nBlack Red Red Red Red Red Black Black Black Red Red Red Red Black Black Red Black Red Black Black\nBlack Black Black Black Red Red Black Red Red Red Red Black Black Black Red Red Red Black Black Red\nYellow Black Black Red Black Black Black Black Red Red Black Black Red Red Red Black Red Red Black Red\nBlack Black Black Black Red Red Red Black Red Red Black Red Black Red Black Red Red Black Black Red\nYellow Black Black Black Red Red Black Black Red Red Red Red Red Red Red Black Black Black Black Red\nYellow Black Yellow Black Black Red Red Red Black Black Red Red Black Black Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Blue Blue Blue Black Black Blue Blue Black Blue Blue Black Black Black Black Blue\nBlue Black Black Black Black Blue Green Green Black Black Blue Black Blue Blue Blue Black Blue Blue Black Black\nBlack Black Blue Blue Black Red Pink Yellow Blue Blue Blue Black Black Black Blue Blue Blue Black Black Blue\nBlue Black Black Black Blue Blue Blue Black Blue Blue Black Black Black Black Blue Black Black Blue Blue Blue\nBlack Black Blue Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Black Blue Black Black Black\nBlue Blue Black Black Black Blue Black Blue Blue Blue Black Blue Blue Blue Black Blue Black Black Black Blue\nBlue Blue Blue Black Black Black Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue\nBlue Blue Black Black Black Blue Black Blue Black Blue Blue Blue Blue Black Blue Blue Black Black Blue Black\nBlue Black Black Black Blue Blue Blue Black Blue Black Blue Black Black Black Blue Black Black Blue Blue Blue\nBlack Black Blue Black Blue Black Blue Black Blue Black Black Blue Blue Blue Black Blue Black Blue Blue Black\nBlack Blue Blue Black Black Blue Black Black Black Black Blue Blue Black Black Blue Black Blue Black Blue Blue\nBlack Blue Blue Black Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Black Black Black Black Blue\nBlue Blue Blue Black Blue Blue Black Blue Black Black Blue Blue Black Black Black Blue Black Blue Blue Blue\nBlack Blue Black Black Blue Black Blue Black Blue Black Black Blue Black Blue Black Black Blue Black Blue Black\nBlack Black Blue Black Black Blue Black Black Blue Blue Black Blue Blue Black Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Black Blue Blue Black Blue Blue Blue Black Black Black Blue Black Black\nBlack Blue Blue Blue Black Black Black Black Blue Blue Black Black Blue Black Blue Blue Black Black Black Blue\nBlue Blue Black Black Black Black Black Blue Black Blue Blue Black Black Blue Blue Black Black Blue Blue Blue\nBlue Black Blue Blue Blue Blue Black Blue Black Blue Blue Blue Black Black Black Black Blue Black Black Blue\nBlue Blue Black Black Blue Blue Black Blue Black Black Blue Black Black Blue Black Blue Blue Black Blue Blue\n\nOutput:\nBlack Red Black Black Black Blue Blue Blue Black Black Blue Blue Black Blue Blue Black Black Black Black Blue\nRed Black Black Black Black Blue Green Green Black Black Blue Black Blue Blue Blue Black Blue Blue Black Black\nBlack Black Blue Blue Black Red Pink Yellow Blue Blue Blue Black Black Black Blue Blue Blue Black Black Blue\nBlue Black Black Black Blue Blue Blue Black Blue Blue Black Black Black Black Blue Black Black Blue Blue Blue\nBlack Black Blue Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Black Blue Black Black Black\nBlue Blue Black Black Black Blue Black Blue Blue Blue Black Blue Blue Blue Black Blue Black Black Black Blue\nBlue Blue Blue Black Black Black Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue\nBlue Blue Black Black Black Blue Black Blue Black Blue Blue Blue Blue Black Blue Blue Black Black Blue Black\nBlue Black Black Black Blue Blue Blue Black Blue Black Blue Black Black Black Blue Black Black Blue Blue Blue\nBlack Black Blue Black Blue Black Blue Black Blue Black Black Blue Blue Blue Black Blue Black Blue Blue Black\nBlack Blue Blue Black Black Blue Black Black Black Black Blue Blue Black Black Blue Black Blue Black Blue Blue\nBlack Blue Blue Black Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Black Black Black Black Blue\nBlue Blue Blue Black Blue Blue Black Blue Black Black Blue Blue Black Black Black Blue Black Blue Blue Blue\nBlack Blue Black Black Blue Black Blue Black Blue Black Black Blue Black Blue Black Black Blue Black Blue Black\nBlack Black Blue Black Black Blue Black Black Blue Blue Black Blue Blue Black Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Black Blue Blue Black Blue Blue Blue Black Black Black Blue Black Black\nBlack Blue Blue Blue Black Black Black Black Blue Blue Black Black Blue Black Blue Blue Black Black Black Blue\nBlue Blue Black Black Black Black Black Blue Black Blue Blue Black Black Blue Blue Black Black Blue Blue Blue\nBlue Black Blue Blue Blue Blue Black Blue Black Blue Blue Blue Black Black Black Black Blue Black Black Blue\nBlue Blue Black Black Blue Blue Black Blue Black Black Blue Black Black Blue Black Blue Blue Black Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Black Black Black Black Black Blue Blue Blue Black Black Blue Black Blue Blue Blue Black Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Blue Black Blue Blue Black Black Blue\nBlack Blue Black Black Black Blue Black Blue Blue Black Green Green Red Blue Black Blue Blue Blue Black Blue\nBlack Blue Black Black Blue Blue Blue Black Blue Blue Yellow Blue Blue Blue Black Blue Blue Black Black Black\nBlack Blue Black Black Black Blue Black Black Blue Pink Pink Black Blue Green Blue Blue Black Blue Black Blue\nBlack Blue Black Black Black Black Black Blue Black Blue Yellow Yellow Blue Blue Black Blue Black Blue Black Blue\nBlue Black Blue Blue Blue Black Blue Black Blue Black Black Pink Blue Black Blue Black Blue Black Black Blue\nBlack Blue Blue Black Black Black Black Blue Black Black Black Black Blue Black Black Blue Black Black Blue Blue\nBlack Black Blue Black Black Black Black Black Black Blue Black Blue Black Blue Blue Black Blue Blue Black Black\nBlack Blue Blue Black Black Black Blue Black Black Black Black Blue Black Black Blue Black Black Blue Black Blue\nBlue Black Black Blue Blue Blue Black Blue Black Black Blue Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Black Red Red Red Blue Blue Blue\nBlack Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black Blue Yellow Black Black Red Blue Blue\nBlue Blue Black Black Black Blue Black Blue Blue Black Black Black Green Red Green Red Black Red Black Blue\nBlack Black Blue Blue Black Blue Blue Blue Blue Blue Blue Black Red Blue Red Red Green Pink Blue Blue\nBlack Blue Blue Blue Black Black Blue Black Blue Black Blue Yellow Pink Blue Black Green Black Blue Blue Black\nBlack Blue Black Black Blue Black Blue Black Blue Black Black Blue Blue Red Blue Blue Blue Black Black Blue\nBlack Blue Black Black Black Black Blue Blue Blue Blue Blue Black Blue Red Blue Blue Blue Black Blue Blue\nBlack Black Black Blue Blue Black Black Black Blue Black Blue Black Blue Black Black Blue Blue Blue Black Black\n\nOutput:\nRed Red Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red\nBlack Red Black Black Black Black Black Red Red Red Black Black Red Black Red Red Red Black Red Red\nBlack Red Red Red Red Red Red Black Red Black Red Black Black Red Black Red Red Black Black Red\nBlack Red Black Black Black Red Black Red Red Black Red Red Red Red Black Red Red Red Black Red\nBlack Red Black Black Red Red Red Black Red Red Red Red Red Red Black Red Red Black Black Black\nBlack Red Black Black Black Red Black Black Red Red Red Black Red Red Red Red Black Red Black Red\nBlack Red Black Black Black Black Black Red Black Red Red Red Red Red Black Red Black Red Black Red\nRed Black Red Red Red Black Red Black Red Black Black Red Red Black Red Black Red Black Black Red\nBlack Red Red Black Black Black Black Red Black Black Black Black Red Black Black Red Black Black Red Red\nBlack Black Red Black Black Black Black Black Black Blue Black Red Black Red Red Black Red Red Black Black\nBlack Red Red Black Black Black Red Black Black Black Black Red Black Black Red Black Black Red Black Red\nRed Black Black Red Red Red Black Red Black Black Red Black Black Black Black Black Black Black Red Red\nRed Red Black Red Red Red Black Red Red Red Red Black Red Black Red Red Red Red Red Red\nBlack Red Red Black Black Red Red Red Red Red Black Black Black Red Red Black Black Red Red Red\nRed Red Black Black Black Red Black Red Red Black Black Black Red Red Red Red Black Red Black Red\nBlack Black Red Red Black Red Red Red Red Red Red Black Red Red Red Red Red Red Red Red\nBlack Red Red Red Black Black Red Black Red Black Red Red Red Red Black Red Black Red Red Black\nBlack Red Black Black Red Black Red Black Red Black Black Red Red Red Red Red Red Black Black Red\nBlack Red Black Black Black Black Red Red Red Red Red Black Red Red Red Red Red Black Red Red\nBlack Black Black Blue Blue Black Black Black Red Black Red Black Red Black Black Red Red Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Black Black Pink Black Pink Black Black Black Pink Black Pink Pink Black Black Pink Black Black\nPink Black Pink Pink Pink Black Pink Pink Black Pink Black Pink Black Pink Pink Black Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black Pink Black Pink Pink Pink\nBlack Pink Pink Black Black Black Pink Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Black\nBlack Pink Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Pink Pink Black Black Pink\nBlack Pink Pink Pink Black Pink Pink Pink Black Black Pink Black Pink Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Pink Black Black Black Black\nPink Black Pink Pink Pink Black Black Pink Pink Pink Black Pink Black Pink Black Black Pink Pink Black Black\nBlack Pink Pink Pink Black Pink Black Black Black Pink Pink Pink Black Black Pink Pink Pink Pink Black Pink\nBlack Black Black Pink Pink Pink Black Pink Black Black Pink Pink Black Pink Black Black Pink Pink Pink Black\nBlack Black Black Pink Black Pink Pink Black Pink Blue Red Red Red Pink Black Pink Black Pink Black Pink\nPink Pink Black Pink Black Pink Black Black Black Blue Black Black Yellow Black Pink Pink Black Pink Black Black\nBlack Black Black Black Black Black Pink Pink Green Yellow Black Pink Red Black Pink Pink Black Black Pink Black\nBlack Pink Pink Black Black Pink Black Pink Pink Pink Red Red Pink Pink Black Pink Black Pink Pink Pink\nPink Black Black Pink Black Pink Black Black Pink Black Blue Black Black Black Pink Pink Pink Pink Black Pink\nPink Black Black Black Black Pink Black Pink Black Pink Black Black Pink Pink Pink Pink Black Pink Pink Black\nPink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Black Pink Black Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Black Pink Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Red Black Black Red Black Red Black Black Black Pink Black Pink Pink Black Black Red Black Black\nRed Black Red Red Red Black Red Red Black Red Black Pink Black Pink Pink Black Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Red Red Black Black Black Red Red Red Red Black Black Black Red Black Red Red Red\nBlack Red Red Black Black Black Red Black Black Black Black Black Red Red Red Red Black Black Red Black\nBlack Red Black Red Red Red Red Red Black Black Black Black Black Black Black Red Red Black Black Red\nBlack Red Red Red Black Red Red Red Black Black Red Black Red Black Red Red Red Black Black Black\nRed Red Red Red Red Red Black Red Black Red Red Red Red Red Black Red Black Black Black Black\nRed Black Red Red Red Black Black Red Red Red Black Red Black Red Black Black Red Red Black Black\nBlack Red Red Red Black Red Black Black Black Red Red Red Black Black Red Red Red Red Black Red\nBlack Black Black Red Red Red Black Red Black Black Red Red Black Red Black Black Red Red Red Black\nBlack Black Black Red Black Red Red Black Red Red Red Red Red Red Black Red Black Red Black Red\nPink Pink Black Red Black Red Black Black Black Red Black Black Red Black Red Red Black Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Red Red Black Red Red Black Black Red Black\nBlack Red Red Black Black Red Black Red Red Red Red Red Red Red Black Red Black Red Red Red\nRed Black Black Red Black Red Black Black Red Black Red Black Black Black Red Red Red Red Black Red\nRed Black Black Black Black Red Black Red Black Red Black Black Red Red Red Red Black Red Red Black\nRed Red Black Red Red Black Red Red Red Red Red Black Red Black Black Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Red Red Red Black Red Black Black Black Black Pink Pink Pink\nRed Red Red Red Red Black Red Red Black Red Black Red Red Red Black Pink Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Yellow Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Black Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Black Black Yellow\nYellow Black Yellow Yellow Yellow Black Yellow\nYellow Black Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Blue Blue Blue Blue Blue Black Black Pink\nPink Blue Blue Blue Blue Blue Blue Black Pink\nPink Blue Blue Blue Blue Blue Blue Blue Pink\nPink Black Blue Blue Blue Black Blue Black Pink\nPink Blue Blue Blue Blue Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Black Pink\nPink Blue Blue Blue Blue Blue Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Blue Black Blue Black Black Pink\nPink Black Blue Blue Blue Blue Blue Black Pink\nPink Blue Blue Blue Black Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Blue Pink\nPink Blue Blue Blue Black Blue Blue Blue Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Black Purple\nPurple Purple Black Black Purple\nPurple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple\nPurple Purple Black Black Purple\nPurple Purple Purple Black Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple\nPurple Black Black Blue Black Purple\nPurple Black Blue Blue Blue Purple\nPurple Orange Blue Black Black Purple\nPurple Red Orange Black Black Purple\nPurple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple\nPurple Black Blue Black Black Purple\nPurple Blue Blue Black Black Purple\nPurple Black Blue Blue Orange Purple\nPurple Black Black Orange Red 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 Yellow Yellow\nYellow Black Black Yellow Black\nYellow Yellow Yellow Black Yellow\nBlack Yellow Yellow Black Yellow\nBlack Black Black Black Black\nBlack Yellow Yellow Yellow Black\nYellow Yellow Black Black Yellow\nPink Pink Pink Pink Pink\nYellow Black Yellow Black Yellow\nYellow Black Yellow Yellow Yellow\nYellow Yellow Black Yellow Black\nYellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Black Yellow\nYellow Yellow Yellow Black Yellow\n\nOutput:\nBlack Black Black Black Orange\nOrange Black Black Orange Black\nOrange Orange Black Black Black\nBlack Orange Black Black Black\nBlack Black Black Black Black\nBlack Orange Orange Black Black\nOrange Orange Black Black Orange\n\n\nExample 2\nInput:\nYellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow\nYellow Black Black Yellow Yellow Yellow Black\nYellow Black Yellow Yellow Yellow Black Black\nPink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow\nYellow Black Yellow Black Black Yellow Yellow\n\nOutput:\nOrange Black Black Black Black Black Orange\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Orange Orange Black\nOrange Black Orange Black Black Black Black\n\n\nExample 3\nInput:\nYellow Black Black Black Black Yellow Yellow Black\nBlack Yellow Black Yellow Black Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Black Black Black Black Yellow\nPink Pink Pink Pink Pink Pink Pink Pink\nYellow Black Yellow Black Black Yellow Yellow Black\nYellow Black Black Black Black Yellow Yellow Black\nYellow Black Yellow Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Black\n\nOutput:\nOrange Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Orange Orange Black\nOrange Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Yellow Black Yellow Black\nYellow Black Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Black\nYellow Black Black Yellow Black Black\nBlack Yellow Black Yellow Yellow Black\nYellow Yellow Black Yellow Yellow Black\nPink Pink Pink Pink Pink Pink\nBlack Black Yellow Black Yellow Yellow\nYellow Yellow Black Black Black Black\nYellow Black Black Yellow Black Yellow\nYellow Black Black Yellow Yellow Black\nBlack Black Black Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Orange Black Orange Black\nOrange Black Black Black Black Black\nBlack Black Black Black Black Black\nOrange Black Black Orange Black Black\nBlack Black Black Orange Black Black\nOrange Black Black Orange Orange Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black\nBrown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\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 Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black\nPink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\n\nOutput:\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black\nPink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\n\nOutput:\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\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 Red Red Black Black\nBlack Black Black Black Red Red Black Black\nPurple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple 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 Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\n\nExample 2\nInput:\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Brown Black Black Black Brown Black Black Black Black Black Black\nBlack Brown Brown Black 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 Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\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 Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Pink\nBlack Yellow Black Black Blue Blue Black Black Yellow Pink\nYellow Black Blue Blue Blue Blue Blue Blue Black Yellow\nYellow Black Blue Black Green Black Black Blue Black Yellow\nYellow Black Blue Black Green Green Black Blue Black Yellow\nYellow Black Blue Black Green Green Black Blue Black Yellow\nYellow Black Blue Black Black Black Black Blue Black Yellow\nYellow Black Blue Blue Blue Blue Blue Blue Black Yellow\nBlack Yellow Black Black Black Black Black Black Yellow Pink\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Black Black Blue Blue Black Black Yellow\nYellow Black Blue Blue Blue Blue Blue Blue Yellow\nYellow Black Blue Black Green Green Black Blue Yellow\nYellow Black Blue Black Green Green Black Blue Yellow\nYellow Black Blue Black Green Green Black Blue Yellow\nYellow Black Blue Black Black Black Black Blue Yellow\nYellow Black Blue Blue Blue Blue Blue Blue Yellow\nPink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink\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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Black Black Blue Blue Black Black Yellow\nYellow Black Blue Blue Blue Blue Blue Blue Yellow\nYellow Black Blue Black Green Green Black Blue Yellow\nYellow Black Blue Black Green Green Black Blue Yellow\nYellow Black Blue Black Green Green Black Blue Yellow\nYellow Black Blue Black Black Black Black Blue Yellow\nYellow Black Blue Blue Blue Blue Blue Blue Yellow\nPink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink\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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Yellow Yellow Black Black Pink Pink\nPink Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Pink\nPink Black Yellow Black Black Blue Blue Black Black Yellow Pink\nBlack Yellow Black Blue Blue Blue Blue Blue Blue Black Yellow\nBlack Yellow Black Blue Black Green Black Black Blue Black Yellow\nBlack Yellow Black Blue Black Green Green Black Blue Black Yellow\nBlack Yellow Black Blue Black Green Green Black Blue Black Yellow\nBlack Yellow Black Blue Black Black Black Black Blue Black Yellow\nBlack Yellow Black Blue Blue Blue Blue Blue Blue Black Yellow\nPink Black Yellow Black Black Black Black Black Black Yellow Pink\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Yellow Brown Brown Yellow Black Black Black\nBlack Brown Brown Blue Brown Blue Black Black\nBlack Yellow Brown Blue Blue Brown Yellow Black\nBlack Brown Brown Brown Blue Blue Brown Black\nBlack Black Brown Brown Brown Brown Brown Black\nBlack Black Black Brown Yellow Brown Yellow Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Yellow Brown Yellow Brown Black Black Black\nBlack Brown Brown Brown Brown Brown Black Black\nBlack Brown Blue Blue Brown Brown Brown Black\nBlack Yellow Brown Blue Blue Brown Yellow Black\nBlack Black Blue Brown Blue Brown Brown Black\nBlack Black Black Yellow Brown Brown Yellow Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black\nBlack Pink Green Green Pink Pink Pink Pink Black\nBlack Black Green Green Gray Gray Green Green Black\nBlack Pink Green Green Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Green Green Pink Black\nBlack Green Green Gray Gray Green Green Black Black\nBlack Pink Pink Pink Pink Green Green Pink Black\nBlack Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Gray Gray Black\nBlack Gray Gray Brown Red Brown Gray Gray Black\nBlack Red Red Red Red Red Red Red Black\nBlack Red Brown Red Black Red Brown Red Black\nBlack Gray Brown Brown Black Brown Brown Gray Black\nBlack Gray Gray Brown Brown Brown Gray Gray Black\nBlack Black Brown Brown Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Brown Brown Black Black\nBlack Gray Gray Brown Brown Brown Gray Gray Black\nBlack Gray Brown Brown Black Brown Brown Gray Black\nBlack Red Brown Red Black Red Brown Red Black\nBlack Red Red Red Red Red Red Red Black\nBlack Gray Gray Brown Red Brown Gray Gray Black\nBlack Gray Gray Black Black Black Gray Gray 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 Gray Yellow Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black\nBlack Yellow Yellow Gray Gray Gray Gray Gray Black\nBlack Yellow Yellow Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Black Black Black Black\nBlack Gray Yellow Gray Gray 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 Gray Gray Yellow Gray Black\nBlack Black Black Black Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Yellow Yellow Black\nBlack Gray Gray Gray Gray Gray Yellow Yellow Black\nBlack Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Yellow Gray 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 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\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\nPurple Purple Purple Purple Purple Purple 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 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\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\nPurple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nPurple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange 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\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 Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nGray Gray Gray Gray Gray Gray 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\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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Pink Pink Pink Pink Pink\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nOrange Orange 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Orange\n\n\nExample 2\nInput:\nGreen Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGreen Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGreen Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGreen Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGreen Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGreen Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGreen Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGreen Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGreen Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black\nBlue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black\nBlue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black\nBlue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black\nBlue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black 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 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Purple Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Orange Black Black Black Black Orange Black Black Black Black Purple Black Black Black Purple Black Black Black Black\nOrange Black Black Orange Black Black Black Pink Orange Black Black Black Black Black Black Purple Black Purple Black Black Black Black Black\nOrange Orange Orange Black Black Black Pink Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Pink Orange Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black\nPink Black Black Orange Pink Orange Black Black Black Black Black Black Green Black Black Black Black Black Black Black Green Black Black\nBlack Pink Black Pink Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Orange\nGray Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Orange Black\nBlack Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Orange Black Black\nBlack Black Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Orange Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Purple Black Black Black Black Black Black Black Black Black Purple Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Yellow Black Black Orange Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Yellow Orange Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Orange Black Black Black Black Black Orange Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Orange Black Black Black Orange Black Brown Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Orange Black Orange Black Brown Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Brown Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Brown Black Brown Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Brown Black Black Black Black Blue Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black Black Blue Black Blue\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Gray Black Purple Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Gray Black Purple Black Black Black Gray\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Purple Black Gray Black\nBlack Black Green Black Red Black Black Black Black Blue Black Black Black Black Red Black Black Gray Black Gray Black Black\nBlack Green Black Black Black Red Black Black Black Black Blue Black Black Red Black Black Black Black Blue Black Purple Black\nBlack Black Black Black Black Black Red Black Black Black Black Blue Red Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Red Blue Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Red Black Black Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Yellow Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Brown Black Black Black Yellow Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Orange Brown Black Black Black Yellow Orange Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Orange Brown Black Black Orange Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Orange Brown Orange Brown Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Gray Black Purple Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\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 Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Pink Brown Pink Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Brown Black Black Black Black Black Gray Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Brown Black Black Black Gray Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Brown Black Gray Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Pink Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Blue Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Blue Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Pink Pink Blue Black Pink Black Black Black Pink Black Black Pink Black Black Black Black Black Black Black Black Black Pink\nBlack Pink Black Blue Pink Pink Black Black Black Pink Black Black Pink Black Pink Black Black Black Black Black Black Black Pink Black\nBlue Black Blue Black Orange Pink Black Black Pink Black Black Pink Black Black Black Pink Black Black Black Black Black Pink Black Black\nBlack Orange Black Orange Black Black Pink Pink Black Black Pink Black Black Black Black Black Pink Black Black Black Pink Black Black Black\nBlack Black Black Black Pink Black Pink Pink Black Pink Black Black Black Black Black Black Black Pink Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 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\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Black Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Green Green Green Green Green\nGreen Black Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green Green\nGreen Black Green Green Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Black Green Green Green Green Green Green Green\nGreen Green Green Green Black Green Green Green Green Green Green\nGreen Green Green Green Green Black Green Green Green Green Green\nGreen Green Green Green Green Green Black Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\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 Black\nGreen Green Green Green Green Green Green Black Green\nBlack Green Green Green Green Green Black Green Green\nGreen Black Green Green Green Black Green Green Green\nGreen Green Black Green Black Green Green Green Green\nGreen Green Green Black Green Green Green Green Green\nGreen Green Black Green Black Green Green Green Green\nGreen Black Green Green Green Black Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\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 Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Gray Black Gray Black Black Black Black Black\nBlack Green Gray Black Gray Black Black Black Black Black\nGray Black Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Black Gray Black Gray Black Black Black Black Black\nRed Red Black Red Red Orange Black Black Orange Black\nRed Black Black Black Black Orange Orange Black Orange Orange\nRed Black Black Black Red Black Black Orange Black Orange\nBlack Black Black Red Black Orange Orange Black Green Orange\nRed Red Black Black Red Black Black Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black Black\nBlack Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Red Red Orange Black Black Orange Black\nBlack Black Black Black Black Orange Orange Black Orange Orange\nBlack Black Black Black Red Black Black Orange Black Orange\nBlack Black Black Red Black Orange Orange Black Green Orange\nBlack Black Black Black Red Black Black Black Black Green\n\n\nExample 2\nInput:\nGreen Gray Gray Black Gray Black Black Black Black Black\nBlack Green Black Gray Gray Black Black Black Black Black\nGray Black Green Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Black Gray Gray Black Black Black Black Black\nBlack Black Red Black Black Orange Orange Orange Black Black\nRed Red Red Black Red Black Orange Black Black Black\nBlack Red Red Black Red Orange Orange Orange Orange Black\nRed Black Red Red Red Black Black Black Orange Black\nBlack Black Black Red Red Orange Black Orange Black Orange\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 Gray Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Red Black Black Orange Orange Orange Black Black\nBlack Black Red Black Red Black Orange Black Black Black\nBlack Black Red Black Red Orange Orange Orange Orange Black\nBlack Black Red Red Red Black Black Black Orange Black\nBlack Black Black Red Red Orange Black Orange Black Orange\n\n\nExample 3\nInput:\nGray Gray Black Black Gray Black Black Black Black Black\nGray Green Gray Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nGray Gray Gray Green Gray Black Black Black Black Black\nGray Gray Gray Black Green Black Black Black Black Black\nRed Black Red Red Red Green Orange Black Black Orange\nRed Red Black Red Black Orange Orange Orange Black Orange\nRed Black Red Red Red Black Orange Green Black Orange\nBlack Red Red Black Black Orange Orange Orange Orange Orange\nBlack Black Red Red Black Orange Orange Black Black Green\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Red Green Orange Black Black Orange\nBlack Black Black Black Black Orange Orange Orange Black Orange\nBlack Black Black Black Red Black Orange Green Black Orange\nBlack Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Orange Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Gray Black Black Black Black Black\nGray Gray Black Gray Black Black Black Black Black Black\nBlack Gray Gray Black Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Red Red Black Orange Black Black Black Black\nBlack Red Red Black Black Black Green Black Orange Orange\nBlack Red Red Red Black Orange Black Green Black Black\nRed Red Black Red Red Black Orange Orange Green Black\nRed Black Red Black Red Black Black Black Black Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Black Black Gray Black Black Black Black Black\nGray Gray Black Gray Black Black Black Black Black Black\nBlack Gray Gray Black Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Red Red Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Pink Black Gray Black Black Black Black\nBlack Purple Brown Black Pink Gray Black Black Black Black\nGreen Black Black Orange Green Gray Black Black Black Black\nOrange Black Black Black Black Gray Black Black Black Black\nBlack Orange Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\n\nOutput:\nBlack Black Black Pink Black Gray Pink Black Black Black\nBlack Purple Brown Black Pink Pink Black Brown Purple Black\nGreen Black Black Orange Green Green Orange Black Black Green\nOrange Black Black Black Black Gray Black Black Black Orange\nBlack Orange Black Black Black Gray Black Black Orange Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\n\n\nExample 2\nInput:\nRed Black Pink Black Black Gray Black Black Black Black\nBlack Black Black Black Red Gray Black Black Black Black\nBlack Brown Black Black Black Gray Black Black Black Black\nBlack Blue Black Black Brown Gray Black Black Black Black\nBrown Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\n\nOutput:\nRed Black Pink Black Black Gray Black Pink Black Red\nBlack Black Black Black Red Red Black Black Black Black\nBlack Brown Black Black Black Gray Black Black Brown Black\nBlack Blue Black Black Brown Brown Black Black Blue Black\nBrown Black Black Black Black Gray Black Black Black Brown\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Red Yellow Brown Gray Black Black Black Black\nOrange Green Black Black Black Gray Black Black Black Black\nBlack Blue Black Black Pink Gray Black Black Black Black\nBlack Black Green Orange Black Gray Black Black Black Black\nBlack Black Purple Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\n\nOutput:\nBlack Black Red Yellow Brown Brown Yellow Red Black Black\nOrange Green Black Black Black Gray Black Black Green Orange\nBlack Blue Black Black Pink Pink Black Black Blue Black\nBlack Black Green Orange Black Gray Orange Green Black Black\nBlack Black Purple Black Black Gray Black Purple Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Pink Gray Black Black Black Black\nBlack Gray Black Black Black Gray Black Black Black Black\nPink Black Black Brown Black Gray Black Black Black Black\nBlack Black Black Black Pink Gray Black Black Black Black\nBlack Black Black Brown Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray 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 Pink Pink Black Black Black Black\nBlack Gray Black Black Black Gray Black Black Gray Black\nPink Black Black Brown Black Gray Brown Black Black Pink\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Brown Black Gray Brown Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nPurple Green Yellow Yellow 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Green Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nRed Red Green Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Pink Pink Pink Pink 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\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\nPink Pink Pink Pink Pink 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\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 Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Green Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange 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 Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Gray Black Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Orange Black Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\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 Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Black Black Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Black Black Orange Black Black Black Black\nOrange Orange Orange Orange Orange 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Brown Black Brown Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Brown Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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\nBrown Brown Brown Black Black Brown Brown Brown Black Black Black Black Black\nBrown Black Brown Black Black Brown Black Brown Black Black Black Black Black\nBrown Brown Brown Brown Black Brown Black Black Black Black Black Black Black\nBrown Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBrown Black Brown Brown Brown Brown Black Brown Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBrown Black Brown Black Black Black Black Black Black Black Black Black Black\nBrown 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\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\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Pink Pink Pink Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Black Gray Gray Black Black Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Black Yellow Yellow Yellow Yellow Gray Gray Black Black Black Black Black\nGray Gray Yellow Yellow Yellow Yellow Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Black Black Black Black Gray Gray Black Black Black Black Black\nGray Gray Black Black Black Black Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack 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\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 Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Black Pink Pink Pink Black Black Black Black Black\nBlack Pink Black Pink Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Black Pink Blue Blue Black Black Black\nBlack Pink Black Pink Pink Pink Blue Blue Black Black Black\nBlack Pink Black Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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\nBrown Green Yellow Red\nBrown Green Orange Gray\nPurple Purple Orange Orange\n\nOutput:\nPurple Purple Orange Orange\nBrown Green Orange Gray\nBrown Green Yellow Red\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nBrown Green Yellow Red\nBrown Green Orange Gray\nPurple Purple Orange Orange\n\n\nExample 2\nInput:\nPink Pink Blue Purple Orange\nYellow Pink Blue Brown Purple\nGreen Green Green Yellow Gray\nYellow Gray Brown Orange Gray\nYellow Gray Brown Brown Red\n\nOutput:\nYellow Gray Brown Brown Red\nYellow Gray Brown Orange Gray\nGreen Green Green Yellow Gray\nYellow Pink Blue Brown Purple\nPink Pink Blue Purple Orange\nPink Pink Blue Purple Orange\nYellow Pink Blue Brown Purple\nGreen Green Green Yellow Gray\nYellow Gray Brown Orange Gray\nYellow Gray Brown Brown Red\n\n\nExample 3\nInput:\nPink Gray Yellow Brown Gray\nGray Blue Red Gray Gray\nRed Red Red Gray Blue\nPurple Brown Brown Orange Blue\nOrange Brown Purple Orange Orange\n\nOutput:\nOrange Brown Purple Orange Orange\nPurple Brown Brown Orange Blue\nRed Red Red Gray Blue\nGray Blue Red Gray Gray\nPink Gray Yellow Brown Gray\nPink Gray Yellow Brown Gray\nGray Blue Red Gray Gray\nRed Red Red Gray Blue\nPurple Brown Brown Orange Blue\nOrange Brown Purple Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nRed Pink Blue\nYellow Blue Blue\nPurple Blue Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Blue Pink\nYellow Blue Blue\nRed Pink Blue\nRed Pink Blue\nYellow Blue Blue\nPurple Blue Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Brown Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nOrange Black Black Black Black Pink Black Black\nBlack Black Orange Black Black Black Purple Black\nBlack Brown Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black\n\nOutput:\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black 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\nBlack 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Blue\nBlack Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\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 Orange Orange Orange Black Black Black\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Red Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Pink Black Black Red Black Black Black Black\n\nOutput:\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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\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\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink 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\nOrange Black Black Black Brown 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Brown 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:\nOrange Purple Green\nRed Yellow Gray\nOrange Purple Brown\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n\n\nExample 2\nInput:\nRed Yellow Gray\nBlue Green Gray\nYellow Purple Orange\n\nOutput:\nGreen Green Green\nGreen Green Green\nGreen Green Green\n\n\nExample 3\nInput:\nOrange Yellow Brown\nGray Green Gray\nBlue Pink Purple\n\nOutput:\nGreen Green Green\nGreen Green Green\nGreen Green Green\n\n\nHere is the input grid for the test example:\nInput:\nOrange Green Pink\nRed Gray Pink\nOrange Orange Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black 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 Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Orange Yellow Yellow Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Yellow Yellow Orange Yellow Black Black\nBlack Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Orange Orange Yellow Yellow Orange Yellow Yellow Yellow Yellow Black Black\nBlack Orange Yellow Yellow Yellow Orange Yellow Yellow Orange Orange Black Black\nBlack Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Orange Yellow Yellow Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Orange Yellow Yellow Yellow Yellow Orange Black Black\nBlack Orange Orange Yellow Yellow Orange Orange Black Black\nBlack Orange Yellow Yellow Yellow Yellow Orange Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Orange Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Orange Yellow Yellow Yellow Black Black\nBlack Black Black Orange Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Orange Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow 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 Orange Yellow Yellow Yellow Yellow Orange Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Orange Orange Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Blue Blue Blue Black Black Yellow Yellow Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\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 Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black 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\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow 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 Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow 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 Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 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 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 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 Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue 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 Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Orange Orange Orange Orange Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black\nBlack Black 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 Black\nBlack Black 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 Black\nBlack Black 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 Black\nBlack Black Orange Orange Orange Orange Black Black Black 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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Brown Blue Brown Brown Brown Blue Brown Blue Brown Blue\nBlue Blue Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown\nBrown Brown Blue Brown Blue Blue Blue Blue Blue Brown Blue Brown\nBlue Brown Brown Brown Blue Brown Brown Blue Blue Brown Brown Blue\nBlue Blue Blue Blue Brown Blue Blue Blue Blue Blue Brown Blue\nBlue Brown Blue Brown Blue Blue Blue Brown Brown Blue Blue Brown\nBrown Brown Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Brown Blue Blue Blue Brown Brown Blue Blue Brown Brown Brown\n\nOutput:\nBlue Blue Brown Blue Blue Brown Brown Blue Brown Blue Brown Brown\nBlue Blue Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown\nBrown Brown Blue Brown Blue Blue Blue Blue Blue Brown Blue Blue\nBlue Brown Brown Brown Blue Brown Brown Brown Blue Brown Brown Brown\nBlue Blue Blue Blue Brown Brown Blue Blue Blue Blue Brown Brown\nBlue Brown Blue Brown Blue Blue Blue Blue Brown Blue Blue Blue\nBrown Brown Brown Blue Brown Brown Brown Brown Brown Brown Blue Blue\nBrown Brown Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nGray Gray Gray Pink Pink Pink Gray Gray Pink Pink\nPink Pink Pink Pink Gray Gray Pink Gray Pink Pink\nGray Gray Pink Gray Gray Pink Pink Pink Gray Pink\nGray Pink Pink Gray Pink Pink Gray Pink Pink Pink\nGray Gray Gray Pink Pink Pink Pink Pink Gray Gray\nGray Pink Gray Gray Gray Pink Pink Pink Pink Gray\nGray Gray Gray Pink Gray Pink Gray Pink Gray Pink\n\nOutput:\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink\nPink Pink Pink Pink Gray Gray Pink Gray Pink Pink\nGray Gray Pink Gray Gray Pink Pink Pink Gray Gray\nGray Pink Pink Gray Gray Pink Gray Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Pink Gray Gray\nGray Pink Gray Gray Gray Pink Pink Pink Pink Pink\nGray Pink Gray Gray Gray Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBrown Brown Purple Brown Brown Brown Brown Purple Brown Brown Purple\nBrown Brown Brown Purple Brown Brown Purple Purple Purple Purple Brown\nBrown Brown Purple Brown Brown Brown Brown Brown Brown Brown Purple\nPurple Brown Brown Brown Purple Brown Brown Purple Purple Brown Purple\nPurple Brown Brown Brown Brown Brown Purple Purple Purple Brown Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown\nBrown Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple\n\nOutput:\nBrown Brown Purple Brown Brown Brown Brown Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Brown Purple Purple Purple Purple Purple\nBrown Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Brown Purple Brown Brown Brown Purple Brown Brown\nPurple Purple Brown Brown Brown Brown Purple Purple Purple Brown Brown\nBrown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBrown Yellow Brown Yellow Yellow Brown Brown Yellow Brown\nYellow Brown Brown Brown Yellow Yellow Brown Brown Brown\nBrown Yellow Yellow Brown Brown Yellow Yellow Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Brown Brown\nYellow Brown Brown Brown Yellow Brown Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow\nYellow Yellow Yellow Yellow Yellow Brown Yellow Brown Brown\nYellow Yellow Yellow Brown Yellow Yellow Brown Brown Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Yellow Brown Yellow Yellow Brown Brown Yellow Yellow\nYellow Brown Brown Brown Yellow Yellow Brown Brown Yellow\nBrown Brown Yellow Yellow Brown Yellow Yellow Yellow Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Brown\nYellow Brown Brown Brown Yellow Brown Yellow Yellow Brown\nYellow Yellow Brown Brown Yellow Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Brown Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Brown Yellow Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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\nBlack Black Black 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\nBlack Black Black 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\nBlack Black Black 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\nBlack Black Black 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\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black 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 Pink 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 Pink 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 Pink 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 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 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 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 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 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 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 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 Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black 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 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink 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 Pink 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 Pink 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nPink 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 Black Black Black\nPink 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 Black Black Black\nPink 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 Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nPink Pink Pink 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\nPink Pink Pink 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\nPink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Green\nBlack Black Black Black Black Black Black Black Green Green\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\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 Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\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\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 Brown Brown Black\nBlack Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Brown Brown Black\n\nOutput:\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Brown Brown Gray\nBlack Black Black Black Black Gray Gray Brown Brown Gray\nBlack Black Black Black Black Gray Gray Brown Brown Gray\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\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 Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black 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```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray 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 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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black Orange Black Black Black Orange\nBlack Orange Black Black Black Black Orange Black Black Black Orange Black\nBlack Black Orange Black Black Orange Black Black Black Orange Black Black\nBlack Black Black Orange Orange Black Black Black Orange Black Black Black\nBlack Black Black Orange Orange Black Black Orange Orange Black Black Black\nBlack Black Orange Black Black Orange Orange Black Orange Orange Black Black\nBlack Orange Black Black Black Black Orange Black Black Black Orange Black\nOrange Black Black Black Black Black Black Orange Black Black Black Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Orange Black Black Orange\nBlack Orange Black Black Black Orange Black Black Orange Black\nBlack Black Orange Black Orange Orange Orange Orange Black Black\nBlack Black Black Orange Black Black Orange Black Black Black\nBlack Black Orange Black Orange Black Black Orange Black Black\nBlack Orange Black Black Black Orange Black Black Orange Black\nOrange Black Black Black Black Black Orange Black Black Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black\nBlack Black Gray Black Black Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Black Black Gray Black\nGray Black Black Black Black Black Black Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Black Black Black Black Pink\nBlack Pink Black Black Black Black Black Pink Black\nBlack Black Pink Black Black Black Pink Black Black\nBlack Black Black Pink Black Pink Black Black Black\nBlack Black Black Black Pink Black Pink Black Black\nBlack Black Black Pink Black Pink Black Black Black\nBlack Black Pink Black Black Black Pink Black Black\nBlack Pink Black Black Black Black Black Pink Black\nPink 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\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Blue 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\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 Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Blue 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\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 Pink\nBlack Black Purple Purple Black Black Black Black\nBlack Pink Black Black Black Green Black Black\nGray Green Black Orange Black Black Black Green\nBlack Black Purple Black Black Black Black Black\nOrange Black Black Black Black Pink Black Blue\nBlack Black Black Purple Green Black Pink Black\nOrange Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red\nBlack Black Green Green Black Black Black Black\nBlack Red Black Black Black Brown Black Black\nPink Brown Black Gray Black Black Black Brown\nBlack Black Green Black Black Black Black Black\nGray Black Black Black Black Red Black Yellow\nBlack Black Black Green Brown Black Red Black\nGray Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Red Black Black Blue Black Black Black\nBlue Black Black Blue Gray Black Black Green Black Gray\nBlack Gray Black Black Black Black Black Black Black Purple\nBlack Black Pink Black Black Black Black Black Green Purple\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Gray Brown Black Black Yellow Black Black Black\nBlack Purple Black Brown Orange Black Black Black Black Black\n\nOutput:\nBlack Black Black Purple Black Black Yellow Black Black Black\nYellow Black Black Yellow Pink Black Black Brown Black Pink\nBlack Pink Black Black Black Black Black Black Black Green\nBlack Black Red Black Black Black Black Black Brown Green\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Pink Orange Black Black Blue Black Black Black\nBlack Green Black Orange Gray Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Brown Black Black Red Black Black Black Black\nBlack Black Gray Black Pink Black Black Black Purple\nBlack Blue Black Black Black Brown Gray Black Black\nBlack Black Green Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Blue\nGreen Black Purple Black Black Yellow Black Black Black\n\nOutput:\nBlack Orange Black Black Purple Black Black Black Black\nBlack Black Pink Black Red Black Black Black Green\nBlack Yellow Black Black Black Orange Pink Black Black\nBlack Black Brown Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Yellow\nBrown Black Green Black Black Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Pink Black Black Blue Black Black Pink\nOrange Black Black Black Black Black Gray Black Black\nBlack Purple Pink Black Black Black Black Pink Black\nGray Black Black Purple Green Black Black Black Black\nBlack Black Black Gray Black Black Black Black Red\nBlack Black Black Black Gray Black Black Black Green\nBlack Black Black Black Black Black Brown Black Black\nBlack Orange Black Black Black Black Black Black Black\nBlack Black Yellow Blue 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 Red Black Black Yellow Black Black Red\nGray Black Black Black Black Black Pink Black Black\nBlack Green Red Black Black Black Black Red Black\nPink Black Black Green Brown Black Black Black Black\nBlack Black Black Pink Black Black Black Black Purple\nBlack Black Black Black Pink Black Black Black Brown\nBlack Black Black Black Black Black Orange Black Black\nBlack Gray Black Black Black Black Black Black Black\nBlack Black Blue Yellow 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 Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Black Black Brown\nBlack Black Purple Black Purple Black\nBlack Black Purple Purple Purple Black\nBrown Brown Brown Black Black Purple\nBlack Black Brown Black Brown Black\nBlack Black Brown Brown Brown Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black\nBlack Black Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Orange Black Blue Blue Black Black\nOrange Orange Orange Blue Blue Blue Black Black\nOrange Orange Orange Blue Blue Blue Black Black\nBlack Orange Orange Black Blue Blue Black Black\nBlack Blue Blue Black Orange Orange Black Black\nBlue Blue Blue Orange Orange Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Black Gray Gray Gray Black\nBlack Black Gray Black Black Black Gray Black\nBlack Gray Gray Gray Black Gray Gray Gray\nBlack Gray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray Black\nBlack Black Gray Black Black Black Gray Black\nBlack Gray Gray Gray Black Gray Gray Gray\nBlack Gray Gray Gray Black Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Pink Pink Black\nBlack Pink Pink Black\nBlack 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 Yellow Yellow\nPink Pink Yellow Yellow\nYellow Yellow Pink Pink\nYellow Yellow 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 Green Black\nBlack Black Black Green Black\nBlue Blue Blue Green Pink\nBlack Black Black Black Brown\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 Brown\nBlue Blue Blue Blue Blue Blue Green Pink\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Green Black\nBlue Blue Blue Blue Blue Blue Green Pink\nBlack Black Black Black Black Black Black Brown\n\n\nExample 2\nInput:\nPurple Blue Black Black\nYellow Gray Brown Brown\nRed Gray Gray Black\nYellow Gray Brown Brown\nPurple Blue Black Black\n\nOutput:\nBlack Black Black Gray Gray Red Red Gray Gray Black\nBlack Black Brown Brown Gray Yellow Yellow Gray Brown Brown\nBlack Black Black Black Blue Purple Purple Blue Black Black\nBlack Black Black Black Blue Purple Purple Blue Black Black\nBlack Black Brown Brown Gray Yellow Yellow Gray Brown Brown\nBlack Black Black Gray Gray Red Red Gray Gray Black\nBlack Black Brown Brown Gray Yellow Yellow Gray Brown Brown\nBlack Black Black Black Blue Purple Purple Blue Black Black\n\n\nExample 3\nInput:\nBlack Orange Pink Pink Pink\nBlue Orange Black Brown Pink\nBlack Yellow Black Red Red\nBlack Black Green Red Red\nBlack Black Black Red Black\n\nOutput:\nBlack Red Black Black Black Black Black Black Red Black\nRed Red Green Black Black Black Black Green Red Red\nRed Red Black Yellow Black Black Yellow Black Red Red\nPink Brown Black Orange Blue Blue Orange Black Brown Pink\nPink Pink Pink Orange Black Black Orange Pink Pink Pink\nPink Pink Pink Orange Black Black Orange Pink Pink Pink\nPink Brown Black Orange Blue Blue Orange Black Brown Pink\nRed Red Black Yellow Black Black Yellow Black Red Red\nRed Red Green Black Black Black Black Green Red Red\nBlack Red Black Black Black Black Black Black Red Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Orange Brown\nBlack Green Green\nGreen Orange 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 Orange Green Green Orange Brown\nGreen Green Black Black Green Green\nBrown Orange Green Green Orange Brown\nBrown Orange Green Green Orange Brown\nGreen Green Black Black Green Green\nBrown Orange Green Green Orange 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:\nBlue Brown Purple Blue Purple Blue Black Black Black Yellow Purple Blue Purple Black Red Black Blue Purple\nBlue Black Purple Blue Blue Blue Blue Yellow Blue Brown Blue Black Yellow Blue Red Blue Blue Yellow\nBlack Brown Blue Black Brown Black Blue Blue Blue Black Blue Blue Blue Brown Red Red Red Red\nPurple Brown Purple Blue Purple Blue Blue Purple Black Purple Blue Yellow Yellow Blue Blue Yellow Black Blue\nBlue Yellow Black Blue Blue Blue Black Blue Blue Black Blue Blue Purple Blue Blue Purple Yellow Purple\nBlack Blue Black Yellow Yellow Blue Black Blue Blue Blue Blue Black Blue Purple Purple Black Blue Black\nBlue Blue Yellow Purple Blue Black Black Blue Black Blue Blue Blue Blue Yellow Yellow Brown Purple Blue\nBlue Blue Brown Blue Purple Black Blue Blue Blue Blue Purple Blue Yellow Blue Blue Blue Yellow Purple\nBlue Yellow Blue Black Black Blue Blue Yellow Purple Blue Purple Black Blue Black Brown Black Purple Black\nBlack Purple Yellow Black Black Blue Blue Blue Black Blue Purple Yellow Blue Black Blue Purple Purple Yellow\nBrown Brown Blue Brown Brown Brown Purple Blue Yellow Blue Blue Blue Blue Blue Brown Red Blue Yellow\nPurple Blue Blue Blue Brown Blue Blue Brown Purple Blue Yellow Black Black Blue Black Red Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Yellow Blue Blue Black Red Black Blue\nBlue Yellow Blue Blue Blue Blue Black Blue Brown Yellow Blue Brown Blue Brown Blue Red Brown Blue\nBlue Blue Blue Blue Brown Yellow Blue Black Brown Black Blue Black Black Blue Purple Red Blue Yellow\nBlue Blue Blue Yellow Purple Black Blue Blue Brown Blue Blue Blue Blue Blue Yellow Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Brown Blue Black Blue Black Brown Brown Yellow Blue Brown Purple\nBrown Purple Brown Blue Black Purple Blue Blue Blue Yellow Blue Yellow Purple Yellow Blue Blue Black Blue\nRed Yellow Yellow Blue Blue Blue Black Black Black Blue Blue Black Blue Blue Yellow Black Blue Black\nRed Blue Blue Black Brown Blue Blue Blue Brown Blue Yellow Blue Blue Blue Blue Blue Blue Black\nRed Red Red Red Red Blue Brown Yellow Black Blue Blue Blue Brown Blue Blue Purple Blue Blue\nBlue Brown Purple Brown Black Brown Blue Blue Black Brown Brown Brown Blue Blue Black Blue Purple Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black 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 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 Pink Blue Pink Black Black Blue Pink Blue Blue Black Black Blue Blue Blue Blue Blue\nBlue Blue Black Black Pink Blue Blue Blue Blue Black Blue Black Blue Blue Black Black Blue\nBlue Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Black Black Pink Blue Blue\nBlack Black Blue Black Black Black Pink Pink Black Blue Blue Blue Black Black Pink Blue Pink\nBlue Blue Blue Blue Blue Blue Pink Black Blue Blue Black Blue Black Black Black Black Black\nBlue Blue Black Blue Black Blue Pink Blue Blue Black Blue Blue Blue Blue Blue Blue Pink\nBlue Blue Pink Pink Pink Blue Pink Blue Pink Black Black Pink Black Blue Black Pink Pink\nBlue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Blue Blue Pink Pink Pink Black\nBlack Black Blue Pink Blue Blue Pink Black Blue Blue Pink Black Pink Blue Blue Black Blue\nBlue Blue Blue Black Pink Black Black Pink Black Pink Blue Pink Pink Pink Black Pink Blue\nBlue Red Blue Pink Pink Pink Blue Blue Pink Pink Blue Blue Blue Black Blue Blue Black\nBlue Red Pink Black Blue Black Blue Blue Pink Pink Blue Blue Blue Blue Pink Blue Pink\nBlack Red Blue Blue Black Blue Black Blue Pink Blue Black Black Black Black Blue Blue Blue\nBlue Red Pink Blue Blue Blue Black Black Black Blue Blue Blue Pink Pink Black Blue Black\nPink Red Pink Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black Blue Blue\nBlue Red Red Red Red Black Pink Blue Blue Blue Pink Black Blue Black Black Black Blue\nBlue Black Blue Blue Blue Black Blue Pink Blue Blue Blue Black Black Pink Black Pink Pink\nPink Blue Black Blue Pink Blue Black Black Blue Blue Pink Blue Pink Black Blue Blue Pink\nBlue Black Black Black Black Black Black Blue Blue Blue Blue Blue Pink Blue Blue Black Pink\nBlue Pink Blue Black Black Blue Blue Black Blue Black Blue Pink Blue Blue Blue Black Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black 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 3\nInput:\nBlue Black Black Blue Orange Blue Black Blue Blue Red Red Orange Black Blue Purple Purple Blue\nBlue Black Orange Orange Blue Blue Blue Blue Blue Red Red Blue Purple Black Purple Blue Black\nBlue Blue Blue Black Blue Blue Blue Black Blue Red Red Red Red Red Red Red Red\nBlue Purple Blue Blue Blue Black Blue Blue Blue Red Red Red Red Red Purple Blue Blue\nBlue Blue Blue Black Purple Purple Blue Blue Purple Purple Blue Blue Blue Orange Blue Blue Blue\nBlue Blue Blue Blue Orange Black Blue Blue Purple Blue Purple Purple Blue Black Blue Blue Black\nBlue Black Blue Blue Blue Blue Blue Orange Orange Blue Black Black Blue Blue Blue Blue Purple\nBlue Black Blue Black Orange Blue Black Blue Purple Orange Blue Blue Black Blue Blue Blue Blue\nBlue Blue Orange Blue Blue Blue Blue Purple Black Blue Blue Orange Orange Blue Purple Blue Blue\nBlue Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Blue Blue Purple Blue\nBlack Black Orange Blue Blue Blue Black Black Blue Black Black Purple Blue Blue Orange Black Blue\nPurple Orange Blue Blue Blue Blue Purple Blue Blue Black Purple Blue Blue Blue Black Blue Blue\nBlue Black Orange Purple Black Orange Purple Blue Blue Blue Blue Orange Blue Orange Black Blue Black\nBlue Blue Black Blue Blue Blue Blue Blue Blue Blue Orange Blue Blue Purple Black Blue Blue\nBlue Orange Blue Black Blue Blue Black Black Purple Blue Orange Blue Black Black Blue Blue Blue\nBlue Blue Orange Orange Orange Blue Black Blue Purple Orange Black Purple Blue Blue Blue Purple Black\nBlue Blue Blue Orange Blue Black Blue Orange Black Purple Purple Black Blue Black Blue Blue Blue\nBlue Blue Blue Blue Black Orange Blue Blue Blue Blue Purple Blue Blue Orange Blue Orange Blue\nBlue Purple Orange Blue Purple Blue Blue Black Black Blue Blue Blue Orange Blue Blue Purple Blue\nBlack Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Black Blue Blue\nOrange Blue Blue Blue Black Blue Blue Blue Blue Black Orange Blue Blue Blue Black Blue Blue\n\nOutput:\nBlack 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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nHere is the input grid for the test example:\nInput:\nPurple Blue Black Black Blue Blue Black Red Black Blue Blue Green Blue Blue Blue Black Blue Black Blue\nBlue Purple Green Blue Black Black Blue Red Red Red Red Green Black Black Black Blue Blue Blue Black\nBlack Black Blue Purple Purple Purple Blue Blue Blue Black Blue Blue Blue Red Blue Blue Black Blue Green\nBlack Blue Purple Black Blue Blue Green Green Blue Blue Blue Green Black Red Green Purple Purple Blue Blue\nBlue Black Black Black Green Green Blue Blue Black Blue Blue Blue Blue Red Blue Blue Blue Blue Purple\nBlue Blue Blue Black Purple Blue Blue Blue Black Black Green Green Black Red Purple Purple Black Blue Blue\nBlue Blue Blue Black Red Purple Blue Blue Blue Blue Blue Purple Black Red Red Red Red Blue Black\nGreen Black Black Blue Red Blue Black Black Black Blue Black Green Blue Black Green Blue Blue Blue Green\nPurple Blue Blue Black Red Red Red Red Red Red Black Purple Purple Blue Black Black Blue Purple Blue\nBlack Purple Green Blue Blue Green Blue Green Black Blue Blue Green Black Black Blue Blue Green Blue Blue\nBlue Black Black Blue Black Purple Blue Blue Blue Blue Blue Black Black Blue Blue Blue Purple Black Green\nBlack Purple Purple Black Blue Blue Blue Blue Black Black Purple Green Black Green Blue Purple Blue Blue Blue\nBlue Blue Blue Green Blue Green Black Blue Black Blue Blue Black Green Blue Blue Blue Blue Black Purple\nBlue Blue Blue Green Blue Black Black Black Black Black Blue Black Blue Blue Blue Black Blue Blue Blue\nBlack Blue Black Green Blue Blue Black Blue Black Blue Black Blue Blue Green Purple Black Blue Blue Blue\nGreen Blue Blue Purple Black Blue Blue Purple Blue Blue Blue Blue Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Purple Blue Blue Green Purple Blue Black Blue Blue Blue Green Blue\nBlue Blue Black Blue Blue Purple Black Purple Black Purple Blue Green Blue Blue Black Black Blue Black Blue\nPurple Green Green Blue Blue Blue Black Black Black Green Blue Blue Purple Blue Black Blue Blue Blue 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```\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Brown Brown Brown Brown Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Red Brown Brown Brown Red Yellow Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Brown Brown Red Red Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Brown Red Red Red Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red 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 Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black 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 Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black 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:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Purple Purple\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Purple\nRed Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Gray Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red 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 Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Red Black Pink Black Brown Black Black\nBlack Black Black Black Red Pink Black Black\nBlue Orange Brown Black Black Black Black Black\nBlack Yellow Black Purple Blue Green Black Black\nBlack Blue Black Black Black Green Brown Black\nBlack Black Black Black Red Pink Black Green\nOrange Green Black Orange Black Black Black Black\nBlack Black Blue Green Black Black Black Gray\nPink Yellow Black Purple Black Black Yellow Black\nBlack Black Brown Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Red Black Pink Black Brown Black Black\nBlack Black Black Black Red Pink Black Black\nBlue Orange Brown Black Black Black Black Black\nBlack Gray Black Purple Blue Green Black Black\nBlack Blue Black Black Black Green Brown Black\nBlack Black Black Black Red Pink Black Green\nOrange Green Black Orange Black Black Black Black\nBlack Black Blue Green Black Black Black Yellow\nPink Gray Black Purple Black Black Gray Black\nBlack Black Brown Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Red Black Brown Black Black Black\nPurple Black Black Black Black Black Yellow\nRed Black Black Black Green Black Red\nRed Orange Black Black Brown Red Black\nBlack Black Black Black Black Black Orange\nBrown Brown Pink Black Yellow Black Black\nBlack Pink Orange Black Blue Gray Black\nBlack Black Black Red Black Purple Orange\nPurple Black Black Black Pink Green Black\nOrange Gray Black Black Black Black Black\n\nOutput:\nBlack Red Black Brown Black Black Black\nPurple Black Black Black Black Black Gray\nRed Black Black Black Green Black Red\nRed Orange Black Black Brown Red Black\nBlack Black Black Black Black Black Orange\nBrown Brown Pink Black Gray Black Black\nBlack Pink Orange Black Blue Yellow Black\nBlack Black Black Red Black Purple Orange\nPurple Black Black Black Pink Green Black\nOrange Yellow Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Brown Black Black\nBlack Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Green\nBlack Red Black Red Black Black Black\nGreen Black Blue Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Brown Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Green\nBlack Red Black Red Black Black Black\nGreen Black Blue Gray Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Red Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Brown Black Black Black Black Black Black\nYellow Black Black Purple Black Black Brown Black Black\nBlack Black Red Black Black Black Yellow Orange Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Pink Blue Black Black Black Black Black\nPurple 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"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Black Red Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Brown Black Black Black Black Black Black\nGray Black Black Purple Black Black Brown Black Black\nBlack Black Red Black Black Black Gray Orange Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Pink Blue Black Black Black Black Black\nPurple Black Black Red 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 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 Black Black\nBlack Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Red Red 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 Yellow Yellow Black Black Gray Gray Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Gray Gray Brown Brown Black Black\nBlack Black Black 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 Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Pink Pink Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Pink Pink Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple\nBlack 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 Gray Gray\nBlack 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 Purple Purple Black Black Black Black\nBlack 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 Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Orange 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 Orange Orange Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Blue Blue Black Black Gray Gray Black Black Pink Pink Blue Blue Black Black Black Black\nRed Red Black Black Blue Blue Black Black Gray Gray Black Black Pink Pink Blue Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Orange Orange 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Black Black\nPink Pink Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack 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 Yellow Yellow Black Black\nBlack Black Brown Brown Black Black Black Black Red Red Orange Orange Orange Orange Orange Orange\nBlack Black Brown Brown Black Black Black Black Red Red Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Orange Orange Black Black Black Black Black Black Orange Orange\nBlack Black Brown Brown Black Black Orange Orange Black Black Black Black Black Black Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack 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 Yellow Yellow Black Black\nBlack Black Orange Orange Black Black Black Black Red Red Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Black Black Black Black Red Red Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black Orange Orange\nBlack Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black Orange Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Gray Black\nBlack Black Gray Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black\nBlack Pink Black Black Pink Orange Pink Orange\nPink Gray Pink Black Black Pink Yellow Black\nBlack Pink Black Black Black Orange Black Orange\nBlack Black Black Black Black Black Pink Black\nBlack Black Pink Black Black Orange Gray Orange\nBlack Pink Gray Pink Black Black Pink Black\nBlack Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Orange Black Orange Purple Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Orange Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Gray Black Black Pink Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Gray Black Black Blue Black Black Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Pink Black Blue Black Black\nBlack Black Black Black Pink Orange Pink Orange Pink Orange\nBlack Pink Black Black Black Pink Yellow Black Yellow Black\nPink Gray Pink Black Blue Orange Black Orange Black Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Orange Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray\nBrown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Black Orange Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Orange Black Black Red Black\nOrange Black Orange Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink Gray\nBrown Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray\nBlack Black Gray Black Black Orange Black Black Yellow\nBlack Black Black 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 Yellow 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 Pink\nBlack Black Pink Black Black Black Black Pink Gray\nBlack Pink Gray Pink Black Orange Black Black Pink\nBlack Black Pink Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Yellow Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Red Red Red Black Black\nBlack Black Red Red Red Black Black\nBlack Black Red Black Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Black Blue Blue\nBlack Black Blue Blue Black Blue Blue\n\nOutput:\nBlack Black Red Red Black Black Red\nBlack Black Red Red Red Black Black\nBlack Black Red Black Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Black Blue Blue\nBlack Black Blue Blue Black Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Red Red Black Black Blue Blue Black\nBlack Red Red Red Black Black Black Black Black\nBlack Black Red Red Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Blue Blue Black\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 Blue Blue Black\nBlack Black Red Black Black Black Blue Red Black\nBlack Red Red Red Black Black Black Black Black\nBlack Black Red Red Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Red Black Black Black Black Blue Black Black\nRed Red Red Black Black Black Black Black Black\nBlack Red Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Red Black Black Black Black Blue Red Black\nRed Red Red Black Black Black Black Black Black\nBlack Red Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Black Black Black Black\nBlack Blue Black Black Blue Blue Black\nBlack Black Black Black Blue Black Black\nBlack Black Red Black Black Black Black\nBlack Red Red Red Black Black Black\nBlack Red Red Red Black Blue Blue\nBlack Black Black Black Black 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 Blue Blue Black Black Black Black\nBlack Blue Black Black Blue Blue Black\nBlack Black Black Black Blue Black Black\nBlack Black Red Black Black Black Red\nBlack Red Red Red Black Black Black\nBlack Red Red Red Black Blue Blue\nBlack Black Black Black Black Blue 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 Orange Black Black Orange Black Black Green Orange Black Purple Black Pink\nBlack Black Black Black Purple Black Black Orange Black Black Black Yellow Black\nBlack Black Black Black Purple Black Black Pink Black Orange Black Yellow Orange\nBlack Black Black Red Black Black Black Black Black Black Black Pink Black\nBlack Black Black Yellow Black Black Gray Black Black Orange Black Orange Purple\nBlack Orange Black Black Pink Black Black Black Blue Black Black Black Purple\nBlack Black Red Pink Black Pink Red Yellow Orange Black Black Black Brown\nBlack Orange Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Brown Black Black Yellow Black Blue Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Blue Orange Blue Black Black Blue Purple\nBrown Black Red Purple Black Red Black Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Orange Black Black Orange Black Black Green Orange Black Purple Black Pink\nBlack Black Black Black Purple Black Black Orange Black Black Black Yellow Black\nBlack Black Black Black Purple Black Black Pink Black Orange Black Yellow Orange\nBlack Black Black Red Black Black Black Black Black Black Black Pink Black\nBlack Black Black Yellow Black Black Gray Black Black Orange Black Orange Purple\nBlack Orange Black Black Pink Black Black Black Blue Black Black Black Purple\nBlack Black Red Pink Black Pink Red Yellow Orange Black Black Black Brown\nBlack Orange Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Brown Black Black Yellow Black Blue Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Blue Orange Blue Black Black Blue Purple\n\n\nExample 2\nInput:\nBlack Brown Brown Black Blue Black Black Black Gray Black Black Black\nPurple Black Black Black Black Black Yellow Black Pink Black Black Purple\nYellow Black Black Black Pink Gray Black Purple Blue Black Black Black\nBlack Black Black Yellow Purple Black Black Brown Black Black Black Black\nBlack Black Black Blue Black Black Black Black Pink Green Black Red\nBlue Black Black Black Black Black Black Black Black Green Pink Green\nBlack Black Purple Black Black Black Purple Black Black Black Black Black\nBlack Black Black Yellow Green Blue Black Black Black Black Black Blue\nBlack Black Yellow Blue Black Black Black Orange Black Orange Pink Blue\nGreen Black Brown Black Blue Black Black Black Black Black Black Red\nBlack Black Orange Gray Black Black Black Black Gray Black Green Pink\nBlack Yellow Yellow Black Black Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Blue Black Black Black Gray Black Black Black\nPurple Black Black Black Black Black Yellow Black Pink Black Black Purple\nYellow Black Black Black Pink Gray Black Purple Blue Black Black Black\nBlack Black Black Yellow Purple Black Black Brown Black Black Black Black\nBlack Black Black Blue Black Black Black Black Pink Green Black Red\nBlue Black Black Black Black Black Black Black Black Green Pink Green\nBlack Black Purple Black Black Black Purple Black Black Black Black Black\nBlack Black Black Yellow Green Blue Black Black Black Black Black Blue\nBlack Black Yellow Blue Black Black Black Orange Black Orange Pink Blue\nGreen Black Brown Black Blue Black Black Black Black Black Black Red\nBlack Black Orange Gray Black Black Black Black Gray Black Green Pink\n\n\nExample 3\nInput:\nBlack Black Black Yellow Black Black Gray Pink Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Orange Black Black Black Brown Black\nYellow Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Gray Black Black Gray Black Black Purple Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Gray Yellow Brown Black Gray Black Black Black Yellow Green Yellow\nBlack Black Black Black Black Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Yellow Black Brown Black Black Black Black Orange Black Black\nBlack Purple Black Black Black Pink Black Yellow Black Pink Black Gray Black Black\nGray Black Black Black Black Pink Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Red Black Black Black\nBlack Red Blue Blue Black Gray Black Blue 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 Yellow Black Black Gray Pink Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Orange Black Black Black Brown Black\nYellow Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Gray Black Black Gray Black Black Purple Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Gray Yellow Brown Black Gray Black Black Black Yellow Green Yellow\nBlack Black Black Black Black Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Yellow Black Brown Black Black Black Black Orange Black Black\nBlack Purple Black Black Black Pink Black Yellow Black Pink Black Gray Black Black\nGray Black Black Black Black Pink Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Black Orange Black Black Gray Gray Black Black Black Black Gray\nGreen Black Green Black Black Black Black Black Black Black Blue Black Black Black\nBlack Yellow Black Blue Black Black Brown Black Black Black Black Purple Black Black\nBlack Black Red Black Black Black Black Orange Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Gray Yellow Black Orange Black Brown Black\nBlack Black Black Black Gray Blue Purple Pink Black Black Black Pink Red Black\nBlack Green Black Black Black Pink Black Gray Green Black Black Red Black Black\nPurple Black Black Black Purple Black Yellow Black Black Black Black Black Black Black\nBlack Black Pink Orange Yellow Black Black Black Black Black Black Black Purple Black\nBlack Black Black Red Blue Black Black Red Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Gray Black Black Green Black\nBlack Gray Black Black Black Black Black Black Pink Red Black Orange Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Blue Black Black\nYellow Black Purple Pink Black Black Black Black Black Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Orange Black Black Gray Gray Black Black Black Black Gray\nGreen Black Green Black Black Black Black Black Black Black Blue Black Black Black\nBlack Yellow Black Blue Black Black Brown Black Black Black Black Purple Black Black\nBlack Black Red Black Black Black Black Orange Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Gray Yellow Black Orange Black Brown Black\nBlack Black Black Black Gray Blue Purple Pink Black Black Black Pink Red Black\nBlack Green Black Black Black Pink Black Gray Green Black Black Red Black Black\nPurple Black Black Black Purple Black Yellow Black Black Black Black Black Black Black\nBlack Black Pink Orange Yellow Black Black Black Black Black Black Black Purple Black\nBlack Black Black Red Blue Black Black Red Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Gray Black Black Green Black\nBlack Gray Black Black Black Black Black Black Pink Red Black Orange Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Blue 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 Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black\nYellow Black Yellow Black Yellow Yellow\nBlack Black Yellow Black Yellow Black\nYellow Black Black Yellow Black Black\nYellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black\nYellow Black Black Yellow Black Black\nBlack Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Black\nYellow Black Yellow Black Yellow Yellow\nBlack Black Yellow Black Yellow Black\nYellow Black Black Yellow Black Black\nYellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Orange Black Orange Black\nOrange Black Black Orange Black\nBlack Orange Black Orange Orange\nOrange Orange Orange Orange Orange\nBlack Black Black Black Orange\nOrange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange\nBlack Black Black Black Orange\nOrange Orange Orange Orange Orange\nBlack Orange Black Orange Orange\nOrange Black Black Orange Black\nBlack Orange Black Orange Black\nBlack Orange Black Orange Black\nOrange Black Black Orange Black\nBlack Orange Black Orange Orange\nOrange Orange Orange Orange Orange\nBlack Black Black Black Orange\nOrange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Brown Black Black Brown\nBrown Brown Black Black Black\nBlack Black Black Black Black\nBlack Black Brown Brown Black\nBlack Black Brown Brown Brown\n\nOutput:\nBlack Black Brown Brown Brown\nBlack Black Brown Brown Black\nBlack Black Black Black Black\nBrown Brown Black Black Black\nBlack Brown Black Black Brown\nBlack Brown Black Black Brown\nBrown Brown Black Black Black\nBlack Black Black Black Black\nBlack Black Brown Brown Black\nBlack Black Brown Brown Brown\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 Black Black Black\nBlack Black Black Black Black Black Black\nBlack Pink Black Black Black Pink Pink\nPink Black Pink Pink Pink Black Pink\nPink Pink Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black\nPink Black Pink Black Pink Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Pink Black Pink Black Pink\nBlack Pink Pink Pink Black Black Black\nPink Pink Black Black Black Black Black\nPink Black Pink Pink Pink Black Pink\nBlack Pink Black Black Black Pink Pink\nBlack Pink Black Black Black Pink Pink\nPink Black Pink Pink Pink Black Pink\nPink Pink Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black\nPink Black Pink Black Pink 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Gray Gray Gray Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Brown Gray Gray Gray Brown Black\nBlack Black Black Black Black Black Black Purple Gray Gray Gray Purple Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Gray Gray Gray Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Gray Gray Gray Orange Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Yellow Gray Gray Gray Yellow\nBlack Black Orange Gray Gray Gray Orange Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Gray Gray Gray Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Gray Gray Gray Gray Gray Gray Gray Yellow Gray Gray Gray Yellow\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Gray Gray Gray Yellow\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Gray Gray Gray Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Green Gray Gray Gray Green Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Green Gray Gray Gray Green Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Gray Gray Gray Green Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Orange Gray Gray Gray Orange Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Gray Gray Gray Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Gray Gray Gray Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Gray Gray Gray Purple Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Purple\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Purple\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\n\n\nExample 3\nInput:\nBlack Blue Gray Gray Gray Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Gray Gray Gray Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Gray Gray Gray Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Green Gray Gray Gray Green Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Pink Gray Gray Gray Pink Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Gray Gray Gray Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Gray Gray Gray Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Purple Gray Gray Gray Purple Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Purple\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Purple\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Gray Gray Gray Pink Black Black Black Black Orange Gray Gray Gray Orange Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Pink Gray Gray Gray Pink Black Black Black Black Orange Gray Gray Gray 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\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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Gray Gray Gray Orange Black Black Black\nBlack Black Black Black Black Pink Gray Gray Gray Pink Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Orange Gray Gray Gray Orange Black Black Black\nBlack Black Black Black Black Pink Gray Gray Gray Pink Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Pink\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Pink\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Green Green Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Pink Pink Green Green Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Pink Pink Green Green Black Black Black Black Black Brown Brown Brown Black Orange Orange Orange\nBlack Pink Pink Pink Black Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange\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 Green Green Green Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Pink Pink Green Green Green Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Pink Green Green Green Green Black Black Black Black Brown Brown Brown Brown Orange Orange Orange\nBlack Pink Green Green Green Green Black Black Pink Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Green Green Green Green Black Black Pink Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Green Green Green Green Black Black Purple Purple Black\nBlack Black Black Black Black Green Green Green Green Black Black Purple Purple 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\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 Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Green Green Green Green Green Black Purple Purple Black\nBlack Black Black Black Black Green Green Green Green Green Black Purple Purple Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Red Red Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Red Red Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Red Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Black Green\nGreen Green Green Black Green\nGreen Green Green Green Black\nGreen Green Black Black Black\nGreen Green Black Green Black\nGreen Black Green Green Green\nGreen Black Green Black Green\nYellow Yellow Yellow Yellow Yellow\nGreen Green Black Black Green\nBlack Green Green Green Black\nBlack Black Black Black Black\nBlack Green Green Black Green\nGreen Green Green Black Green\nGreen Black Black Green Black\nBlack Black Black Green Green\n\nOutput:\nBlue Blue Red Red Blue\nRed Blue Blue Black Red\nRed Red Red Red Red\nRed Blue Black Red Black\nBlue Blue Black Red Black\nBlue Red Red Blue Red\nRed Red Red Black Blue\n\n\nExample 2\nInput:\nGreen Black Green Black Black Green Green\nBlack Black Black Black Green Green Green\nGreen Black Green Green Green Green Green\nGreen Green Green Green Green Black Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Black Green Green Green Black Black\nGreen Black Black Green Green Green Black\nBlack Black Black Black Green Green Green\nGreen Black Black Black Black Green Green\n\nOutput:\nBlue Red Blue Black Black Red Red\nBlack Red Red Black Blue Blue Red\nRed Red Red Red Blue Blue Blue\nBlue Red Red Red Red Black Blue\n\n\nExample 3\nInput:\nGreen Green Black Black Green Green Green Black\nGreen Black Green Black Black Black Black Black\nGreen Black Black Black Black Green Green Black\nGreen Black Green Black Black Green Green Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Green Black Black Black Black Green\nGreen Black Green Green Green Black Black Black\nBlack Green Black Green Black Green Green Green\nGreen Black Black Black Black Green Green Black\n\nOutput:\nRed Red Black Red Red Red Red Black\nBlue Red Blue Black Black Red Red Red\nRed Black Red Black Red Blue Blue Black\nBlue Red Red Red Red Blue Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Green Green Green Green\nBlack Black Black Green Black Green\nGreen Black Black Green Green Black\nGreen Black Black Green Black Green\nGreen Green Black Black Black Black\nBlack Black Green Black Green Green\nYellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Black Green Green Black\nBlack Green Black Green Green Black\nGreen Black Black Green Black Black\nBlack Black Black Black Green Black\nGreen Black Black Green Green Green\nBlack Green Green Black Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Red Blue Blue Red\nRed Black Red Blue Black Red\nBlue Red Red Blue Red Red\nRed Red Red Red Black Red\nBlue Red Red Black Black Black\nRed Black Blue Red Blue Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 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 Black Black Black 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 Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink Black Black Black Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow 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\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green 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 Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green 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 Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Black Black Black Green Green Green\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black 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 Blue Blue Blue\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 Blue Blue Blue\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 Blue Blue Blue\nPurple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Purple 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 Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Orange Orange Orange Red Red Red Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Orange Orange Orange Red Red Red Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Orange Orange Orange Red Red Red Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green 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 Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Yellow Pink Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Yellow Pink Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Yellow Pink Yellow\nBlack Black Black 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 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\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 Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Green Green Green Green Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Red Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Yellow Red Green Green Green Green Yellow Yellow Yellow Pink Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Pink Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Black Black Black\nBlack Black Black Yellow Yellow Orange Orange Orange Orange Yellow Yellow Yellow Pink Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\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 Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Yellow Yellow Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Gray Gray Purple Purple Orange Orange Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Gray Gray Purple Purple Orange Orange Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Purple Purple Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Purple Purple Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Purple Purple Yellow Yellow Orange Orange Purple Purple Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Purple Purple Yellow Yellow Orange Orange Purple Purple Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow\n\nOutput:\nGreen Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Purple Purple Orange Orange Green Green\nGreen Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Purple Purple Orange Orange Green Green\nBrown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown\nBrown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown\nGreen Green Green Green Green Green Purple Purple Yellow Yellow Gray Gray Gray Gray Yellow Yellow Purple Purple Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Yellow Yellow Gray Gray Gray Gray Yellow Yellow Purple Purple Green Green Green Green Green Green\nOrange Orange Orange Orange Green Green Orange Orange Blue Blue Purple Purple Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Green Green Orange Orange Blue Blue Purple Purple Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange\nGray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Red Red Purple Purple Yellow Yellow Orange Orange Purple Purple Gray Gray\nGray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Red Red Purple Purple Yellow Yellow Orange Orange Purple Purple Gray Gray\nBrown Brown Orange Orange Gray Gray Orange Orange Blue Blue Pink Pink Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown\nBrown Brown Orange Orange Gray Gray Orange Orange Blue Blue Pink Pink Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown\nOrange Orange Brown Brown Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange\nOrange Orange Brown Brown Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange\nYellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray Pink Pink Pink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray Pink Pink Pink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown Orange Orange Red Red Gray Gray Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown Orange Orange Red Red Gray Gray Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\n\nOutput:\nOrange Orange Blue Blue Green Green Red Red Pink Pink Blue Blue Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange\nOrange Orange Blue Blue Green Green Red Red Pink Pink Blue Blue Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange\nOrange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange\nOrange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange\nBrown Brown Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown\nBrown Brown Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown\nPurple Purple Brown Brown Pink Pink Orange Orange Blue Blue Orange Orange Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Purple Purple\nPurple Purple Brown Brown Pink Pink Orange Orange Blue Blue Orange Orange Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Purple Purple\nPurple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple\nPurple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple\nBlue Blue Gray Gray Red Red Orange Orange Brown Brown Blue Blue Blue Blue Brown Brown Orange Orange Red Red Gray Gray Blue Blue\nBlue Blue Gray Gray Red Red Orange Orange Brown Brown Blue Blue Blue Blue Brown Brown Orange Orange Red Red Gray Gray Blue Blue\nOrange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nOrange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Brown Brown Purple Purple Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Brown Brown Purple Purple Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Red Red Gray Gray Orange Orange Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Red Red Gray Gray Orange Orange Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Purple Purple Orange Orange Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Purple Purple Orange Orange Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown\n\nOutput:\nPink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Brown Brown Yellow Yellow Brown Brown Purple Purple Pink Pink\nPink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Brown Brown Yellow Yellow Brown Brown Purple Purple Pink Pink\nYellow Yellow Pink Pink Purple Purple Orange Orange Gray Gray Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Purple Purple Orange Orange Gray Gray Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow\nBrown Brown Green Green Orange Orange Gray Gray Red Red Red Red Gray Gray Orange Orange Green Green Brown Brown\nBrown Brown Green Green Orange Orange Gray Gray Red Red Red Red Gray Gray Orange Orange Green Green Brown Brown\nOrange Orange Green Green Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Green Green Orange Orange\nOrange Orange Green Green Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Green Green Orange Orange\nGray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nGray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nBlue Blue Orange Orange Purple Purple Pink Pink Orange Orange Orange Orange Pink Pink Purple Purple Orange Orange Blue Blue\nBlue Blue Orange Orange Purple Purple Pink Pink Orange Orange Orange Orange Pink Pink Purple Purple Orange Orange Blue Blue\nBrown Brown Yellow Yellow Yellow Yellow Red Red Green Green Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Red Red Green Green Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Pink Pink Red Red Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Pink Pink Red Red Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Green Green Purple Purple Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Green Green Purple Purple Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Red Red Blue Blue Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Red Red Blue Blue Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Pink Pink Pink Pink Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Pink Pink Pink Pink Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Blue Blue Brown Brown Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Blue Blue Brown Brown Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Pink Pink Green Green Gray Gray Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Red Red Pink Pink Green Green Green Green Green Green Green Green Pink Pink Red Red Orange Orange\nOrange Orange Red Red Pink Pink Green Green Green Green Green Green Green Green Pink Pink Red Red Orange Orange\nOrange Orange Yellow Yellow Purple Purple Green Green Gray Gray Gray Gray Green Green Purple Purple Yellow Yellow Orange Orange\nOrange Orange Yellow Yellow Purple Purple Green Green Gray Gray Gray Gray Green Green Purple Purple Yellow Yellow Orange Orange\nBrown Brown Red Red Purple Purple Orange Orange Blue Blue Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nBrown Brown Red Red Purple Purple Orange Orange Blue Blue Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nPink Pink Gray Gray Blue Blue Red Red Pink Pink Pink Pink Red Red Blue Blue Gray Gray Pink Pink\nPink Pink Gray Gray Blue Blue Red Red Pink Pink Pink Pink Red Red Blue Blue Gray Gray Pink Pink\nBrown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown\nOrange Orange Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Orange Orange\nOrange Orange Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Orange Orange\nPink Pink Gray Gray Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink\nPink Pink Gray Gray Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink\nGray Gray Brown Brown Blue Blue Pink Pink Gray Gray Gray Gray Pink Pink Blue Blue Brown Brown Gray Gray\nGray Gray Brown Brown Blue Blue Pink Pink Gray Gray Gray Gray Pink Pink Blue Blue Brown Brown Gray Gray\nPink Pink Gray Gray Green Green Pink Pink Brown Brown Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nPink Pink Gray Gray Green Green Pink Pink Brown Brown Brown Brown Pink Pink Green Green Gray Gray 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 Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Pink Pink Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Pink Pink 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 Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Pink Pink Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange 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 Blue Blue Blue Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Orange Orange Orange Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Gray Gray Gray Black Black Black Orange Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Gray Gray Gray 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 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\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 Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown 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 Gray Gray Gray Black Black Orange Orange Orange Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Gray Gray Gray Black Black Black Orange Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Gray Gray Gray 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 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\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 Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black 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 Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Black Purple Purple Purple Purple Black Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Black Purple Purple Purple Purple Black Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Black Purple Purple Purple Purple Black Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Black Purple Purple Purple Purple Black Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Black Pink Pink Pink Pink Black Green Green Green Green\nOrange Orange Orange Orange Black Pink Pink Pink Pink Black Green Green Green Green\nOrange Orange Orange Orange Black Pink Pink Pink Pink Black Green Green Green Green\nOrange Orange Orange Orange Black Pink Pink Pink Pink Black Green Green Green Green\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Black Orange Orange Orange Orange Black Green Green Green Green\nGray Gray Gray Gray Black Orange Orange Orange Orange Black Green Green Green Green\nGray Gray Gray Gray Black Orange Orange Orange Orange Black Green Green Green Green\nGray Gray Gray Gray Black Orange Orange Orange Orange Black Green Green Green Green\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Black Gray Gray Gray Gray Black Gray Gray Gray Gray\nPink Pink Pink Pink Black Gray Gray Gray Gray Black Gray Gray Gray Gray\nPink Pink Pink Pink Black Gray Gray Gray Gray Black Gray Gray Gray Gray\nPink Pink Pink Pink Black Gray Gray Gray Gray 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```\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink 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\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 Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Yellow 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\nYellow 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 Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink 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 Pink Black Black Black Black Black Black\nBlack Pink Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Green Green Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Green Green Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Green Green Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Green Green Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black 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\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green\nGreen Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Green\nGreen Green Green Green Green Green Green 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 Green 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 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Gray Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Red\nRed Red 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```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Red Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown 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:\nBrown Orange Red Gray Blue Purple Brown Purple Orange Green Pink Gray Blue Pink Purple Brown Gray Gray Gray Blue\nGray Green Green Green Gray Green Purple Brown Orange Pink Pink Red Red Purple Red Pink Red Blue Blue Gray\nOrange Gray Orange Green Green Red Brown Green Blue Orange Pink Brown Purple Orange Red Purple Green Orange Green Pink\nOrange Gray Gray Blue Gray Green Blue Brown Pink Orange Green Blue Pink Brown Blue Pink Pink Orange Purple Red\nOrange Red Green Brown Green Red Blue Green Pink Brown Blue Orange Purple Red Red Red Gray Brown Brown Purple\nBrown Blue Orange Green Blue Pink Red Pink Gray Gray Green Brown Pink Pink Gray Red Green Brown Gray Gray\nPurple Red Purple Blue Gray Green Gray Orange Red Pink Orange Pink Red Purple Brown Green Gray Blue Green Yellow\nGray Gray Red Purple Green Gray Brown Red Pink Brown Red Brown Gray Green Pink Red Pink Brown Red Yellow\nPurple Red Red Gray Red Blue Orange Red Pink Purple Orange Red Pink Gray Blue Orange Red Blue Gray Yellow\nPink Gray Red Red Pink Purple Orange Green Green Green Blue Purple Blue Pink Brown Purple Brown Pink Red Yellow\nRed Green Blue Brown Blue Red Blue Orange Orange Red Brown Purple Green Blue Purple Orange Red Purple Orange Yellow\nOrange Pink Blue Blue Orange Green Gray Brown Blue Blue Brown Purple Brown Red Red Green Orange Brown Green Red\nPurple Brown Purple Red Orange Red Gray Orange Gray Green Purple Gray Purple Blue Orange Blue Green Blue Brown Pink\nBrown Red Green Red Pink Orange Purple Purple Brown Purple Red Blue Green Green Red Blue Orange Red Brown Brown\nBrown Gray Gray Gray Red Purple Pink Pink Gray Brown Orange Blue Purple Green Red Brown Blue Brown Blue Gray\nRed Green Green Purple Brown Green Pink Orange Orange Brown Pink Blue Red Brown Blue Orange Brown Purple Purple Green\nBrown Gray Pink Blue Pink Brown Blue Pink Orange Gray Brown Purple Pink Green Orange Green Pink Gray Gray Pink\nGray Pink Brown Red Red Purple Purple Purple Green Purple Blue Orange Brown Green Green Green Purple Green Brown Purple\nGray Purple Pink Brown Orange Purple Blue Purple Pink Orange Orange Red Purple Orange Red Blue Orange Pink Brown Purple\nPurple Orange Purple Purple Green Blue Orange Red Brown Pink Green Purple Orange Green Purple Blue Green Pink Green Brown\n\nOutput:\nBrown Orange Red Gray Blue Purple Brown Purple Orange Green Yellow Gray Blue Pink Purple Brown Gray Gray Gray Blue\nGray Green Green Green Gray Green Purple Brown Orange Pink Yellow Red Red Purple Red Pink Red Blue Blue Gray\nYellow Gray Orange Green Green Red Brown Green Blue Orange Yellow Brown Purple Orange Red Purple Green Orange Green Pink\nYellow Gray Gray Blue Gray Green Blue Brown Pink Orange Green Blue Pink Brown Blue Pink Pink Orange Purple Red\nYellow Red Green Brown Green Red Blue Green Pink Brown Blue Orange Purple Red Red Red Gray Brown Brown Purple\nBrown Blue Orange Green Blue Pink Red Pink Gray Gray Green Brown Pink Pink Gray Red Green Brown Gray Gray\nPurple Red Purple Blue Gray Green Gray Orange Red Pink Orange Pink Red Purple Brown Green Gray Blue Green Yellow\nGray Gray Yellow Purple Green Gray Brown Red Pink Brown Red Brown Gray Green Pink Red Pink Brown Red Yellow\nPurple Red Yellow Gray Red Blue Orange Red Pink Purple Orange Red Pink Gray Blue Orange Red Blue Gray Yellow\nPink Gray Yellow Red Pink Purple Orange Green Green Green Blue Yellow Blue Pink Brown Purple Brown Pink Red Yellow\nRed Green Blue Brown Blue Red Blue Orange Orange Red Brown Yellow Green Blue Purple Orange Red Purple Orange Yellow\nOrange Pink Blue Blue Orange Green Gray Brown Blue Blue Brown Yellow Brown Red Red Green Orange Brown Green Red\nPurple Brown Purple Red Orange Red Gray Orange Gray Green Purple Gray Purple Blue Orange Blue Green Blue Brown Pink\nBrown Red Green Red Pink Orange Purple Purple Brown Purple Red Yellow Green Green Red Blue Orange Red Brown Brown\nBrown Gray Gray Gray Red Purple Pink Pink Gray Brown Orange Yellow Purple Green Red Brown Blue Brown Blue Gray\nRed Green Green Purple Brown Green Pink Orange Orange Brown Pink Yellow Red Brown Blue Orange Brown Purple Purple Green\nBrown Gray Pink Blue Pink Brown Blue Pink Orange Gray Brown Purple Pink Green Orange Green Pink Gray Gray Pink\nGray Pink Brown Red Red Purple Purple Purple Green Purple Blue Orange Brown Green Green Green Purple Green Brown Purple\nGray Purple Pink Brown Orange Purple Blue Purple Pink Orange Orange Red Purple Orange Red Blue Orange Pink Brown Purple\nPurple Orange Purple Purple Green Blue Orange Red Brown Pink Green Purple Orange Green Purple Blue Green Pink Green Brown\n\n\nExample 2\nInput:\nGray Gray Purple Gray Orange Orange Orange Blue Brown Yellow Orange Blue Brown Gray Brown Yellow Red Orange Yellow Blue\nPink Yellow Purple Brown Purple Yellow Red Red Orange Orange Blue Red Yellow Brown Purple Blue Yellow Yellow Yellow Pink\nGray Red Brown Pink Yellow Purple Purple Gray Pink Gray Pink Pink Red Purple Orange Blue Purple Blue Orange Brown\nYellow Gray Gray Yellow Gray Red Orange Brown Pink Red Yellow Pink Brown Gray Red Pink Brown Blue Yellow Yellow\nRed Orange Pink Gray Blue Yellow Green Gray Pink Orange Blue Yellow Brown Orange Pink Blue Gray Yellow Pink Red\nBlue Pink Brown Purple Gray Brown Green Purple Gray Orange Orange Pink Purple Gray Red Yellow Gray Gray Yellow Brown\nGray Purple Yellow Yellow Yellow Brown Green Gray Purple Orange Blue Purple Red Yellow Purple Blue Purple Orange Gray Blue\nGray Blue Yellow Brown Pink Blue Green Purple Yellow Blue Blue Yellow Pink Orange Gray Pink Brown Pink Purple Orange\nRed Purple Brown Purple Orange Pink Green Purple Blue Red Orange Brown Brown Red Orange Purple Yellow Gray Gray Brown\nYellow Blue Gray Brown Purple Yellow Green Gray Blue Red Gray Pink Blue Red Orange Orange Blue Yellow Red Yellow\nYellow Blue Pink Brown Yellow Orange Red Yellow Brown Blue Red Pink Blue Yellow Brown Yellow Pink Red Brown Red\nYellow Brown Yellow Purple Orange Purple Gray Red Gray Brown Gray Purple Red Brown Purple Brown Yellow Yellow Yellow Orange\nPink Pink Blue Blue Blue Pink Brown Purple Yellow Orange Blue Purple Yellow Yellow Red Orange Gray Gray Pink Orange\nPurple Yellow Red Red Brown Blue Brown Yellow Blue Orange Brown Orange Orange Gray Orange Red Purple Brown Yellow Brown\nPurple Yellow Purple Blue Blue Brown Brown Pink Red Brown Brown Orange Red Gray Red Pink Purple Pink Brown Brown\nOrange Yellow Gray Orange Purple Purple Red Orange Purple Purple Pink Purple Gray Red Blue Pink Pink Brown Purple Orange\nYellow Red Orange Gray Blue Brown Red Brown Brown Pink Orange Orange Gray Purple Pink Red Pink Gray Brown Red\nYellow Red Gray Purple Yellow Yellow Gray Purple Orange Gray Pink Gray Blue Purple Brown Brown Orange Purple Gray Blue\nPink Blue Yellow Purple Pink Blue Gray Brown Gray Brown Brown Blue Orange Purple Blue Purple Blue Orange Yellow Yellow\nBlue Gray Yellow Red Yellow Orange Blue Pink Red Pink Purple Red Blue Orange Red Brown Blue Brown Pink Blue\n\nOutput:\nGray Gray Purple Gray Orange Orange Orange Blue Brown Yellow Orange Blue Brown Gray Brown Yellow Red Orange Yellow Blue\nPink Yellow Purple Brown Purple Yellow Red Red Orange Orange Blue Red Yellow Brown Purple Blue Yellow Yellow Yellow Pink\nGray Red Brown Pink Yellow Purple Purple Gray Yellow Gray Pink Pink Red Purple Orange Blue Purple Blue Orange Brown\nYellow Gray Gray Yellow Gray Red Orange Brown Yellow Red Yellow Pink Brown Gray Red Pink Brown Blue Yellow Yellow\nRed Orange Pink Gray Blue Yellow Yellow Gray Yellow Yellow Blue Yellow Brown Orange Pink Blue Gray Yellow Pink Red\nBlue Pink Brown Purple Gray Brown Yellow Purple Gray Yellow Orange Pink Purple Gray Red Yellow Gray Gray Yellow Brown\nGray Purple Yellow Yellow Yellow Brown Yellow Gray Purple Yellow Blue Purple Red Yellow Purple Blue Purple Orange Gray Blue\nGray Blue Yellow Brown Pink Blue Yellow Purple Yellow Blue Blue Yellow Pink Orange Gray Pink Brown Pink Purple Orange\nRed Purple Brown Purple Orange Pink Yellow Purple Blue Red Orange Brown Brown Red Orange Purple Yellow Gray Gray Brown\nYellow Blue Gray Brown Purple Yellow Yellow Gray Blue Red Gray Pink Blue Red Orange Orange Blue Yellow Red Yellow\nYellow Blue Pink Brown Yellow Orange Red Yellow Brown Blue Red Pink Blue Yellow Brown Yellow Pink Red Brown Red\nYellow Brown Yellow Purple Orange Purple Gray Red Gray Brown Gray Purple Red Brown Purple Brown Yellow Yellow Yellow Orange\nPink Pink Blue Blue Blue Pink Yellow Purple Yellow Orange Blue Purple Yellow Yellow Red Orange Gray Gray Pink Orange\nPurple Yellow Red Red Brown Blue Yellow Yellow Blue Orange Brown Orange Orange Gray Orange Red Purple Brown Yellow Brown\nPurple Yellow Purple Blue Blue Brown Yellow Pink Red Brown Brown Orange Red Gray Red Pink Purple Pink Brown Brown\nOrange Yellow Gray Orange Purple Purple Red Orange Purple Purple Pink Purple Gray Red Blue Pink Pink Brown Purple Orange\nYellow Red Orange Gray Blue Brown Red Brown Brown Pink Orange Orange Gray Yellow Pink Red Pink Gray Brown Red\nYellow Red Gray Purple Yellow Yellow Gray Purple Orange Gray Pink Gray Blue Yellow Brown Brown Orange Purple Gray Blue\nPink Blue Yellow Purple Pink Blue Gray Brown Gray Brown Brown Blue Orange Yellow Blue Purple Blue Orange Yellow Yellow\nBlue Gray Yellow Red Yellow Orange Blue Pink Red Pink Purple Red Blue Orange Red Brown Blue Brown Pink Blue\n\n\nExample 3\nInput:\nBlue Yellow Blue Purple Brown Blue Red Gray Blue Red Yellow Pink Red Pink Orange Brown Blue Pink Blue Pink\nPink Red Blue Brown Gray Orange Yellow Brown Pink Blue Purple Brown Yellow Yellow Blue Orange Red Gray Brown Blue\nBrown Yellow Blue Purple Blue Yellow Yellow Red Pink Red Gray Blue Blue Pink Gray Purple Gray Pink Red Red\nOrange Orange Orange Blue Blue Red Pink Orange Yellow Yellow Orange Orange Yellow Brown Yellow Pink Gray Red Pink Pink\nPink Purple Pink Blue Brown Brown Pink Brown Orange Red Yellow Purple Pink Red Brown Orange Brown Red Brown Red\nBrown Brown Yellow Orange Purple Yellow Green Pink Purple Red Gray Red Orange Brown Red Purple Orange Purple Purple Red\nBrown Gray Blue Gray Red Yellow Green Purple Orange Orange Blue Brown Yellow Red Purple Pink Brown Pink Pink Purple\nGray Purple Blue Purple Yellow Purple Green Gray Orange Purple Purple Pink Yellow Brown Yellow Brown Blue Pink Red Orange\nPink Brown Yellow Yellow Gray Brown Green Brown Yellow Pink Brown Red Blue Red Blue Orange Blue Pink Gray Purple\nYellow Gray Purple Pink Purple Yellow Green Brown Brown Red Brown Orange Red Blue Gray Yellow Orange Orange Gray Gray\nYellow Yellow Pink Yellow Purple Brown Green Orange Yellow Brown Blue Brown Blue Gray Gray Brown Pink Pink Red Pink\nPurple Pink Red Blue Gray Pink Green Gray Yellow Blue Yellow Pink Gray Gray Purple Purple Brown Red Purple Blue\nYellow Yellow Red Yellow Brown Blue Green Yellow Yellow Brown Purple Brown Red Blue Pink Orange Brown Orange Gray Brown\nPink Blue Yellow Brown Pink Yellow Green Blue Orange Pink Red Orange Blue Gray Orange Orange Brown Brown Purple Orange\nGray Red Gray Blue Pink Purple Green Purple Gray Blue Gray Blue Orange Brown Brown Brown Blue Purple Yellow Yellow\nPink Purple Brown Brown Orange Purple Green Brown Red Blue Yellow Yellow Pink Pink Blue Yellow Orange Gray Yellow Blue\nPink Gray Blue Orange Yellow Brown Orange Blue Pink Orange Yellow Pink Red Purple Blue Gray Blue Pink Brown Red\nGray Orange Brown Orange Gray Red Red Purple Orange Purple Pink Brown Orange Gray Orange Purple Brown Pink Red Blue\nBlue Orange Brown Gray Purple Yellow Yellow Pink Yellow Brown Blue Blue Brown Orange Blue Yellow Purple Gray Pink Red\nGray Gray Brown Yellow Orange Red Orange Red Pink Yellow Blue Purple Brown Orange Brown Purple Pink Orange Red Red\n\nOutput:\nBlue Yellow Yellow Purple Brown Blue Red Gray Blue Red Yellow Pink Red Pink Orange Brown Blue Pink Blue Pink\nPink Red Yellow Brown Gray Orange Yellow Brown Pink Blue Purple Brown Yellow Yellow Blue Orange Red Gray Brown Blue\nBrown Yellow Yellow Purple Blue Yellow Yellow Red Pink Red Gray Blue Blue Pink Gray Purple Gray Pink Red Red\nOrange Orange Orange Blue Blue Red Pink Orange Yellow Yellow Orange Orange Yellow Brown Yellow Pink Gray Red Pink Pink\nPink Purple Pink Blue Brown Brown Pink Brown Orange Red Yellow Purple Pink Red Brown Orange Brown Red Brown Red\nBrown Brown Yellow Orange Purple Yellow Yellow Pink Purple Red Gray Red Orange Brown Red Purple Orange Purple Purple Red\nBrown Gray Blue Gray Red Yellow Yellow Purple Orange Orange Blue Brown Yellow Red Purple Pink Brown Yellow Pink Purple\nGray Purple Blue Purple Yellow Purple Yellow Gray Orange Purple Purple Pink Yellow Brown Yellow Brown Blue Yellow Red Orange\nPink Brown Yellow Yellow Gray Brown Yellow Brown Yellow Pink Brown Red Blue Red Blue Orange Blue Yellow Gray Purple\nYellow Gray Purple Pink Purple Yellow Yellow Brown Brown Red Brown Orange Red Blue Gray Yellow Orange Orange Gray Gray\nYellow Yellow Pink Yellow Purple Brown Yellow Orange Yellow Brown Blue Brown Blue Gray Gray Brown Pink Pink Red Pink\nPurple Pink Red Blue Gray Pink Yellow Gray Yellow Blue Yellow Pink Gray Gray Purple Purple Yellow Red Purple Blue\nYellow Yellow Red Yellow Brown Blue Yellow Yellow Yellow Brown Purple Brown Red Blue Pink Orange Yellow Orange Gray Brown\nPink Blue Yellow Brown Pink Yellow Yellow Blue Orange Pink Red Orange Blue Gray Orange Orange Yellow Brown Purple Orange\nGray Red Gray Blue Pink Purple Yellow Purple Gray Blue Gray Blue Orange Brown Brown Brown Blue Purple Yellow Yellow\nPink Purple Brown Brown Orange Purple Yellow Brown Red Blue Yellow Yellow Pink Pink Blue Yellow Orange Gray Yellow Blue\nPink Gray Blue Orange Yellow Brown Orange Blue Pink Orange Yellow Pink Red Purple Blue Gray Blue Pink Brown Red\nGray Orange Yellow Orange Gray Red Red Purple Orange Purple Pink Brown Orange Gray Orange Purple Brown Pink Red Blue\nBlue Orange Yellow Gray Purple Yellow Yellow Pink Yellow Brown Blue Blue Brown Orange Blue Yellow Purple Gray Pink Red\nGray Gray Yellow Yellow Orange Red Orange Red Pink Yellow Blue Purple Brown Orange Brown Purple Pink Orange Red Red\n\n\nHere is the input grid for the test example:\nInput:\nPink Orange Purple Blue Green Yellow Red Red Green Pink Blue Pink Yellow Brown Brown Blue Purple Brown Purple Green\nBrown Orange Pink Pink Brown Yellow Blue Red Orange Yellow Green Red Brown Green Purple Brown Purple Yellow Green Green\nPurple Red Purple Green Green Pink Pink Red Red Purple Orange Green Red Green Purple Purple Blue Pink Orange Red\nOrange Blue Purple Yellow Gray Blue Blue Purple Purple Green Blue Yellow Brown Pink Purple Orange Brown Green Orange Yellow\nGreen Purple Yellow Orange Gray Orange Orange Brown Yellow Yellow Purple Purple Purple Green Red Purple Green Pink Red Red\nPurple Yellow Brown Red Gray Brown Red Purple Brown Purple Red Yellow Blue Yellow Green Orange Green Red Yellow Yellow\nGreen Yellow Blue Red Gray Purple Pink Yellow Orange Blue Red Green Brown Pink Green Orange Blue Orange Red Purple\nPink Orange Green Orange Green Yellow Purple Red Blue Purple Purple Blue Purple Yellow Orange Blue Brown Red Green Blue\nBlue Brown Green Purple Green Red Yellow Pink Purple Pink Purple Purple Purple Red Orange Yellow Green Brown Red Pink\nPink Purple Pink Green Brown Brown Red Blue Yellow Blue Blue Blue Red Yellow Pink Purple Red Green Orange Green\nPurple Purple Red Blue Red Purple Purple Red Red Orange Pink Pink Red Brown Green Pink Blue Green Green Pink\nGreen Orange Pink Pink Yellow Green Blue Pink Green Orange Red Orange Pink Orange Pink Red Purple Brown Pink Orange\nYellow Red Yellow Purple Orange Yellow Orange Blue Green Red Yellow Brown Red Pink Brown Yellow Yellow Pink Pink Orange\nGreen Red Yellow Brown Purple Green Orange Red Yellow Pink Blue Pink Purple Green Purple Red Yellow Blue Yellow Blue\nRed Brown Blue Red Red Yellow Purple Green Pink Purple Blue Pink Brown Purple Yellow Green Purple Red Red Green\nBrown Brown Blue Brown Purple Blue Orange Orange Yellow Blue Orange Pink Yellow Blue Pink Yellow Pink Pink Red Green\nPurple Red Orange Pink Green Pink Green Blue Brown Green Purple Brown Brown Yellow Blue Green Red Yellow Red Red\nPink Blue Red Pink Orange Orange Red Red Blue Red Brown Brown Purple Blue Purple Yellow Brown Purple Green Pink\nBlue Brown Orange Purple Orange Orange Orange Brown Brown Blue Green Yellow Brown Blue Purple Purple Orange Red Yellow Brown\nPink Red Pink Green Orange Brown Blue Pink Yellow Green Blue Blue Orange Pink Brown Orange Pink Orange 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 Orange Purple Blue Green Yellow Red Yellow Green Pink Blue Pink Yellow Brown Brown Blue Purple Brown Purple Green\nBrown Orange Pink Pink Brown Yellow Blue Yellow Orange Yellow Green Red Brown Green Yellow Brown Purple Yellow Green Green\nPurple Red Purple Green Green Pink Pink Yellow Red Purple Orange Green Red Green Yellow Purple Blue Pink Orange Red\nOrange Blue Purple Yellow Yellow Blue Blue Purple Purple Green Blue Yellow Brown Pink Yellow Orange Brown Green Orange Yellow\nGreen Purple Yellow Orange Yellow Orange Orange Brown Yellow Yellow Purple Purple Purple Green Red Purple Green Pink Red Red\nPurple Yellow Brown Red Yellow Brown Red Purple Brown Purple Red Yellow Blue Yellow Green Orange Green Red Yellow Yellow\nGreen Yellow Blue Red Yellow Purple Pink Yellow Orange Blue Red Green Brown Pink Green Orange Blue Orange Red Purple\nPink Orange Green Orange Green Yellow Purple Red Blue Purple Purple Blue Purple Yellow Orange Blue Brown Red Green Blue\nBlue Brown Green Purple Green Red Yellow Pink Purple Pink Purple Purple Purple Red Orange Yellow Green Brown Red Pink\nPink Purple Pink Green Brown Brown Red Blue Yellow Blue Blue Blue Red Yellow Pink Purple Red Green Orange Green\nPurple Purple Red Blue Red Purple Purple Red Red Orange Pink Pink Red Brown Green Pink Blue Green Green Pink\nGreen Orange Pink Pink Yellow Green Blue Pink Green Orange Red Orange Pink Orange Pink Red Purple Brown Pink Orange\nYellow Red Yellow Purple Orange Yellow Orange Blue Green Red Yellow Brown Red Pink Brown Yellow Yellow Pink Pink Orange\nGreen Red Yellow Brown Purple Green Orange Red Yellow Pink Blue Yellow Purple Green Purple Red Yellow Blue Yellow Blue\nRed Brown Blue Red Red Yellow Purple Green Pink Purple Blue Yellow Brown Purple Yellow Green Purple Red Yellow Green\nBrown Brown Blue Brown Purple Blue Orange Orange Yellow Blue Orange Yellow Yellow Blue Pink Yellow Pink Pink Yellow Green\nPurple Red Orange Pink Green Pink Green Blue Brown Green Purple Brown Brown Yellow Blue Green Red Yellow Yellow Red\nPink Blue Red Pink Yellow Orange Red Red Blue Red Brown Brown Purple Blue Purple Yellow Brown Purple Green Pink\nBlue Brown Orange Purple Yellow Orange Orange Brown Brown Blue Green Yellow Brown Blue Purple Purple Orange Red Yellow Brown\nPink Red Pink Green Yellow Brown Blue Pink Yellow Green Blue Blue Orange Pink Brown Orange Pink Orange Blue Yellow\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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple 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 Brown Brown Brown Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Green Green Green\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Red Red Red 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 Brown Brown Brown Gray Gray Gray Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Gray Gray Gray Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Gray Gray Gray Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Purple Purple Purple\nBlack Black Black Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Purple Purple Purple\nBlack Black Black Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Purple Purple Purple\nPink Pink Pink 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\nPink Pink Pink 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\nPink Pink Pink 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\n\nOutput:\nGreen Green Green Green Green Green Green 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown 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 Brown Brown Brown 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 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 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Brown Brown Brown Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Black 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\nPurple Purple Purple Black 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\nPurple Purple Purple Black 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\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red 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 Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nPink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nGreen Green Green Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nGreen Green Green Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Black Black Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange\nYellow Yellow Yellow Brown Brown Brown Black Black Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange\nYellow Yellow Yellow Brown Brown Brown Black Black Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\n\nOutput:\nGreen Green Green Green Green Green Green 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue 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 Brown Brown Brown Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Green Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Green Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Green Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red 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:\nBlack Black Gray Gray Brown Brown Brown Brown Orange Orange Brown Brown Yellow Yellow Pink Pink Orange Orange Pink Pink\nBlack Black Gray Gray Brown Brown Brown Brown Orange Orange Brown Brown Yellow Yellow Pink Pink Orange Orange Pink Pink\nBlack Black Brown Brown Yellow Yellow Blue Blue Blue Blue Purple Purple Brown Brown Red Red Brown Brown Brown Brown\nBlack Black Brown Brown Yellow Yellow Blue Blue Blue Blue Purple Purple Brown Brown Red Red Brown Brown Brown Brown\nBlack Black Gray Gray Green Green Green Green Brown Brown Gray Gray Purple Purple Gray Gray Brown Brown Green Green\nBlack Black Gray Gray Green Green Green Green Brown Brown Gray Gray Purple Purple Gray Gray Brown Brown Green Green\nBlack Black Green Green Purple Purple Brown Brown Red Red Pink Pink Orange Orange Brown Brown Brown Brown Green Green\nBlack Black Green Green Purple Purple Brown Brown Red Red Pink Pink Orange Orange Brown Brown Brown Brown Green Green\nBlack Black Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Pink Pink Yellow Yellow Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Pink Pink Yellow Yellow Brown Brown\nBlack Black Brown Brown Yellow Yellow Green Green Orange Orange Brown Brown Purple Purple Brown Brown Brown Brown Gray Gray\nBlack Black Brown Brown Yellow Yellow Green Green Orange Orange Brown Brown Purple Purple Brown Brown Brown Brown Gray Gray\nBlack Black Gray Gray Brown Brown Green Green Brown Brown Purple Purple Brown Brown Blue Blue Red Red Red Red\nBlack Black Gray Gray Brown Brown Green Green Brown Brown Purple Purple Brown Brown Blue Blue Red Red Red Red\nBlack Black Gray Gray Yellow Yellow Red Red Gray Gray Gray Gray Brown Brown Orange Orange Blue Blue Pink Pink\nBlack Black Gray Gray Yellow Yellow Red Red Gray Gray Gray Gray Brown Brown Orange Orange Blue Blue Pink Pink\nBlack Black Yellow Yellow Brown Brown Red Red Brown Brown Purple Purple Orange Orange Brown Brown Pink Pink Brown Brown\nBlack Black Yellow Yellow Brown Brown Red Red Brown Brown Purple Purple Orange Orange Brown Brown Pink Pink Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Gray Blue Blue Blue Blue Orange Orange Blue Blue Yellow Yellow Pink Pink Orange Orange Pink Pink\nBlack Black Gray Gray Blue Blue Blue Blue Orange Orange Blue Blue Yellow Yellow Pink Pink Orange Orange Pink Pink\nBlack Black Blue Blue Yellow Yellow Blue Blue Blue Blue Purple Purple Blue Blue Red Red Blue Blue Blue Blue\nBlack Black Blue Blue Yellow Yellow Blue Blue Blue Blue Purple Purple Blue Blue Red Red Blue Blue Blue Blue\nBlack Black Gray Gray Green Green Green Green Blue Blue Gray Gray Purple Purple Gray Gray Blue Blue Green Green\nBlack Black Gray Gray Green Green Green Green Blue Blue Gray Gray Purple Purple Gray Gray Blue Blue Green Green\nBlack Black Green Green Purple Purple Blue Blue Red Red Pink Pink Orange Orange Blue Blue Blue Blue Green Green\nBlack Black Green Green Purple Purple Blue Blue Red Red Pink Pink Orange Orange Blue Blue Blue Blue Green Green\nBlack Black Blue Blue Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue Pink Pink Yellow Yellow Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue Pink Pink Yellow Yellow Blue Blue\nBlack Black Blue Blue Yellow Yellow Green Green Orange Orange Blue Blue Purple Purple Blue Blue Blue Blue Gray Gray\nBlack Black Blue Blue Yellow Yellow Green Green Orange Orange Blue Blue Purple Purple Blue Blue Blue Blue Gray Gray\nBlack Black Gray Gray Blue Blue Green Green Blue Blue Purple Purple Blue Blue Blue Blue Red Red Red Red\nBlack Black Gray Gray Blue Blue Green Green Blue Blue Purple Purple Blue Blue Blue Blue Red Red Red Red\nBlack Black Gray Gray Yellow Yellow Red Red Gray Gray Gray Gray Blue Blue Orange Orange Blue Blue Pink Pink\nBlack Black Gray Gray Yellow Yellow Red Red Gray Gray Gray Gray Blue Blue Orange Orange Blue Blue Pink Pink\nBlack Black Yellow Yellow Blue Blue Red Red Blue Blue Purple Purple Orange Orange Blue Blue Pink Pink Blue Blue\nBlack Black Yellow Yellow Blue Blue Red Red Blue Blue Purple Purple Orange Orange Blue Blue Pink Pink Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Gray Gray Green Green Purple Purple Yellow Yellow Red Red Green Green Yellow Yellow Green Green Green Green\nBlack Black Gray Gray Green Green Purple Purple Yellow Yellow Red Red Green Green Yellow Yellow Green Green Green Green\nBlack Black Purple Purple Purple Purple Green Green Pink Pink Green Green Pink Pink Green Green Pink Pink Green Green\nBlack Black Purple Purple Purple Purple Green Green Pink Pink Green Green Pink Pink Green Green Pink Pink Green Green\nBlack Black Pink Pink Gray Gray Red Red Green Green Green Green Green Green Purple Purple Pink Pink Orange Orange\nBlack Black Pink Pink Gray Gray Red Red Green Green Green Green Green Green Purple Purple Pink Pink Orange Orange\nBlack Black Green Green Blue Blue Green Green Pink Pink Gray Gray Yellow Yellow Blue Blue Red Red Green Green\nBlack Black Green Green Blue Blue Green Green Pink Pink Gray Gray Yellow Yellow Blue Blue Red Red Green Green\nBlack Black Red Red Yellow Yellow Green Green Blue Blue Pink Pink Green Green Gray Gray Purple Purple Gray Gray\nBlack Black Red Red Yellow Yellow Green Green Blue Blue Pink Pink Green Green Gray Gray Purple Purple Gray Gray\nBlack Black Brown Brown Brown Brown Green Green Orange Orange Orange Orange Pink Pink Orange Orange Brown Brown Green Green\nBlack Black Brown Brown Brown Brown Green Green Orange Orange Orange Orange Pink Pink Orange Orange Brown Brown Green Green\nBlack Black Red Red Blue Blue Green Green Purple Purple Green Green Red Red Purple Purple Brown Brown Pink Pink\nBlack Black Red Red Blue Blue Green Green Purple Purple Green Green Red Red Purple Purple Brown Brown Pink Pink\nBlack Black Gray Gray Orange Orange Brown Brown Green Green Pink Pink Red Red Brown Brown Brown Brown Red Red\nBlack Black Gray Gray Orange Orange Brown Brown Green Green Pink Pink Red Red Brown Brown Brown Brown Red Red\nBlack Black Green Green Purple Purple Yellow Yellow Gray Gray Gray Gray Green Green Green Green Yellow Yellow Orange Orange\nBlack Black Green Green Purple Purple Yellow Yellow Gray Gray Gray Gray Green Green Green Green Yellow Yellow Orange Orange\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\n\nOutput:\nBlack Black Gray Gray Blue Blue Purple Purple Yellow Yellow Red Red Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlack Black Gray Gray Blue Blue Purple Purple Yellow Yellow Red Red Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlack Black Purple Purple Purple Purple Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue\nBlack Black Purple Purple Purple Purple Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue\nBlack Black Pink Pink Gray Gray Red Red Blue Blue Blue Blue Blue Blue Purple Purple Pink Pink Orange Orange\nBlack Black Pink Pink Gray Gray Red Red Blue Blue Blue Blue Blue Blue Purple Purple Pink Pink Orange Orange\nBlack Black Blue Blue Blue Blue Blue Blue Pink Pink Gray Gray Yellow Yellow Blue Blue Red Red Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Pink Pink Gray Gray Yellow Yellow Blue Blue Red Red Blue Blue\nBlack Black Red Red Yellow Yellow Blue Blue Blue Blue Pink Pink Blue Blue Gray Gray Purple Purple Gray Gray\nBlack Black Red Red Yellow Yellow Blue Blue Blue Blue Pink Pink Blue Blue Gray Gray Purple Purple Gray Gray\nBlack Black Brown Brown Brown Brown Blue Blue Orange Orange Orange Orange Pink Pink Orange Orange Brown Brown Blue Blue\nBlack Black Brown Brown Brown Brown Blue Blue Orange Orange Orange Orange Pink Pink Orange Orange Brown Brown Blue Blue\nBlack Black Red Red Blue Blue Blue Blue Purple Purple Blue Blue Red Red Purple Purple Brown Brown Pink Pink\nBlack Black Red Red Blue Blue Blue Blue Purple Purple Blue Blue Red Red Purple Purple Brown Brown Pink Pink\nBlack Black Gray Gray Orange Orange Brown Brown Blue Blue Pink Pink Red Red Brown Brown Brown Brown Red Red\nBlack Black Gray Gray Orange Orange Brown Brown Blue Blue Pink Pink Red Red Brown Brown Brown Brown Red Red\nBlack Black Blue Blue Purple Purple Yellow Yellow Gray Gray Gray Gray Blue Blue Blue Blue Yellow Yellow Orange Orange\nBlack Black Blue Blue Purple Purple Yellow Yellow Gray Gray Gray Gray Blue Blue Blue Blue Yellow Yellow Orange Orange\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Green Green Orange Orange Gray Gray Gray Gray Pink Pink Blue Blue Red Red Purple Purple Red Red\nBlack Black Green Green Orange Orange Gray Gray Gray Gray Pink Pink Blue Blue Red Red Purple Purple Red Red\nBlack Black Pink Pink Red Red Yellow Yellow Brown Brown Purple Purple Orange Orange Blue Blue Blue Blue Brown Brown\nBlack Black Pink Pink Red Red Yellow Yellow Brown Brown Purple Purple Orange Orange Blue Blue Blue Blue Brown Brown\nBlack Black Blue Blue Green Green Green Green Orange Orange Pink Pink Red Red Gray Gray Orange Orange Gray Gray\nBlack Black Blue Blue Green Green Green Green Orange Orange Pink Pink Red Red Gray Gray Orange Orange Gray Gray\nBlack Black Pink Pink Blue Blue Yellow Yellow Green Green Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray\nBlack Black Pink Pink Blue Blue Yellow Yellow Green Green Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray\nBlack Black Gray Gray Pink Pink Green Green Brown Brown Orange Orange Green Green Green Green Blue Blue Gray Gray\nBlack Black Gray Gray Pink Pink Green Green Brown Brown Orange Orange Green Green Green Green Blue Blue Gray Gray\nBlack Black Pink Pink Yellow Yellow Blue Blue Pink Pink Orange Orange Gray Gray Brown Brown Orange Orange Pink Pink\nBlack Black Pink Pink Yellow Yellow Blue Blue Pink Pink Orange Orange Gray Gray Brown Brown Orange Orange Pink Pink\nBlack Black Gray Gray Blue Blue Red Red Purple Purple Brown Brown Orange Orange Gray Gray Yellow Yellow Orange Orange\nBlack Black Gray Gray Blue Blue Red Red Purple Purple Brown Brown Orange Orange Gray Gray Yellow Yellow Orange Orange\nBlack Black Gray Gray Red Red Orange Orange Blue Blue Gray Gray Green Green Red Red Yellow Yellow Pink Pink\nBlack Black Gray Gray Red Red Orange Orange Blue Blue Gray Gray Green Green Red Red Yellow Yellow Pink Pink\nBlack Black Orange Orange Pink Pink Gray Gray Red Red Brown Brown Red Red Gray Gray Green Green Orange Orange\nBlack Black Orange Orange Pink Pink Gray Gray Red Red Brown Brown Red Red Gray Gray Green Green Orange Orange\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\n\nOutput:\nBlack Black Green Green Orange Orange Blue Blue Blue Blue Pink Pink Blue Blue Red Red Purple Purple Red Red\nBlack Black Green Green Orange Orange Blue Blue Blue Blue Pink Pink Blue Blue Red Red Purple Purple Red Red\nBlack Black Pink Pink Red Red Yellow Yellow Brown Brown Purple Purple Orange Orange Blue Blue Blue Blue Brown Brown\nBlack Black Pink Pink Red Red Yellow Yellow Brown Brown Purple Purple Orange Orange Blue Blue Blue Blue Brown Brown\nBlack Black Blue Blue Green Green Green Green Orange Orange Pink Pink Red Red Blue Blue Orange Orange Blue Blue\nBlack Black Blue Blue Green Green Green Green Orange Orange Pink Pink Red Red Blue Blue Orange Orange Blue Blue\nBlack Black Pink Pink Blue Blue Yellow Yellow Green Green Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue\nBlack Black Pink Pink Blue Blue Yellow Yellow Green Green Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue\nBlack Black Blue Blue Pink Pink Green Green Brown Brown Orange Orange Green Green Green Green Blue Blue Blue Blue\nBlack Black Blue Blue Pink Pink Green Green Brown Brown Orange Orange Green Green Green Green Blue Blue Blue Blue\nBlack Black Pink Pink Yellow Yellow Blue Blue Pink Pink Orange Orange Blue Blue Brown Brown Orange Orange Pink Pink\nBlack Black Pink Pink Yellow Yellow Blue Blue Pink Pink Orange Orange Blue Blue Brown Brown Orange Orange Pink Pink\nBlack Black Blue Blue Blue Blue Red Red Purple Purple Brown Brown Orange Orange Blue Blue Yellow Yellow Orange Orange\nBlack Black Blue Blue Blue Blue Red Red Purple Purple Brown Brown Orange Orange Blue Blue Yellow Yellow Orange Orange\nBlack Black Blue Blue Red Red Orange Orange Blue Blue Blue Blue Green Green Red Red Yellow Yellow Pink Pink\nBlack Black Blue Blue Red Red Orange Orange Blue Blue Blue Blue Green Green Red Red Yellow Yellow Pink Pink\nBlack Black Orange Orange Pink Pink Blue Blue Red Red Brown Brown Red Red Blue Blue Green Green Orange Orange\nBlack Black Orange Orange Pink Pink Blue Blue Red Red Brown Brown Red Red Blue Blue Green Green Orange Orange\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Red Red Red Blue Blue Red Red Blue Blue Brown Brown Purple Purple Orange Orange Brown Brown\nBlack Black Red Red Red Red Blue Blue Red Red Blue Blue Brown Brown Purple Purple Orange Orange Brown Brown\nBlack Black Red Red Yellow Yellow Purple Purple Brown Brown Blue Blue Brown Brown Red Red Pink Pink Purple Purple\nBlack Black Red Red Yellow Yellow Purple Purple Brown Brown Blue Blue Brown Brown Red Red Pink Pink Purple Purple\nBlack Black Red Red Red Red Red Red Red Red Purple Purple Pink Pink Brown Brown Red Red Orange Orange\nBlack Black Red Red Red Red Red Red Red Red Purple Purple Pink Pink Brown Brown Red Red Orange Orange\nBlack Black Orange Orange Red Red Yellow Yellow Red Red Gray Gray Orange Orange Green Green Red Red Red Red\nBlack Black Orange Orange Red Red Yellow Yellow Red Red Gray Gray Orange Orange Green Green Red Red Red Red\nBlack Black Brown Brown Purple Purple Brown Brown Purple Purple Blue Blue Gray Gray Red Red Gray Gray Purple Purple\nBlack Black Brown Brown Purple Purple Brown Brown Purple Purple Blue Blue Gray Gray Red Red Gray Gray Purple Purple\nBlack Black Brown Brown Purple Purple Yellow Yellow Red Red Blue Blue Yellow Yellow Brown Brown Red Red Red Red\nBlack Black Brown Brown Purple Purple Yellow Yellow Red Red Blue Blue Yellow Yellow Brown Brown Red Red Red Red\nBlack Black Pink Pink Red Red Blue Blue Blue Blue Orange Orange Purple Purple Blue Blue Brown Brown Purple Purple\nBlack Black Pink Pink Red Red Blue Blue Blue Blue Orange Orange Purple Purple Blue Blue Brown Brown Purple Purple\nBlack Black Red Red Red Red Green Green Green Green Red Red Gray Gray Red Red Brown Brown Gray Gray\nBlack Black Red Red Red Red Green Green Green Green Red Red Gray Gray Red Red Brown Brown Gray Gray\nBlack Black Green Green Red Red Yellow Yellow Green Green Yellow Yellow Blue Blue Gray Gray Red Red Yellow Yellow\nBlack Black Green Green Red Red Yellow Yellow Green Green Yellow Yellow Blue Blue Gray Gray Red Red Yellow Yellow\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Purple Purple Orange Orange Brown Brown\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Purple Purple Orange Orange Brown Brown\nBlack Black Blue Blue Yellow Yellow Purple Purple Brown Brown Blue Blue Brown Brown Blue Blue Pink Pink Purple Purple\nBlack Black Blue Blue Yellow Yellow Purple Purple Brown Brown Blue Blue Brown Brown Blue Blue Pink Pink Purple Purple\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Pink Pink Brown Brown Blue Blue Orange Orange\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Pink Pink Brown Brown Blue Blue Orange Orange\nBlack Black Orange Orange Blue Blue Yellow Yellow Blue Blue Gray Gray Orange Orange Green Green Blue Blue Blue Blue\nBlack Black Orange Orange Blue Blue Yellow Yellow Blue Blue Gray Gray Orange Orange Green Green Blue Blue Blue Blue\nBlack Black Brown Brown Purple Purple Brown Brown Purple Purple Blue Blue Gray Gray Blue Blue Gray Gray Purple Purple\nBlack Black Brown Brown Purple Purple Brown Brown Purple Purple Blue Blue Gray Gray Blue Blue Gray Gray Purple Purple\nBlack Black Brown Brown Purple Purple Yellow Yellow Blue Blue Blue Blue Yellow Yellow Brown Brown Blue Blue Blue Blue\nBlack Black Brown Brown Purple Purple Yellow Yellow Blue Blue Blue Blue Yellow Yellow Brown Brown Blue Blue Blue Blue\nBlack Black Pink Pink Blue Blue Blue Blue Blue Blue Orange Orange Purple Purple Blue Blue Brown Brown Purple Purple\nBlack Black Pink Pink Blue Blue Blue Blue Blue Blue Orange Orange Purple Purple Blue Blue Brown Brown Purple Purple\nBlack Black Blue Blue Blue Blue Green Green Green Green Blue Blue Gray Gray Blue Blue Brown Brown Gray Gray\nBlack Black Blue Blue Blue Blue Green Green Green Green Blue Blue Gray Gray Blue Blue Brown Brown Gray Gray\nBlack Black Green Green Blue Blue Yellow Yellow Green Green Yellow Yellow Blue Blue Gray Gray Blue Blue Yellow Yellow\nBlack Black Green Green Blue Blue Yellow Yellow Green Green Yellow Yellow Blue Blue Gray Gray Blue Blue Yellow Yellow\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Red Red Red Red Red Red Red 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\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 Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Green Green Green 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 Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red 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\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 Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Black\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green 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 Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Red 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\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 Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Purple\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Black Black Black Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Green Black Green Black Black\nBlack Green Green Black Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Black Green Green Green Black Black\nBlack Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Black\nBlack Pink Pink Black Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Green Green Black\nBlack Black Black Black Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Black Black Black Black Green Black\nBlack Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black\nBlack Black Black Black Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Black Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Black Gray Black\nBlack Black Black Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Pink Pink Pink Black Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Black Pink Black\nBlack 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 Yellow\nBrown Yellow Black Brown Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Purple\nBlack Black Black Black Blue Black Black Black Black Black Black\nBlack Brown Black Black Black Black Purple Black Black Brown Black\nBlack Black Gray Blue Black Black Brown Black Yellow Black Black\nBlack Black Gray Black Black Black Brown Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Gray Black Black Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Blue\nBlack Black Black Black Green Black Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Blue Black\nBlack Black Blue Green Black Black Blue Black Blue Black Black\nBlack Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Blue Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Orange Black\nBlack Pink Black Black Gray Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black\nGreen Purple Black Black Green Black Black Black Black\nBlack Green Orange Black Black Black Black Black Black\nGray Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Blue Black\nBlack Blue Black Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlue Red Black Black Blue Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlue Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Green 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 Green Black Black Black Black Black Pink\nBlack Black Green Black Black Black Black Black Gray Pink\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 Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Blue 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 Blue Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Black Black Red Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Purple Black Black\nGray Black Black Brown Brown Brown Black Black\nBlack Purple Purple Black Purple Black Red Black\nBlack Black Black Black Black Black Brown Red\nBlack Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black\nPurple Black Red Brown Black Black Red Black\nBlack Black Red Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Blue Black Black\nGreen Black Black Blue Blue Blue Black Black\nBlack Blue Blue Black Blue Black Blue Black\nBlack Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlue Black Blue Blue Black Black Blue Black\nBlack Black Blue 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:\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Black Black Black Black Blue\nBlack Black Black Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Blue Blue Black Black\nBlue Blue Blue Black Blue Black Black Blue Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue 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 Black Black Black Black Yellow\nBlack Black Black Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Blue Blue Black Black\nYellow Yellow Yellow Black Blue Black Black Blue Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue 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\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Black\nBlue Black Black Black Black Blue Black Black Black Blue Black Black Blue Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue 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\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Black\nYellow Black Black Black Black Yellow Black Black Black Yellow Black Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Black Blue Black Blue Black Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Black Blue Black Blue Black Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Black Blue Black Blue Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Blue Blue Black Black Blue Black Blue Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Blue Blue Black Black Blue Black Blue Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Blue Blue Black Black Blue Blue Blue Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Black Black Yellow Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Black Blue Blue Black Black Yellow Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Black Blue Blue Black Black Yellow Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Black Blue Blue Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Black Blue 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\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 Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Yellow Black Black\nBlack Black Yellow Black Black Black\nBlack Black Black Black Black Black\nPurple Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Green Black Black\nBlack Black Green Black Black Black\nBlack Black Black Black Black Black\nPink Black Black Black Black Black\n\nOutput:\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Green Black Black\nBlack Black Green Black Black Black\nBlack Black Black Black Black Black\nOrange Black Black Black Black Black\n\nOutput:\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Gray Black Black\nBlack Black Gray Black Black Black\nBlack Black Black Black Black Black\nGray 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 Gray Black Gray Black Gray\nGray Black Gray Black Gray Black\nBlack Gray Black Gray Black Gray\nGray Black Gray Black Gray Black\nBlack Gray Black Gray Black Gray\nGray Black Gray Black Gray 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 Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Green 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 Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\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\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 Purple Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Purple 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 Purple Black Purple Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Purple Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Black Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Purple Black Black Black Black Black Black Black\nPurple Black Purple Black Black Black Black Black Black Black Black Black\nPurple Black Black Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple 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:\nBlue Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Yellow Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Blue Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Blue Black Black Black Blue Black Black\n\nOutput:\nBlack Blue Black Black Black Black Yellow Black Black Black Black Black\nYellow Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Blue Black\nBlack Yellow Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Blue Black Black Black Blue Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Yellow 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 Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Yellow Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Black Black Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Blue Black Blue Black Black Black Black Black Black\nBlue Black Black Black Black Blue Black Black Yellow Black Black\nBlack Black Black Black Blue Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Blue Yellow Black\nBlack Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Yellow Black Black Black Black Black Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Blue Black Blue Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Black Black Blue Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black\nBlack Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Yellow Blue Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Blue Black Blue 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Blue Black Black Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue 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 Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black 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 Black Black Pink Pink Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black 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 Black Black\nBlack Black Black 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 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 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 Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black 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 Black Black Pink Pink Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black 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 Black Black\nBlack Black Black 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 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 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 Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange 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\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 Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange 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\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 Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack 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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\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\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack 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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\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\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black\nYellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink 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 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 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 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 Pink 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 Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Pink Pink 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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Pink Pink Pink Pink 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 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 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Black Black\n\nOutput:\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\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 Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black 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 Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nYellow Yellow Yellow Yellow 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 Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Green Green Black Black Black Black Black\nBlack Black Black Black Blue Black Black Red Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nRed Gray Gray Black Black Blue Black Gray Purple Black\nBlack Black Red Black Blue Gray Black Black Purple Black\nBlack Black Brown Black Blue 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 Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Green Green Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nYellow Gray Gray Black Black Yellow Black Gray Purple Black\nBlack Black Yellow Black Blue Yellow Black Black Purple Black\nBlack Black Yellow Black Blue 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 Blue\nGray Brown Orange Purple Black Black Black Black Gray Gray\nBlack Black Black Black Black Green Black Black Black Gray\nBlack Black Black Yellow Yellow Yellow Blue 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 Black Black Black Black\nBlack Black Brown Black Black Black Red Black Black Black\nBlack Black Brown Brown Red Black Red Black Black Black\nBlack Black Black Black Black Black Orange Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Gray Gray\nBlack Black Black Black Black Yellow Black Black Black Gray\nBlack Black Black Yellow Yellow Yellow Yellow 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 Black Black Black Black\nBlack Black Brown Black Black Black Red Black Black Black\nBlack Black Brown Brown Yellow Black Red Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Gray Gray Green Blue\nBlack Black Black Purple Purple Black Black Black Black Black\nBlack Black Blue Purple Brown Pink Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Pink Black Blue Orange\nBlack Black Black Black Black Black Pink Black Black Black\nGray Black Black Black Black Black Yellow Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Gray Gray Yellow Yellow\nBlack Black Black Purple Purple Black Black Black Black Black\nBlack Black Yellow Purple Yellow Yellow Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Pink Black Yellow Yellow\nBlack Black Black Black Black Black Pink Black Black Black\nGray Black Black Black Black Black Yellow Black Black Black\nGray Gray 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 Blue Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue 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 Yellow Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow 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 Orange Black Black\nBlack Brown Black Gray Black\nBrown Black Blue Black Black\nBlack Black Black Black Black\nBlack Pink Blue Black Black\nBlack Black Black Black Purple\nBlack Gray Pink Orange Purple\n\nOutput:\nOrange Orange Black Orange Orange\nOrange Purple Orange Pink Orange\nPurple Orange Yellow Orange Orange\nOrange Orange Orange Orange Orange\nOrange Gray Yellow Orange Orange\nOrange Orange Orange Orange Brown\nOrange Pink Gray Black Brown\n\n\nExample 2\nInput:\nBlack Black Black Purple Orange Gray\nBlack Black Black Yellow Black Black\nBlack Black Green Yellow Black Blue\nBlack Black Pink Red Black Black\nBlack Black Black Black Gray Black\n\nOutput:\nOrange Orange Orange Brown Black Pink\nOrange Orange Orange Blue Orange Orange\nOrange Orange Red Blue Orange Yellow\nOrange Orange Gray Green Orange Orange\nOrange Orange Orange Orange Pink Orange\n\n\nExample 3\nInput:\nBlack Yellow Black Black Pink Black\nBlue Black Black Black Black Black\nBlack Pink Blue Black Black Black\nBrown Black Black Purple Brown Black\nBlack Black Black Black Black Black\nBlack Orange Black Black Purple Gray\n\nOutput:\nOrange Blue Orange Orange Gray Orange\nYellow Orange Orange Orange Orange Orange\nOrange Gray Yellow Orange Orange Orange\nPurple Orange Orange Brown Purple Orange\nOrange Orange Orange Orange Orange Orange\nOrange Black Orange Orange Brown Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black\nPurple Black Orange Purple\nBlack Black Black Brown\nBlack 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 Orange Orange Orange\nBrown Orange Black Brown\nOrange Orange Orange Purple\nOrange Orange Orange Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Green Green Green Green Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Yellow Yellow Black Black Black Black\nBlack Black Purple Purple Black Black Green Green Green Green Yellow Yellow Black Black Black Black\nBlack Black Purple Purple Black Black Green Green Green Green Yellow Yellow Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Purple Purple Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Blue Blue Purple Purple Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Pink Pink Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Pink Pink Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Red Red Black Black Black Black\nBlack Black Red Red Black Black Blue Blue Blue Blue Red Red Black Black Black Black\nBlack Black Red Red Black Black Blue Blue Blue Blue Red Red Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Red Red Green Green Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack 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\nBlack 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nPurple Purple Black Black Black Black Black Black Black Black Blue Blue Black Black\nPurple Purple Black Black Black Black Black Black Black Black Blue Blue 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\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Purple Purple Purple Purple\nBlack Black Black Black Blue Blue Blue Blue Black Black Purple Purple Purple Purple\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nRed Red Black Black Black Black Black Black Black Black Red Red Black Black\nRed Red Black Black Black Black Black Black Black Black Red Red Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Purple Purple Red Red Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Red Red Purple Purple Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Red Red\nPink Pink Black Black Black Black Black Black Red Red Red Red Red Red\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\nPink Pink Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nPink Pink Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nPink Pink Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Green Green 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Red Red\n\nOutput:\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\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\nBlue Blue Black Black Black Black Black Black Red Red Black Black Red Red\nBlue Blue Black Black Black Black Black Black Red Red Black Black Red Red\nBlue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Red Red Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Red Red Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Red Red Black Black Black Black Black Black Black Black Black Black Brown Brown\nPurple Purple Black Black Red Red Black Black Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBrown Brown Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nRed Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nRed Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nRed Red Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nRed Red Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nRed Red Black Black Black Black Black Black Green Green Green Green Green Green 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"
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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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black\nBlack Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black\nBlack Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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"
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{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
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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 Black Orange Orange Orange Orange Black Orange Orange Black Black Orange Orange Orange Black Orange Black Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange\nOrange Orange Black Black Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Black Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Black Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Black Black\nOrange Black Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Brown Brown Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Brown Brown Black Orange Orange\nBlack Black Black Orange Black Orange Orange Orange Black Black Black Orange Orange Orange Black Orange Black Orange Orange Black\nOrange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Black Orange Orange Orange Black Orange Black Orange Orange Orange Black Black Orange Orange Orange\nGreen Green Orange Orange Orange Orange Black Black Black Black Orange Black Orange Black Orange Orange Orange Orange Orange Orange\nGreen Green Orange Orange Black Black Orange Black Orange Orange Black Orange Black Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange\nBlack Orange Black Orange Orange Orange Black Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Black Orange Black\nOrange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Black Orange\nOrange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Black Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black Orange\nOrange Black Orange Black Black Black Orange Orange Black Black Orange Black Orange Orange Black Orange Black Orange Black Orange\n\nOutput:\nOrange Black Gray Gray Gray Gray Black Orange Orange Black Black Gray Gray Orange Black Orange Black Orange Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Orange Orange Gray Gray Black Gray Gray Black Gray Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Orange Gray Gray Gray\nGray Gray Black Gray Gray Black Orange Black Gray Gray Gray Black Gray Gray Gray Black Orange Black Orange Black\nBlack Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Orange Black Black Gray Gray Orange Black Black\nOrange Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Orange Black Gray Gray Black Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black Black Gray Gray Orange Gray Gray\nOrange Gray Gray Gray Gray Gray Black Black Orange Gray Gray Gray Gray Gray Orange Gray Gray Black Gray Gray\nBlack Black Black Orange Black Gray Gray Orange Black Black Black Gray Gray Gray Black Orange Black Gray Gray Black\nOrange Black Orange Orange Orange Gray Gray Black Orange Orange Orange Orange Black Gray Gray Orange Orange Gray Gray Gray\nOrange Orange Orange Black Orange Black Orange Orange Orange Black Orange Black Orange Gray Gray Black Black Gray Gray Gray\nGray Gray Gray Gray Orange Orange Black Black Black Black Orange Black Orange Black Orange Orange Orange Gray Gray Gray\nGray Gray Gray Gray Black Black Orange Black Gray Gray Black Orange Black Orange Black Black Black Gray Gray Gray\nOrange Orange Orange Black Gray Gray Orange Orange Gray Gray Gray Black Orange Gray Gray Gray Gray Gray Black Orange\nBlack Orange Black Gray Gray Gray Black Orange Black Gray Gray Orange Black Gray Gray Gray Gray Gray Orange Orange\nOrange Black Orange Gray Gray Gray Gray Gray Gray Gray Black Orange Orange Gray Gray Black Orange Black Orange Black\nGray Gray Orange Black Black Gray Gray Gray Gray Gray Gray Gray Black Orange Black Orange Orange Orange Black Orange\nGray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Black Orange Orange Black\nBlack Orange Orange Orange Gray Gray Black Gray Gray Gray Gray Black Black Gray Gray Orange Orange Orange Black Orange\nOrange Black Orange Black Black Black Orange Orange Black Black Orange Black Orange Orange Black Orange Black Orange Black Orange\n\n\nExample 2\nInput:\nGreen Green Green Black Green Black Green Green Black Black Black Green Green Green Green Black Green Black Green Black\nGreen Black Green Green Green Black Green Green Green Green Black Green Green Green Green Green Green Green Black Green\nBlack Green Black Green Green Green Black Green Green Green Green Green Black Green Green Green Black Green Green Black\nBlack Green Green Green Green Green Black Green Black Black Black Black Black Black Black Black Black Green Black Green\nGreen Green Green Black Black Black Green Green Black Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Black Green Black Green Black Green Green Green Black Green Green Green Green Green Green Green Green Green\nGreen Black Black Green Green Black Green Black Black Black Green Green Green Green Black Green Green Green Green Green\nGreen Green Green Black Green Green Black Green Green Black Green Green Green Green Green Black Black Green Green Green\nBlack Green Black Green Green Green Green Green Green Green Green Green Black Green Green Green Green Green Blue Blue\nBlack Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Blue Blue\nGreen Green Green Black Black Black 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 Black Black Black Green\nBlack Green Green Green Green Green Black Black Black Black Green Black Green Black Green Black Black Green Green Black\nGreen Green Green Black Green Black Green Green Green Black Green Black Green Black Green Green Black Black Green Green\nGreen Green Green Green Black Black Black Green Black Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Black Green Green Green Green Green Green Green Green Green Black Green Black Black\nGreen Green Black Green Black Green Green Black Black Green Black Black Green Green Black Green Black Green Green Black\nGreen Black Green Green Green Green Black Green Black Black Green Green Green Green Green Green Green Black Green Black\nGreen Green Green Green Black Green Green Green Green Green Green Green Green Green Green Black Green Black Black Black\nGreen Green Green Green Black Green Green Green Green Green Black Green Green Green Green Black Green Green Black Green\n\nOutput:\nGreen Green Green Black Green Black Gray Gray Black Black Black Gray Gray Gray Gray Black Green Black Green Black\nGreen Black Green Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Green Green Black Green\nBlack Green Black Gray Gray Gray Black Gray Gray Gray Green Green Black Gray Gray Gray Black Green Green Black\nBlack Gray Gray Gray Gray Gray Black Green Black Black Black Black Black Black Black Black Black Green Black Green\nGray Gray Gray Black Black Black Green Green Black Green Green Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Black Green Black Green Black Green Green Green Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Black Black Green Green Black Green Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nGreen Green Green Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray\nBlack Green Black Gray Gray Gray Gray Gray Gray Green Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Green\nBlack Gray Gray Gray Gray Gray Black Black Black Black Green Black Green Black Green Black Black Green Green Black\nGray Gray Gray Black Green Black Green Green Green Black Green Black Green Black Gray Gray Black Black Gray Gray\nGray Gray Gray Green Black Black Black Green Black Gray Gray Gray Gray Gray Gray Gray Green Green Gray Gray\nGray Gray Black Green Green Green Black Green Green Gray Gray Gray Gray Gray Gray Gray Black Green Black Black\nGray Gray Black Green Black Green Green Black Black Green Black Black Gray Gray Black Green Black Green Green Black\nGreen Black Gray Gray Green Green Black Green Black Black Gray Gray Gray Gray Gray Green Green Black Green Black\nGray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Green Black Black Black\nGray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black Green Green Black Green\n\n\nExample 3\nInput:\nBlack Black Black Black Green Green Black Green Green Black Green Black Green Black Black Black Black Green Green Green\nBlack Green Green Green Black Green Green Green Black Green Green Green Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Black Green Black Black Green Green Green Green Black Green Black Black Green Green Green\nGreen Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Black Green Green Green\nGreen Black Green Green Green Green Black Green Green Green Orange Orange Green Green Green Green Black Green Black Green\nBlack Green Black Green Green Green Green Green Green Black Orange Orange Black Green Green Green Green Green Black Green\nGreen Green Green Green Green Black Green Black Black Green Green Green Green Green Green Green Black Green Black Green\nGreen Green Black Black Green Green Green Green Green Black Green Green Black Green Green Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Black Green Black Green Green Green Green Green Green\nBlack Green Green Black Green Black Green Green Black Green Green Green Green Green Green Green Black Black Green Black\nGreen Green Green Green Green Black Black Green Green Green Black Green Green Green Green Green Green Green Green Green\nBlack Black Green Black Green Green Black Black Green Green Green Black Green Green Green Green Green Black Green Black\nGreen Green Black Green Green Green Black Green Black Black Black Green Green Green Green Green Black Black Green Green\nBlack Black Green Green Green Green Green Green Green Black Green Green Black Black Green Green Green Green Black Green\nGreen Green Black Green Green Green Green Green Black Green Green Green Green Black Green Black Green Green Green Green\nGreen Green Black Green Green Green Green Black Black Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Green Green Green Black Green Green Black Green Black Green Green Green Green Green Green\nGreen Green Green Green Black Black Green Green Black Green Green Black Green Green Green Green Green Black Black Green\nBlack Green Black Green Green Black Green Green Green Black Black Green Green Black Green Black Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green Black Green Green Green Green Black Green Green Green Green\n\nOutput:\nBlack Black Black Black Green Green Black Green Green Black Green Black Green Black Black Black Black Gray Gray Gray\nBlack Green Green Green Black Green Green Green Black Gray Gray Gray Black Green Green Green Green Gray Gray Gray\nBlack Black Black Gray Gray Black Green Black Black Gray Gray Gray Gray Black Green Black Black Gray Gray Gray\nGreen Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray\nGreen Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Green Black Green\nBlack Green Black Gray Gray Gray Green Gray Gray Black Gray Gray Black Gray Gray Gray Green Green Black Green\nGray Gray Green Gray Gray Black Green Black Black Green Gray Gray Green Gray Gray Gray Black Green Black Green\nGray Gray Black Black Gray Gray Gray Gray Green Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray\nGray Gray Gray Green Gray Gray Gray Gray Black Gray Gray Black Green Black Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Black Green Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black Black Green Black\nGreen Gray Gray Green Green Black Black Green Gray Gray Black Gray Gray Gray Gray Gray Gray Green Green Green\nBlack Black Green Black Gray Gray Black Black Gray Gray Green Black Gray Gray Gray Gray Gray Black Green Black\nGreen Green Black Gray Gray Gray Black Green Black Black Black Green Gray Gray Gray Gray Black Black Green Green\nBlack Black Green Gray Gray Gray Gray Gray Green Black Gray Gray Black Black Gray Gray Gray Gray Black Green\nGray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black Green Black Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Gray Gray Gray Black Gray Gray Black Green Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Green Black Black Gray Gray Black Gray Gray Black Green Green Gray Gray Gray Black Black Green\nBlack Green Black Gray Gray Black Gray Gray Gray Black Black Gray Gray Black Green Black Gray Gray Gray Gray\nBlack Green Green Gray Gray Green Gray Gray Gray Green Black Gray Gray Green Green Black Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Pink Black Black Black Pink Black\nPink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Pink Black Pink Pink Pink\nPink Pink Pink Pink Pink Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Black\nPink Pink Pink Pink Pink Purple Purple Black Black Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black\nPink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Pink Black Pink\nPink Black Pink Black Pink Pink Pink Black Pink Pink Black Black Pink Pink Pink Pink Black Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Black Black Pink Black Pink Pink Pink Pink Black Pink Pink Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black Pink\nPink Black Black Pink Black Black Pink Black Black Pink Pink Pink Pink Black Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Black\nPink Pink Black Pink Black Pink Pink Black Pink Pink Black Pink Pink Black Pink Pink Yellow Yellow Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black Pink Yellow Yellow Pink Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink\nBlack Black Black Black Pink Pink Black Black Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black\nPink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Black Pink\nBlack Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink\nBlack Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Gray Gray Pink Black Pink Pink Black Gray Gray Pink Pink Black Pink Black Gray Gray Pink Black\nPink Black Gray Gray Black Pink Black Pink Pink Gray Gray Black Gray Gray Pink Pink Gray Gray Gray Gray\nGray Gray Gray Gray Gray Pink Pink Black Black Black Gray Gray Gray Gray Black Pink Black Pink Gray Gray\nGray Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Black Pink Black\nGray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Pink Black Pink Pink Pink Black\nGray Gray Black Gray Gray Gray Black Pink Gray Gray Gray Black Gray Gray Gray Black Black Pink Black Pink\nPink Black Pink Black Gray Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Black Gray Gray Gray\nPink Gray Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Black Black Pink Black Gray Gray Gray Gray Black Pink Gray Gray Black Pink\nGray Gray Gray Gray Gray Gray Pink Black Pink Black Gray Gray Gray Gray Gray Black Gray Gray Pink Pink\nGray Gray Gray Gray Gray Gray Black Black Pink Gray Gray Gray Gray Gray Gray Black Pink Black Black Pink\nPink Black Black Pink Black Black Pink Black Black Gray Gray Gray Gray Black Pink Black Pink Black Pink Pink\nGray Gray Pink Pink Black Gray Gray Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Black\nGray Gray Black Pink Black Gray Gray Black Pink Pink Black Pink Pink Black Pink Pink Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Gray Gray Black Pink Pink Black Gray Gray Black Pink Gray Gray Gray Gray\nPink Black Pink Gray Gray Gray Gray Gray Pink Black Pink Black Gray Gray Gray Pink Gray Gray Black Pink\nBlack Black Black Black Gray Gray Black Black Black Gray Gray Gray Black Gray Gray Black Gray Gray Pink Black\nPink Pink Black Gray Gray Gray Black Pink Pink Gray Gray Gray Gray Black Black Black Gray Gray Black Pink\nBlack Pink Black Gray Gray Gray Pink Pink Black Gray Gray Gray Gray Black Gray Gray Gray Gray Black Pink\nBlack Pink Pink Black Gray Gray Black Pink Pink Gray Gray Black Black Pink Gray Gray Gray Gray Pink Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlue Black 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 Yellow\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\nBlue Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlue 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlue Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\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 Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\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 Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\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 Blue\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Red Black\nBlack Black Black Black Black Black Gray Black\nBlack Black Black Black Purple Purple Gray Black\nBlack Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Red Gray Gray Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Orange Red Red Black\nBlack Black Orange Orange Black Black Black\nBlack Black Orange Orange Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Red Black Red\nBlack Black Black Black Red Black Red\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black\nBlack Orange Orange Black Black Black Black\nBlack Blue Blue Black Black Black Black\nBlack Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Orange Blue Blue\nBlack Black Black Gray Orange Blue Blue\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 Yellow Black Black Black\nBlack Black Black Black Black Green Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Yellow 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 Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Red Red Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Red Red Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Red Red Black Black Blue Blue Red Red Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nBlue Blue Blue Blue Red Red Black Black Blue Blue Red Red Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nBlack Black Red Red Blue Blue Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Black Black Red Red\nBlack Black Red Red Blue Blue Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Black Black Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nRed Red Blue Blue Blue Blue Blue Blue Red Red Black Black Red Red Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nRed Red Blue Blue Blue Blue Blue Blue Red Red Black Black Red Red Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nBlue Blue Blue Blue Red Red Black Black Blue Blue Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Red Red Red Red\nBlue Blue Blue Blue Red Red Black Black Blue Blue Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Red Red Red Red\nRed Red Black Black Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Black Black\nRed Red Black Black Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Red Red Blue Blue Blue Blue Red Red Blue Blue Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Red Red Blue Blue Blue Blue Red Red Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Red Red Black Black Black Black Red Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Black Black Black Black Red Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Blue Blue Black Black Blue Blue Blue Blue Black Black Red Red Blue Blue Black Black Blue Blue Red Red\nBlue Blue Blue Blue Red Red Blue Blue Black Black Blue Blue Blue Blue Black Black Red Red Blue Blue Black Black Blue Blue Red Red\nBlue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue\n\nOutput:\nRed Red\nRed Red\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Black Black Red Red Black Black Black Black Red Red Blue Blue Red Red Black Black Red Red\nRed Red Red Red Red Red Black Black Red Red Black Black Black Black Red Red Blue Blue Red Red Black Black Red Red\nRed Red Black Black Red Red Red Red Blue Blue Black Black Black Black Red Red Red Red Red Red Blue Blue Red Red\nRed Red Black Black Red Red Red Red Blue Blue Black Black Black Black Red Red Red Red Red Red Blue Blue Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red Blue Blue Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red Blue Blue Red Red Black Black Black Black Black Black\nBlue Blue Red Red Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Black Black Black Black\nBlue Blue Red Red Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Red Red Red Red Red Red Red Red Blue Blue Red Red Black Black Red Red\nBlue Blue Black Black Blue Blue Black Black Red Red Red Red Red Red Red Red Blue Blue Red Red Black Black Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Black Black Black Black Blue Blue Red Red Red Red Black Black\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Black Black Black Black Blue Blue Red Red Red Red Black Black\nRed Red Black Black Blue Blue Black Black Blue Blue Red Red Red Red Red Red Black Black Red Red Red Red Red Red\nRed Red Black Black Blue Blue Black Black Blue Blue Red Red Red Red Red Red Black Black Red Red Red Red Red Red\nBlue Blue Red Red Blue Blue Red Red Red Red Red Red Red Red Blue Blue Black Black Red Red Black Black Black Black\nBlue Blue Red Red Blue Blue Red Red Red Red Red Red Red Red Blue Blue Black Black Red Red Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Red Black Black Blue Blue Black Black Red Red Red Red Black Black Red Red\nBlue Blue Blue Blue Blue Blue Red Red Red Red Black Black Blue Blue Black Black Red Red Red Red Black Black Red Red\nRed Red Blue Blue Red Red Black Black Red Red Black Black Red Red Black Black Red Red Blue Blue Red Red Black Black\nRed Red Blue Blue Red Red Black Black Red Red Black Black Red Red Black Black Red Red Blue Blue Red Red Black Black\nRed Red Blue Blue Blue Blue Red Red Blue Blue Red Red Red Red Red Red Black Black Red Red Red Red Red Red\nRed Red Blue Blue Blue Blue Red Red Blue Blue Red Red Red Red Red Red Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Black Black Red Red Red Red Blue Blue Red Red Black Black Red Red Blue Blue\nRed Red Red Red Red Red Red Red Black Black Red Red Red Red Blue Blue Red Red Black Black Red Red Blue Blue\nRed Red Black Black Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red Black Black\nRed Red Black Black Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Black Black Red Red Red Red Red Red\n\nOutput:\nRed Red\nRed Red\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Red Red Black Black Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Red Red Black Black Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nRed Red\nRed Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Red Red Red Red Red Blue Blue Black Black Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Red Red Red Red Red Red Blue Blue Black Black Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Red Red Red Red Red Red\nBlue Blue Red Red Black Black Black Black Blue Blue Blue Blue Red Red Black Black Black Black Black Black Red Red\nBlue Blue Red Red Black Black Black Black Blue Blue Blue Blue Red Red Black Black Black Black Black Black Red Red\nRed Red Blue Blue Red Red Red Red Black Black Red Red Black Black Black Black Blue Blue Red Red Black Black\nRed Red Blue Blue Red Red Red Red Black Black Red Red Black Black Black Black Blue Blue Red Red Black Black\nRed Red Black Black Black Black Blue Blue Red Red Red Red Blue Blue Red Red Red Red Blue Blue Black Black\nRed Red Black Black Black Black Blue Blue Red Red Red Red Blue Blue Red Red Red Red Blue Blue Black Black\nBlack Black Red Red Red Red Black Black Red Red Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Red Red Red Red Black Black Red Red Black Black Black Black Black Black Black Black Blue Blue Red Red\nRed Red Red Red Black Black Blue Blue Red Red Black Black Red Red Red Red Black Black Red Red Black Black\nRed Red Red Red Black Black Blue Blue Red Red Black Black Red Red Red Red Black Black Red Red Black Black\nRed Red Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Red Red Red Red Red Red Red Red Blue Blue\nBlack Black Black Black Blue Blue Red Red Black Black Black Black Red Red Red Red Red Red Red Red Blue Blue\nBlue Blue Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Red Red Red Red\nBlue Blue Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black 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```\nRed Red\nRed Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Brown Brown Purple Blue Purple Purple Purple\nBlack Black Black Black Black Blue Brown Blue Brown Brown Blue Blue\nBlack Black Black Black Black Brown Purple Purple Purple Purple Blue Brown\nBrown Purple Blue Purple Brown Purple Blue Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Blue Brown Purple Purple Purple Purple\nPurple Blue Blue Brown Purple Brown Blue Brown Blue Blue Purple Blue\nBlue Blue Brown Purple Brown Purple Blue Brown Purple Purple Brown Purple\nBrown Purple Purple Blue Purple Purple Brown Blue Blue Brown Purple Purple\n\nOutput:\nBlack Black Black Black Black Brown Brown Purple Blue Purple Purple Purple\nBlack Black Black Black Black Blue Brown Blue Brown Brown Blue Blue\nBlack Black Black Black Black Brown Purple Purple Purple Purple Blue Brown\nBrown Purple Blue Purple Brown Purple Purple Brown Brown Brown Brown Brown\nBrown Purple Blue Purple Brown Purple Purple Purple Brown Brown Brown Brown\nPurple Blue Blue Brown Purple Brown Purple Purple Purple Purple Blue Brown\nBlue Blue Brown Purple Brown Blue Brown Blue Brown Brown Blue Blue\nBrown Purple Purple Blue Purple Brown Purple Purple Blue Purple Purple Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Red Pink Red Pink Pink Gray\nBlack Black Black Black Pink Gray Red Pink Pink Gray\nBlack Black Black Black Pink Gray Pink Pink Red Gray\nRed Pink Red Gray Gray Pink Red Red Red Red\nPink Red Red Red Pink Gray Red Gray Red Pink\nGray Gray Gray Red Red Gray Gray Gray Gray Gray\nPink Pink Gray Pink Red Gray Pink Gray Gray Pink\n\nOutput:\nBlack Black Black Black Red Pink Red Pink Pink Gray\nBlack Black Black Black Pink Pink Red Pink Pink Gray\nBlack Black Black Black Pink Pink Pink Pink Red Gray\nRed Pink Red Gray Gray Gray Gray Red Pink Red\nPink Red Red Red Pink Pink Pink Pink Red Gray\nGray Gray Gray Red Pink Red Red Pink Pink Gray\nPink Pink Gray Pink Red Pink Red Pink Pink Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Purple Brown Pink Brown Pink Purple\nBlack Black Black Black Black Brown Purple Purple Purple Pink Brown\nBlack Black Black Black Black Purple Pink Brown Purple Purple Brown\nPink Brown Purple Purple Purple Brown Purple Pink Brown Brown Purple\nPink Brown Pink Brown Brown Brown Brown Brown Purple Pink Pink\nPurple Brown Purple Purple Pink Purple Pink Pink Pink Brown Purple\nBrown Brown Brown Purple Pink Brown Pink Purple Pink Purple Brown\n\nOutput:\nBlack Black Black Black Black Purple Brown Pink Brown Pink Purple\nBlack Black Black Black Black Brown Purple Purple Purple Pink Brown\nBlack Black Black Black Black Purple Pink Brown Purple Purple Brown\nPink Brown Purple Purple Purple Brown Purple Purple Purple Brown Pink\nPink Brown Pink Brown Brown Purple Pink Brown Pink Purple Brown\nPurple Brown Purple Purple Pink Brown Purple Purple Purple Pink Brown\nBrown Brown Brown Purple Pink Purple Brown Pink Brown Pink Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Yellow Brown Brown Yellow\nBlack Black Black Black Blue Yellow Brown Brown Brown\nBlack Black Black Black Blue Yellow Blue Blue Yellow\nBlue Yellow Blue Yellow Brown Brown Blue Yellow Blue\nBlue Blue Yellow Blue Brown Yellow Brown Brown Brown\nBrown Yellow Brown Yellow Yellow Brown Brown Blue Blue\nYellow Blue Yellow Brown Brown Brown Blue Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Yellow Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Yellow Brown Brown Yellow\nBlack Black Black Black Blue Yellow Brown Brown Brown\nBlack Black Black Black Blue Yellow Blue Blue Yellow\nBlue Yellow Blue Yellow Brown Yellow Blue Yellow Blue\nBlue Blue Yellow Blue Blue Blue Blue Blue Yellow\nBrown Yellow Brown Yellow Blue Yellow Brown Brown Brown\nYellow Blue Yellow Brown Brown Yellow Brown Blue Yellow\nYellow Brown Yellow Brown Yellow Yellow Yellow Brown Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Green Black Green\nGreen Black Green Black Green Green\nBlack Black Green Green Green Green\nBlack Green Black Black Black Black\nBlack Black Black Black Black Black\nGreen Black Black Green Green Green\nGreen Black Green Black Green Green\nBlack Black Black Black Black Green\n\nOutput:\nBlack Green Black Green Green Green\nBlack Black Green Black Green Black\nBlack Black Black Black Green Green\nGreen Green Green Green Black Green\nGreen Green Green Green Green Green\nBlack Black Black Green Green Black\nBlack Black Green Black Green Black\nBlack Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Green Black Green Black Black\nGreen Black Black Black Green Black Black Black\nBlack Black Black Green Green Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Black Green Black Green Black Green\nGreen Green Green Black Green Green Green Black\nGreen Green Green Black Black Green Green Green\n\n\nExample 3\nInput:\nGreen Black Green Green Black Green Black Green Green\nBlack Green Black Black Green Black Green Black Black\nGreen Black Green Black Black Black Black Black Black\nGreen Black Green Green Black Black Black Black Black\nGreen Black Green Green Black Green Green Black Black\n\nOutput:\nBlack Black Green Black Green Black Black Green Black\nGreen Green Black Green Black Green Green Black Green\nGreen Green Green Green Green Green Black Green Black\nGreen Green Green Green Green Black Black Green Black\nGreen Green Black Black Green Black Black Green Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nGreen Black Black Black Black Black Black\nBlack Green Green Green Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Black\nGreen Green Green Black Black Black Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Black\nGreen Green Green Green Green Green Green\nGreen Black Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink 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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black 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 Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow 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 Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black 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 Gray 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 Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\nBrown 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\nBrown 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\nBrown 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\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown 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\nBrown 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\nBrown 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\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 Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Red Red Blue Blue Gray Gray Blue Blue Red Red Black Black\nBlack Black Black Black Black Black Red Red Blue Blue Gray Gray Blue Blue Red Red Black Black\nBlack Black Black Black Black Black Yellow Yellow Gray Gray Blue Blue Gray Gray Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Gray Gray Blue Blue Gray Gray Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple\nPurple Purple Purple Purple Purple Purple Red Red Blue Blue Gray Gray Blue Blue Red Red Purple Purple\nPurple Purple Purple Purple Purple Purple Red Red Blue Blue Gray Gray Blue Blue Red Red Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Gray Gray Blue Blue Gray Gray Yellow Yellow Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Gray Gray Blue Blue Gray Gray Yellow Yellow Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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 Orange Orange Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Purple Purple Orange Orange Black Black Brown Brown Pink Pink Black Black\nBlack Black Black Black Black Black Purple Purple Orange Orange Black Black Brown Brown Pink Pink Black Black\nBlack Black Black Black Black Black Purple Purple Yellow Yellow Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Purple Purple Yellow Yellow Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Green Green Red Red Red Red Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Green Green Red Red Red Red Black Black\nBlack 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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Orange Orange Pink Pink Pink Pink Pink Pink Red Red\nRed Red Red Red Red Red Red Red Orange Orange Pink Pink Pink Pink Pink Pink Red Red\nRed Red Red Red Red Red Purple Purple Orange Orange Red Red Brown Brown Pink Pink Red Red\nRed Red Red Red Red Red Purple Purple Orange Orange Red Red Brown Brown Pink Pink Red Red\nRed Red Red Red Red Red Purple Purple Yellow Yellow Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Purple Purple Yellow Yellow Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Purple Purple Purple Purple Green Green Red Red Red Red Red Red\nRed Red Red Red Red Red Purple Purple Purple Purple Green Green Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\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 Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Yellow Yellow Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Gray Gray Gray Gray Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Gray Gray Gray Gray Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue 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 Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Blue Blue Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nRed Red Red Red Black Black Black Black Blue Blue Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nRed Red Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nRed Red Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nRed Red Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nRed Red Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue 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 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 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 Blue Blue 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 Blue Blue 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 Blue Blue Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black 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 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 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 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 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 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 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 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 Blue Blue 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 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 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 Blue Blue 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 Blue Blue 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 Blue Blue Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Red Red Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Red Red Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Red Red Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Red Red Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 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 Blue Blue 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 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 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 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 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 Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Blue Blue Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Blue Blue Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Blue Blue Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Blue Blue Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nRed Red Red Red Red Red Black Black Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black\nRed Red Red Red Red Red Black Black Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Blue Blue Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Blue Blue Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Blue Blue Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Blue Blue Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black 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 Blue Green\nGray Gray Gray\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\nOutput:\nGray Blue Green\nGray Gray Gray\nGray Gray Gray\nBlue Blue Blue\nGreen Green Green\n\n\nExample 2\nInput:\nGray Red Purple Brown\nGray Gray Gray Gray\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nGray Red Purple Brown\nGray Gray Gray Gray\nGray Gray Gray Gray\nRed Red Red Red\nPurple Purple Purple Purple\nBrown Brown Brown Brown\n\n\nExample 3\nInput:\nBrown Red Green Purple\nGray Gray Gray Gray\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBrown Red Green Purple\nGray Gray Gray Gray\nBrown Brown Brown Brown\nRed Red Red Red\nGreen Green Green Green\nPurple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nYellow Orange\nGray Gray\nBlack Black\nBlack 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 Orange\nGray Gray\nYellow Yellow\nOrange Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Red Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Red Black Black\nBlack Yellow Yellow Yellow Yellow Black Red Black\nBlack Yellow Yellow Yellow Yellow Black Black Red\nBlack Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Red Black Black\nBlack Black Black Yellow Yellow Black Red Black\nBlack Black Black Yellow Yellow Black Black Red\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Red Black Black Black\nBlack Black Black Black Yellow Yellow Black Red Black Black\nBlack Black Black Black Yellow Yellow Black Black Red Black\nBlack Black Black Black Yellow Yellow Black Black Black Red\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
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