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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Yellow Yellow Purple Purple Orange Orange Pink Pink Purple Purple Yellow Yellow Gray Gray\nBlue Blue Yellow Yellow Purple Purple Orange Orange Pink Pink Purple Purple Yellow Yellow Gray Gray\nYellow Yellow Orange Orange Gray Gray Pink Pink Orange Orange Green Green Brown Brown Brown Brown\nYellow Yellow Orange Orange Gray Gray Pink Pink Orange Orange Green Green Brown Brown Brown Brown\nPurple Purple Purple Purple Brown Brown Purple Purple Blue Blue Green Green Orange Orange Purple Purple\nPurple Purple Purple Purple Brown Brown Purple Purple Blue Blue Green Green Orange Orange Purple Purple\nPurple Purple Yellow Yellow Yellow Yellow Blue Blue Green Green Brown Brown Blue Blue Brown Brown\nPurple Purple Yellow Yellow Yellow Yellow Blue Blue Green Green Brown Brown Blue Blue Brown Brown\nOrange Orange Pink Pink Pink Pink Purple Purple Orange Orange Pink Pink Purple Purple Yellow Yellow\nOrange Orange Pink Pink Pink Pink Purple Purple Orange Orange Pink Pink Purple Purple Yellow Yellow\nPurple Purple Brown Brown Yellow Yellow Orange Orange Purple Purple Gray Gray Yellow Yellow Purple Purple\nPurple Purple Brown Brown Yellow Yellow Orange Orange Purple Purple Gray Gray Yellow Yellow Purple Purple\nYellow Yellow Green Green Blue Blue Brown Brown Green Green Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Green Green Blue Blue Brown Brown Green Green Purple Purple Purple Purple Yellow Yellow\nGreen Green Orange Orange Purple Purple Pink Pink Orange Orange Brown Brown Purple Purple Yellow Yellow\nGreen Green Orange Orange Purple Purple Pink Pink Orange Orange Brown Brown Purple Purple Yellow Yellow\n\nOutput:\nYellow Yellow Blue Blue Orange Orange Purple Purple Pink Pink Orange Orange Blue Blue Gray Gray\nYellow Yellow Blue Blue Orange Orange Purple Purple Pink Pink Orange Orange Blue Blue Gray Gray\nBlue Blue Purple Purple Gray Gray Pink Pink Purple Purple Orange Orange Brown Brown Brown Brown\nBlue Blue Purple Purple Gray Gray Pink Pink Purple Purple Orange Orange Brown Brown Brown Brown\nOrange Orange Orange Orange Brown Brown Orange Orange Yellow Yellow Orange Orange Purple Purple Orange Orange\nOrange Orange Orange Orange Brown Brown Orange Orange Yellow Yellow Orange Orange Purple Purple Orange Orange\nOrange Orange Blue Blue Blue Blue Yellow Yellow Orange Orange Brown Brown Yellow Yellow Brown Brown\nOrange Orange Blue Blue Blue Blue Yellow Yellow Orange Orange Brown Brown Yellow Yellow Brown Brown\nPurple Purple Pink Pink Pink Pink Orange Orange Purple Purple Pink Pink Orange Orange Blue Blue\nPurple Purple Pink Pink Pink Pink Orange Orange Purple Purple Pink Pink Orange Orange Blue Blue\nOrange Orange Brown Brown Blue Blue Purple Purple Orange Orange Gray Gray Blue Blue Orange Orange\nOrange Orange Brown Brown Blue Blue Purple Purple Orange Orange Gray Gray Blue Blue Orange Orange\nBlue Blue Orange Orange Yellow Yellow Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue\nBlue Blue Orange Orange Yellow Yellow Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue\nOrange Orange Purple Purple Orange Orange Pink Pink Purple Purple Brown Brown Orange Orange Blue Blue\nOrange Orange Purple Purple Orange Orange Pink Pink Purple Purple Brown Brown Orange Orange Blue Blue\n\n\nExample 2\nInput:\nOrange Orange Blue Blue Blue Blue Gray Gray Purple Purple Yellow Yellow Purple Purple\nOrange Orange Blue Blue Blue Blue Gray Gray Purple Purple Yellow Yellow Purple Purple\nYellow Yellow Green Green Pink Pink Blue Blue Orange Orange Yellow Yellow Gray Gray\nYellow Yellow Green Green Pink Pink Blue Blue Orange Orange Yellow Yellow Gray Gray\nGreen Green Purple Purple Brown Brown Pink Pink Blue Blue Yellow Yellow Yellow Yellow\nGreen Green Purple Purple Brown Brown Pink Pink Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Pink Pink Blue Blue Purple Purple Brown Brown Orange Orange Yellow Yellow\nYellow Yellow Pink Pink Blue Blue Purple Purple Brown Brown Orange Orange Yellow Yellow\nGray Gray Green Green Brown Brown Yellow Yellow Brown Brown Blue Blue Purple Purple\nGray Gray Green Green Brown Brown Yellow Yellow Brown Brown Blue Blue Purple Purple\nBlue Blue Pink Pink Green Green Blue Blue Gray Gray Purple Purple Gray Gray\nBlue Blue Pink Pink Green Green Blue Blue Gray Gray Purple Purple Gray Gray\nGray Gray Blue Blue Orange Orange Pink Pink Brown Brown Blue Blue Green Green\nGray Gray Blue Blue Orange Orange Pink Pink Brown Brown Blue Blue Green Green\n\nOutput:\nPurple Purple Yellow Yellow Yellow Yellow Gray Gray Orange Orange Blue Blue Orange Orange\nPurple Purple Yellow Yellow Yellow Yellow Gray Gray Orange Orange Blue Blue Orange Orange\nBlue Blue Orange Orange Pink Pink Yellow Yellow Purple Purple Blue Blue Gray Gray\nBlue Blue Orange Orange Pink Pink Yellow Yellow Purple Purple Blue Blue Gray Gray\nOrange Orange Orange Orange Brown Brown Pink Pink Yellow Yellow Blue Blue Blue Blue\nOrange Orange Orange Orange Brown Brown Pink Pink Yellow Yellow Blue Blue Blue Blue\nBlue Blue Pink Pink Yellow Yellow Orange Orange Brown Brown Purple Purple Blue Blue\nBlue Blue Pink Pink Yellow Yellow Orange Orange Brown Brown Purple Purple Blue Blue\nGray Gray Orange Orange Brown Brown Blue Blue Brown Brown Yellow Yellow Orange Orange\nGray Gray Orange Orange Brown Brown Blue Blue Brown Brown Yellow Yellow Orange Orange\nYellow Yellow Pink Pink Orange Orange Yellow Yellow Gray Gray Orange Orange Gray Gray\nYellow Yellow Pink Pink Orange Orange Yellow Yellow Gray Gray Orange Orange Gray Gray\nGray Gray Yellow Yellow Purple Purple Pink Pink Brown Brown Yellow Yellow Orange Orange\nGray Gray Yellow Yellow Purple Purple Pink Pink Brown Brown Yellow Yellow Orange Orange\n\n\nExample 3\nInput:\nGreen Green Pink Pink Yellow Yellow Blue Blue Orange Orange Orange Orange Gray Gray\nGreen Green Pink Pink Yellow Yellow Blue Blue Orange Orange Orange Orange Gray Gray\nOrange Orange Purple Purple Purple Purple Orange Orange Brown Brown Brown Brown Pink Pink\nOrange Orange Purple Purple Purple Purple Orange Orange Brown Brown Brown Brown Pink Pink\nGreen Green Brown Brown Gray Gray Brown Brown Orange Orange Pink Pink Blue Blue\nGreen Green Brown Brown Gray Gray Brown Brown Orange Orange Pink Pink Blue Blue\nOrange Orange Orange Orange Brown Brown Blue Blue Gray Gray Purple Purple Green Green\nOrange Orange Orange Orange Brown Brown Blue Blue Gray Gray Purple Purple Green Green\nYellow Yellow Brown Brown Orange Orange Blue Blue Green Green Orange Orange Pink Pink\nYellow Yellow Brown Brown Orange Orange Blue Blue Green Green Orange Orange Pink Pink\nBrown Brown Purple Purple Blue Blue Brown Brown Pink Pink Purple Purple Brown Brown\nBrown Brown Purple Purple Blue Blue Brown Brown Pink Pink Purple Purple Brown Brown\nGray Gray Blue Blue Green Green Yellow Yellow Gray Gray Green Green Purple Purple\nGray Gray Blue Blue Green Green Yellow Yellow Gray Gray Green Green Purple Purple\nGray Gray Yellow Yellow Green Green Pink Pink Purple Purple Green Green Orange Orange\nGray Gray Yellow Yellow Green Green Pink Pink Purple Purple Green Green Orange Orange\nBlue Blue Pink Pink Orange Orange Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nBlue Blue Pink Pink Orange Orange Yellow Yellow Yellow Yellow Gray Gray Gray Gray\n\nOutput:\nOrange Orange Pink Pink Blue Blue Yellow Yellow Purple Purple Purple Purple Gray Gray\nOrange Orange Pink Pink Blue Blue Yellow Yellow Purple Purple Purple Purple Gray Gray\nPurple Purple Orange Orange Orange Orange Purple Purple Brown Brown Brown Brown Pink Pink\nPurple Purple Orange Orange Orange Orange Purple Purple Brown Brown Brown Brown Pink Pink\nOrange Orange Brown Brown Gray Gray Brown Brown Purple Purple Pink Pink Yellow Yellow\nOrange Orange Brown Brown Gray Gray Brown Brown Purple Purple Pink Pink Yellow Yellow\nPurple Purple Purple Purple Brown Brown Yellow Yellow Gray Gray Orange Orange Orange Orange\nPurple Purple Purple Purple Brown Brown Yellow Yellow Gray Gray Orange Orange Orange Orange\nBlue Blue Brown Brown Purple Purple Yellow Yellow Orange Orange Purple Purple Pink Pink\nBlue Blue Brown Brown Purple Purple Yellow Yellow Orange Orange Purple Purple Pink Pink\nBrown Brown Orange Orange Yellow Yellow Brown Brown Pink Pink Orange Orange Brown Brown\nBrown Brown Orange Orange Yellow Yellow Brown Brown Pink Pink Orange Orange Brown Brown\nGray Gray Yellow Yellow Orange Orange Blue Blue Gray Gray Orange Orange Orange Orange\nGray Gray Yellow Yellow Orange Orange Blue Blue Gray Gray Orange Orange Orange Orange\nGray Gray Blue Blue Orange Orange Pink Pink Orange Orange Orange Orange Purple Purple\nGray Gray Blue Blue Orange Orange Pink Pink Orange Orange Orange Orange Purple Purple\nYellow Yellow Pink Pink Purple Purple Blue Blue Blue Blue Gray Gray Gray Gray\nYellow Yellow Pink Pink Purple Purple Blue Blue Blue Blue Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Orange Orange Orange Orange Blue Blue Green Green Brown Brown Purple Purple Yellow Yellow Green Green\nBlue Blue Orange Orange Orange Orange Blue Blue Green Green Brown Brown Purple Purple Yellow Yellow Green Green\nBrown Brown Brown Brown Purple Purple Brown Brown Blue Blue Brown Brown Pink Pink Brown Brown Gray Gray\nBrown Brown Brown Brown Purple Purple Brown Brown Blue Blue Brown Brown Pink Pink Brown Brown Gray Gray\nOrange Orange Pink Pink Orange Orange Gray Gray Pink Pink Green Green Yellow Yellow Blue Blue Green Green\nOrange Orange Pink Pink Orange Orange Gray Gray Pink Pink Green Green Yellow Yellow Blue Blue Green Green\nYellow Yellow Orange Orange Brown Brown Yellow Yellow Brown Brown Blue Blue Purple Purple Yellow Yellow Yellow Yellow\nYellow Yellow Orange Orange Brown Brown Yellow Yellow Brown Brown Blue Blue Purple Purple Yellow Yellow Yellow Yellow\nPink Pink Blue Blue Blue Blue Blue Blue Gray Gray Green Green Brown Brown Pink Pink Blue Blue\nPink Pink Blue Blue Blue Blue Blue Blue Gray Gray Green Green Brown Brown Pink Pink Blue Blue\nGreen Green Blue Blue Gray Gray Brown Brown Green Green Green Green Gray Gray Yellow Yellow Gray Gray\nGreen Green Blue Blue Gray Gray Brown Brown Green Green Green Green Gray Gray Yellow Yellow Gray Gray\nPink Pink Yellow Yellow Blue Blue Brown Brown Orange Orange Orange Orange Purple Purple Pink Pink Brown Brown\nPink Pink Yellow Yellow Blue Blue Brown Brown Orange Orange Orange Orange Purple Purple Pink Pink Brown Brown\nOrange Orange Gray Gray Orange Orange Orange Orange Purple Purple Orange Orange Blue Blue Orange Orange Brown Brown\nOrange Orange Gray Gray Orange Orange Orange Orange Purple Purple Orange Orange Blue Blue Orange Orange Brown Brown\nOrange Orange Pink Pink Pink Pink Orange Orange Purple Purple Pink Pink Purple Purple Green Green Purple Purple\nOrange Orange Pink Pink Pink Pink Orange Orange Purple Purple Pink Pink Purple Purple Green Green 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"
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"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Orange Orange Brown Brown Orange Orange Blue Blue Orange Orange\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Orange Orange Brown Brown Orange Orange Blue Blue Orange Orange\nBrown Brown Brown Brown Orange Orange Brown Brown Yellow Yellow Brown Brown Pink Pink Brown Brown Gray Gray\nBrown Brown Brown Brown Orange Orange Brown Brown Yellow Yellow Brown Brown Pink Pink Brown Brown Gray Gray\nPurple Purple Pink Pink Purple Purple Gray Gray Pink Pink Orange Orange Blue Blue Yellow Yellow Orange Orange\nPurple Purple Pink Pink Purple Purple Gray Gray Pink Pink Orange Orange Blue Blue Yellow Yellow Orange Orange\nBlue Blue Purple Purple Brown Brown Blue Blue Brown Brown Yellow Yellow Orange Orange Blue Blue Blue Blue\nBlue Blue Purple Purple Brown Brown Blue Blue Brown Brown Yellow Yellow Orange Orange Blue Blue Blue Blue\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Orange Orange Brown Brown Pink Pink Yellow Yellow\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Orange Orange Brown Brown Pink Pink Yellow Yellow\nOrange Orange Yellow Yellow Gray Gray Brown Brown Orange Orange Orange Orange Gray Gray Blue Blue Gray Gray\nOrange Orange Yellow Yellow Gray Gray Brown Brown Orange Orange Orange Orange Gray Gray Blue Blue Gray Gray\nPink Pink Blue Blue Yellow Yellow Brown Brown Purple Purple Purple Purple Orange Orange Pink Pink Brown Brown\nPink Pink Blue Blue Yellow Yellow Brown Brown Purple Purple Purple Purple Orange Orange Pink Pink Brown Brown\nPurple Purple Gray Gray Purple Purple Purple Purple Orange Orange Purple Purple Yellow Yellow Purple Purple Brown Brown\nPurple Purple Gray Gray Purple Purple Purple Purple Orange Orange Purple Purple Yellow Yellow Purple Purple Brown Brown\nPurple Purple Pink Pink Pink Pink Purple Purple Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange\nPurple Purple Pink Pink Pink Pink Purple Purple Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange\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 Black Brown Purple Black Black Yellow Black Black Black Black\nBlack Black Green Black Black Orange Black Black Black Black Black Gray\nBrown Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Green Brown Red Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Orange Green Black Black Pink Black Black\n\nOutput:\nPurple Black Black Brown Purple Black Black Pink Black Black Black Black\nBlack Black Yellow Black Black Purple Black Black Black Black Black Gray\nBrown Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Brown Red Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Purple Yellow Black Black Green Black Black\n\n\nExample 2\nInput:\nBlack Gray Black Black Black Black Black Black Black Green\nPink Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Green Black Black Yellow Black Black Red Black Black\nBlack Pink Black Yellow Black Black Black Black Black Black\nBlack Black Pink Black Green Yellow Black Black Black Black\n\nOutput:\nBlack Gray Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Pink Black Black Red Black Black\nBlack Green Black Pink Black Black Black Black Black Black\nBlack Black Green Black Yellow Pink Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Green Black Yellow Black Black Black Black Black Black\nOrange Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Orange Black Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Orange Black Black\nBlack Brown Black Black Black Black Black Purple Black Black Black\nBlack Black Black Orange Yellow Black Black Black Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Pink Yellow Black Pink Black Black Black Black Black Black\nPurple Black Black Black Black Pink Black Black Pink Black Black\nBlack Black Black Black Purple Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Purple Black Black\nBlack Brown Black Black Black Black Black Purple Black Black Black\nBlack Black Black Purple Pink Black Black Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Pink Black Yellow Orange Black Green Yellow\nBlack Black Green Black Black Black Brown Black Black\nBlack Purple Black Orange Black Black Black Brown Black\nYellow Orange Black Pink Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Black Purple Black Black Black Red Black Black\n\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 Green Black Pink Purple Black Yellow Pink\nBlack Black Yellow Black Black Black Brown Black Black\nBlack Purple Black Purple Black Black Black Brown Black\nPink Purple Black Green Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Purple Black Black Black Red Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Green Yellow Blue Yellow Red Yellow Yellow Green Green\nBlue Green Blue Blue Red Red Green Red Yellow Red Yellow Green\nRed Yellow Green Yellow Red Red Green Green Blue Red Yellow Blue\nBlue Green Red Yellow Yellow Green Yellow Yellow Green Blue Yellow Blue\nGreen Yellow Blue Red Yellow Red Red Green Green Blue Yellow Blue\nGreen Green Blue Green Yellow Blue Red Yellow Green Green Blue Yellow\nBlue Yellow Yellow Green Green Red Red Red Yellow Green Blue Blue\nRed Yellow Blue Blue Red Green Blue Blue Yellow Yellow Red Green\n\nOutput:\nRed Red Red Yellow Red Green Red Blue Red Red Yellow Yellow\nGreen Yellow Green Green Blue Blue Yellow Blue Red Blue Red Yellow\nBlue Red Yellow Red Blue Blue Yellow Yellow Green Blue Red Green\nGreen Yellow Blue Red Red Yellow Red Red Yellow Green Red Green\nYellow Red Green Blue Red Blue Blue Yellow Yellow Green Red Green\nYellow Yellow Green Yellow Red Green Blue Red Yellow Yellow Green Red\nGreen Red Red Yellow Yellow Blue Blue Blue Red Yellow Green Green\nBlue Red Green Green Blue Yellow Green Green Red Red Blue Yellow\n\n\nExample 2\nInput:\nBlue Green Blue Green Red Yellow Green Green Red Green\nYellow Blue Green Red Green Yellow Green Blue Blue Blue\nYellow Yellow Blue Blue Yellow Red Green Blue Red Red\nGreen Green Blue Red Green Yellow Green Blue Red Green\nRed Yellow Blue Blue Blue Blue Yellow Yellow Blue Yellow\nYellow Red Yellow Red Red Red Yellow Yellow Red Blue\nYellow Blue Green Blue Green Green Green Green Yellow Green\n\nOutput:\nGreen Yellow Green Yellow Blue Red Yellow Yellow Blue Yellow\nRed Green Yellow Blue Yellow Red Yellow Green Green Green\nRed Red Green Green Red Blue Yellow Green Blue Blue\nYellow Yellow Green Blue Yellow Red Yellow Green Blue Yellow\nBlue Red Green Green Green Green Red Red Green Red\nRed Blue Red Blue Blue Blue Red Red Blue Green\nRed Green Yellow Green Yellow Yellow Yellow Yellow Red Yellow\n\n\nExample 3\nInput:\nRed Green Yellow Yellow Blue Red Blue Yellow Green Blue Yellow\nGreen Red Yellow Red Red Blue Blue Green Yellow Red Red\nBlue Yellow Yellow Green Red Blue Blue Red Blue Blue Green\nGreen Red Yellow Green Green Red Blue Red Green Green Blue\nYellow Green Blue Blue Blue Yellow Blue Blue Red Green Blue\nBlue Green Blue Yellow Yellow Red Red Blue Green Red Green\nRed Blue Red Blue Green Red Yellow Red Blue Blue Blue\n\nOutput:\nBlue Yellow Red Red Green Blue Green Red Yellow Green Red\nYellow Blue Red Blue Blue Green Green Yellow Red Blue Blue\nGreen Red Red Yellow Blue Green Green Blue Green Green Yellow\nYellow Blue Red Yellow Yellow Blue Green Blue Yellow Yellow Green\nRed Yellow Green Green Green Red Green Green Blue Yellow Green\nGreen Yellow Green Red Red Blue Blue Green Yellow Blue Yellow\nBlue Green Blue Green Yellow Blue Red Blue Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlue Green Yellow Red Green Red Blue Green Green\nGreen Blue Blue Yellow Red Yellow Blue Blue Green\nBlue Green Blue Red Green Red Yellow Blue Yellow\nYellow Red Red Yellow Blue Yellow Red Yellow Yellow\nGreen Blue Yellow Blue Yellow Red Blue Green Green\nBlue Yellow Green Green Red Yellow Yellow Yellow Yellow\nYellow Green Red Green Yellow Yellow Yellow Yellow Red\nYellow Blue Red Red Blue Green Yellow Green Red\nRed Green Green Red Green Red Green 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"
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"content": "The output grid for the test input grid is:\n\n```\nGreen Yellow Red Blue Yellow Blue Green Yellow Yellow\nYellow Green Green Red Blue Red Green Green Yellow\nGreen Yellow Green Blue Yellow Blue Red Green Red\nRed Blue Blue Red Green Red Blue Red Red\nYellow Green Red Green Red Blue Green Yellow Yellow\nGreen Red Yellow Yellow Blue Red Red Red Red\nRed Yellow Blue Yellow Red Red Red Red Blue\nRed Green Blue Blue Green Yellow Red Yellow Blue\nBlue Yellow Yellow Blue Yellow Blue Yellow Blue Blue\n```",
"role": "assistant"
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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Brown Orange Pink Yellow Purple Brown Pink Green Pink Orange\nGreen Orange Purple Yellow Pink Black Orange Yellow Orange Brown Orange Orange\nPurple Red Red Red Purple Black Orange Red Orange Orange Blue Purple\nYellow Purple Orange Red Green Green Orange Brown Purple Brown Yellow Green\nGreen Yellow Green Green Purple Purple Black Brown Yellow Purple Pink Pink\nOrange Pink Yellow Blue Green Black Purple Brown Purple Red Black Pink\nBrown Orange Blue Pink Orange Purple Purple Blue Brown Blue Brown Blue\nPurple Orange Black Black Purple Green Black Black Pink Yellow Brown Black\n\nOutput:\nOrange Pink Green Pink Brown Purple Yellow Pink Orange Brown Red Red\nOrange Orange Brown Orange Yellow Orange Black Pink Yellow Purple Orange Green\nPurple Green Orange Orange Red Orange Black Purple Red Red Red Purple\nGreen Yellow Brown Purple Brown Orange Green Green Red Orange Purple Yellow\nPink Pink Purple Yellow Brown Black Purple Purple Green Green Yellow Green\nPink Black Red Purple Brown Purple Black Green Green Yellow Pink Orange\nGreen Brown Green Brown Green Purple Purple Orange Pink Green Orange Brown\nBlack Brown Yellow Pink Black Black Green Purple Black Black Orange Purple\n\n\nExample 2\nInput:\nOrange Blue Yellow Black Pink Red Blue Black Green Orange\nBrown Purple Purple Brown Brown Yellow Brown Purple Black Brown\nGreen Green Red Red Pink Brown Orange Black Orange Pink\nBlue Red Black Orange Pink Purple Purple Black Green Orange\nPurple Green Yellow Pink Yellow Purple Blue Purple Black Pink\nOrange Yellow Yellow Brown Green Orange Pink Blue Orange Pink\nGreen Blue Purple Purple Purple Brown Brown Orange Orange Pink\n\nOutput:\nOrange Green Black Green Red Pink Black Yellow Green Orange\nBrown Black Purple Brown Yellow Brown Brown Purple Purple Brown\nPink Orange Black Orange Brown Pink Red Red Green Green\nOrange Green Black Purple Purple Pink Orange Black Red Green\nPink Black Purple Green Purple Yellow Pink Yellow Green Purple\nPink Orange Green Pink Orange Green Brown Yellow Yellow Orange\nPink Orange Orange Brown Brown Purple Purple Purple Green Green\n\n\nExample 3\nInput:\nOrange Pink Purple Orange Black Red Blue Green Green Brown Yellow\nBrown Black Black Purple Red Orange Green Purple Black Pink Yellow\nPurple Pink Yellow Orange Purple Pink Green Blue Yellow Orange Red\nPurple Black Black Yellow Red Yellow Black Pink Brown Green Brown\nGreen Black Red Green Red Black Red Brown Blue Purple Orange\nRed Orange Black Purple Pink Brown Brown Green Orange Black Green\nPurple Pink Pink Green Brown Pink Yellow Black Red Black Yellow\n\nOutput:\nYellow Brown Green Green Green Red Black Orange Purple Pink Orange\nYellow Pink Black Purple Green Orange Red Purple Black Black Brown\nRed Orange Yellow Green Green Pink Purple Orange Yellow Pink Purple\nBrown Green Brown Pink Black Yellow Red Yellow Black Black Purple\nOrange Purple Green Brown Red Black Red Green Red Black Green\nGreen Black Orange Green Brown Brown Pink Purple Black Orange Red\nYellow Black Red Black Yellow Pink Brown Green Pink Pink Purple\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Brown Yellow Brown Pink Red Yellow Pink\nPink Pink Orange Brown Brown Pink Yellow Pink Yellow\nYellow Pink Orange Orange Black Green Brown Purple Pink\nOrange Black Orange Purple Blue Brown Pink Blue Black\nRed Red Pink Blue Orange Yellow Red Purple Green\nPurple Blue Red Black Green Purple Purple Orange Brown\nGreen Black Pink Black Green Brown Orange Brown Purple\nBlack Orange Green Blue Black Purple Blue Yellow Yellow\nGreen Blue Pink Red Purple Red Orange Purple Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nPink Yellow Red Pink Brown Yellow Brown Black Pink\nYellow Pink Yellow Pink Brown Brown Orange Pink Pink\nPink Purple Brown Green Black Orange Orange Pink Yellow\nBlack Green Pink Brown Green Purple Orange Black Orange\nGreen Purple Red Yellow Orange Green Pink Red Red\nBrown Orange Purple Purple Green Black Red Green Purple\nPurple Brown Orange Brown Green Black Pink Black Green\nYellow Yellow Green Purple Black Green Green Orange Black\nYellow Purple Orange Red Purple Red Pink Green Green\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Orange\nOrange Black Orange Orange Orange Black Orange\nOrange Black Orange Orange Orange Black Orange\nOrange Black Orange Orange Orange Black Orange\nOrange Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black\nGray Gray Gray Black Black Black Black\nGray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\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 Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink 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\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black\nBlack Pink Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBrown Black Black Black Black Purple Black Black\nBlack Black Brown Gray Black Black Green Black\nBlack Pink Black Black Gray Black Black Black\nBlack Black Black Black Brown Black Black Black\n\nOutput:\nBlack Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black\nBlack Gray Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Black Brown Black Black\nBlack Black Purple Pink Black Black Red Black\nBlack Gray Black Black Pink Black Black Black\nBlack Black Black Black Purple Black Black Black\n\n\nExample 2\nInput:\nBlack Brown Black Red Pink Black Black\nBlack Black Black Black Black Black Green\nBlack Green Black Black Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Black Brown Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Purple Black Green Gray Black Black\nBlack Black Black Black Black Black Red\nBlack Red Black Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Black Purple Blue\nBlack Black Black Black Black Black Black\nBlack 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 Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Gray Black Red Black Black Black\nBlue Green Black Black Black Black Black Black Black\nBlack Black Yellow Gray Black Black Green Black Black\nBlack Purple Black Black Red Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Pink Black Green Black Black Black\nYellow Red Black Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Red Black Black\nBlack Brown Black Black Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Brown Yellow Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black\nBlack Black Black Purple Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBrown Black Black 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 Black Purple Blue Black Black Black Black Black\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 Brown Black Black\nBlack Black Black Brown Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nPurple Black Black Black Gray Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Brown Purple Pink Black Black Orange Orange\nGray Orange Black Black Orange Purple Orange Black\nBlue Black Black Purple Brown Black Black Black\nYellow Green Purple Black Black Brown Blue Purple\nYellow Gray Black Blue Purple Blue Red Gray\nBlack Red Red Red Black Black Pink Black\nBlack Black Brown Brown Pink Black Black Black\nBlue Purple Black Purple Green Brown Red Green\n\nOutput:\nGreen Purple Black Purple Yellow Brown Blue Yellow\nBlack Black Brown Brown Pink Black Black Black\nBlack Blue Blue Blue Black Black Pink Black\nRed Gray Black Green Purple Green Blue Gray\nRed Yellow Purple Black Black Brown Green Purple\nGreen Black Black Purple Brown Black Black Black\nGray Orange Black Black Orange Purple Orange Black\nBlack Brown Purple Pink Black Black Orange Orange\n\n\nExample 2\nInput:\nRed Blue Black Brown Blue Brown Black\nBlack Purple Pink Orange Green Black Yellow\nYellow Blue Black Orange Green Blue Black\nGray Black Gray Black Pink Red Yellow\nGray Orange Orange Purple Purple Black Gray\nPurple Green Brown Blue Black Yellow Purple\nGray Blue Brown Green Black Black Green\n\nOutput:\nGray Green Brown Yellow Black Black Yellow\nPurple Yellow Brown Green Black Red Purple\nGray Orange Orange Purple Purple Black Gray\nGray Black Gray Black Pink Blue Red\nRed Green Black Orange Yellow Green Black\nBlack Purple Pink Orange Yellow Black Red\nBlue Green Black Brown Green Brown Black\n\n\nExample 3\nInput:\nYellow Red Green Purple Orange Blue Black Green Black\nBlue Black Orange Red Purple Black Orange Gray Pink\nBlack Brown Black Blue Black Blue Purple Orange Brown\nBlack Blue Black Black Yellow Black Yellow Brown Blue\nBlack Blue Black Blue Black Brown Pink Pink Red\nBlue Black Purple Pink Yellow Brown Black Blue Black\nBlack Purple Black Green Black Brown Black Purple Yellow\n\nOutput:\nBlack Purple Black Yellow Black Brown Black Purple Red\nGreen Black Purple Pink Red Brown Black Green Black\nBlack Green Black Green Black Brown Pink Pink Blue\nBlack Green Black Black Red Black Red Brown Green\nBlack Brown Black Green Black Green Purple Orange Brown\nGreen Black Orange Blue Purple Black Orange Gray Pink\nRed Blue Yellow Purple Orange Green Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Brown Brown Black Pink Black Brown Black\nPink Black Yellow Orange Gray Pink Brown Black Blue\nPurple Gray Pink Green Orange Black Green Red Black\nOrange Yellow Blue Gray Black Black Black Yellow Black\nBlack Black Orange Green Purple Pink Gray Orange Red\nYellow Orange Brown Yellow Black Black Gray Pink Brown\nPink Red Black Black Red Orange Pink Black Blue\nBlack Orange Purple Brown Gray Black Green Black Black\nYellow Gray Red Black Black Gray Black Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Gray Blue Black Black Gray Black Black Brown\nBlack Orange Purple Brown Gray Black Yellow Black Black\nPink Blue Black Black Blue Orange Pink Black Green\nRed Orange Brown Red Black Black Gray Pink Brown\nBlack Black Orange Yellow Purple Pink Gray Orange Blue\nOrange Red Green Gray Black Black Black Red Black\nPurple Gray Pink Yellow Orange Black Yellow Blue Black\nPink Black Red Orange Gray Pink Brown Black Green\nBlack Gray Brown Brown Black Pink Black Brown 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Blue Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Purple Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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\nOrange Blue Green Pink Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Blue Blue Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Blue Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple 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\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\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple 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\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\nGreen Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Pink Pink Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray 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 Yellow Blue Gray Gray Red Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Brown Brown Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Green Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Green Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Green Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\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\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\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\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\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\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\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\nRed Red Red Red Red Red Red Red Yellow Pink Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Blue Blue Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Orange Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Orange Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green\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\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\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\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\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\n\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 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\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\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\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\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\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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\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\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\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\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\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Black Black Black Black Black Blue\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nGreen Black Black Black Black Black Gray\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Black Black Black Black Black Gray\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBrown Black Black Black Black Black Red\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Brown\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nPurple Black Black Black Black Black Red\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Black Black Black Black Yellow\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlue Black 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```\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack 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:\nBlue Green Red Brown Pink Orange Purple Yellow Gray Gray\nGray Pink Orange Purple Yellow Gray Blue Green Blue Blue\nYellow Brown Blue Green Red Brown Pink Red Green Green\nPurple Red Gray Purple Yellow Gray Orange Brown Red Red\nOrange Green Yellow Orange Pink Blue Purple Pink Brown Brown\nPink Blue Purple Pink Brown Green Yellow Orange Pink Pink\nBrown Gray Orange Brown Green Blue Gray Purple Orange Orange\nRed Yellow Pink Red Green Blue Gray Yellow Purple Purple\nGreen Purple Pink Brown Red Green Blue Gray Yellow Yellow\nBlue Yellow Purple Orange Pink Brown Red Green Blue Gray\n\nOutput:\nBlue Green Red Brown Pink Orange Purple Yellow Gray Blue\nYellow Purple Yellow Gray Blue Green Red Brown Pink Green\nPurple Pink Pink Orange Purple Yellow Gray Blue Orange Red\nOrange Brown Red Brown Pink Orange Purple Green Purple Brown\nPink Red Green Green Brown Pink Yellow Red Yellow Pink\nBrown Green Blue Blue Green Blue Gray Brown Gray Orange\nRed Blue Gray Gray Yellow Purple Orange Pink Blue Purple\nGreen Gray Yellow Purple Orange Pink Brown Red Green Yellow\nBlue Yellow Purple Orange Pink Brown Red Green Blue Gray\nGray Yellow Purple Orange Pink Brown Red Green Blue Gray\n\n\nExample 2\nInput:\nRed Purple Blue Yellow Brown Orange Pink Green Gray Gray\nGray Brown Orange Pink Green Gray Red Purple Red Red\nGreen Yellow Red Purple Blue Yellow Brown Blue Purple Purple\nPink Blue Gray Pink Green Gray Orange Yellow Blue Blue\nOrange Purple Green Orange Brown Red Pink Brown Yellow Yellow\nBrown Red Pink Brown Yellow Purple Green Orange Brown Brown\nYellow Gray Orange Yellow Purple Red Gray Pink Orange Orange\nBlue Green Brown Blue Purple Red Gray Green Pink Pink\nPurple Pink Brown Yellow Blue Purple Red Gray Green Green\nRed Green Pink Orange Brown Yellow Blue Purple Red Gray\n\nOutput:\nRed Purple Blue Yellow Brown Orange Pink Green Gray Red\nGreen Pink Green Gray Red Purple Blue Yellow Brown Purple\nPink Brown Brown Orange Pink Green Gray Red Orange Blue\nOrange Yellow Blue Yellow Brown Orange Pink Purple Pink Yellow\nBrown Blue Purple Purple Yellow Brown Green Blue Green Brown\nYellow Purple Red Red Purple Red Gray Yellow Gray Orange\nBlue Red Gray Gray Green Pink Orange Brown Red Pink\nPurple Gray Green Pink Orange Brown Yellow Blue Purple Green\nRed Green Pink Orange Brown Yellow Blue Purple Red Gray\nGray Green Pink Orange Brown Yellow Blue Purple Red Gray\n\n\nExample 3\nInput:\nRed Brown Purple Yellow Blue Gray Orange Green Pink Pink\nPink Blue Gray Orange Green Pink Red Brown Red Red\nGreen Yellow Red Brown Purple Yellow Blue Purple Brown Brown\nOrange Purple Pink Orange Green Pink Gray Yellow Purple Purple\nGray Brown Green Gray Blue Red Orange Blue Yellow Yellow\nBlue Red Orange Blue Yellow Brown Green Gray Blue Blue\nYellow Pink Gray Yellow Brown Red Pink Orange Gray Gray\nPurple Green Blue Purple Brown Red Pink Green Orange Orange\nBrown Orange Blue Yellow Purple Brown Red Pink Green Green\nRed Green Orange Gray Blue Yellow Purple Brown Red Pink\n\nOutput:\nRed Brown Purple Yellow Blue Gray Orange Green Pink Red\nGreen Orange Green Pink Red Brown Purple Yellow Blue Brown\nOrange Blue Blue Gray Orange Green Pink Red Gray Purple\nGray Yellow Purple Yellow Blue Gray Orange Brown Orange Yellow\nBlue Purple Brown Brown Yellow Blue Green Purple Green Blue\nYellow Brown Red Red Brown Red Pink Yellow Pink Gray\nPurple Red Pink Pink Green Orange Gray Blue Red Orange\nBrown Pink Green Orange Gray Blue Yellow Purple Brown Green\nRed Green Orange Gray Blue Yellow Purple Brown Red Pink\nPink Green Orange Gray Blue Yellow Purple Brown Red Pink\n\n\nHere is the input grid for the test example:\nInput:\nGreen Blue Red Purple Orange Pink Brown Gray Yellow Yellow\nYellow Orange Pink Brown Gray Yellow Green Blue Green Green\nGray Purple Green Blue Red Purple Orange Red Blue Blue\nBrown Red Yellow Brown Gray Yellow Pink Purple Red Red\nPink Blue Gray Pink Orange Green Brown Orange Purple Purple\nOrange Green Brown Orange Purple Blue Gray Pink Orange Orange\nPurple Yellow Pink Purple Blue Green Yellow Brown Pink Pink\nRed Gray Orange Red Blue Green Yellow Gray Brown Brown\nBlue Brown Orange Purple Red Blue Green Yellow Gray Gray\nGreen Gray Brown Pink Orange Purple Red Blue Green Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Blue Red Purple Orange Pink Brown Gray Yellow Green\nGray Brown Gray Yellow Green Blue Red Purple Orange Blue\nBrown Orange Orange Pink Brown Gray Yellow Green Pink Red\nPink Purple Red Purple Orange Pink Brown Blue Brown Purple\nOrange Red Blue Blue Purple Orange Gray Red Gray Orange\nPurple Blue Green Green Blue Green Yellow Purple Yellow Pink\nRed Green Yellow Yellow Gray Brown Pink Orange Green Brown\nBlue Yellow Gray Brown Pink Orange Purple Red Blue Gray\nGreen Gray Brown Pink Orange Purple Red Blue Green Yellow\nYellow Gray Brown Pink Orange Purple Red Blue Green 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 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 Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange\nBlack Black Black Black Black\nOrange Orange Orange Orange Orange\nBlack Black Black Black Black\nOrange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black\n\nOutput:\nOrange Orange Orange Orange Orange\nBlack Black Black Black Black\nOrange Orange Orange Orange Orange\nBlack Black Black Black Black\nOrange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow 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```\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black\nOrange 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 Blue Black Green Green Black Black\nBrown Black Blue Black Green Green Black Black\nBrown Brown Yellow Yellow Green Green Black Black\nBrown Brown Yellow Yellow Black Blue Blue Black\nBlack Brown Yellow Yellow Black Blue Blue Black\nBlack Black Black Black Black Blue Blue Black\n\nOutput:\nBlack Black Yellow Black Brown Brown Black Black\nGreen Black Yellow Black Brown Brown Black Black\nGreen Green Blue Blue Brown Brown Black Black\nGreen Green Blue Blue Black Yellow Yellow Black\nBlack Green Blue Blue Black Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Black\n\n\nExample 2\nInput:\nRed Red Black Black Black Black\nBlack Black Black Black Black Black\nBlack Yellow Blue Blue Blue Black\nBlack Yellow Blue Blue Blue Black\nBlack Yellow Black Black Red Red\nBlack Black Black Black Red Red\nBlack Black Black Red Red Red\n\nOutput:\nRed Red Black Black Black Black\nBlack Black Black Black Black Black\nBlack Blue Yellow Yellow Yellow Black\nBlack Blue Yellow Yellow Yellow Black\nBlack Blue Black Black Red Red\nBlack Black Black Black Red Red\nBlack Black Black Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Red Red Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Black Green Green\nBlack Black Black Black Black Green Green\n\nOutput:\nBlack Black Black Black Red Red Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Green Green Black Brown Brown\nBlack Black Black Black Black Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Black Brown\nBlack Black Red Black Black\nBlack Black Black Black Black\nYellow Black Green Black Black\nYellow 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"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Black Green\nBlack Black Red Black Black\nBlack Black Black Black Black\nBlue Black Brown Black Black\nBlue Black Brown Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Purple Purple Purple Brown Brown Brown\nGray Gray Gray Purple Purple Purple Brown Brown Brown\nGray Gray Gray Purple Purple Purple Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Yellow Yellow Yellow\nOrange Orange Orange Purple Purple Purple Yellow Yellow Yellow\nOrange Orange Orange Purple Purple Purple Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nBrown Brown Brown Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nYellow Yellow Yellow Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlue Blue Blue Pink Pink Pink Green Green Green\nBlue Blue Blue Pink Pink Pink Green Green Green\nBlue Blue Blue Pink Pink Pink Green Green Green\nRed Red Red Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Yellow Yellow Yellow\nOrange Orange Orange Pink Pink Pink Green Green Green\nOrange Orange Orange Pink Pink Pink Green Green Green\nOrange Orange Orange Pink Pink Pink Green Green Green\n\nOutput:\nGreen Green Green Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Green Green Green\nYellow Yellow Yellow Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Green Green Green\nYellow Yellow Yellow Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Green Green Green\n\n\nExample 3\nInput:\nBlue Blue Blue Green Green Green Red Red Red\nBlue Blue Blue Green Green Green Red Red Red\nBlue Blue Blue Green Green Green Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Orange Orange Orange Green Green Green\nGray Gray Gray Orange Orange Orange Green Green Green\nGray Gray Gray Orange Orange Orange Green Green Green\n\nOutput:\nGreen Green Green Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Green Green Green\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nRed Red Red Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Red Red Red\nRed Red Red Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Red Red Red\nRed Red Red Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Red Red Red\nRed Red Red Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Red Red Red\nRed Red Red Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Red Red Red\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nGreen Green Green Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown\nPink Pink Pink Green Green Green Gray Gray Gray\nPink Pink Pink Green Green Green Gray Gray Gray\nPink Pink Pink Green Green Green Gray Gray Gray\nPink Pink Pink Gray Gray Gray Gray Gray Gray\nPink Pink Pink Gray Gray Gray Gray Gray Gray\nPink Pink Pink 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Green Green Green Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown\nGray Gray Gray Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Green Green Green Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black\nBlack Black Black Black Red Red Black Black Black\nRed Red Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Black Black Black\nBlack Black Red Red Blue 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\nRed Red Red Red Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Black Black Black\nBlack Black Blue Blue Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Red Red Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Red Red Black Black Black Black\nBlack Black Black Red Red 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 Red Red Red Red Black Black\nBlack Black Black Red Red Red Red 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 Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Brown 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 Black Black Black Black Black\nBlack Black Black Pink Pink 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\nBlack Pink Pink Pink Pink Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Pink Black Orange Black Black Black Purple Black Black\nGray Black Black Black Black Pink Pink Pink Pink Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Green 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 Brown Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Brown 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 Black Black Black Black Black\nBlack Black Black Pink Pink 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\nBlack Pink Pink Pink Pink Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Pink Black Orange Black Black Black Purple Black Black\nGray Pink Pink Pink Black Pink Pink Pink Pink Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Green Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Blue Blue Blue Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Red Red Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Red Purple Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Orange Orange Orange Black Black Black\nBlack Black Blue Blue Black Red Red Black Black Black Orange Orange Black Black Black\nBrown Black Blue Black Yellow Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Blue Blue Blue Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Red Red Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Red Purple Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Orange Orange Orange Black Black Black\nBlack Blue Blue Blue Black Red Red Black Orange Orange Orange Orange Black Black Black\nBrown Blue Blue Black Yellow Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Brown Black Black Black Black Black Orange Orange Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Brown Black Black Black Black Black Black Red Gray Black Black Black\nBlack Black Black Black Brown Black Black Black Black Brown Red Red Red Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Red Black Black Black Black\nOrange Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Brown Black Black Black Black Black Black Red Gray Black Black Black\nBlack Black Black Black Brown Black Black Black Black Brown Red Red Gray Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Red Red Red Black Black Black\nOrange Black Black Brown Brown Brown Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Gray Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Brown Orange Black Black Black Orange Pink Pink Pink Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Pink Black Black Gray Gray Gray Black Black Black Black\nBlack Black Brown Brown Brown Black Black Gray Black Gray Black Black Black Black\nBlack Black Black Black Black Brown Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Gray 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"
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{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Gray Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Brown Orange Black Black Orange Pink Pink Pink Pink Black Black\nBlack Black Brown Brown Orange Brown Black Black Pink Pink Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Pink Black Black Gray Gray Gray Black Black Black Black\nBlack Black Brown Brown Brown Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Brown Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Gray 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:\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\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\nRed 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\nRed 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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\nBlue 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\nBlue 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\nBlue 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\n\nOutput:\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 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 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 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 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 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 Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple 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 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 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 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 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 Purple Purple Purple Purple Purple Purple Purple\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\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 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 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 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 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 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 Gray Gray Gray Gray\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink 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 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 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 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 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 Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple 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 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 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 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 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 Purple Purple Purple Purple Purple Purple Purple\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\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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nOrange 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\nOrange 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\nOrange 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\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```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Pink Red Green Black\nBlack Black Black Black Black\nRed Red Brown Brown Black\nGreen Red Black Black Black\nBlack Black Black Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nPink Pink Black Black Black Yellow\nBlack Black Black Black Black Red\nBlack Blue Black Blue Blue Red\nBlack Blue Black Black Black Blue\nBlack Blue Black Black Black Yellow\nBlack Black Black Black Black Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Orange Blue Black Black Black\nGreen Green Black Black Black Blue Purple\nGreen Green Black Black Blue Black Brown\nBlack Black Black Black Blue Black Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Blue\nOrange Orange Green Gray Black\nOrange Black Green Black Black\nOrange Orange Black Black Black\nBlack Black Blue Blue Green\nBlack Black Blue Blue Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\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\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red 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\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red 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\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red 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 Red Red Black Black Black Black\nBlack Black Black Black Red Red 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 Red Red Red Red Black Black\nBlack Black Black 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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red 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\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red 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\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red 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 Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black 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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black 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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black 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 Red Red Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black 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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple 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 Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple 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 Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple 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 Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple 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 Black Black Black Black 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 Black Black Black Black Black Black Black Black 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 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\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\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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue 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 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\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\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\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Black Black Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Black Black Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Gray Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black\nBlack Black Green Green 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 Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black 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\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 Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black 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 Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Black Black Black Black Black Brown\nBlack Gray Purple Pink Pink Gray Purple Black\nBlack Orange Green Yellow Yellow Orange Brown Black\nBlack Purple Brown Gray Yellow Purple Green Black\nBlack Green Green Purple Blue Orange Green Black\nBlack Orange Orange Red Purple Yellow Orange Black\nBlack Purple Gray Pink Blue Orange Gray Black\nBlack Orange Brown Orange Orange Green Green Black\nBlack Brown Orange Pink Gray Purple Brown Black\nGray Black Black Black Black Black Black Blue\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 Black Green Green Brown Brown\nBlack Black Black Black Green Green Brown Brown\nBlack Black Black Black Gray Gray Blue Blue\nBlack Black Black Black Gray Gray Blue Blue\n\n\nExample 2\nInput:\nPurple Black Black Black Black Black Black Black Black Red\nBlack Purple Red Purple Blue Pink Red Green Blue Black\nBlack Orange Pink Purple Purple Blue Yellow Orange Yellow Black\nBlack Yellow Green Green Pink Brown Orange Blue Orange Black\nBlack Pink Brown Purple Purple Brown Brown Gray Brown Black\nBlack Purple Blue Brown Orange Red Gray Blue Pink Black\nPink Black Black Black Black Black Black Black Black Gray\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 Purple Purple Red\nBlack Black Black Black Black Black Black Purple Purple Red\nBlack Black Black Black Black Black Black Pink Pink Gray\n\n\nExample 3\nInput:\nRed Black Black Black Black Black Black Black Black Black Pink\nBlack Blue Green Brown Red Purple Orange Purple Blue Blue Black\nBlack Gray Green Gray Blue Pink Brown Yellow Brown Purple Black\nBlack Pink Gray Orange Purple Pink Yellow Red Gray Orange Black\nBlack Green Brown Blue Blue Purple Green Orange Yellow Purple Black\nBlack Blue Pink Gray Orange Pink Purple Orange Blue Green Black\nBrown Black Black Black Black Black Black Black Black Black Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Pink\nBlack Black Black Black Black Black Black Black Red Red Pink\nBlack Black Black Black Black Black Black Black Brown Brown Purple\n\n\nHere is the input grid for the test example:\nInput:\nOrange Black Black Black Black Black Black Black Blue\nBlack Purple Purple Red Green Blue Yellow Purple Black\nBlack Purple Orange Brown Green Green Pink Red Black\nBlack Orange Gray Green Purple Yellow Orange Blue Black\nBlack Orange Purple Red Brown Pink Red Blue Black\nBlack Gray Pink Orange Orange Blue Yellow Brown Black\nBlack Purple Pink Pink Pink Orange Brown Brown Black\nBlack Pink Gray Pink Gray Pink Blue Brown Black\nBrown Black Black Black Black Black Black Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Blue Blue\nBlack Black Black Black Black Orange Orange Blue Blue\nBlack Black Black Black Black Brown Brown Yellow Yellow\nBlack Black Black Black Black Brown Brown Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Yellow Yellow Blue Pink Green Green Green Yellow Green Green Green\nGreen Orange Orange Green Green Green Green Green Green Green Yellow Pink\nGreen Orange Pink Green Blue Orange Green Green Yellow Pink Green Orange\nPink Green Yellow Green Green Yellow Green Orange Yellow Blue Yellow Blue\nGreen Green Yellow Blue Green Green Green Green Green Green Blue Green\nYellow Orange Blue Green Green Green Orange Green Green Yellow Blue Green\nYellow Orange Green Yellow Yellow Green Pink Blue Blue Yellow Green Yellow\nGreen Yellow Orange Green Orange Blue Green Green Green Orange Yellow Pink\n\nOutput:\nRed Yellow Yellow Blue Pink Red Red Red Yellow Red Red Red\nRed Orange Orange Red Red Red Red Red Red Red Yellow Pink\nRed Orange Pink Red Blue Orange Red Red Yellow Pink Red Orange\nPink Red Yellow Red Red Yellow Red Orange Yellow Blue Yellow Blue\nRed Red Yellow Blue Red Red Red Red Red Red Blue Red\nYellow Orange Blue Red Red Red Orange Red Red Yellow Blue Red\nYellow Orange Red Yellow Yellow Red Pink Blue Blue Yellow Red Yellow\nRed Yellow Orange Red Orange Blue Red Red Red Orange Yellow Pink\n\n\nExample 2\nInput:\nOrange Green Orange Yellow Yellow Green Green Green Green Pink\nGreen Blue Pink Green Green Green Green Green Blue Pink\nPink Green Pink Orange Green Orange Yellow Green Yellow Pink\nYellow Green Green Orange Blue Green Orange Yellow Orange Yellow\nGreen Blue Orange Green Pink Green Blue Blue Green Orange\nBlue Green Green Pink Pink Green Green Green Green Green\nBlue Yellow Green Green Yellow Orange Green Yellow Green Green\n\nOutput:\nOrange Red Orange Yellow Yellow Red Red Red Red Pink\nRed Blue Pink Red Red Red Red Red Blue Pink\nPink Red Pink Orange Red Orange Yellow Red Yellow Pink\nYellow Red Red Orange Blue Red Orange Yellow Orange Yellow\nRed Blue Orange Red Pink Red Blue Blue Red Orange\nBlue Red Red Pink Pink Red Red Red Red Red\nBlue Yellow Red Red Yellow Orange Red Yellow Red Red\n\n\nExample 3\nInput:\nGreen Blue Green Green Pink Yellow Orange Green Yellow Green Pink\nGreen Blue Green Orange Orange Pink Orange Green Green Pink Pink\nPink Orange Yellow Green Green Blue Green Yellow Yellow Pink Yellow\nGreen Green Green Blue Green Blue Green Blue Green Blue Blue\nGreen Yellow Green Green Green Green Pink Orange Pink Yellow Green\nGreen Pink Green Yellow Yellow Orange Orange Orange Blue Green Green\nGreen Orange Green Orange Pink Blue Green Orange Blue Yellow Green\n\nOutput:\nRed Blue Red Red Pink Yellow Orange Red Yellow Red Pink\nRed Blue Red Orange Orange Pink Orange Red Red Pink Pink\nPink Orange Yellow Red Red Blue Red Yellow Yellow Pink Yellow\nRed Red Red Blue Red Blue Red Blue Red Blue Blue\nRed Yellow Red Red Red Red Pink Orange Pink Yellow Red\nRed Pink Red Yellow Yellow Orange Orange Orange Blue Red Red\nRed Orange Red Orange Pink Blue Red Orange Blue Yellow Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Pink Orange Green Green Blue Orange Green\nYellow Green Blue Yellow Yellow Orange Green Pink Green\nOrange Pink Blue Green Yellow Yellow Pink Blue Green\nGreen Green Green Pink Green Green Green Orange Green\nPink Yellow Orange Pink Green Pink Green Yellow Pink\nOrange Green Orange Green Green Pink Blue Green Yellow\nGreen Green Green Yellow Yellow Orange Orange Yellow Blue\nGreen Green Green Yellow Blue Yellow Orange Green Green\nGreen Orange Green Green Yellow Orange Pink Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Pink Orange Red Red Blue Orange Red\nYellow Red Blue Yellow Yellow Orange Red Pink Red\nOrange Pink Blue Red Yellow Yellow Pink Blue Red\nRed Red Red Pink Red Red Red Orange Red\nPink Yellow Orange Pink Red Pink Red Yellow Pink\nOrange Red Orange Red Red Pink Blue Red Yellow\nRed Red Red Yellow Yellow Orange Orange Yellow Blue\nRed Red Red Yellow Blue Yellow Orange Red Red\nRed Orange Red Red Yellow Orange Pink 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:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Green Blue\nBlue Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nGreen Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Green Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Green Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nGreen Black Black Green Black Black Green\nGreen Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nGreen Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Green Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Black Black Black Black Green Green\nGreen Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nGreen Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Green Black Blue\nBlue Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Green Black Green\nGreen Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Brown Brown Black Black\nBrown Brown Black Black Brown Brown Black Black Brown Brown Black Black\n\nOutput:\nBrown Brown Brown Brown Black Black Black Black Brown Brown Black Black\nBrown Brown Brown Brown Black Black Black Black Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Brown Brown Black Black\nBrown Brown Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Brown Brown Black Black\nBrown Brown Black Black Brown Brown Black Black Brown Brown Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack 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 Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\nPink Pink Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\nPink Pink Black Black Black Black Black Black\nPink Pink Black Black Black 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 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\nPurple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Purple Purple Black Black Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Black Black\nPurple Purple Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black\nBlue Black Black Black Black Black Brown Black\nBlack Black Brown Black Black Black Black Brown\nBlack Black Black Black Black Yellow Black Black\nBlack Green Black Pink Green Black Black Black\nBlack Black Black Black Purple Black Black Brown\nBlack Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black\nBrown Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black\nBlack Pink Black Black Black Brown Yellow Black\nBlack Black Black Black Black Green Black Black\nBlack Purple Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Green Black\n\nOutput:\nBlack Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black\nBlue Black Black Black Black Black Brown Black\nBlack Black Brown Black Black Black Black Brown\nBlack Black Black Black Black Yellow Black Black\nBlack Brown Black Gray Brown Black Black Black\nBlack Black Black Black Purple Black Black Brown\nBlack Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black\nBrown Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black\nBlack Gray Black Black Black Brown Yellow Black\nBlack Black Black Black Black Brown Black Black\nBlack Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black\n\n\nExample 2\nInput:\nBlack Black Pink Black Green Yellow Black Red Black Black\nBlack Pink Black Yellow Black Black Gray Black Black Black\nBlack Orange Black Black Yellow Black Purple Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Purple\nPink Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Blue\n\nOutput:\nBlack Black Gray Black Brown Yellow Black Red Black Black\nBlack Gray Black Yellow Black Black Gray Black Black Black\nBlack Purple Black Black Yellow Black Purple Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Purple\nGray Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Green Orange Black Black Black Black Black Blue\nBlack Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Green Black Black\nBlack Black Black Black Green Black Black Black Black Black Black\nGreen Black Black Black Black Orange Black Black Pink Purple Black\nBlack Yellow Black Purple Orange Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Brown Purple Black Black Black Black Black Blue\nBlack Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Brown Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black\nBrown Black Black Black Black Purple Black Black Gray Purple Black\nBlack Yellow Black Purple Purple Brown 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\nGray Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Black Black Black Red\nRed Black Black Blue Orange Black Brown Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Green Black Yellow 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 Black Black\nBlack Black Black Black Black Black Black Black Black\nGray Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Black Black Black Red\nRed Black Black Blue Purple Black Brown Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Brown Black Yellow Black Black Black Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen Green Green Green Green Green Green Green Pink Pink Pink Pink Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Pink Pink Pink Pink Green Green Green Green Green Green\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Green Green Green Green\nGreen Green Green Green Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Gray Gray Gray Gray Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGreen Green Gray Gray Gray Gray Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGreen 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\nGreen 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\n\n\nExample 2\nInput:\nBlack 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 Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Green Green Green Green\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Green Green Black Black\nPink Pink Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Yellow Yellow 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\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Gray Gray Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Gray Gray Green Green Green Green Green Green Green Green\nPink Pink Green Green Green Green Green Green Gray Gray Green Green Green Green Green Green Green Green\nPink Pink Green Green Green Green Green Green Gray Gray Green Green Green Green Green Green Green Green\nPink Pink Green Green Green Green Gray Gray Gray Gray Green Green Green Green Green Green Green Green\nPink Pink Green Green Green Green Gray Gray Gray Gray 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Green Green Green Green Green Green\nPink Pink Green Green Green Green Yellow Yellow Green Green Green Green Green Green Green Green Green Green\nPink Pink Green Green Green Green Yellow Yellow Green Green Green Green Green Green Green Green Green Green\nPink Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlue Blue Black Black Brown Brown Brown Brown Black Black\nBlue Blue Black Black Brown Brown Brown Brown Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Yellow Yellow\nBlue Blue Blue Blue Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Black Black Black Black Yellow Yellow\nGray Gray Gray Gray Black Black Black Black Yellow Yellow\n\nOutput:\nBlue Blue Green Green Brown Brown Brown Brown Green Green\nBlue Blue Green Green Brown Brown Brown Brown Green Green\nBlue Blue Green Green Green Green Green Green Green Green\nBlue Blue Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Green Green Green Green Yellow Yellow\nBlue Blue Blue Blue Green Green Green Green Yellow Yellow\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 Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Green Green Green Green Yellow Yellow\nGray Gray Gray Gray Green Green Green Green Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Green Green Green Green\nOrange Orange Black Black Black Black Green Green Green Green\nOrange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Yellow Yellow Green Green\nGreen Green Green Green Green Green Yellow Yellow Green Green\nBlue Blue Blue Blue Green Green Green Green Green Green\nBlue Blue Blue Blue 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\nOrange Orange Green Green Green Green Green Green Green Green\nOrange Orange Green Green Green Green Green Green Green Green\nOrange Orange Green Green Green Green Green Green Green Green\nOrange Orange Green Green Green Green Green Green Green Green\nOrange Orange Green Green Green Green Green Green Green Green\nOrange Orange Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Blue Blue Blue Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Blue Blue Blue\nBlack Black Yellow Yellow Yellow Yellow Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black\nBlack Purple Purple Purple Black Black Brown Brown Black Black Black\nBlack Purple Purple Purple Purple Black Brown Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Black Blue Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black\nGreen Black Black Black Black Black Gray Gray Black Black Orange Black Black\nGreen Green Black Black Black Black Gray Gray Black Black Orange Black Black\nGreen Green Black Black Black Black Black Black Black Orange Orange Black Black\nGreen Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Pink Pink Black Black Black Black Black Black Black Purple Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlue Black Black Black Black Black Blue Blue Black Black Blue Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Blue Black Black\nBlue Blue Black Black Black Black Black Black Black Blue Blue Black Black\nBlue Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Blue Blue Black Black Black Black Black Black Black Blue Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue 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 Pink\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 Black Black Pink\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Gray Gray Gray Gray Black Black Black Black Black\nGreen Green Green 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\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 Blue\nBlack 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 Blue\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Gray Black Gray Black Black Black Black Purple Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Blue Black Blue Black Black Black Black Blue Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Blue Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black\n\nOutput:\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Black\nYellow Black Yellow Black Black Yellow Black Yellow Black Black\nYellow Yellow Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow\nBlack Black Yellow Black Yellow Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Black\nYellow Black Yellow Black Black Yellow Black Yellow Black Black\nYellow Yellow Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow\nBlack Black Yellow Black Yellow Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Black Black Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Green Red Red\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Red Black Black\n\nOutput:\nBlack Black Red Black Black Black Black Red Black Black\nBlack Red Red Red Black Black Red Red Red Black\nRed Red Green Red Red Red Red Green Red Red\nBlack Red Red Red Black Black Red Red Red Black\nBlack Black Red Black Black Black Black Red Black Black\nBlack Black Red Black Black Black Black Red Black Black\nBlack Red Red Red Black Black Red Red Red Black\nRed Red Green Red Red Red Red Green Red Red\nBlack Red Red Red Black Black Red Red Red Black\nBlack Black Red Black Black Black Black Red Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Blue Pink Gray Blue\nBlack Black Black Black Black Purple Purple Gray Blue Blue\nBlack Black Black Black Black Yellow Blue Black Black Black\nBlack Black Black Black Black Purple Purple Gray Blue Blue\nBlack Black Black Black Black Purple Blue Pink Gray Blue\n\nOutput:\nPurple Blue Pink Gray Blue Purple Blue Pink Gray Blue\nPurple Purple Gray Blue Blue Purple Purple Gray Blue Blue\nYellow Blue Black Black Black Yellow Blue Black Black Black\nPurple Purple Gray Blue Blue Purple Purple Gray Blue Blue\nPurple Blue Pink Gray Blue Purple Blue Pink Gray Blue\nPurple Blue Pink Gray Blue Purple Blue Pink Gray Blue\nPurple Purple Gray Blue Blue Purple Purple Gray Blue Blue\nYellow Blue Black Black Black Yellow Blue Black Black Black\nPurple Purple Gray Blue Blue Purple Purple Gray Blue Blue\nPurple Blue Pink Gray Blue Purple Blue Pink Gray Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Gray Green Red Green Gray\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Gray Black Black Black Black Gray Black Black\nBlack Black Green Black Black Black Black Green Black Black\nGray Green Red Green Gray Gray Green Red Green Gray\nBlack Black Green Black Black Black Black Green Black Black\nBlack Black Gray Black Black Black Black Gray Black Black\nBlack Black Gray Black Black Black Black Gray Black Black\nBlack Black Green Black Black Black Black Green Black Black\nGray Green Red Green Gray Gray Green Red Green Gray\nBlack Black Green Black Black Black Black Green Black Black\nBlack Black Gray Black Black Black Black 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:\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 Orange Orange Orange Black\nBlack Black Black Black Orange Orange Orange Black\nBlack Black Black Black Orange Orange Orange Black\nBlack Black Black Black Orange Orange Orange 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 Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black\nBlack Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\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 Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink Black\nBlack Black Black 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 Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack 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\nYellow 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\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Green Green Orange Orange Yellow Yellow Orange Orange Purple Purple Orange Orange Gray Gray\nPurple Purple Green Green Orange Orange Yellow Yellow Orange Orange Purple Purple Orange Orange Gray Gray\nBrown Brown Green Green Gray Gray Orange Orange Green Green Green Green Brown Brown Purple Purple\nBrown Brown Green Green Gray Gray Orange Orange Green Green Green Green Brown Brown Purple Purple\nPink Pink Brown Brown Orange Orange Purple Purple Orange Orange Green Green Purple Purple Orange Orange\nPink Pink Brown Brown Orange Orange Purple Purple Orange Orange Green Green Purple Purple Orange Orange\nYellow Yellow Orange Orange Brown Brown Gray Gray Orange Orange Green Green Brown Brown Green Green\nYellow Yellow Orange Orange Brown Brown Gray Gray Orange Orange Green Green Brown Brown Green Green\nPink Pink Pink Pink Orange Orange Pink Pink Red Red Purple Purple Gray Gray Yellow Yellow\nPink Pink Pink Pink Orange Orange Pink Pink Red Red Purple Purple Gray Gray Yellow Yellow\nOrange Orange Gray Gray Orange Orange Blue Blue Purple Purple Blue Blue Yellow Yellow Yellow Yellow\nOrange Orange Gray Gray Orange Orange Blue Blue Purple Purple Blue Blue Yellow Yellow Yellow Yellow\n\nOutput:\nBlue Blue Pink Pink Blue Blue Yellow Yellow Brown Brown Yellow Yellow Blue Blue Blue Blue\nBlue Blue Pink Pink Blue Blue Yellow Yellow Brown Brown Yellow Yellow Blue Blue Blue Blue\nGray Gray Gray Gray Blue Blue Gray Gray Green Green Brown Brown Pink Pink Blue Blue\nGray Gray Gray Gray Blue Blue Gray Gray Green Green Brown Brown Pink Pink Blue Blue\nBlue Blue Blue Blue Purple Purple Pink Pink Blue Blue Red Red Purple Purple Red Red\nBlue Blue Blue Blue Purple Purple Pink Pink Blue Blue Red Red Purple Purple Red Red\nGray Gray Purple Purple Blue Blue Brown Brown Blue Blue Red Red Brown Brown Blue Blue\nGray Gray Purple Purple Blue Blue Brown Brown Blue Blue Red Red Brown Brown Blue Blue\nPurple Purple Red Red Pink Pink Blue Blue Red Red Red Red Purple Purple Brown Brown\nPurple Purple Red Red Pink Pink Blue Blue Red Red Red Red Purple Purple Brown Brown\nBrown Brown Red Red Blue Blue Blue Blue Blue Blue Brown Brown Blue Blue Pink Pink\nBrown Brown Red Red Blue Blue Blue Blue Blue Blue Brown Brown Blue Blue Pink Pink\nPurple Purple Green Green Orange Orange Yellow Yellow Orange Orange Purple Purple Orange Orange Gray Gray\nPurple Purple Green Green Orange Orange Yellow Yellow Orange Orange Purple Purple Orange Orange Gray Gray\nBrown Brown Green Green Gray Gray Orange Orange Green Green Green Green Brown Brown Purple Purple\nBrown Brown Green Green Gray Gray Orange Orange Green Green Green Green Brown Brown Purple Purple\nPink Pink Brown Brown Orange Orange Purple Purple Orange Orange Green Green Purple Purple Orange Orange\nPink Pink Brown Brown Orange Orange Purple Purple Orange Orange Green Green Purple Purple Orange Orange\nYellow Yellow Orange Orange Brown Brown Gray Gray Orange Orange Green Green Brown Brown Green Green\nYellow Yellow Orange Orange Brown Brown Gray Gray Orange Orange Green Green Brown Brown Green Green\nPink Pink Pink Pink Orange Orange Pink Pink Red Red Purple Purple Gray Gray Yellow Yellow\nPink Pink Pink Pink Orange Orange Pink Pink Red Red Purple Purple Gray Gray Yellow Yellow\nOrange Orange Gray Gray Orange Orange Blue Blue Purple Purple Blue Blue Yellow Yellow Yellow Yellow\nOrange Orange Gray Gray Orange Orange Blue Blue Purple Purple Blue Blue Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Orange Orange Gray Gray Brown Brown Brown Brown Yellow Yellow Purple Purple\nGreen Green Orange Orange Gray Gray Brown Brown Brown Brown Yellow Yellow Purple Purple\nRed Red Red Red Brown Brown Purple Purple Orange Orange Yellow Yellow Purple Purple\nRed Red Red Red Brown Brown Purple Purple Orange Orange Yellow Yellow Purple Purple\nBlue Blue Gray Gray Purple Purple Purple Purple Blue Blue Green Green Blue Blue\nBlue Blue Gray Gray Purple Purple Purple Purple Blue Blue Green Green Blue Blue\nYellow Yellow Blue Blue Blue Blue Brown Brown Orange Orange Green Green Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Brown Brown Orange Orange Green Green Yellow Yellow\nOrange Orange Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange\nOrange Orange Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange\n\nOutput:\nBlue Blue Gray Gray Purple Purple Purple Purple Gray Gray Gray Gray Blue Blue\nBlue Blue Gray Gray Purple Purple Purple Purple Gray Gray Gray Gray Blue Blue\nBlue Blue Yellow Yellow Yellow Yellow Purple Purple Blue Blue Red Red Blue Blue\nBlue Blue Yellow Yellow Yellow Yellow Purple Purple Blue Blue Red Red Blue Blue\nYellow Yellow Pink Pink Brown Brown Brown Brown Yellow Yellow Red Red Yellow Yellow\nYellow Yellow Pink Pink Brown Brown Brown Brown Yellow Yellow Red Red Yellow Yellow\nGreen Green Green Green Purple Purple Brown Brown Blue Blue Blue Blue Brown Brown\nGreen Green Green Green Purple Purple Brown Brown Blue Blue Blue Blue Brown Brown\nRed Red Blue Blue Pink Pink Purple Purple Purple Purple Blue Blue Brown Brown\nRed Red Blue Blue Pink Pink Purple Purple Purple Purple Blue Blue Brown Brown\nGreen Green Orange Orange Gray Gray Brown Brown Brown Brown Yellow Yellow Purple Purple\nGreen Green Orange Orange Gray Gray Brown Brown Brown Brown Yellow Yellow Purple Purple\nRed Red Red Red Brown Brown Purple Purple Orange Orange Yellow Yellow Purple Purple\nRed Red Red Red Brown Brown Purple Purple Orange Orange Yellow Yellow Purple Purple\nBlue Blue Gray Gray Purple Purple Purple Purple Blue Blue Green Green Blue Blue\nBlue Blue Gray Gray Purple Purple Purple Purple Blue Blue Green Green Blue Blue\nYellow Yellow Blue Blue Blue Blue Brown Brown Orange Orange Green Green Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Brown Brown Orange Orange Green Green Yellow Yellow\nOrange Orange Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange\nOrange Orange Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Gray Gray Green Green Orange Orange Orange Orange Brown Brown Blue Blue\nGreen Green Gray Gray Green Green Orange Orange Orange Orange Brown Brown Blue Blue\nRed Red Orange Orange Orange Orange Green Green Purple Purple Yellow Yellow Gray Gray\nRed Red Orange Orange Orange Orange Green Green Purple Purple Yellow Yellow Gray Gray\nYellow Yellow Pink Pink Yellow Yellow Brown Brown Pink Pink Brown Brown Green Green\nYellow Yellow Pink Pink Yellow Yellow Brown Brown Pink Pink Brown Brown Green Green\nYellow Yellow Purple Purple Purple Purple Blue Blue Yellow Yellow Purple Purple Gray Gray\nYellow Yellow Purple Purple Purple Purple Blue Blue Yellow Yellow Purple Purple Gray Gray\nBrown Brown Orange Orange Blue Blue Blue Blue Red Red Pink Pink Blue Blue\nBrown Brown Orange Orange Blue Blue Blue Blue Red Red Pink Pink Blue Blue\nGray Gray Blue Blue Pink Pink Purple Purple Gray Gray Gray Gray Pink Pink\nGray Gray Blue Blue Pink Pink Purple Purple Gray Gray Gray Gray Pink Pink\n\nOutput:\nPink Pink Yellow Yellow Gray Gray Brown Brown Pink Pink Pink Pink Gray Gray\nPink Pink Yellow Yellow Gray Gray Brown Brown Pink Pink Pink Pink Gray Gray\nPurple Purple Blue Blue Yellow Yellow Yellow Yellow Green Green Gray Gray Yellow Yellow\nPurple Purple Blue Blue Yellow Yellow Yellow Yellow Green Green Gray Gray Yellow Yellow\nBlue Blue Brown Brown Brown Brown Yellow Yellow Blue Blue Brown Brown Pink Pink\nBlue Blue Brown Brown Brown Brown Yellow Yellow Blue Blue Brown Brown Pink Pink\nBlue Blue Gray Gray Blue Blue Purple Purple Gray Gray Purple Purple Red Red\nBlue Blue Gray Gray Blue Blue Purple Purple Gray Gray Purple Purple Red Red\nGreen Green Blue Blue Blue Blue Red Red Brown Brown Blue Blue Pink Pink\nGreen Green Blue Blue Blue Blue Red Red Brown Brown Blue Blue Pink Pink\nRed Red Pink Pink Red Red Blue Blue Blue Blue Purple Purple Yellow Yellow\nRed Red Pink Pink Red Red Blue Blue Blue Blue Purple Purple Yellow Yellow\nGreen Green Gray Gray Green Green Orange Orange Orange Orange Brown Brown Blue Blue\nGreen Green Gray Gray Green Green Orange Orange Orange Orange Brown Brown Blue Blue\nRed Red Orange Orange Orange Orange Green Green Purple Purple Yellow Yellow Gray Gray\nRed Red Orange Orange Orange Orange Green Green Purple Purple Yellow Yellow Gray Gray\nYellow Yellow Pink Pink Yellow Yellow Brown Brown Pink Pink Brown Brown Green Green\nYellow Yellow Pink Pink Yellow Yellow Brown Brown Pink Pink Brown Brown Green Green\nYellow Yellow Purple Purple Purple Purple Blue Blue Yellow Yellow Purple Purple Gray Gray\nYellow Yellow Purple Purple Purple Purple Blue Blue Yellow Yellow Purple Purple Gray Gray\nBrown Brown Orange Orange Blue Blue Blue Blue Red Red Pink Pink Blue Blue\nBrown Brown Orange Orange Blue Blue Blue Blue Red Red Pink Pink Blue Blue\nGray Gray Blue Blue Pink Pink Purple Purple Gray Gray Gray Gray Pink Pink\nGray Gray Blue Blue Pink Pink Purple Purple Gray Gray Gray Gray Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Gray Gray Brown Brown Purple Purple Orange Orange Pink Pink Blue Blue Gray Gray Green Green\nBrown Brown Gray Gray Brown Brown Purple Purple Orange Orange Pink Pink Blue Blue Gray Gray Green Green\nPink Pink Pink Pink Brown Brown Pink Pink Orange Orange Red Red Orange Orange Green Green Green Green\nPink Pink Pink Pink Brown Brown Pink Pink Orange Orange Red Red Orange Orange Green Green Green Green\nGreen Green Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple Pink Pink\nGreen Green Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple Pink Pink\nGray Gray Brown Brown Gray Gray Pink Pink Yellow Yellow Gray Gray Red Red Yellow Yellow Red Red\nGray Gray Brown Brown Gray Gray Pink Pink Yellow Yellow Gray Gray Red Red Yellow Yellow Red Red\nPink Pink Gray Gray Pink Pink Orange Orange Brown Brown Pink Pink Brown Brown Orange Orange Orange Orange\nPink Pink Gray Gray Pink Pink Orange Orange Brown Brown Pink Pink Brown Brown Orange Orange Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Pink Pink Gray Gray Blue Blue Purple Purple Gray Gray Purple Purple Blue Blue Blue Blue\nGray Gray Pink Pink Gray Gray Blue Blue Purple Purple Gray Gray Purple Purple Blue Blue Blue Blue\nPink Pink Purple Purple Pink Pink Gray Gray Blue Blue Pink Pink Green Green Blue Blue Green Green\nPink Pink Purple Purple Pink Pink Gray Gray Blue Blue Pink Pink Green Green Blue Blue Green Green\nRed Red Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray\nRed Red Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray\nGray Gray Gray Gray Purple Purple Gray Gray Blue Blue Green Green Blue Blue Red Red Red Red\nGray Gray Gray Gray Purple Purple Gray Gray Blue Blue Green Green Blue Blue Red Red Red Red\nPurple Purple Pink Pink Purple Purple Brown Brown Blue Blue Gray Gray Yellow Yellow Pink Pink Red Red\nPurple Purple Pink Pink Purple Purple Brown Brown Blue Blue Gray Gray Yellow Yellow Pink Pink Red Red\nBrown Brown Gray Gray Brown Brown Purple Purple Orange Orange Pink Pink Blue Blue Gray Gray Green Green\nBrown Brown Gray Gray Brown Brown Purple Purple Orange Orange Pink Pink Blue Blue Gray Gray Green Green\nPink Pink Pink Pink Brown Brown Pink Pink Orange Orange Red Red Orange Orange Green Green Green Green\nPink Pink Pink Pink Brown Brown Pink Pink Orange Orange Red Red Orange Orange Green Green Green Green\nGreen Green Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple Pink Pink\nGreen Green Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple Pink Pink\nGray Gray Brown Brown Gray Gray Pink Pink Yellow Yellow Gray Gray Red Red Yellow Yellow Red Red\nGray Gray Brown Brown Gray Gray Pink Pink Yellow Yellow Gray Gray Red Red Yellow Yellow Red Red\nPink Pink Gray Gray Pink Pink Orange Orange Brown Brown Pink Pink Brown Brown Orange Orange Orange Orange\nPink Pink Gray Gray Pink Pink Orange Orange Brown Brown Pink Pink Brown Brown Orange Orange Orange Orange\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Red Red Red Red 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\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow\nYellow Yellow\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 Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black\nBlack Gray Gray Gray Green Green Green Green Green Green Green Green Green Black\nBlack Gray Gray Gray Green Green Green Green Green Green Green Green Green Black\nBlack Gray Gray Gray Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green\nGreen Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack 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\n\n\nDirectly provide the output grids corresponding to the given test input 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\nYellow 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 Green Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Green Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlue Gray Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Gray Black Black Blue Black\nGray Black Green Green Black Black Black Gray Black Black\nBlack Black Black Blue Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Purple Black\nBrown Black Brown Black Black Black Purple Black Black Black\nBlack Red Black Black Black Black Black Black Gray Black\nPurple Black Black Brown Black Black Black Black Black Purple\nGray Black Black Black Black Black Purple Black Brown Purple\nBlack Red Black Black Purple Purple Black Black Purple Black\nBlack Black Red Black Red Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Red\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Red Brown Black Black Black Black Black Purple\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Purple Black Black Purple\nBlack Black Black Red Green Black Black Black Black Black\nPurple Black Black Black Green Black Black Purple Green Black\nBlack Black Black Red Black Black Black Black Black Purple\nBlack Black Purple Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black\nRed Black Black Green Black Black Black Brown Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Yellow Black Black Black Orange Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Yellow Black Black Black Black Black\nOrange Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Orange\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Orange Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange 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:\nBlue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Blue Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue Blue Blue Gray\nOrange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink Pink Pink Black\nBlue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray Blue Gray Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nGray Blue Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue Blue Blue Black\nOrange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange\nBlue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Blue Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue Blue Blue Gray\nOrange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange\n\nOutput:\nOrange\nBlue\nBlue\nGray\n\n\nExample 2\nInput:\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange\nGreen Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green\nGreen Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange\nGreen Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green\nGreen Orange Orange Green Green Orange Orange Green Green Orange Black Black Green Orange Orange Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange\nGreen Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green\nGreen Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange\nGreen Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green\nGreen Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nOrange Green\nOrange Orange\n\n\nExample 3\nInput:\nGray Brown Yellow Brown Gray Gray Brown Yellow Brown Gray\nGray Black Black Gray Gray Gray Gray Red Gray Gray\nBlue Black Black Gray Blue Blue Gray Red Gray Blue\nBlue Black Black Orange Blue Blue Orange Brown Orange Blue\nOrange Black Black Orange Orange Orange Orange Purple Orange Orange\nGray Brown Yellow Brown Gray Gray Brown Yellow Brown Gray\nGray Gray Red Gray Gray Gray Gray Red Gray Gray\nBlue Gray Red Gray Blue Blue Gray Red Gray Blue\nBlue Orange Brown Orange Blue Blue Orange Brown Orange Blue\nOrange Orange Purple Orange Orange Orange Orange Purple Orange Orange\n\nOutput:\nGray Red\nGray Red\nOrange Brown\nOrange Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlue Pink Blue Blue Pink Blue Blue Pink Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Blue Black Pink Blue Pink Pink Blue Pink\nBlue Pink Black Blue Pink Blue Blue Pink Blue\nBlue Blue Black Blue Blue Blue Blue Blue Blue\nPink Blue Pink Pink Blue Pink Pink Blue Pink\nBlue Pink Blue Blue Pink Blue Blue Pink Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Blue Pink Pink Blue Pink Pink 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```\nPink\nBlue\nBlue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Yellow Gray Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Brown\nBlack Black Black Black Black Brown Brown\nYellow Black Gray Black Black Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Yellow Gray Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black\nPurple Purple Black Black Pink Black Black Black\nPurple Black Black Black Pink Pink Black Black\nBlue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black\nPurple Purple Black Black Pink Black Black Black\nPurple Black Black Blue Pink Blue Black Black\nBlue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Green Black Black Black Black\nPurple Yellow Yellow Black Purple Green\nBlack Purple Black Black Black Brown\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Green Black Purple Black Green\nPurple Yellow Yellow Black Purple Green\nBlack Purple Black Black Black Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Blue\nBlack Orange Black Blue Blue\nBlack Black Black Black Black\nBlack Black Black Orange Orange\nBlack Black Gray Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Black Black Blue\nBlack Orange Black Blue Blue\nOrange Black Orange Black Black\nBlack Black Black Orange Orange\nGray Black Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue 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 Blue 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 Blue 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 Blue Black Black Black Black\nBlack Black Black Black 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 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 Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Blue Blue 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 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 Red Red Red Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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 Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack 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 Red Red Red Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue 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\nBlue 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\nBlue 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\nBlue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Blue Blue 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 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 Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Red Red Red Red Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Red Red Red Red Black Black Red Red Red Red\nRed Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red\nRed Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nRed Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nRed Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nRed Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nRed Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nRed Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nRed Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Yellow Yellow Purple Purple Blue Blue Blue Blue Orange Orange Purple Purple Red Red Purple Purple\nBlue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Blue Blue Orange Orange Purple Purple Red Red Purple Purple\nPurple Purple Orange Orange Pink Pink Red Red Orange Orange Brown Brown Blue Blue Brown Brown Gray Gray Pink Pink\nPurple Purple Orange Orange Pink Pink Red Red Orange Orange Brown Brown Blue Blue Brown Brown Gray Gray Pink Pink\nRed Red Gray Gray Pink Pink Orange Orange Red Red Brown Brown Red Red Brown Brown Red Red Purple Purple\nRed Red Gray Gray Pink Pink Orange Orange Red Red Brown Brown Red Red Brown Brown Red Red Purple Purple\nGray Gray Yellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue Yellow Yellow\nGray Gray Yellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue Yellow Yellow\nPink Pink Pink Pink Purple Purple Gray Gray Brown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Purple Purple Gray Gray Brown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nBrown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Green Green Orange Orange Purple Purple Gray Gray\nBrown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Green Green Orange Orange Purple Purple Gray Gray\nGreen Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green Purple Purple Yellow Yellow Gray Gray\nGreen Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green Purple Purple Yellow Yellow Gray Gray\nBlue Blue Pink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange Orange Orange\nBlue Blue Pink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange Orange Orange\nOrange Orange Brown Brown Green Green Green Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange\nOrange Orange Brown Brown Green Green Green Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange\nYellow Yellow Purple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray Pink Pink\nYellow Yellow Purple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray Pink Pink\n\nOutput:\nBlue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Blue Blue Orange Orange Purple Purple Red Red Purple Purple\nBlue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Blue Blue Orange Orange Purple Purple Red Red Purple Purple\nPurple Purple Orange Orange Pink Pink Red Red Orange Orange Brown Brown Blue Blue Brown Brown Gray Gray Pink Pink\nPurple Purple Orange Orange Pink Pink Red Red Orange Orange Brown Brown Blue Blue Brown Brown Gray Gray Pink Pink\nRed Red Gray Gray Pink Pink Orange Orange Red Red Brown Brown Red Red Brown Brown Red Red Purple Purple\nRed Red Gray Gray Pink Pink Orange Orange Red Red Brown Brown Red Red Brown Brown Red Red Purple Purple\nGray Gray Yellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue Yellow Yellow\nGray Gray Yellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue Yellow Yellow\nPink Pink Pink Pink Purple Purple Gray Gray Brown Brown Red Red Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Purple Purple Gray Gray Brown Brown Red Red Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nBrown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Green Green Orange Orange Purple Purple Gray Gray\nBrown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Green Green Orange Orange Purple Purple Gray Gray\nGreen Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green Purple Purple Yellow Yellow Gray Gray\nGreen Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green Purple Purple Yellow Yellow Gray Gray\nBlue Blue Pink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange Orange Orange\nBlue Blue Pink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange Orange Orange\nOrange Orange Brown Brown Green Green Green Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange\nOrange Orange Brown Brown Green Green Green Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange\nYellow Yellow Purple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray Pink Pink\nYellow Yellow Purple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray Pink Pink\n\n\nExample 2\nInput:\nGray Gray Blue Blue Blue Blue Blue Blue Purple Purple Brown Brown Green Green Green Green Red Red Pink Pink\nGray Gray Blue Blue Blue Blue Blue Blue Purple Purple Brown Brown Green Green Green Green Red Red Pink Pink\nRed Red Brown Brown Green Green Blue Blue Pink Pink Yellow Yellow Pink Pink Red Red Purple Purple Purple Purple\nRed Red Brown Brown Green Green Blue Blue Pink Pink Yellow Yellow Pink Pink Red Red Purple Purple Purple Purple\nRed Red Yellow Yellow Gray Gray Orange Orange Gray Gray Purple Purple Purple Purple Orange Orange Green Green Red Red\nRed Red Yellow Yellow Gray Gray Orange Orange Gray Gray Purple Purple Purple Purple Orange Orange Green Green Red Red\nGray Gray Orange Orange Pink Pink Orange Orange Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nGray Gray Orange Orange Pink Pink Orange Orange Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nYellow Yellow Purple Purple Pink Pink Orange Orange Red Red Pink Pink Orange Orange Yellow Yellow Brown Brown Gray Gray\nYellow Yellow Purple Purple Pink Pink Orange Orange Red Red Pink Pink Orange Orange Yellow Yellow Brown Brown Gray Gray\nGreen Green Red Red Pink Pink Blue Blue Purple Purple Red Red Purple Purple Gray Gray Pink Pink Gray Gray\nGreen Green Red Red Pink Pink Blue Blue Purple Purple Red Red Purple Purple Gray Gray Pink Pink Gray Gray\nYellow Yellow Yellow Yellow Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Orange Orange Blue Blue\nYellow Yellow Yellow Yellow Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Orange Orange Blue Blue\nPurple Purple Brown Brown Pink Pink Orange Orange Blue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green\nPurple Purple Brown Brown Pink Pink Orange Orange Blue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple\nGreen Green Pink Pink Orange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray\nGreen Green Pink Pink Orange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray\n\nOutput:\nGray Gray Blue Blue Blue Blue Blue Blue Purple Purple Brown Brown Green Green Green Green Red Red Pink Pink\nGray Gray Blue Blue Blue Blue Blue Blue Purple Purple Brown Brown Green Green Green Green Red Red Pink Pink\nRed Red Brown Brown Green Green Blue Blue Pink Pink Yellow Yellow Pink Pink Red Red Purple Purple Purple Purple\nRed Red Brown Brown Green Green Blue Blue Pink Pink Yellow Yellow Pink Pink Red Red Purple Purple Purple Purple\nRed Red Yellow Yellow Gray Gray Orange Orange Gray Gray Purple Purple Purple Purple Orange Orange Green Green Red Red\nRed Red Yellow Yellow Gray Gray Orange Orange Gray Gray Purple Purple Purple Purple Orange Orange Green Green Red Red\nGray Gray Orange Orange Pink Pink Orange Orange Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nGray Gray Orange Orange Pink Pink Orange Orange Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nYellow Yellow Purple Purple Pink Pink Orange Orange Red Red Red Red Orange Orange Yellow Yellow Brown Brown Gray Gray\nYellow Yellow Purple Purple Pink Pink Orange Orange Red Red Red Red Orange Orange Yellow Yellow Brown Brown Gray Gray\nGreen Green Red Red Pink Pink Blue Blue Purple Purple Red Red Purple Purple Gray Gray Pink Pink Gray Gray\nGreen Green Red Red Pink Pink Blue Blue Purple Purple Red Red Purple Purple Gray Gray Pink Pink Gray Gray\nYellow Yellow Yellow Yellow Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Orange Orange Blue Blue\nYellow Yellow Yellow Yellow Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Orange Orange Blue Blue\nPurple Purple Brown Brown Pink Pink Orange Orange Blue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green\nPurple Purple Brown Brown Pink Pink Orange Orange Blue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple\nGreen Green Pink Pink Orange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray\nGreen Green Pink Pink Orange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray\n\n\nExample 3\nInput:\nPurple Purple Pink Pink Yellow Yellow Brown Brown Yellow Yellow Green Green Blue Blue Green Green Yellow Yellow Yellow Yellow\nPurple Purple Pink Pink Yellow Yellow Brown Brown Yellow Yellow Green Green Blue Blue Green Green Yellow Yellow Yellow Yellow\nGreen Green Red Red Green Green Blue Blue Green Green Purple Purple Purple Purple Red Red Blue Blue Pink Pink\nGreen Green Red Red Green Green Blue Blue Green Green Purple Purple Purple Purple Red Red Blue Blue Pink Pink\nGreen Green Blue Blue Gray Gray Pink Pink Brown Brown Yellow Yellow Pink Pink Pink Pink Purple Purple Pink Pink\nGreen Green Blue Blue Gray Gray Pink Pink Brown Brown Yellow Yellow Pink Pink Pink Pink Purple Purple Pink Pink\nYellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue Orange Orange Green Green Gray Gray Blue Blue\nYellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue Orange Orange Green Green Gray Gray Blue Blue\nGreen Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow Yellow Yellow Blue Blue Orange Orange\nGreen Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow Yellow Yellow Blue Blue Orange Orange\nGray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange Purple Purple Red Red Brown Brown\nGray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange Purple Purple Red Red Brown Brown\nPurple Purple Orange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink Blue Blue\nPurple Purple Orange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink Blue Blue\nPurple Purple Blue Blue Blue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink\nPurple Purple Blue Blue Blue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink\nPurple Purple Pink Pink Orange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green\nPurple Purple Pink Pink Orange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green\nGreen Green Orange Orange Gray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange\nGreen Green Orange Orange Gray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange\n\nOutput:\nPurple Purple Pink Pink Yellow Yellow Brown Brown Yellow Yellow Green Green Blue Blue Green Green Yellow Yellow Yellow Yellow\nPurple Purple Pink Pink Yellow Yellow Brown Brown Yellow Yellow Green Green Blue Blue Green Green Yellow Yellow Yellow Yellow\nGreen Green Red Red Green Green Blue Blue Green Green Purple Purple Purple Purple Red Red Blue Blue Pink Pink\nGreen Green Red Red Green Green Blue Blue Green Green Purple Purple Purple Purple Red Red Blue Blue Pink Pink\nGreen Green Blue Blue Gray Gray Pink Pink Brown Brown Yellow Yellow Pink Pink Pink Pink Purple Purple Pink Pink\nGreen Green Blue Blue Gray Gray Pink Pink Brown Brown Yellow Yellow Pink Pink Pink Pink Purple Purple Pink Pink\nYellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue Orange Orange Green Green Gray Gray Blue Blue\nYellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue Orange Orange Green Green Gray Gray Blue Blue\nGreen Green Blue Blue Green Green Yellow Yellow Green Green Red Red Yellow Yellow Yellow Yellow Blue Blue Orange Orange\nGreen Green Blue Blue Green Green Yellow Yellow Green Green Red Red Yellow Yellow Yellow Yellow Blue Blue Orange Orange\nGray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange Purple Purple Red Red Brown Brown\nGray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange Purple Purple Red Red Brown Brown\nPurple Purple Orange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink Blue Blue\nPurple Purple Orange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink Blue Blue\nPurple Purple Blue Blue Blue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink\nPurple Purple Blue Blue Blue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink\nPurple Purple Pink Pink Orange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green\nPurple Purple Pink Pink Orange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green\nGreen Green Orange Orange Gray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange\nGreen Green Orange Orange Gray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Yellow Yellow Blue Blue Yellow Yellow Orange Orange Brown Brown Yellow Yellow Gray Gray Gray Gray Pink Pink\nBrown Brown Yellow Yellow Blue Blue Yellow Yellow Orange Orange Brown Brown Yellow Yellow Gray Gray Gray Gray Pink Pink\nPink Pink Red Red Yellow Yellow Gray Gray Brown Brown Gray Gray Orange Orange Green Green Orange Orange Red Red\nPink Pink Red Red Yellow Yellow Gray Gray Brown Brown Gray Gray Orange Orange Green Green Orange Orange Red Red\nRed Red Yellow Yellow Orange Orange Blue Blue Gray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green\nRed Red Yellow Yellow Orange Orange Blue Blue Gray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green\nYellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Gray Gray Gray Gray Red Red Purple Purple Blue Blue\nYellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Gray Gray Gray Gray Red Red Purple Purple Blue Blue\nPurple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple Purple Purple Brown Brown Orange Orange Brown Brown\nPurple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple Purple Purple Brown Brown Orange Orange Brown Brown\nGreen Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green Brown Brown Orange Orange Purple Purple\nGreen Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green Brown Brown Orange Orange Purple Purple\nRed Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange Yellow Yellow Purple Purple\nRed Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange Yellow Yellow Purple Purple\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray Blue Blue\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray Blue Blue\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nGray Gray Gray Gray Pink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue\nGray Gray Gray Gray Pink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown 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.",
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"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Yellow Yellow Blue Blue Yellow Yellow Orange Orange Brown Brown Yellow Yellow Gray Gray Gray Gray Pink Pink\nBrown Brown Yellow Yellow Blue Blue Yellow Yellow Orange Orange Brown Brown Yellow Yellow Gray Gray Gray Gray Pink Pink\nPink Pink Red Red Yellow Yellow Gray Gray Brown Brown Gray Gray Orange Orange Green Green Orange Orange Red Red\nPink Pink Red Red Yellow Yellow Gray Gray Brown Brown Gray Gray Orange Orange Green Green Orange Orange Red Red\nRed Red Yellow Yellow Orange Orange Blue Blue Gray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green\nRed Red Yellow Yellow Orange Orange Blue Blue Gray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green\nYellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Gray Gray Gray Gray Red Red Purple Purple Blue Blue\nYellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Gray Gray Gray Gray Red Red Purple Purple Blue Blue\nPurple Purple Yellow Yellow Blue Blue Green Green Red Red Red Red Purple Purple Brown Brown Orange Orange Brown Brown\nPurple Purple Yellow Yellow Blue Blue Green Green Red Red Red Red Purple Purple Brown Brown Orange Orange Brown Brown\nGreen Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green Brown Brown Orange Orange Purple Purple\nGreen Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green Brown Brown Orange Orange Purple Purple\nRed Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange Yellow Yellow Purple Purple\nRed Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange Yellow Yellow Purple Purple\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray Blue Blue\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray Blue Blue\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nGray Gray Gray Gray Pink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue\nGray Gray Gray Gray Pink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue\n```",
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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 Red Black Black\nBlack Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Red Black Red Black Black\nRed Black Black Black Black Black Black Red Black Black Pink Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Red Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Pink Pink Pink Pink Pink Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 Red Black Black Black Red Black Black Red Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Red Black Black\nBlack Black Black Black Red Black Black Pink Black Black Red Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Red Black Black Black Black Red Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Red Black Black Black Black Pink Black Black Black Black Black Black Pink Red Black Red Black Black\nRed Black Black Black Black Black Black Pink Black Black Pink Black Black Black Pink Black Black Black Black Black\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Red Black Black Black Pink Pink Pink Pink Pink Pink Black Pink Black Black Black Black Black\nBlack Red Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Pink Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black Red Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Red Black Black Black Red Black Pink Red Black Black Black Black Black Pink Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black 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 Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Pink Pink Pink Pink Pink Black Black Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red 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\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 Pink Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Pink Red Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Pink Black Red Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Pink Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Pink Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Pink Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Pink Black Pink Pink Pink Pink Pink Black Black Red Black Black Black Black\nBlack Black Black Black Red Red Pink Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Red Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Orange Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Brown Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Black Black Black Black Brown Black Brown Orange Orange Brown Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Brown Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Brown Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Brown Black Black Brown Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Brown Black Brown Black Black Brown Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Brown Black Brown Black Black Brown Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Orange Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Black Brown Black Orange Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Brown Black Black Brown Black Orange Black Black Orange Black Black\nOrange Black Black Black Black Black Black Brown Black Brown Black Black Brown Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Brown Black Black Brown Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Brown Black Brown Black Black Brown Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown 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 Brown Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Brown Black Black Black\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 Brown Black Black Black Black Black Black Black Brown\nBlack Brown Black Brown 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.",
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"content": "The output grid for the test input grid is:\n\n```\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Brown Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Brown Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Yellow Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Yellow Black Black Black Black Black Brown\nBlack Brown Black Brown Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Black\nBlack Black Black Red Red Red Blue Blue Black Black\nBlack Black Black Red Red Red Blue Blue Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Red Red Red 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 Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Red Red Red Black Black\nBlack Black Black Black Blue Red Red Red Black Black\nBlack Black Black Black Blue Red Red Red Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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\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\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Green Green Green Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Gray Gray Gray Black Black Black Gray Gray Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Gray Gray Gray Black Black Black Gray Gray Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Black Black Green Green Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Blue Blue Blue Black Black Black Green Green Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Blue Blue Blue Black Black Black Green Green Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Gray Gray Black Black Black\nGray Gray Gray Black Black Gray Gray Black Black Gray\nGray Gray Gray Black Black Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Red\nBlack Black Black Blue Blue Blue Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Green Green Black Black Black\nBlue Blue Blue Black Black Green Green Black Black Green\nBlue Blue Blue Black Black Green Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\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 Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray 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 Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Purple Brown Black\nBlack Black Black Black Black Black Black Black Brown Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Brown Brown Black Black Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Purple Purple Brown Black\nBlack Black Black Black Black Black Black Black Brown Purple Purple Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Blue Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Black Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Purple Gray Black Black Black\nBlack Black Black Black Black Black Black Pink Blue Blue Black Black Black Black\nBlack Black Black Blue Black Blue Blue Brown Yellow Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Pink Gray Black Black\nBlack Black Black Black Gray Pink Brown Black Red Black Blue Purple Purple Black\nBlack Black Black Black Black Black Black Yellow Brown Blue Blue Purple Blue Black\nBlack Black Black Black Black Black Blue Blue Pink Green Black Black Black Black\nBlack Black Black Black Black Gray Black Purple Gray Black Black Black Black Black\nBlack Black Black Black Black Black Blue 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 Purple Blue Black Black Black Black\nBlack Black Black Black Black Black Black Gray Purple Purple Gray Black Black Black\nBlack Black Black Black Gray Black Green Pink Blue Blue Black Black Black Black\nBlack Black Black Blue Purple Blue Blue Brown Yellow Blue Green Black Black Black\nBlack Black Black Purple Purple Blue Yellow Red Red Brown Pink Gray Black Black\nBlack Black Black Black Gray Pink Brown Red Red Yellow Blue Purple Purple Black\nBlack Black Black Black Black Green Blue Yellow Brown Blue Blue Purple Blue Black\nBlack Black Black Black Black Black Blue Blue Pink Green Black Gray Black Black\nBlack Black Black Black Black Gray Purple Purple Gray Black Black Black Black Black\nBlack Black Black Black Black Black Blue 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:\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack 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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack 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 Red Red Black Black\nBlack 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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Yellow Yellow Green Green Black Black Green Green Black Black Black Black\nBlack Black Green Green Yellow Yellow Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Yellow Yellow Green Green Black Black\nBlack Black Black Black Green Green Black Black Green Green Yellow Yellow Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack 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 Green Green\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Green Green Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Green Green Yellow Yellow\nBlack Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Blue Blue\n\n\nExample 2\nInput:\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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\n\nOutput:\nBlack Black Blue Blue Black Black Blue Blue Yellow Yellow Red Red Yellow Yellow\nBlack Black Blue Blue Black Black Blue Blue Yellow Yellow Red Red Yellow Yellow\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Red Red Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Red Red Yellow Yellow Blue Blue\nYellow Yellow Red Red Yellow Yellow Red Red Yellow Yellow Blue Blue Black Black\nYellow Yellow Red Red Yellow Yellow Red Red Yellow Yellow Blue Blue Black Black\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Black Black Black Black\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Yellow Yellow Green Green Black Black\nBlack Black Black Black Black Black Green Green Yellow Yellow Green Green 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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Blue Blue Yellow Yellow Red Red Yellow Yellow Green Green Black Black\nBlack Black Blue Blue Yellow Yellow Red Red Yellow Yellow Green Green Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Green Green Yellow Yellow Green Green\nBlack Black Black Black Blue Blue Yellow Yellow Green Green Yellow Yellow Green Green\nBlack Black Black Black Black Black Blue Blue Black Black Green Green Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nGreen Green Black Black Black Black Green Green Yellow Yellow Green Green Black Black\nGreen Green Black Black Black Black Green Green Yellow Yellow Green Green Black Black\nYellow Yellow Green Green Black Black Black Black Green Green Yellow Yellow Green Green\nYellow Yellow Green Green Black Black Black Black Green Green Yellow Yellow Green Green\nGreen Green Black Black Black Black Black Black Black Black Green Green Black Black\nGreen Green Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Red 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 Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Red Red Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Red Red Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Blue Blue Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Green Green Yellow Yellow Green Green Yellow Yellow Blue Blue Black Black\nBlack Black Black Black Black Black Green Green Yellow Yellow Green Green Yellow Yellow Blue 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 Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Purple Purple Purple Black\nBlack Black Black Black Pink Pink Pink Pink Black Purple Purple Purple Black\nBlack Black Black Black Pink Pink Pink Pink Black Purple Purple Purple Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Purple Purple Purple Black\nBlack Black Black Black Pink Pink Pink Pink Black Purple Purple Purple Black\nBlack Black Black Black Pink Pink Pink Pink Black Purple Purple Purple Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Green Green Green Black Black Gray Gray Black Black Black\nBlack Black Green Green Green Black Black Gray Gray Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange 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 Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Green Black Black\nBlack Black Black Black Black Black Black Gray Gray Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange 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 Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\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 Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Brown Brown Brown Black Black Black Black Black Gray Gray Gray Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Gray Gray Black Black\nBlack Black Brown Brown Brown 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Brown Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Brown Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Brown 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Red Black Black Black\nBlack Black Black Red Red Red Black Black\nBlack Black Red Red Red Red Red Black\nBlack Black Black Red Red Red Black Black\nBlack Black Black Black Red 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 Red Black Black Black Red Black\nBlack Black Black Red Black Red Black Black\nBlack Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow 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 Yellow Black 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 Yellow Black Black Black Black 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Blue Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Blue Orange Black Black\nBlack Black Black Black Black Black Red Red Blue Red Red Black\nBlue Black Black Blue Black Blue Red Red Red Red Red Black\nBlue Blue Black Black Black Black Red Blue Red Red Red Blue\nBlack Black Black Black Black Black Red Blue Red Red Red Black\nBlack Yellow Blue Yellow Black Black Black Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Black\nBlack Yellow Yellow Yellow Black Blue Black Blue Blue Blue Black Black\nBlack Yellow Yellow Blue Black Black Black Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Blue 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\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Pink Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Pink Black Pink Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Pink Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Pink Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black Pink Black Black Black Brown Brown Brown\nBlack Black Pink Black Black Black Black Pink Black Black Black Brown Brown Brown\nBlack Black Pink Pink Pink Black Black Black Black Pink Black Brown Brown Brown\nBlack Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown\nBlack Black Pink Pink Pink Black Black Black Pink Pink Black Brown Brown Brown\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Brown Brown Brown\nBlack Black Pink Black Black Black Black Pink Black Black Black Brown Brown Brown\nBlack Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown\nBlack Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown\nBlack Black Pink Pink Pink Black Black Black Pink Pink Black Brown Brown Brown\nBlack 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Green Green Green Green Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Red 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black 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 Red Black Black Black Black Black\nBlack Black Red 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 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\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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Purple Purple Purple\nBlack Black Purple Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Purple\nBlack Purple Black Purple Green Green Green Green Black Black Black\nPurple Black Black Green Green Green Green Green Purple Black Purple\nBlack Black Black Green Green Green Purple Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Purple Blue Blue Black Black Black Black Black Purple Black\nBlue Blue Blue Purple Black Black Black Black Black Purple Purple\nPurple Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Purple 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 Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Purple Purple Purple\nBlack Black Purple Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Pink Pink Pink Blue Blue Blue\nBlack Black Black Pink Pink Pink Blue Blue Blue\nBlack Black Black Pink Pink Pink Blue Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Blue Blue Blue\nBlack Black Black Pink Pink Pink Blue Blue Blue\nBlack Black Black Pink Pink Pink Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Gray Gray Gray Red Red Red\nBlack Black Black Gray Gray Gray Red Red Red\nBlack Black Black Gray Gray Gray Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black\n\nOutput:\nRed Red Red Gray Gray Gray Black Black Black\nRed Red Red Gray Gray Gray Black Black Black\nRed Red Red Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Purple Purple Purple Red Red Red\nBlack Black Black Purple Purple Purple Red Red Red\nBlack Black Black Purple Purple Purple Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\n\nOutput:\nRed Red Red Purple Purple Purple Black Black Black\nRed Red Red Purple Purple Purple Black Black Black\nRed Red Red Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Orange Orange Orange Red Red Red\nBlack Black Black Orange Orange Orange Red Red Red\nBlack Black Black Orange Orange Orange Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Orange Orange Orange Black Black Black\nRed Red Red Orange Orange Orange Black Black Black\nRed Red Red Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Black Black Green Green Black Black Green Green\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Black Black Green Green Black Black Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow 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 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\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 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Green Green Black Black Green Green Black Black Green Green\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Green Green Black Black Green Green Black Black Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Green Green Green Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Green Green Green Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nGreen Green Yellow Yellow Green Green Black Black Green Green Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nGreen Green Yellow Yellow Green Green Black Black Green Green Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Gray Gray Gray Gray Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Gray Gray Gray Gray Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\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 Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black 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 Purple Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange Black Orange Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Black Orange Black Orange Black Black\nBlack Black Black Black Black Orange 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 Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\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 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow 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\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 Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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 Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\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 Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Black Black Red Red Black Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Red Red Black Black Red Red Black Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Red Red\nRed Red Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red\nRed Red Red Red Black Black Red Red Black Black Black Black Red Red Black Black Red Red Red Red\nRed Red Red Red Black Black Red Red Black Black Black Black Red Red Black Black 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 Black Black Red Red Red Red Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Red Red Red Red Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Yellow Black\nBlack Black Black Black Black Yellow 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\nYellow Yellow Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Green Black\nBlack Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Black Green Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Green Green\nBlack Black Black Green Green Green Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Yellow Yellow Yellow Black\nYellow Yellow Black Black Black Black Black Black Yellow Black\nYellow Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Black Green Black Black Green Green Green Black\nGreen Green Black Black Black Black Black Black Green Black\nGreen Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow 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 Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Yellow Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow 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 Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Yellow Black Black Black Black Green Green Black Black\nYellow Yellow Black Black Green Green Green Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen 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:\nPink Pink Black Black Pink\nPink Pink Pink Black Pink\nPink Black Black Black Pink\nPink Black Pink Pink Pink\n\nOutput:\nPink Pink Pink Black Pink\nPink Black Black Black Pink\nPink Black Pink Pink Pink\nPink Black Black Pink Pink\n\n\nExample 2\nInput:\nOrange Black Orange Orange\nBlack Orange Black Orange\nOrange Orange Black Orange\nBlack Orange Orange Black\nOrange Black Orange Orange\n\nOutput:\nOrange Orange Black Orange\nBlack Orange Orange Black\nOrange Black Orange Orange\nOrange Black Orange Black\nOrange Orange Black Orange\n\n\nExample 3\nInput:\nGray Black Black Gray Gray\nBlack Black Black Gray Black\nGray Gray Gray Gray Black\nGray Gray Black Black Black\nGray Black Black Black Gray\n\nOutput:\nGray Black Black Black Gray\nBlack Black Black Gray Gray\nBlack Gray Gray Gray Gray\nBlack Gray Black Black Black\nGray Gray Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink\nPink Pink Black\nPink 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\nBlack Pink Pink\nPink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue 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 Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Pink Pink Pink\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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Purple Purple Purple\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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown\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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Black Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Blue Blue Blue Black Black Black\nBlack Black Purple Purple Purple Blue Blue Black Black Black\nBlack Purple Purple Black Purple Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Gray Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Black\nBlack Black Brown Black Black Yellow Yellow Gray Gray Black\nBlack Black Brown Black Black Yellow Yellow Gray Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown 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 Gray Black Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Gray Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Gray Black Black Gray Gray Gray Gray Black\nBlack Black Gray Black Black Gray Gray Gray Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Pink Pink Black Black\nBlack Gray Black Gray Black Black Purple Black Pink Pink Black Black\nBlack Black Black Black Purple Purple Purple Purple Pink Pink Black Black\nBlack Black Green Green Green Green Purple Black Black Orange Black Black\nBlack Black Green Green Green Green Orange Orange Orange Orange 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Gray Black Gray Black Black Gray Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Blue Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Blue Gray Black Gray Gray Black Black Black Black\nBlack Black Black Blue Blue Gray Gray Gray Gray Black Black Black Black\nBlack Black Yellow Black Black Black Black Pink Black Black Black Black Black\nBlack Yellow Yellow Black Green Black Black Pink Pink Pink Black Black Black\nBlack Yellow Yellow Green Green Green Black Pink Black Black Black Black Black\nBlack Black Yellow Black Green Black Black Pink 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 Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Black Black Black Black Black\nBlack Gray Gray Black Gray Black Black Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Black Gray Black Black Black Black Black\nBlack Black Gray Black Gray Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Purple Purple Black Black Black\nBlack Black Red Red Red Black Purple Purple Black Black Black\nBlack Gray Gray Red Black Black Purple Purple Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Brown Brown Brown Black Black\nBlack Black Black Gray Gray Blue Black Brown Blue Black Black\nBlack Gray Gray Gray Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Gray Black Black Gray Gray Black Black Black\nBlack Black Gray Gray Gray Black Gray Gray Black Black Black\nBlack Gray Gray Gray Black Black Gray Gray Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Black Gray Gray Black Black\nBlack Gray Gray Gray Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Brown Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Brown Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Brown Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue\n\n\nExample 2\nInput:\nGray Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Brown Brown Red Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Brown Brown Red Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Brown Brown Red Black Black\nBlack Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Brown Brown Purple Black Black\nBlack Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Brown Brown Purple Black Black\nBlack Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Brown Brown Purple Black Black\nBlack Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Brown Brown Purple Black Black\nBlack Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Brown Brown Brown Pink Pink Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Pink Pink Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Pink Pink Brown Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Brown Brown Brown Pink Pink Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Pink Pink Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Pink Pink Brown Purple Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Blue Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Blue Blue Blue Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Red Black Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Blue Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black\nBlack Black Red Black\nBlack Black Red Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Blue Black Black\nBlack Blue Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Blue Black Black Black\nBlack Blue 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```\nBlack Black Black Black Black\nBlack Black Black Green Black\nBlack Black Black Green Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\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 Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nGray Red Pink Black Black Red\nBlue Orange Orange Black Pink Blue\nBlack Black Black Red Gray Brown\nGreen Red Gray Black Green Yellow\nBlack Black Orange Green Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlue Black Black Black Pink\nGreen Red Black Purple Black\nBlack Black Green Blue Black\nBlue Black Yellow Black Purple\nBlack Black Blue Pink Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Blue Black Black\nBlack Black Blue Black Black\nBlack Black Blue Black Black\nBlack 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 Pink 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 Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\n\nOutput:\nBlack Black Blue Black Black\nBlack Black Blue Black Black\nBlack Black Blue Black Black\nBlack Black Blue Black Black\nBlack Black Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Blue\nBlack Black Black Black Black\nBlack Black Black Black Yellow\nBlack Black Black Black Black\nGreen Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Black Black\nBlack Black Blue Black Black\nBlack Black Blue Black Black\nBlack Black Blue Black Black\nBlack 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:\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Black Pink Pink Pink Pink Pink Black Green Green Green Green Green\nOrange Orange Orange Orange Orange Black Pink Pink Pink Pink Pink Black Green Green Green Green Green\nOrange Orange Orange Orange Orange Black Pink Pink Pink Pink Pink Black Green Green Green Green Green\nOrange Orange Orange Orange Orange Black Pink Pink Pink Pink Pink Black Green Green Green Green Green\nOrange Orange Orange Orange Orange Black Pink Pink Pink Pink Pink Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Black Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Black Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Black Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Black Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Pink Pink Pink Pink Pink Black Green Green Green Green Green\nBlue Blue Blue Blue Blue Black Pink Pink Pink Pink Pink Black Green Green Green Green Green\nBlue Blue Blue Blue Blue Black Pink Pink Pink Pink Pink Black Green Green Green Green Green\nBlue Blue Blue Blue Blue Black Pink Pink Pink Pink Pink Black Green Green Green Green Green\nBlue Blue Blue Blue Blue Black Pink Pink Pink Pink Pink Black Green Green Green Green Green\n\nOutput:\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Black Orange Orange Orange Orange Orange Black Green Green Green Green Green\nGray Gray Gray Gray Gray Black Orange Orange Orange Orange Orange Black Green Green Green Green Green\nGray Gray Gray Gray Gray Black Orange Orange Orange Orange Orange Black Green Green Green Green Green\nGray Gray Gray Gray Gray Black Orange Orange Orange Orange Orange Black Green Green Green Green Green\nGray Gray Gray Gray Gray Black Orange Orange Orange Orange Orange Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Green Green Green Green Green Black Red Red Red Red Red\nBlue Blue Blue Blue Blue Black Green Green Green Green Green Black Red Red Red Red Red\nBlue Blue Blue Blue Blue Black Green Green Green Green Green Black Red Red Red Red Red\nBlue Blue Blue Blue Blue Black Green Green Green Green Green Black Red Red Red Red Red\nBlue Blue Blue Blue Blue Black Green Green Green Green Green Black Red Red Red Red Red\n\nOutput:\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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:\nPink Pink Pink Pink Pink Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Green Green Green Green Green Black Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Black Green Green Green Green Green Black Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Black Green Green Green Green Green Black Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Black Green Green Green Green Green Black Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Black Green Green Green Green Green Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Gray Gray Gray Gray Gray Black Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Gray Gray Gray Gray Gray Black Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Gray Gray Gray Gray Gray Black Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Gray Gray Gray Gray Gray Black Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Gray Gray Gray Gray Gray Black Brown Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray Gray Gray 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:\nYellow Orange Blue Green Brown Pink Gray Red Purple Blue\nPurple Brown Pink Orange Purple Pink Yellow Gray Orange Blue\nOrange Green Gray Blue Brown Purple Pink Pink Pink Yellow\nPink Green Purple Purple Orange Gray Blue Orange Red Purple\nYellow Orange Orange Green Yellow Brown Green Red Orange Blue\nPink Orange Yellow Green Yellow Blue Purple Brown Brown Blue\nBrown Brown Purple Green Green Purple Brown Red Blue Orange\nPurple Orange Red Purple Orange Purple Purple Brown Brown Purple\nGray Gray Orange Yellow Purple Yellow Blue Red Gray Red\nPink Orange Orange Gray Gray Yellow Yellow Purple Pink Purple\n\nOutput:\nGreen Green Green Green Green Pink Green Green Green Blue\nGreen Green Green Green Green Pink Green Green Green Blue\nGreen Green Green Green Green Green Pink Blue Pink Green\nGreen Green Purple Purple Green Green Green Green Green Green\nGreen Blue Orange Green Yellow Green Green Green Green Blue\nGreen Orange Green Blue Yellow Green Green Brown Brown Blue\nBrown Brown Green Blue Green Purple Green Green Green Green\nGreen Green Green Green Green Blue Purple Brown Brown Green\nGray Gray Orange Green Green Yellow Green Green Green Green\nGreen Orange Blue Gray Gray Blue Yellow Green Green Green\n\n\nExample 2\nInput:\nGreen Red Purple Yellow Green Yellow Gray Red Red Gray\nPink Orange Brown Yellow Red Purple Orange Yellow Brown Blue\nOrange Brown Pink Orange Pink Pink Pink Gray Green Blue\nYellow Blue Orange Yellow Blue Orange Orange Orange Blue Blue\nBlue Purple Blue Blue Purple Red Orange Gray Pink Purple\nRed Brown Orange Purple Red Pink Brown Purple Yellow Brown\nGreen Gray Brown Purple Purple Orange Brown Purple Pink Green\nPink Brown Pink Pink Gray Yellow Purple Orange Red Green\nBlue Brown Green Orange Pink Brown Purple Green Purple Red\nGray Purple Green Blue Gray Gray Purple Red Purple Pink\n\nOutput:\nGreen Green Green Yellow Green Green Green Red Red Green\nGreen Green Green Yellow Green Green Green Green Green Blue\nGreen Green Green Green Pink Blue Pink Green Green Blue\nGreen Green Green Green Green Orange Red Orange Blue Blue\nGreen Green Blue Blue Green Green Orange Green Green Green\nGreen Green Green Purple Green Green Brown Purple Green Green\nGreen Green Green Blue Purple Green Brown Purple Green Green\nGreen Brown Pink Pink Green Green Purple Green Green Green\nGreen Brown Green Green Green Green Blue Green Purple Green\nGreen Green Green Green Gray Gray Purple Green Purple Green\n\n\nExample 3\nInput:\nGreen Purple Purple Purple Gray Green Yellow Green Green Purple\nOrange Pink Blue Orange Green Blue Brown Blue Red Pink\nGray Orange Blue Gray Gray Green Brown Gray Green Yellow\nBrown Gray Brown Pink Blue Yellow Pink Pink Blue Brown\nYellow Pink Green Purple Blue Green Purple Brown Green Yellow\nYellow Blue Orange Brown Purple Blue Blue Yellow Purple Green\nRed Purple Gray Yellow Orange Yellow Orange Pink Purple Blue\nGreen Yellow Red Brown Purple Yellow Green Pink Red Green\nBlue Orange Yellow Pink Red Blue Gray Purple Blue Yellow\nOrange Green Pink Blue Brown Orange Blue Pink Pink Yellow\n\nOutput:\nGreen Purple Blue Purple Green Green Green Green Green Green\nGreen Green Blue Green Green Green Brown Green Green Green\nGreen Green Blue Gray Gray Green Brown Green Green Green\nGreen Green Green Green Blue Green Pink Pink Green Green\nYellow Green Green Green Blue Green Green Green Green Green\nYellow Green Green Green Green Blue Blue Green Purple Green\nGreen Green Green Green Green Yellow Green Pink Purple Green\nGreen Green Green Green Green Yellow Green Pink Green Green\nGreen Green Green Green Green Green Green Green Green Yellow\nGreen Green Green Green Green Green Green Pink Pink Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGray Pink Pink Red Green Purple Yellow Red Pink Brown\nGray Gray Purple Pink Gray Yellow Blue Yellow Red Yellow\nPink Pink Brown Brown Orange Blue Pink Orange Yellow Blue\nGray Gray Yellow Red Red Green Blue Blue Gray Yellow\nGreen Pink Blue Purple Pink Red Yellow Gray Brown Orange\nPink Brown Orange Orange Green Purple Gray Purple Gray Brown\nBrown Brown Orange Blue Green Purple Gray Orange Orange Yellow\nGray Orange Pink Orange Brown Brown Red Green Green Gray\nBrown Pink Gray Yellow Orange Orange Purple Purple Orange Gray\nBlue Pink Blue Purple Purple Brown Blue Green Red 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 Pink Pink Green Green Green Green Green Green Green\nBlue Gray Green Green Green Green Green Green Green Green\nPink Pink Brown Brown Green Green Green Green Green Green\nGray Gray Green Red Red Green Blue Blue Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Brown Blue Orange Green Purple Gray Green Green Green\nBrown Blue Orange Green Green Purple Gray Orange Orange Green\nGreen Green Green Green Brown Brown Green Green Green Gray\nGreen Pink Green Green Orange Orange Purple Purple Green Gray\nGreen Pink Green Purple Purple 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\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink 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 Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple 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 Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Red Red Red Red Black Black\nBlue Blue Blue Blue Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Green Green Black Black\nBlack Black Black Brown Brown Blue Blue Green Green Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Green Green Green Green Black\nBlack Black Brown Brown Blue Blue Green Green Green Green Black\nBlack Black Brown Brown Blue Blue Green Green Green Green Black\nBlack Red Brown Brown Blue Blue Green Green Green Green Black\nBlack Red Brown Brown Brown Brown Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red 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 Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Pink Pink Brown Brown Black Black\nBlack Black Black Pink Pink Brown Brown Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Gray Gray Black\nBlack Black Brown Brown Brown Brown Gray Gray Black\nBlack Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Black Black Black\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Black Black Black Black Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\n\n\nExample 3\nInput:\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange 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 Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Gray Gray Red\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Red Red\nBlack Gray Purple Gray Black Black Black Black Black Black Black Black Black Gray Gray Red\nBlack Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Orange Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Orange Gray Gray Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Orange Orange Gray Black Black\nBlack Gray Gray Gray Black Black Black Brown Brown Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Gray Gray Black Black Black Yellow Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Gray Gray\nBlack Black Gray Green Green Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Green Black Black Black Gray Gray Yellow Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Gray Yellow Yellow Black Black Black Black Black\n\nOutput:\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 Yellow Gray Gray Red Gray Gray Gray\nGray Gray Yellow Gray Red Red Gray Gray Gray\nGray Gray Yellow Gray Gray Red Gray Gray Gray\nGray Gray Orange Orange Gray Yellow Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Gray Gray Blue Black Black Black Gray Green Green\nBlack Black Green Gray Gray Black Gray Blue Blue Black Black Black Gray Gray Green\nBlack Black Green Green Gray Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Orange Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Gray Gray Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Yellow Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Purple Purple Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Black Gray Gray Yellow Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Gray Yellow Yellow Black Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Black Gray Gray Yellow Black Gray Green Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\n\nOutput:\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 Orange Gray Green Green Gray Gray Gray\nGray Gray Orange Gray Gray Green Gray Gray Gray\nGray Gray Orange Gray Gray Gray Gray Gray Gray\nGray Gray Green Green Green Green Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Gray Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Green Gray Gray Black Black Black Black Black Black Black\nGray Blue Gray Black Black Green Green Gray Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Gray Gray Brown Black Pink Pink Gray Black Gray Yellow Gray\nBlack Black Black Black Gray Brown Brown Black Pink Gray Gray Black Gray Gray Gray\nBlack Black Black Black Gray Gray Brown Black Gray Gray Gray Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Yellow Black Black Purple Gray Gray Black Black Black Black Black Black Black\nGray Yellow Yellow Black Black Purple Purple Gray Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Purple Gray Gray Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\n\nOutput:\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 Pink Yellow Yellow Yellow Gray Gray Gray\nGray Gray Pink Gray Yellow Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Green Green Gray Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray 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 Gray Green Green Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Gray Gray Green Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Gray Gray Gray Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Red Red\nBlack Black Orange Orange Gray Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Orange Gray Gray Black Black Black Black Gray Orange Gray Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Pink Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Pink Gray Gray Black Black Black Black Black Black Pink Gray Gray Black\nBlack Black Pink Pink Gray Black Gray Gray Pink Black Black Pink Pink Gray Black\nBlack Black Pink Gray Gray Black Gray Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Pink Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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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 Orange Gray Green Green Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Pink Gray Gray Red Gray Gray Gray\nGray Gray Pink Gray Red Red 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:\nBlack Black Black Green Black Green Black Black\nGreen Green Green Black Green Green Black Green\nBlack Green Black Green Black Black Black Black\nGreen Black Green Black Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Green Black\nBlack Black Green Black Black Black Black Black\nBlack Green Black Black Black Green Green Black\n\nOutput:\nBlack Black Black Green Black Green Black Black\nGreen Green Green Black Green Green Black Green\nBlack Green Black Green Black Black Black Black\nGreen Black Green Black Green Green Black Black\nGreen Black Black Black Black Black Black Black\nGreen Black Green Black Green Black Green Black\nBlack Black Green Black Black Black Black Black\nBlack Green Black Black Black Green Green Black\n\n\nExample 2\nInput:\nBlack Green Green Black Black Black Green\nBlack Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nBlack Black Black Black Black Black Green\nBlack Black Black Green Black Green Green\nBlack Green Green Black Black Black Black\nBlack Green Black Green Black Green Black\n\nOutput:\nGreen Green Green Black Green Black Green\nBlack Black Black Black Black Black Green\nGreen Black Black Black Black Black Green\nBlack Black Black Black Black Black Green\nGreen Black Black Green Black Green Green\nBlack Green Green Black Green Black Black\nBlack Green Black Green Green Green Green\n\n\nExample 3\nInput:\nBlack Green Black Black Black Black Black\nGreen Green Green Black Black Black Black\nBlack Green Black Green Green Black Green\nBlack Green Green Black Black Black Black\nBlack Green Black Green Black Black Black\nBlack Black Black Black Black Green Green\nBlack Green Black Black Green Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Green Green\n\nOutput:\nBlack Green Black Black Black Black Black\nGreen Green Green Black Black Black Black\nGreen Green Black Green Green Black Green\nBlack Green Green Black Black Black Black\nBlack Green Green Green Black Black Black\nBlack Black Black Black Black Green Green\nBlack Green Black Black Green Black Black\nBlack Black Black Green Green Black Black\nBlack Black Black Black Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Black Green Black Black Green Black Black\nBlack Black Green Green Black Green Black Green Black\nGreen Green Black Black Black Black Black Black Green\nBlack Black Green Green Black Black Green Green Black\nGreen Black Black Green Black Black Green Black Black\nGreen Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Green\nGreen Black Green Black Black Black Black Black Black\nGreen Black Black Black Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Black Green Black Black Green Black Black\nBlack Black Green Green Black Green Black Green Black\nGreen Green Black Black Black Black Black Black Green\nBlack Black Green Green Black Black Green Green Black\nGreen Black Black Green Black Black Green Black Black\nGreen Green Black Black Black Black Black Black Green\nBlack Black Black Green Black Black Black Black Green\nGreen Black Green Black Black Black Black Black Black\nGreen Black Black Black 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"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange 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 Orange Orange 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange 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 Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black 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 Orange Orange Black Black Black Black\nBlack Black Black Black Black 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 Orange Orange Black Black Black Black\nBlack Black Black Black Black 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 Orange Orange Black Black Black Black\nBlack Black Black Black Black 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 Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue\nBlack Black Black Black Black 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 Orange Orange Black Black Black Black\nBlack Black Black Black Black 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 Orange Orange Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 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 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 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue\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 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Black 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:\nPink Black Pink Black Black Black Black\nBlack Pink Pink Black Black Black Black\nBlack Black Pink Black Pink Black Black\nBlack Black Pink Black Black Black Black\nPink Black Black Black Black Black Pink\nBlack Pink Pink Black Black Pink Black\n\nOutput:\nPink Pink Pink Black Pink Pink Pink\nPink Pink Pink Black Pink Pink Pink\nPink Pink Pink Black Pink Pink Pink\nPink Pink Pink Black Pink Pink Pink\nPink Pink Pink Black Pink Pink Pink\nPink Pink Pink Black Pink Pink Pink\n\n\nExample 2\nInput:\nOrange Black Orange Black Black Black\nOrange Black Orange Orange Black Black\nOrange Black Orange Black Black Orange\nOrange Black Black Black Black Black\nOrange Orange Orange Orange Black Orange\nOrange Orange Orange Black Black Orange\nOrange Orange Black Black Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black\nGray Gray Black Black Black Gray Gray\nBlack Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Black Black Black Gray Black\nBlack Black Gray Black Gray Black Black\n\nOutput:\nGray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Pink\nBlack Pink Black Pink Black\nPink Black Black Black Black\nBlack Black Black Black Black\nBlack Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Pink Pink\nPink Pink Black Pink Pink\nPink Pink Black Pink Pink\nPink Pink Black Pink Pink\nPink Pink Black Pink Pink\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue 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\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 Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Black\nBlack 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 Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black\nBlack Blue 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 Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\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 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\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 Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black 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 Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue 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 Black Black Blue Blue Blue 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 Black Black Blue Blue Blue 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 Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 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 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 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue 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 Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\n\n\nExample 3\nInput:\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black\nBlack Black Black 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 Black\nBlack Black Black 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 Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black 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 Black Black Black 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 Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black 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 Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black 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 Black\nBlack Black Black 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 Black\nBlack Black Black 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 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink 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:\nBrown Brown Red Red Orange Orange Orange Orange Blue Blue Orange Orange\nBrown Brown Red Red Orange Orange Orange Orange Blue Blue Orange Orange\nYellow Yellow Green Green Purple Purple Gray Gray Purple Purple Green Green\nYellow Yellow Green Green Purple Purple Gray Gray Purple Purple Green Green\nYellow Yellow Blue Blue Pink Pink Pink Pink Yellow Yellow Purple Purple\nYellow Yellow Blue Blue Pink Pink Pink Pink Yellow Yellow Purple Purple\nYellow Yellow Blue Blue Pink Pink Pink Pink Yellow Yellow Purple Purple\nYellow Yellow Blue Blue Pink Pink Pink Pink Yellow Yellow Purple Purple\nYellow Yellow Green Green Purple Purple Gray Gray Purple Purple Green Green\nYellow Yellow Green Green Purple Purple Gray Gray Purple Purple Green Green\nBrown Brown Red Red Orange Orange Orange Orange Blue Blue Orange Orange\nBrown Brown Red Red Orange Orange Orange Orange Blue Blue Orange Orange\n\nOutput:\nBlack Black Green Green Purple Purple Purple Purple Yellow Yellow Purple Purple\nBlack Black Green Green Purple Purple Purple Purple Yellow Yellow Purple Purple\nBlue Blue Red Red Orange Orange Pink Pink Orange Orange Red Red\nBlue Blue Red Red Orange Orange Pink Pink Orange Orange Red Red\nBlue Blue Yellow Yellow Gray Gray Gray Gray Blue Blue Orange Orange\nBlue Blue Yellow Yellow Gray Gray Gray Gray Blue Blue Orange Orange\nYellow Yellow Blue Blue Pink Pink Pink Pink Yellow Yellow Purple Purple\nYellow Yellow Blue Blue Pink Pink Pink Pink Yellow Yellow Purple Purple\nYellow Yellow Green Green Purple Purple Gray Gray Purple Purple Green Green\nYellow Yellow Green Green Purple Purple Gray Gray Purple Purple Green Green\nBrown Brown Red Red Orange Orange Orange Orange Blue Blue Orange Orange\nBrown Brown Red Red Orange Orange Orange Orange Blue Blue Orange Orange\n\n\nExample 2\nInput:\nPink Pink Brown Brown Brown Brown Pink Pink\nPink Pink Brown Brown Brown Brown Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Green Green\nPink Pink Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Pink Pink\n\nOutput:\nGray Gray Black Black Brown Brown Pink Pink\nGray Gray Black Black Brown Brown Pink Pink\nPink Pink Pink Pink Gray Gray Gray Gray\nPink Pink Pink Pink Gray Gray Gray Gray\nRed Red Black Black Brown Brown Green Green\nRed Red Black Black Brown Brown Green Green\nGray Gray Yellow Yellow Blue Blue Pink Pink\nGray Gray Yellow Yellow Blue Blue Pink Pink\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Pink Pink Pink Pink Gray Gray\nGray Gray Pink Pink Pink Pink Gray Gray\nYellow Yellow Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Yellow Yellow\nPink Pink Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Pink Pink\n\nOutput:\nOrange Orange Orange Orange Purple Purple Purple Purple\nOrange Orange Orange Orange Purple Purple Purple Purple\nPink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Gray Gray Pink Pink Gray Gray\nBlue Blue Black Black Brown Brown Yellow Yellow\nBlue Blue Black Black Brown Brown Yellow Yellow\nGray Gray Yellow Yellow Blue Blue Pink Pink\nGray Gray Yellow Yellow Blue Blue Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Red Red Red Red Purple Purple\nPurple Purple Red Red Red Red Purple Purple\nPink Pink Red Red Red Red Pink Pink\nPink Pink Red Red Red Red Pink Pink\nGreen Green Orange Orange Orange Orange Green Green\nGreen Green Orange Orange Orange Orange Green Green\nPurple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple\nPink Pink Purple Purple Purple Purple Pink Pink\nPink Pink Purple Purple Purple Purple 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 Green Green Red Red Purple Purple\nOrange Orange Green Green Red Red Purple Purple\nGray Gray Green Green Red Red Pink Pink\nGray Gray Green Green Red Red Pink Pink\nRed Red Purple Purple Orange Orange Green Green\nRed Red Purple Purple Orange Orange Green Green\nOrange Orange Yellow Yellow Blue Blue Purple Purple\nOrange Orange Yellow Yellow Blue Blue Purple Purple\nGray Gray Orange Orange Purple Purple Pink Pink\nGray Gray Orange Orange Purple Purple 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\nBlack Black Black Black Black Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Pink Black Black\nBlack Black Pink Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Black Black\nBlack Blue Orange Orange Orange 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 Orange Orange Black Black Black\nBlack Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Yellow Gray Gray Gray 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 Gray Gray Black Black Black\nBlack Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown 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\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 Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 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 Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Black Black Blue 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue 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:\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Blue Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Green Black Black Pink Black Black Black Black\nBlack Green Black Black Pink Black Black Black Black\nBlack Green Black Black Pink Black Black Black Black\nBlack Green Black Black Pink Black Black Black Black\nBlack Green Black Black Pink Black Black Black Black\nBlack Green Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Green Black Black Pink Black Black Black Black\nBlack Green Black Black Pink Black Black Black Black\nBlack Green Black Black Pink Black Black Black Black\nBlack Green Black Black Pink Black Black Black Black\nBlack Green Black Black Pink Black Black Black Black\nBlack Green Black Black Pink Black Black Black Black\nBlack Black Black Black Pink 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nPink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nPink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Brown Black Black\nGreen Green Green 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nYellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Pink Black Black Black\nBlack Green Pink Green Black Black\nBlack Black Pink Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nYellow Yellow Yellow 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\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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 Orange Green Black Pink\nBlack Black Black Black Yellow Purple Black Brown\nBlack Purple Black Black Black Green Orange Black\nYellow Orange Red Black Orange Purple Blue Pink\nBlue Black Black Black Black Black Black Brown\nBlack Orange Black Black Pink Black Yellow Black\nBlack Black Red Pink Black Black Red Black\nPurple Brown Black Black Black Black Black Orange\n\nOutput:\nBlack Black Gray Purple Orange Red Gray Pink\nBlack Gray Black Gray Blue Purple Gray Brown\nGray Purple Gray Black Gray Red Orange Gray\nBlue Orange Green Gray Orange Purple Yellow Pink\nYellow Gray Gray Black Gray Gray Gray Brown\nGray Orange Gray Gray Pink Gray Blue Gray\nGray Gray Green Pink Gray Gray Green Gray\nPurple Brown Gray Gray Black Black Gray Orange\n\n\nExample 2\nInput:\nBrown Black Black Blue Black Brown Black\nBlue Purple Yellow Purple Black Brown Red\nPink Red Black Black Orange Purple Black\nPink Gray Black Gray Blue Pink Red\nBlack Black Black Pink Purple Orange Brown\nPurple Black Black Black Blue Black Black\nBlue Red Brown Black Black Green Black\n\nOutput:\nBrown Gray Gray Yellow Gray Brown Gray\nYellow Purple Blue Purple Gray Brown Green\nPink Green Gray Gray Orange Purple Gray\nPink Black Gray Black Yellow Pink Green\nGray Gray Gray Pink Purple Orange Brown\nPurple Gray Gray Gray Yellow Gray Gray\nYellow Green Brown Gray Gray Red Gray\n\n\nExample 3\nInput:\nPurple Black Black Blue Gray Black Black\nRed Gray Black Black Black Yellow Black\nPink Brown Black Black Black Green Black\nBlack Black Black Black Brown Purple Black\nBlack Black Brown Orange Brown Black Black\nBlack Black Black Brown Black Brown Black\nBlack Black Blue Blue Black Gray Pink\nYellow Black Gray Yellow Black Black Gray\nGreen Blue Black Black Black Orange Black\n\nOutput:\nPurple Gray Gray Yellow Black Gray Black\nGreen Black Gray Gray Gray Blue Gray\nPink Brown Gray Black Gray Red Gray\nGray Gray Gray Gray Brown Purple Gray\nBlack Gray Brown Orange Brown Gray Black\nBlack Black Gray Brown Gray Brown Gray\nGray Gray Yellow Yellow Gray Black Pink\nBlue Gray Black Blue Gray Gray Black\nRed Yellow Gray Gray Gray Orange Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Yellow Black Yellow Black Black Orange Gray\nBrown Pink Gray Red Black Purple Brown Black Black\nBlack Black Gray Black Purple Black Purple Purple Black\nGray Black Black Black Yellow Red Black Yellow Black\nPink Black Black Orange Blue Brown Purple Black Blue\nGreen Pink Brown Brown Orange Black Black Pink Black\nBlack Purple Black Yellow Black Black Red Black Gray\nGray Blue Pink Orange Black Blue Green Blue Black\nBlack Gray Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Gray Blue Gray Blue Gray Gray Orange Black\nBrown Pink Black Green Gray Purple Brown Gray Gray\nGray Gray Black Gray Purple Gray Purple Purple Gray\nBlack Gray Gray Gray Blue Green Gray Blue Gray\nPink Gray Gray Orange Yellow Brown Purple Gray Yellow\nRed Pink Brown Brown Orange Gray Gray Pink Gray\nGray Purple Gray Blue Gray Gray Green Gray Black\nBlack Yellow Pink Orange Gray Yellow Red Yellow Gray\nGray Black Gray Gray Black Gray Gray 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:\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Orange Orange Black Black Black Orange Orange Black Black Orange Orange Orange Orange\nBlack Orange Orange Black Black Black Orange Orange Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange\n\nOutput:\nGray Gray Gray\nGray Gray Gray\nBlue Blue Blue\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange Black\nBlack Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange Black\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange\n\nOutput:\nGray Gray Gray\nBlue Blue Blue\nGray Gray Gray\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Orange Orange Black Black Black Orange Orange Black Black Black Orange Orange Black\nBlack Orange Orange Black Black Black Orange Orange Black Black Black Orange Orange Black\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange\n\nOutput:\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange Black Black Black Orange Orange Black\nOrange Orange Orange Orange Black Black Orange Orange Black Black Black Orange Orange Black\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange 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```\nBlue Blue Blue\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:\nBrown Purple Gray\nPink Yellow Pink\nYellow Purple Orange\n\nOutput:\nGray Purple Brown\nPink Yellow Pink\nOrange Purple Yellow\n\n\nExample 2\nInput:\nGreen Pink Blue\nYellow Blue Red\nGreen Pink Orange\n\nOutput:\nBlue Pink Green\nRed Blue Yellow\nOrange Pink Green\n\n\nExample 3\nInput:\nRed Green Blue\nBrown Yellow Yellow\nGreen Orange Gray\n\nOutput:\nBlue Green Red\nYellow Yellow Brown\nGray Orange Green\n\n\nHere is the input grid for the test example:\nInput:\nBrown Gray Brown\nGray Green Pink\nGray Gray 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```\nBrown Gray Brown\nPink Green Gray\nPink 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\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\n\nExample 3\nInput:\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\n\nOutput:\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\nYellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown 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 Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Yellow Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nYellow Brown Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black\nBlack Black Black Brown 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 Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Green 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 Orange Green Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green 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\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 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Purple Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black\nPurple Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Green Black Green Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack 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 Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Purple 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray 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\nBlack Black Black 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 Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Purple Black Purple 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\nBlack Black Gray Black Purple 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 Gray Black Black Black Gray\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Gray 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\n\nDirectly provide the output grids corresponding to the given test input 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Purple 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Green Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Black Black Black\nBlack Black Black Blue Blue Red Blue Blue Black Green Green Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Green Green Green Green Green Green Green Black Black\nBlack Black Black Red Red Red Red Red Black Green Green Green Green Green Black Black Black\nBlack Black Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Green Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Green Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Red Blue Blue Black Green Green Green Green Green Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Green Green Green Green Green Green Green Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Black Green Green Green Green Green Yellow Yellow Yellow\nYellow Yellow Red Red Red Red Red Red Red Green Green Green Green Green Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Green Green Green Black Black Blue Black Black Black Black Black\nBlack Black Green Green Green Green Green Blue Red Blue Blue Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Black Black Black\nBlack Black Black Black Green Blue Red Red Red Red Red Blue Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Green Black Black Blue Black Black Black Black Black\nBlack Black Green Green Green Green Green Blue Yellow Blue Blue Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Green Blue Yellow Yellow Yellow Yellow Yellow Blue Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Green Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nYellow Yellow Green Green Green Green Green Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Yellow Green Green Green Green Green Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nYellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nYellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow\nYellow Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Green Green 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\nYellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Green Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Green Green Green\nYellow Yellow Blue Green Yellow Black Black Black Black Black Green Black\nYellow Blue Blue Blue Green Green Black Black Black Black Black Black\nYellow Green Blue Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Green 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\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 Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nYellow Yellow Blue Green Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow\nYellow Blue Blue Blue Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Green Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nBlack Green Green Green Green Green 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Yellow Black Purple Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Orange Purple Black Purple\nPurple Black Black Orange Black Black Black Blue Yellow Black Purple\nPurple Black Gray Orange Black Black Black Black Black Black Purple\nPurple Black Black Black Pink Black Black Blue Black Purple Purple\nPurple Black Black Black Pink Purple Black Red Gray Black Purple\nPurple Black Black Black Purple Black Red Black Red Blue Purple\nPurple Blue Black Green Yellow Pink Black Black Black Black Purple\nPurple Purple Brown Black Black Pink Black Yellow Blue Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Green Black Black Pink\nPink Blue Black Black Black Black Black Black Black Pink\nPink Black Yellow Black Blue Black Blue Black Black Pink\nPink Black Black Red Black Black Black Black Purple Pink\nPink Brown Orange Black Blue Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Orange Black Yellow Black Black Yellow Black Purple Pink\nPink Pink Black Black Black Brown Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Brown Black Black Brown Black Black Purple Black Orange\nOrange Black Black Black Blue Orange Black Black Black Orange\nOrange Yellow Black Blue Black Black Yellow Gray Black Orange\nOrange Purple Black Black Black Black Black Black Black Orange\nOrange Black Blue Purple Brown Black Green Yellow Black Orange\nOrange Black Green Blue Black Black Black Gray Blue Orange\nOrange Black Black Green Black Black Black Black Brown Orange\nOrange Black Brown Red Black Black Pink Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Yellow Gray Orange Black Blue Yellow Black Black Black Gray\nGray Black Black Black Black Black Green Pink Orange Yellow Purple Gray\nGray Black Black Brown Black Black Black Black Black Black Pink Gray\nGray Green Black Black Black Gray Black Black Black Black Black Gray\nGray Black Black Black Black Black Gray Black Black Gray Purple Gray\nGray Black Yellow Black Black Brown Black Black Brown Brown Black Gray\nGray Gray Brown Orange Black Purple Gray Black Purple Yellow Black Gray\nGray Black Black Gray Black Black Black Green Brown Black Black Gray\nGray Gray Black Green Black Black Black Black Black Black Yellow Gray\nGray Black Black Black Black Gray Black Pink Green Brown Red Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Pink Pink Pink Pink Brown Brown\nBrown Brown Pink Pink Pink Pink Brown Brown\nBrown Brown Pink Pink Pink Pink Brown Brown\nBrown Brown Pink Pink Pink Pink Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 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\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Pink 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Red Black Black Red Black\nRed Red Red Red Red Red\nBlack Red Red Red Red Black\nBlack Red Red Red Red Black\nRed Red Red Red Red Red\nBlack Red Black Black Red Black\n\nOutput:\nBlack Pink Black Black Pink Black\nPink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink\nBlack Pink Black Black Pink Black\n\n\nExample 2\nInput:\nBlack Red Green Red Black\nBlack Red Green Red Black\nRed Red Red Red Red\nBlue Blue Green Blue Blue\nBlack Black Green Black Black\n\nOutput:\nBlack Black Yellow Black Black\nGray Gray Yellow Gray Gray\nPink Pink Pink Pink Pink\nBlack Pink Yellow Pink Black\nBlack Pink Yellow Pink Black\n\n\nExample 3\nInput:\nBlack Black Blue Black Blue Black Black\nBlack Red Red Green Red Red Black\nGreen Red Green Green Green Red Green\nBlue Red Green Red Green Red Blue\nBlue Blue Blue Blue Blue Blue Blue\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray\nGray Pink Yellow Pink Yellow Pink Gray\nYellow Pink Yellow Yellow Yellow Pink Yellow\nBlack Pink Pink Yellow Pink Pink Black\nBlack Black Gray Black Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Black Black Blue Red Red\nGreen Red Red Green Blue Red Red\nBlack Red Green Green Blue Blue Red\nBlack Red Red Black Green Blue Black\nBlack Red Green Green Blue Blue Red\nGreen Red Red Green Blue Red Red\nGreen Green Black Black Blue 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```\nYellow Yellow Black Black Gray Pink Pink\nYellow Pink Pink Yellow Gray Pink Pink\nBlack Pink Yellow Yellow Gray Gray Pink\nBlack Pink Pink Black Yellow Gray Black\nBlack Pink Yellow Yellow Gray Gray Pink\nYellow Pink Pink Yellow Gray Pink Pink\nYellow Yellow Black Black Gray Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black 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\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black 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\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black 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 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink 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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red 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 Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black 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\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Green Green Green Green Green Green 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 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 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown 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 Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown 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 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 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 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 Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Purple Black Black\nBlack Orange Black Pink Black Black Black Black Black\nBlack Pink Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Black Red Black Black Brown Black Black Green\nBlack Black Yellow Black Pink Green Black Black Black\nBlack Gray Orange 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 Red Red Orange Pink Black Black Black\nBlack Red Red Green Green Black Black Black\nBlack Gray Gray Green Green Black Black Black\nBlack Gray Gray Orange Pink Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Black Black Pink Black Black Black\nPurple Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Gray Gray Black\nBlack Red Gray Gray Black\nBlack Red Purple Purple Black\nBlack Black Purple Purple Black\n\n\nExample 3\nInput:\nBlack Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Yellow Black\nOrange Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nGray Gray Orange Orange Black\nGray Gray Orange Orange Black\nBlack Purple Purple Purple Black\nBlack Black Purple Purple 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 Brown\nBlack Black Black Pink Black Black Black Black Black\nGray Pink Black Black Gray Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black\nOrange Orange Gray Gray Black Black\nOrange Orange Gray Gray Black Black\nBlack Gray Gray Gray Black Black\nBlack Black Gray Gray Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Orange Black Black Pink Pink Black Black Orange Black\nBlack Black Orange Black Pink Pink Black Orange Black Black\nBlack Black Black Pink Purple Purple Pink Black Black Black\nBlack Black Pink Purple Orange Orange Purple Pink Black Black\nBlack Pink Purple Black Orange Orange Black Purple Pink Black\nPink Purple Black Orange Black Black Orange Black Purple Pink\nPurple Black Orange Black Black Black Black Orange Black Purple\n\nOutput:\nBlack Orange Black Black Pink Pink Black Black Orange Black\nBlack Black Orange Black Pink Pink Black Orange Black Black\nBlack Black Black Pink Purple Purple Pink Black Black Black\nBlack Black Pink Orange Orange Orange Purple Pink Black Black\nBlack Pink Purple Black Orange Purple Black Purple Pink Black\nPink Purple Black Orange Black Black Orange Black Purple Pink\nPurple Black Orange Black Black Black Black Orange Black Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBrown Black Yellow Gray Black Black Black Black Black Black Black Black Black Black Black Gray Yellow Black Brown\nBlack Brown Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Brown Black\nYellow Gray Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Gray Yellow\nGray Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Gray\nBlack Black Blue Black Brown Black Black Black Black Black Black Black Black Black Brown Black Blue Black Black\nBlack Blue Black Black Black Brown Black Black Black Black Black Black Black Brown Black Black Black Blue Black\nBlue Black Black Black Black Black Brown Black Black Black Black Black Brown Black Black Black Black Black Blue\nBlack Black Red Black Black Black Black Brown Black Black Black Brown Black Black Black Black Red Black Black\nBlack Black Black Red Black Black Black Black Brown Black Brown Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Brown Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Brown Black Brown Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Brown Black Black Black Brown Red 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 Brown Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBrown Black Yellow Gray Black Black Black Black Black Black Black Black Black Black Black Gray Yellow Black Brown\nBlack Brown Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Brown Black\nYellow Gray Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Gray Yellow\nGray Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Gray\nBlack Black Blue Black Brown Black Black Black Black Black Black Black Black Black Brown Black Blue Black Black\nBlack Blue Black Black Black Brown Black Black Black Black Black Black Black Brown Black Black Black Blue Black\nBlue Black Black Black Black Black Brown Black Black Black Black Black Brown Black Black Black Black Black Blue\nBlack Black Red Black Black Black Black Yellow Black Black Black Brown Black Black Black Black Red Black Black\nBlack Black Black Red Black Black Black Black Brown Black Brown Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Brown Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Brown Black Brown Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Brown Black Black Black Brown Red Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Brown Black Black Black Gray Gray Black Black Black Brown Black Black Black\nBlack Black Brown Black Black Black Yellow Gray Gray Yellow Black Black Black Brown Black Black\nBlack Brown Black Black Black Yellow Gray Black Black Gray Yellow Black Black Black Brown Black\nBrown Black Black Black Yellow Gray Black Black Black Black Gray Yellow Black Black Black Brown\nPurple Black Black Yellow Gray Black Black Black Black Black Black Gray Yellow Black Black Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Brown Black Black Black Gray Gray Black Black Black Brown Black Black Black\nBlack Black Brown Black Black Black Yellow Gray Gray Brown Black Black Black Brown Black Black\nBlack Brown Black Black Black Yellow Gray Black Black Gray Yellow Black Black Black Brown Black\nBrown Black Black Black Yellow Gray Black Black Black Black Gray Yellow Black Black Black Brown\nPurple Black Black Yellow Gray Black Black Black Black Black Black Gray Yellow Black Black Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Gray Brown Black Black Black Black Black Black Black Black Brown Gray Black Black Black\nBlack Black Gray Brown Black Black Black Black Black Black Black Black Black Black Brown Gray Black Black\nBlack Gray Brown Black Black Black Black Purple Black Black Purple Black Black Black Black Brown Gray Black\nGray Brown Black Black Orange Black Purple Black Black Black Black Purple Black Orange Black Black Brown Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Gray Brown Black Black Black Black Black Black Black Black Brown Gray Black Black Black\nBlack Black Gray Brown Black Black Black Black Black Black Black Black Black Black Brown Gray Black Black\nBlack Gray Brown Black Black Black Black Purple Black Black Purple Black Black Black Black Brown Gray Black\nGray Brown Black Black Brown Black Purple Black Black Black Black Purple Black Orange Black Black Brown Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Brown Blue Black Black Black Black Black Black\nBrown Gray Blue Pink Gray Pink Gray Pink Brown\nBrown Orange Gray Pink Pink Pink Purple Brown Yellow\nBlue Orange Orange Gray Pink Gray Blue Red Pink\nBrown Red Purple Orange Gray Blue Orange Yellow Purple\nGreen Gray Orange Red Pink Gray Green Green Brown\nOrange Purple Purple Yellow Blue Green Gray Red Purple\nPurple Brown Orange Brown Yellow Blue Pink Gray Blue\nYellow Gray Gray Red Purple Blue Red Yellow Gray\n\nOutput:\nGray Brown Blue Black Black Black Black Black Black\nBrown Brown Blue Pink Gray Pink Gray Pink Brown\nBrown Orange Blue Pink Pink Pink Purple Brown Yellow\nBlue Orange Orange Black Pink Gray Blue Red Pink\nBrown Red Purple Orange Black Blue Orange Yellow Purple\nGreen Gray Orange Red Pink Black Green Green Brown\nOrange Purple Purple Yellow Blue Green Black Red Purple\nPurple Brown Orange Brown Yellow Blue Pink Black Blue\nYellow Gray Gray Red Purple Blue Red Yellow Black\n\n\nExample 2\nInput:\nGray Orange Red Green Brown Black Black Black Black\nPink Gray Red Gray Orange Pink Green Pink Pink\nGray Green Gray Pink Gray Purple Green Purple Gray\nOrange Purple Purple Gray Purple Blue Yellow Blue Pink\nGreen Gray Gray Pink Gray Brown Yellow Yellow Gray\nRed Pink Gray Blue Yellow Gray Green Yellow Blue\nBlue Blue Green Blue Red Green Gray Gray Green\nBrown Pink Yellow Pink Pink Red Brown Gray Gray\nOrange Pink Brown Blue Orange Pink Red Purple Gray\nRed Orange Brown Pink Brown Blue Purple Purple Red\nRed Yellow Orange Blue Pink Purple Blue Purple Gray\nGray Red Red Green Red Gray Green Yellow Brown\n\nOutput:\nGray Orange Red Green Brown Black Black Black Black\nPink Orange Red Gray Orange Pink Green Pink Pink\nGray Green Red Pink Gray Purple Green Purple Gray\nOrange Purple Purple Green Purple Blue Yellow Blue Pink\nGreen Gray Gray Pink Brown Brown Yellow Yellow Gray\nRed Pink Gray Blue Yellow Black Green Yellow Blue\nBlue Blue Green Blue Red Green Black Gray Green\nBrown Pink Yellow Pink Pink Red Brown Black Gray\nOrange Pink Brown Blue Orange Pink Red Purple Black\nRed Orange Brown Pink Brown Blue Purple Purple Red\nRed Yellow Orange Blue Pink Purple Blue Purple Gray\nGray Red Red Green Red Gray Green Yellow Brown\n\n\nExample 3\nInput:\nGray Green Black Black Black Black Black Black Black Black\nRed Gray Gray Pink Brown Brown Pink Red Purple Green\nBrown Green Gray Yellow Orange Purple Purple Red Gray Green\nBrown Purple Pink Gray Yellow Blue Orange Red Blue Yellow\nOrange Brown Brown Purple Gray Blue Red Purple Yellow Gray\nPink Orange Red Blue Pink Gray Green Brown Orange Blue\nOrange Red Green Orange Pink Orange Gray Pink Pink Pink\nPink Brown Yellow Brown Yellow Red Yellow Gray Blue Brown\nBrown Green Gray Purple Blue Orange Orange Yellow Gray Brown\nBrown Orange Blue Green Blue Yellow Green Blue Gray Gray\nYellow Red Brown Red Pink Orange Orange Purple Red Yellow\nGreen Brown Purple Brown Orange Green Brown Green Blue Yellow\nGreen Blue Red Orange Green Red Green Green Orange Purple\nPink Pink Blue Pink Green Green Yellow Gray Green Orange\n\nOutput:\nGray Green Black Black Black Black Black Black Black Black\nRed Green Gray Pink Brown Brown Pink Red Purple Green\nBrown Green Black Yellow Orange Purple Purple Red Gray Green\nBrown Purple Pink Black Yellow Blue Orange Red Blue Yellow\nOrange Brown Brown Purple Black Blue Red Purple Yellow Gray\nPink Orange Red Blue Pink Black Green Brown Orange Blue\nOrange Red Green Orange Pink Orange Black Pink Pink Pink\nPink Brown Yellow Brown Yellow Red Yellow Black Blue Brown\nBrown Green Gray Purple Blue Orange Orange Yellow Black Brown\nBrown Orange Blue Green Blue Yellow Green Blue Gray Black\nYellow Red Brown Red Pink Orange Orange Purple Red Yellow\nGreen Brown Purple Brown Orange Green Brown Green Blue Yellow\nGreen Blue Red Orange Green Red Green Green Orange Purple\nPink Pink Blue Pink Green Green Yellow Gray Green Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Green Red Blue Orange Black Black Black Black Black Black Black Black\nBrown Gray Blue Yellow Green Blue Green Gray Green Brown Red Blue Orange\nGray Brown Gray Yellow Red Red Yellow Green Green Green Pink Purple Yellow\nRed Blue Brown Gray Orange Brown Pink Yellow Blue Orange Pink Brown Purple\nOrange Gray Brown Green Gray Purple Pink Purple Green Brown Orange Red Red\nOrange Pink Red Red Orange Gray Purple Red Pink Pink Brown Pink Orange\nBrown Green Pink Gray Blue Gray Gray Purple Purple Blue Yellow Purple Gray\nPink Blue Yellow Orange Green Purple Blue Gray Gray Pink Green Pink Pink\nRed Orange Green Pink Blue Brown Gray Orange Gray Brown Red Orange Gray\nGreen Red Blue Red Gray Red Pink Red Green Gray Pink Orange Yellow\nPink Brown Purple Purple Blue Pink Blue Purple Pink Green Gray Orange Brown\nPurple Yellow Brown Orange Gray Blue Pink Purple Red Gray Orange Gray Brown\nPurple Blue Purple Purple Yellow Green Pink Red Yellow Orange Yellow Brown Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Green Red Blue Orange Black Black Black Black Black Black Black Black\nBrown Green Blue Yellow Green Blue Green Gray Green Brown Red Blue Orange\nGray Brown Red Yellow Red Red Yellow Green Green Green Pink Purple Yellow\nRed Blue Brown Blue Orange Brown Pink Yellow Blue Orange Pink Brown Purple\nOrange Gray Brown Green Orange Purple Pink Purple Green Brown Orange Red Red\nOrange Pink Red Red Orange Black Purple Red Pink Pink Brown Pink Orange\nBrown Green Pink Gray Blue Gray Black Purple Purple Blue Yellow Purple Gray\nPink Blue Yellow Orange Green Purple Blue Black Gray Pink Green Pink Pink\nRed Orange Green Pink Blue Brown Gray Orange Black Brown Red Orange Gray\nGreen Red Blue Red Gray Red Pink Red Green Black Pink Orange Yellow\nPink Brown Purple Purple Blue Pink Blue Purple Pink Green Black Orange Brown\nPurple Yellow Brown Orange Gray Blue Pink Purple Red Gray Orange Black Brown\nPurple Blue Purple Purple Yellow Green Pink Red Yellow Orange Yellow Brown Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Brown Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Pink Yellow Yellow Yellow Gray Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Brown Pink Pink Yellow Pink Yellow Gray Yellow Yellow\nYellow Yellow Brown Pink Pink Yellow Pink Yellow Gray Yellow Yellow\nYellow Yellow Brown Pink Pink Yellow Purple Yellow Gray Yellow Yellow\nYellow Yellow Brown Pink Pink Yellow Purple Yellow Gray Yellow Yellow\nYellow Yellow Yellow Pink Pink Yellow Purple Yellow Gray Yellow Yellow\nYellow Yellow Yellow Pink Pink Yellow Purple Yellow Gray Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlue Green Green Green Green Green Green Green Pink Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green\nGreen Green Green Green Green Green Green Green Gray 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 Red Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nYellow Green Green Green Green Green Green Green Green Green Green\nYellow Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nBlue Green Green Green Green Green Green Orange Pink Green Green\nYellow Green Green Green Green Green Green Orange Gray Green Green\nYellow Green Green Green Green Green Green Green Gray Green Green\nYellow Green Green Green Green Green Green Green Red Green Green\nYellow Green Green Green Green Green Green Green Red Green Green\nYellow Green Green Green Green Green Green Green Red Green Green\nYellow Green Green Green Green Green Green Green Green Green Green\nYellow Green Green Green Green Green Green Green Green Green Green\nYellow Green Green Green Green Green Green Green Green Green Green\nYellow Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green\nBlue Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Orange Green Green Green Green Green\nGreen Green Purple Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Brown Green Green Green Green Green\nGreen Green Green Brown Green Green Green Green Green\nGreen Green Green Brown Green Green Green Green Green\nGreen Green Green Brown Green Green Green Green Green\n\nOutput:\nBlue Green Purple Orange Green Green Red Green Green\nBlue Green Purple Orange Green Green Red Green Green\nGreen Green Purple Orange Green Green Red Green Green\nGreen Green Purple Orange Green Green Red Green Green\nGreen Green Purple Brown Green Green Red Green Green\nGreen Green Green Brown Green Green Red Green Green\nGreen Green Green Brown Green Green Green Green Green\nGreen Green Green Brown Green Green Green Green Green\nGreen Green Green Brown Green Green Green Green Green\nGreen Green Green Brown Green Green Green Green Green\nGreen Green Green Brown Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Pink Blue Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray Gray Gray\nGray Gray Gray Gray Pink Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink 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\nBlack Black Orange Purple Orange Black Black Black Black Black Brown Black\nBlack Black Black Black Purple Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Yellow Orange\nBlack Black Black Black Brown Black Black Black Black Green Black Black\nBlack Black Purple Black Pink Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Purple Black Pink Black Purple Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Yellow Orange\nBlack Black Black Black Purple Black Black Black Black Blue Black Black\nBlack Black Orange Purple Orange Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Red Blue Black Black Brown Purple Black Black\nBlack Purple Green Black Black Gray Yellow Black Black Black\nBlack Orange Black Black Black Black Pink Purple Gray Black\nPurple Black Black Black Black Black Black Pink Black Black\nBlack Pink Black Black Black Blue Black Gray Black Black\nBlack Black Black Yellow Orange Black Black Gray Green Black\nBlue Black Black Black Black Yellow Brown Purple Purple Black\n\nOutput:\nBlue Black Black Black Black Yellow Brown Purple Purple Black\nBlack Black Black Yellow Orange Black Black Gray Green Black\nBlack Pink Black Black Black Blue Black Gray Black Black\nPurple Black Black Black Black Black Black Pink Black Black\nBlack Orange Black Black Black Black Pink Purple Gray Black\nBlack Purple Green Black Black Gray Yellow Black Black Black\nBlack Black Red Blue Black Black Brown Purple Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Brown Black Black Green\nBlack Black Black Green Pink Black Gray Yellow Black Orange Blue\nGreen Black Gray Brown Black Black Black Orange Black Black Purple\nBlack Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Gray Black Black Black Blue\nBlue Black Black Pink Black Black Black Black Green Black Black\nBrown Black Black Pink Black Black Green Black Pink Black Black\n\nOutput:\nBrown Black Black Pink Black Black Green Black Pink Black Black\nBlue Black Black Pink Black Black Black Black Green Black Black\nBlack Black Black Black Blue Black Gray Black Black Black Blue\nBlack Black Black Red 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\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Brown Black Black Black Orange\nBlack Black Gray Black Black Black Black Black Yellow\nBlack Pink Black Black Black Black Black Purple Black\nBlack Black Black Black Blue Pink Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Orange Black\nBlack Black Black Black Black Gray Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Gray Yellow Black Black\nBlack Black Black Black Black Brown Black Orange Black\nBlack Black Brown Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black\nBlack Pink Black Black Black Black Black Purple Black\nBlack Black Gray Black Black Black Black Black Yellow\nBlack Black Black Black Brown Black Black Black Orange\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 Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Green Green Green Green Green Green Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Green Green Green Green Green Green Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Green Green Green Green Green Green Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Green Green Green Green Green Green Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Green Green Green Green Green Green Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Green Green Green Green Green Green Black Black\nYellow Yellow Green Green Green Green Green Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow\nYellow Yellow Green Green Green Green Green Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow\nBlack Black Green Green Green Green Green Green Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Green Green Green Green Green Green Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\n\nOutput:\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\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\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Green Green Green Green Green Green Yellow Yellow Black Black\nGreen Green Green Green Green Green Black Black Green Green Green Green Green Green Yellow Yellow Black Black\nGreen Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Green Green Green Green Green Green Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Green Green Green Green Green Green Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow\n\nOutput:\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Green Green Green Green Green Green\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Green Green Green Green Green Green\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black 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 Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black 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 Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nBlack Black Gray Gray\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBlue\n\n\nExample 2\nInput:\nGray Gray Gray Gray\nGray Gray Black Black\nGray Gray Black Black\nGray Gray Gray Gray\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nRed\n\n\nExample 3\nInput:\nGray Gray Gray Gray\nBlack Black Gray Gray\nBlack Black Gray Gray\nGray Gray Gray Gray\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nOrange\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray\nGray Black Black Gray\nGray Black Black Gray\nGray Gray Gray Gray\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black 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```\nBrown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Black Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Brown Brown Blue Blue Blue Black Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Brown Black Black Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange 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 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 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 Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Orange Orange Orange Orange 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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Orange Yellow Yellow Yellow Yellow Blue Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Purple Purple Orange Orange Orange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange Blue Blue Blue Orange Purple Purple Purple Orange Orange\nOrange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Yellow Yellow Yellow Yellow Orange Orange Brown Brown Blue Blue Blue Orange Purple Purple Purple Orange Orange\nOrange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Yellow Yellow Yellow Yellow Orange Orange Brown Brown Brown Brown Orange Orange Purple Purple Purple Orange Orange\nOrange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Yellow Yellow Yellow Yellow Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown 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 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 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 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 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 Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple 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 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 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 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 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 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 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 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 Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Brown Brown Blue Blue Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Red Red Black Blue Blue Blue Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Purple Purple Purple Black Black Black Black Black Black\n\nOutput:\nGreen 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\nGreen Green Green Yellow Yellow Yellow Yellow Green Green Green Green Brown Brown Green Green Green\nGreen Green Green Yellow Yellow Yellow Yellow Green Green Green Green Brown Brown Blue Blue Green\nGreen Green Green Yellow Yellow Yellow Yellow Green Green Red Red Green Blue Blue Blue Green\nGreen Green Green Yellow Yellow Yellow Yellow Green Green Red Red Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green\nGreen Green Green Green Green Orange Orange Purple Purple Purple Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Blue Blue Green Green Green Green Black Black\nBlack Black Black Brown Brown Brown Brown Brown Orange Orange Green Green Green Green Black Black\nBlack Black Black Brown Brown Brown Brown Brown Orange Orange Green Green Green Green Black Black\nBlack Black Black Brown Brown Brown Brown Brown Orange Orange Green Green Green Green Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Yellow Yellow Yellow Yellow Yellow 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 Blue Blue Blue Brown Brown Blue Blue Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Brown Brown Blue Blue Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Blue Blue Green Green Green Green Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Green Green Green Green Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Green Green Green Green Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Green Green Green Green Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Brown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Brown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Blue Blue Blue Pink Pink Pink Purple Black Black\nBlack Black Black Orange Orange Pink Blue Blue Blue Pink Pink Pink Purple Black Black\nBlack Black Black Orange Orange Pink Blue Orange Orange Orange Orange Orange Purple Black Black\nPurple Purple Purple Black Black Brown Blue Orange Orange Orange Orange Orange Black Black Black\nPurple Purple Purple Black Black Brown Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Pink Pink Pink Purple Purple Green Green Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Purple Purple Green Green Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Purple Purple Green Green Black Black Black Black Black Black\nBlack Gray Pink Pink Pink Purple Purple Green Green Black Black Black Black Black Black\nBlack Gray Gray Gray Black Brown Brown Green Green Black Black Black Black Black Black\nBlack Gray Gray Gray Black Brown Brown Brown Brown Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Orange Orange Pink Blue Blue Blue Pink Pink Pink Purple Pink Pink\nPink Pink Pink Orange Orange Pink Blue Blue Blue Pink Pink Pink Purple Pink Pink\nPink Pink Pink Orange Orange Pink Blue Orange Orange Orange Orange Orange Purple Pink Pink\nPurple Purple Purple Pink Pink Brown Blue Orange Orange Orange Orange Orange Pink Pink Pink\nPurple Purple Purple Pink Pink Brown Blue Blue Blue Blue Blue Pink Pink Pink Pink\nPink Pink Pink Pink Pink Purple Purple Green Green Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Purple Purple Green Green Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Purple Purple Green Green Pink Pink Pink Pink Pink Pink\nPink Gray Pink Pink Pink Purple Purple Green Green Pink Pink Pink Pink Pink Pink\nPink Gray Gray Gray Pink Brown Brown Green Green Pink Pink Pink Pink Pink Pink\nPink Gray Gray Gray Pink Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Yellow Black Black Black Black Black Yellow Black Black Black\nYellow Black Black Black Yellow Yellow Black Black Black Black Yellow Black\nYellow Black Yellow Black Black Black Black Yellow Yellow Black Black Yellow\nBlack Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black\nYellow Black Black Black Yellow Brown Black Black Yellow Black Black Yellow\nBlack Yellow Black Black Yellow Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Black Yellow Yellow Yellow Black Yellow Black\nYellow Black Black Black Black Yellow Black Black Yellow Yellow Black Yellow\nBlack Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Purple Purple Black Black Black Purple\nBlack Black Purple Black Purple Purple Purple Black Purple\nPurple Purple Black Purple Purple Black Black Purple Black\nPurple Black Purple Black Black Purple Purple Black Black\nPurple Purple Purple Purple Black Black Black Purple Black\nBlack Black Black Black Green Black Black Purple Purple\nBlack Black Purple Purple Black Black Black Black Purple\nBlack Black Black Purple Purple Purple Purple Black Purple\nBlack Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Purple Black Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nOrange Orange Black Black Black Orange Black Black Orange\nBlack Black Black Black Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Orange Orange\nOrange Black Black Orange Black Orange Orange Black Orange\nBlack Black Black Black Orange Black Black Black Orange\nBlack Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Gray Orange Black Black Black\nOrange Black Black Black Black Orange Orange Black Orange\nBlack Orange Orange Black Black Orange Black Orange Black\nBlack Orange Black Black Black Orange Black Black Black\nBlack Orange Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Orange\nBlack Orange Black Black Orange Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Black Green Black Green Green Black Green Black Black\nGreen Green Green Black Green Black Green Black Black Black Green\nGreen Black Green Black Black Green Green Green Black Black Green\nBlack Black Green Black Green Black Green Black Green Green Black\nBlack Green Black Black Green Green Green Black Green Black Green\nGreen Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black\nGreen Black Green Green Green Black Green Black Black Green Black\nGreen Black Green Green Green Black Black Black Black Black Green\nGreen Green Black Green Black Green Green Green Black Green Black\nBlack Green Black Black Black Green Black Green Black Black Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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 Red 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 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:\nPink Black Black Black Black Black Orange Black\nBlack Black Black Black Orange Purple Black Black\nPurple Blue Black Yellow Black Black Black Purple\nBlack Black Purple Purple Orange Black Black Black\nPurple Pink Black Orange Green Black Pink Black\nBlack Black Brown Black Black Black Black Black\nBrown Black Black Blue Black Black Black Black\nPurple Red Black Black Black Brown Purple Black\n\nOutput:\nPink Pink Pink Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black\nRed Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Green Black Orange Black Black\nBlack Blue Black Blue Orange Black Black\nBlack Black Black Pink Black Yellow Black\nBlack Black Black Black Brown Black Black\nBlack Blue Brown Pink Purple Black Black\nPink Black Black Pink Black Yellow Black\nBlack Black Black Blue Black Black Brown\n\nOutput:\nGreen Black Black Black\nOrange Orange Black Black\nBlue Blue Blue Blue\nPink Pink Pink Pink\nYellow Yellow Black Black\nBrown Brown Brown Black\nPurple Black Black Black\n\n\nExample 3\nInput:\nBlue Brown Black Black Black Black Pink\nOrange Black Black Yellow Black Black Black\nBlack Blue Black Black Black Pink Red\nPurple Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black\nBlack Black Brown Brown Black Orange Black\nYellow Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue\nBrown Brown Brown\nPink Pink Black\nOrange Orange Black\nYellow Yellow Black\nRed Black Black\nPurple Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Orange Orange\nBlack Black Purple Black Brown Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nGreen Black Orange Green Black Brown Black Black Black\nBlack Blue Black Black Blue Black Orange Black Green\nBlue Black Black Black Black Purple Black Black Green\nBlack Black Red Black Black Black Yellow Blue Yellow\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Black Orange Red Orange Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange\nPurple Purple Black Black Black Black\nBrown Brown Black Black Black Black\nBlue Blue Blue Blue Blue Blue\nGreen Green Green Green Black Black\nRed Red Red Black Black Black\nYellow Yellow Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black\nBlack Black Black\nBlack Green Black\nBlack Black Black\nBlack Black Black\nBlack Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nGray 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 Red Brown Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Brown Black Black Black Black\nBlack Black Black Black Black Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\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\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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink\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 Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink 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:\nRed Blue Green Yellow Yellow Yellow Yellow Yellow\nGreen Blue Blue Yellow Yellow Yellow Yellow Yellow\nBlue Red Blue Red Green Yellow Green Red\nRed Yellow Red Blue Blue Blue Yellow Blue\nYellow Green Green Yellow Red Green Blue Yellow\nYellow Yellow Blue Yellow Yellow Red Yellow Red\nYellow Yellow Yellow Red Blue Blue Green Red\nGreen Yellow Blue Green Blue Yellow Yellow Blue\n\nOutput:\nOrange Orange Green Yellow Yellow Yellow Yellow Yellow\nGreen Orange Green Green Yellow Yellow Yellow Orange\nOrange Orange Orange Orange Green Green Green Orange\nOrange Orange Orange Orange Orange Green Green Orange\nOrange Green Green Green Orange Green Green Green\nYellow Green Green Green Orange Orange Green Orange\nYellow Yellow Green Orange Green Orange Green Orange\nGreen Green Green Green Green Green Green Orange\n\n\nExample 2\nInput:\nYellow Yellow Yellow Blue Green Yellow Yellow\nRed Blue Yellow Red Yellow Red Blue\nRed Red Green Green Green Green Green\nGreen Red Red Red Red Yellow Yellow\nYellow Blue Red Blue Blue Green Red\nBlue Yellow Blue Red Red Blue Red\nBlue Yellow Yellow Green Red Green Yellow\n\nOutput:\nOrange Green Green Green Green Orange Green\nOrange Green Orange Orange Orange Orange Green\nRed Orange Green Green Green Green Green\nGreen Orange Red Orange Orange Orange Orange\nGreen Orange Orange Orange Orange Green Orange\nGreen Green Orange Orange Orange Orange Orange\nGreen Green Green Green Red Green Orange\n\n\nExample 3\nInput:\nBlue Green Blue Green Blue Green Blue\nGreen Blue Red Yellow Yellow Green Red\nYellow Yellow Red Yellow Green Red Red\nBlue Blue Red Blue Green Green Yellow\nYellow Green Blue Green Yellow Red Blue\nBlue Blue Blue Blue Red Yellow Red\nYellow Red Red Green Green Green Yellow\n\nOutput:\nBlue Green Orange Green Green Green Orange\nGreen Orange Orange Orange Green Green Orange\nGreen Green Orange Orange Green Red Orange\nGreen Orange Orange Green Green Green Orange\nGreen Green Orange Green Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange\nGreen Orange Orange Green Green Green Orange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Green Green Green Red Yellow Blue Green\nYellow Blue Blue Red Yellow Red Yellow Red Green\nGreen Yellow Red Yellow Green Green Yellow Yellow Red\nBlue Red Blue Blue Blue Blue Red Blue Green\nRed Yellow Yellow Blue Blue Green Green Red Red\nBlue Blue Blue Green Green Red Yellow Green Green\nBlue Red Blue Red Green Red Green Blue Yellow\nRed Red Green Yellow Red Red Blue Red Green\nRed Blue Blue Red Blue Red Yellow Blue Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Green Green Green Green Orange Green Green Green\nGreen Green Orange Orange Orange Orange Orange Orange Green\nGreen Green Orange Orange Green Green Orange Orange Orange\nOrange Orange Orange Green Blue Orange Orange Green Green\nOrange Orange Green Green Blue Green Green Orange Red\nOrange Green Green Green Green Orange Orange Green Green\nOrange Orange Orange Orange Green Red Green Green Green\nOrange Orange Green Orange Orange Orange Orange Orange Green\nOrange Orange Orange Orange Orange Orange Green Orange 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 Blue Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black\nBlue Black Blue Blue Blue Black Black\nBlue Black Black Blue Green Green Black\nBlack Blue Blue Blue Black Black Black\nGreen Black Blue Blue Green Black Black\nGreen Blue Blue Blue Green Black Black\nGreen Green Green Black Black Black Black\n\nOutput:\nBlack Black Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black\nBlue Black Blue Blue Blue Black Black\nBlue Black Black Blue Black Black Black\nBlack Blue Blue Blue Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Black\nBlack Green Green Black Black Black Blue Black\nBlack Blue Black Black Black Black Blue Blue\nBlack Blue Black Black Black Black Black Blue\nBlack Blue 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 Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue 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 Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Green Green\nBlack Black Black Black Black Black\nBlack Green Blue Black Black Green\nBlack Green Blue Blue Black Black\nBlack Black Black Blue Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Blue Black\nBlack Black Black Black Blue Blue\nBlack Black Black Black Black Blue\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
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