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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Purple Yellow Yellow Brown Orange Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Purple Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Pink Yellow Brown Purple Green Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\n\n\nExample 2\nInput:\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 Gray Green Green Green Orange Purple Green Green Green Green Green Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Brown Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Brown Green Green Red Red Red\nGreen Brown Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nGreen Green Green Green Purple Green Red Green Green Green Green Green Green Red Red Red\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 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 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 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\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 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 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 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 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 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 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 Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Purple Red Red Red Red Red\nGreen Green Green Green Green Gray Green Green Pink Red Red Red Red Red\nGreen Blue Brown Green Pink Green Purple Green Green Red Red Red Red Red\nGreen 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\nGreen 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\n\nOutput:\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Orange Pink Gray Purple Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Brown Gray Blue Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Blue Gray Gray Gray Yellow Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\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 Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
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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\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Green Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Yellow Black Black Black\nBlack Yellow Yellow Yellow Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Green Green Black Black Black\nBlack Green Green Black Black Black\nBlack Green Green Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Black\nBlack Black Black Black Black Black\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 Green Green Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Green Black Black\nBlack Green 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"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Yellow Black Black\nBlack Yellow Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Blue Blue Blue Black Black Red Red Red Black Black Black Red Red Red Black\nBlack Black Blue Blue Blue Black Black Red Red Red Black Black Black Red Red Red Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\n\nOutput:\nBlack Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Green Green Green Black Black Black Black Black\nBlack Black Red Red Red Black Black Green Green Green Black Red Red Red Black\nBlack Black Black Black Black Black Black Green Green Green Black Red Red Red Black\nBlack Red Red Red Blue Blue Blue Black Black Black Black Red Red Red Black\nBlack Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Red Red Red 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\nBlack Black Red Red Red Black Black Black Black Black Black Black Red Red Red\nBlack Black Red Red Red Black Black Black Black Black Black Black Red Red Red\nBlack Black Red Red Red Black Black Black Black Black Black Black Red Red Red\n\nOutput:\nRed Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Red Red Red Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Red Red Red Black Black Black Black\nRed Red Red Black Black Red Red Red Black Red Red Red Black Black Black Black\nRed Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nRed Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Green Green Green\nYellow Yellow Yellow Red Red Red Black Black Black Red Red Red Black Green Green Green\nYellow Yellow Yellow Red Red Red Black Black Black Red Red Red Black Black Black Black\nYellow Yellow Yellow Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\n\nOutput:\nBlack Black Black Black Black Red Red Red\nBlack Red Red Red Black Red Red Red\nBlack Red Red Red Black Red Red Red\nBlack Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red\nBlack Black Black Black Black Red Red Red\nRed Red Black Black Black Red Red Red\nRed 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 Black Green Green Green Black\nBlack Green Green Green Black Black Black Black Black Black Green Green Green Black\nBlack Green Green Green Red Red Red Black Black Black Green Green Green Black\nBlack Green Green Green Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Red Red Red Black Black Black Red Red Red Red Red Red\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow 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```\nRed Red Black Red Red Red Red Red Red\nRed Red Black Red Red Red Red Red Red\nRed Red Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red 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 Pink Pink Green Gray Brown Green Brown Green\nBrown Red Brown Green Orange Red Purple Brown Red Yellow\nBlue Brown Gray Yellow Green Red Red Purple Yellow Purple\nOrange Green Purple Purple Red Yellow Brown Pink Pink Purple\nGray Orange Yellow Pink Orange Brown Brown Pink Green Purple\nGreen Gray Purple Gray Green Yellow Blue Blue Purple Red\nPink Yellow Green Purple Red Pink Orange Green Gray Green\nRed Red Yellow Brown Green Orange Purple Gray Purple Brown\nGray Orange Blue Pink Brown Brown Gray Green Purple Blue\nYellow Red Purple Brown Orange Pink Gray Yellow Red Gray\n\nOutput:\nRed Red Pink Pink Green Gray Gray Green Gray Green\nGray Red Gray Green Orange Red Purple Gray Red Yellow\nBlue Gray Gray Yellow Green Red Red Purple Yellow Purple\nOrange Green Purple Purple Red Yellow Gray Pink Pink Purple\nGray Orange Yellow Pink Orange Gray Gray Pink Green Purple\nGreen Gray Purple Gray Green Yellow Blue Blue Purple Red\nPink Yellow Green Purple Red Pink Orange Green Gray Green\nRed Red Yellow Gray Green Orange Purple Gray Purple Gray\nGray Orange Blue Pink Gray Gray Gray Green Purple Blue\nYellow Red Purple Gray Orange Pink Gray Yellow Red Gray\n\n\nExample 2\nInput:\nRed Gray Pink Green Red Brown Purple Pink Blue Yellow\nPurple Gray Green Orange Purple Gray Green Purple Brown Blue\nBlue Green Brown Yellow Orange Red Green Pink Green Pink\nYellow Orange Brown Green Red Green Gray Purple Green Brown\nRed Orange Gray Pink Orange Green Orange Gray Gray Gray\nOrange Yellow Blue Gray Yellow Green Blue Red Gray Yellow\nGray Brown Pink Brown Purple Red Green Blue Gray Yellow\nRed Brown Orange Purple Gray Purple Purple Brown Pink Pink\nPurple Gray Red Purple Purple Red Red Blue Brown Orange\nOrange Brown Green Yellow Yellow Green Brown Pink Yellow Pink\n\nOutput:\nRed Gray Pink Gray Red Brown Purple Pink Blue Yellow\nPurple Gray Gray Orange Purple Gray Gray Purple Brown Blue\nBlue Gray Brown Yellow Orange Red Gray Pink Gray Pink\nYellow Orange Brown Gray Red Gray Gray Purple Gray Brown\nRed Orange Gray Pink Orange Gray Orange Gray Gray Gray\nOrange Yellow Blue Gray Yellow Gray Blue Red Gray Yellow\nGray Brown Pink Brown Purple Red Gray Blue Gray Yellow\nRed Brown Orange Purple Gray Purple Purple Brown Pink Pink\nPurple Gray Red Purple Purple Red Red Blue Brown Orange\nOrange Brown Gray Yellow Yellow Gray Brown Pink Yellow Pink\n\n\nExample 3\nInput:\nYellow Pink Pink Gray Red Brown Yellow Yellow Purple Gray\nPink Pink Green Yellow Green Gray Red Green Red Purple\nPink Green Brown Gray Yellow Gray Pink Orange Blue Orange\nBlue Purple Orange Brown Pink Purple Red Brown Green Red\nPink Green Orange Purple Blue Red Purple Gray Orange Blue\nOrange Brown Pink Green Yellow Pink Red Orange Gray Purple\nBlue Green Purple Purple Orange Purple Orange Blue Yellow Yellow\nBlue Pink Orange Blue Purple Orange Purple Orange Green Brown\nBrown Brown Brown Red Yellow Purple Yellow Brown Gray Blue\nRed Brown Green Red Green Blue Yellow Brown Green Red\n\nOutput:\nYellow Pink Pink Gray Gray Brown Yellow Yellow Purple Gray\nPink Pink Green Yellow Green Gray Gray Green Gray Purple\nPink Green Brown Gray Yellow Gray Pink Orange Blue Orange\nBlue Purple Orange Brown Pink Purple Gray Brown Green Gray\nPink Green Orange Purple Blue Gray Purple Gray Orange Blue\nOrange Brown Pink Green Yellow Pink Gray Orange Gray Purple\nBlue Green Purple Purple Orange Purple Orange Blue Yellow Yellow\nBlue Pink Orange Blue Purple Orange Purple Orange Green Brown\nBrown Brown Brown Gray Yellow Purple Yellow Brown Gray Blue\nGray Brown Green Gray Green Blue Yellow Brown Green Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Purple Gray Purple Gray Yellow Gray Blue Red Orange\nBlue Pink Orange Red Red Yellow Brown Blue Green Red\nGreen Gray Red Pink Pink Pink Brown Yellow Blue Orange\nRed Gray Brown Red Yellow Gray Purple Orange Green Yellow\nGray Orange Pink Yellow Blue Orange Brown Green Gray Purple\nYellow Gray Gray Yellow Red Gray Gray Pink Pink Green\nOrange Gray Yellow Red Pink Blue Green Orange Orange Orange\nBlue Red Gray Purple Blue Red Blue Yellow Green Gray\nBlue Green Yellow Red Brown Purple Pink Pink Blue Orange\nRed Purple Pink Gray Blue Blue Orange Purple Brown 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```\nBrown Purple Gray Purple Gray Yellow Gray Blue Red Gray\nBlue Pink Gray Red Red Yellow Brown Blue Green Red\nGreen Gray Red Pink Pink Pink Brown Yellow Blue Gray\nRed Gray Brown Red Yellow Gray Purple Gray Green Yellow\nGray Gray Pink Yellow Blue Gray Brown Green Gray Purple\nYellow Gray Gray Yellow Red Gray Gray Pink Pink Green\nGray Gray Yellow Red Pink Blue Green Gray Gray Gray\nBlue Red Gray Purple Blue Red Blue Yellow Green Gray\nBlue Green Yellow Red Brown Purple Pink Pink Blue Gray\nRed Purple Pink Gray Blue Blue Gray Purple Brown Red\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink 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\nBlack Black 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:\nPink 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\nPink 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\nPink 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\nPink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink\nPink 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\nPink 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\nPink 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\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 Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 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 Black Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black Black 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\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 Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink\nPink 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\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Pink Pink\nPink Purple Purple Purple Purple Purple Pink\nPink Purple Purple Purple Purple Purple Pink\nPink Purple Purple Purple Purple Purple Pink\nPink Purple Purple Purple Purple Purple Pink\nPink Purple Purple Purple Purple Purple Pink\nPink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Gray Gray Gray Gray Gray Orange\nOrange Gray Gray Gray Gray Gray Orange\nOrange Gray Gray Gray Gray Gray Orange\nOrange Gray Gray Gray Gray Gray Orange\nOrange Gray Gray Gray Gray Gray Orange\nOrange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Orange Orange Orange Orange Orange Orange Gray\nGray Orange Orange Orange Orange Orange Orange Orange Gray\nGray Orange Orange Orange Orange Orange Orange Orange Gray\nGray Orange Orange Orange Orange Orange Orange Orange Gray\nGray Orange Orange Orange Orange Orange Orange Orange Gray\nGray Orange Orange Orange Orange Orange Orange Orange Gray\nGray Orange Orange Orange Orange Orange Orange Orange 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"
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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 Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nOrange Orange Orange 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\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black\nOrange Orange Orange 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\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange\n\nOutput:\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Brown Brown Brown Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\nOutput:\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\n\nExample 2\nInput:\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Green Green Green\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Green Green Green\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple\n\nOutput:\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Green Green Green\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Green Green Green\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple\n\n\nExample 3\nInput:\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Purple Purple Purple 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\nBlack Black Black Purple Purple Purple 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\nBlack Black Black Purple Purple Purple 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\nBlack Black Black Purple Purple Purple Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\n\nOutput:\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black\nBlack Black Black Pink Pink Pink Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Pink Pink Pink Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Pink Pink Pink Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Black Black Black Black Black Black Red Red Red\nBrown Brown Brown Black Black Black Black Black Black Red Red Red\nBrown Brown Brown Black Black Black Black Black Black Red Red Red\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue 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\nPurple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nPurple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nPurple Purple Purple Black Black Black Black Black Black 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```\nBrown Brown Brown Black Black Black Black Black Black Red Red Red\nBrown Brown Brown Black Black Black Black Black Black Red Red Red\nBrown Brown Brown Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nPurple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nPurple Purple Purple Black Black Black Black Black Black Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Black Black Purple Purple Black Black Purple\nBlack Black Purple Purple Black Black Purple Purple Black\nBlack Black Purple Purple Black Black Purple Purple Black\nPurple Purple Black Black Purple Purple Black Black Purple\nPurple Purple Black Black Purple Purple Black Black Purple\nBlack Black Purple Purple Black Black Purple Purple Black\nBlack Black Purple Purple Black Black Purple Purple Black\n\nOutput:\nBlack Black Purple Purple Black Black Purple Purple Black\nPurple Purple Black Black Purple Purple Black Black Purple\nPurple Purple Black Black Purple Purple Black Black Purple\nBlack Black Purple Purple Black Black Purple Purple Black\nBlack Black Purple Purple Black Black Purple Purple Black\nPurple Purple Black Black Purple Purple Black Black Purple\nPurple Purple Black Black Purple Purple Black Black Purple\n\n\nExample 2\nInput:\nBlack Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple Black Black\n\nOutput:\nPurple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple\n\n\nExample 3\nInput:\nPurple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple Black Black\n\nOutput:\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple Black Black\nPurple Purple 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 Blue Black Black\nBlack Black Blue Black Black\nBlack Black Blue Blue Blue\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Green Black Black\nBlack Black Green Black Black\nBlack Black Green Green Green\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Blue Black\nBlack Black Blue Blue Blue\nBlack Black Black Blue Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Green Black\nBlack Black Green Green Green\nBlack Black Black Green Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Brown Black\nBlack Black Brown Blue Brown\nBlack Black Black Brown Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Green Black\nBlack Black Green Green Green\nBlack Black Black Green Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Orange Purple Purple\nBlack Black Black Purple Black\nBlack Black Black Blue Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Green Green\nBlack Black Black Green Black\nBlack Black Black Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Brown Black Black Black\nBlack Black Black Pink Black Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Purple Black Black Black Brown Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Blue Black Black\nBlack Purple Purple Purple Black Black Blue Blue Blue Black\nBlack Black Purple Black Black Black Black Blue Black Black\n\nOutput:\nBlack Pink Black Green Black Black Black Black Black Black\nPink Pink Pink Green Brown Black Green Black Black Black\nBlack Pink Black Brown Brown Brown Green Green Black Black\nBlack Black Brown Brown Brown Brown Brown Green Green Black\nBlack Black Black Brown Brown Brown Green Green Black Black\nBlack Purple Blue Black Brown Black Green Black Black Black\nPurple Purple Purple Blue Black Black Black Black Black Black\nPurple Purple Purple Purple Blue Black Black Blue Black Black\nPurple Purple Purple Blue Black Black Blue Blue Blue Black\nBlack Purple Blue Black Black Black Black Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Orange Black Black Black Black\nBlack Blue Blue Blue Orange Orange Orange Black Black Black\nBlack Black Blue Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\n\nOutput:\nBlack Black Purple Blue Black Black Black Black Black Black\nBlack Purple Purple Purple Blue Black Black Black Black Black\nBlack Black Purple Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Orange Black Black Black Black\nBlack Blue Blue Blue Orange Orange Orange Black Black Black\nBlack Black Blue Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Yellow Black Black Black Red Red Red Black\nBlack Yellow Yellow Yellow Black Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Black Red Red Red Black\nBlack Yellow Yellow Yellow Black Black Black Red Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Yellow Blue Black Black Red Red Red Blue Black\nYellow Yellow Yellow Blue Red Red Red Red Red Blue\nYellow Yellow Yellow Yellow Blue Red Red Red Blue Black\nYellow Yellow Yellow Blue Black Black Red Blue Black Black\nBlack Yellow Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Pink Black Black Black Brown Brown Brown Black Black\nPink Pink Pink Black Black Black Brown Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Blue Black Black Black\nBlack Pink Black Black Brown Brown Brown Blue Black Black\nPink Pink Pink Black Black Brown Blue Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Pink Black Black\nBlack Pink Black Black Black\nGreen Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nRed Black Black Black Black\nBlack Red Black Black Black\nBlack Black Red Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Red Black Black\nGray Black Black Blue Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Red Black Black\nBlack Red Black Black Black\nBlack Black Black Black Black\nBlack Black Gray Black Black\n\n\nExample 3\nInput:\nYellow Black Black Black Black\nBlack Black Red Black Black\nBlack Black Black Black Black\nBlack Black Black Black Green\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Red Black\nBlack Black Black Black Black\nBlack Red Black Black Black\nBlack Black Black Black Black\nRed Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Black Black Gray\nBlack Black Brown Black Black\nGray Black Black Black Black\nBlack Black Black Black Black\nBlack 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```\nGray Black Black Black Red\nBlack Black Black Black Black\nBlack Brown Black Black Black\nBlack Black Black Black Black\nBrown 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red 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\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue 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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red 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 Pink Pink Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue 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 Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red 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 Blue Blue Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Green Green 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue 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\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black\nBlack 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 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black\nBlack Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Black Black Black Pink\nBlack Black Black Pink Black Black Pink\nBlack Black Black Black Pink Black Pink\nBlack Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Pink Pink\nBlack Black Black Black Pink Black Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black\n\nOutput:\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nOrange Black Black Black Orange Black Black\nBlack Orange Black Black Orange Black Black\nBlack Black Orange Black Orange Black Orange\nBlack Black Black Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Black Black Black Gray Black Black Black\nBlack Black Gray Black Black Gray Black Black Gray\nBlack Black Black Gray Black Gray Black Gray Black\nBlack Black Black Black Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Black Black\nBlack Black Black Gray Black Gray Black Gray Black\nBlack Black Gray Black Black Gray Black Black Gray\nBlack Gray Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black 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 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 Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink 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 Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Red Blue Gray Red Purple Red Brown Red Gray Green Orange Orange\nPurple Yellow Orange Orange Green Orange Blue Gray Gray Brown Purple Blue Pink\nRed Pink Yellow Green Purple Purple Red Pink Pink Blue Yellow Pink Yellow\nYellow Green Purple Yellow Purple Orange Purple Blue Orange Purple Gray Gray Pink\nBlue Green Orange Blue Red Red Orange Blue Red Purple Brown Purple Brown\nOrange Red Yellow Purple Yellow Yellow Green Yellow Brown Yellow Purple Orange Purple\nPurple Purple Brown Brown Gray Red Brown Purple Red Yellow Brown Yellow Gray\nOrange Blue Yellow Blue Red Blue Orange Blue Brown Gray Orange Purple Pink\nGreen Pink Green Yellow Gray Red Pink Blue Red Yellow Yellow Red Orange\nBlue Purple Brown Gray Purple Gray Pink Orange Purple Pink Yellow Orange Brown\nOrange Pink Purple Green Green Green Green Purple Purple Blue Green Orange Green\nPurple Pink Gray Green Green Green Green Red Orange Green Orange Green Green\nBlue Yellow Blue Green Green Green Green Purple Pink Purple Purple Orange Orange\nPink Yellow Gray Green Green Green Green Green Red Brown Gray Blue Orange\nOrange Purple Brown Purple Green Pink Green Green Orange Purple Pink Purple Brown\nOrange Pink Gray Blue Yellow Red Brown Blue Brown Blue Pink Green Orange\nPink Blue Gray Green Red Brown Brown Brown Blue Yellow Purple Green Gray\n\nOutput:\nBrown Red Blue Gray Red Purple Red Brown Red Gray Green Orange Orange\nPurple Yellow Orange Orange Green Orange Blue Gray Gray Brown Purple Blue Pink\nRed Pink Yellow Green Purple Purple Red Pink Pink Blue Yellow Pink Yellow\nYellow Green Purple Yellow Purple Orange Purple Blue Orange Purple Gray Gray Pink\nBlue Green Orange Blue Red Red Orange Blue Red Purple Brown Purple Brown\nOrange Red Yellow Purple Yellow Yellow Green Yellow Brown Yellow Purple Orange Purple\nPurple Purple Brown Brown Gray Red Brown Purple Red Yellow Brown Yellow Gray\nOrange Blue Yellow Blue Red Blue Orange Blue Brown Gray Orange Purple Pink\nGreen Pink Green Yellow Gray Red Pink Blue Red Yellow Yellow Red Orange\nBlue Purple Brown Gray Purple Gray Pink Orange Purple Pink Yellow Orange Brown\nOrange Pink Purple Blue Blue Blue Blue Blue Purple Blue Green Orange Green\nPurple Pink Gray Blue Blue Blue Blue Blue Orange Green Orange Green Green\nBlue Yellow Blue Blue Blue Blue Blue Blue Pink Purple Purple Orange Orange\nPink Yellow Gray Blue Blue Blue Blue Blue Red Brown Gray Blue Orange\nOrange Purple Brown Blue Blue Blue Blue Blue Orange Purple Pink Purple Brown\nOrange Pink Gray Blue Yellow Red Brown Blue Brown Blue Pink Green Orange\nPink Blue Gray Green Red Brown Brown Brown Blue Yellow Purple Green Gray\n\n\nExample 2\nInput:\nPink Orange Green Red Orange Blue Orange Pink Gray Orange Brown Orange\nGray Green Yellow Brown Purple Blue Green Orange Pink Yellow Brown Yellow\nRed Orange Yellow Yellow Green Purple Red Orange Gray Blue Purple Blue\nYellow Pink Brown Purple Blue Brown Red Brown Yellow Purple Purple Red\nGreen Blue Purple Green Gray Green Brown Brown Purple Purple Brown Green\nPurple Orange Blue Brown Purple Green Green Purple Pink Pink Pink Pink\nPink Red Orange Yellow Pink Red Blue Purple Orange Orange Orange Blue\nBrown Orange Green Blue Green Pink Pink Purple Red Blue Blue Gray\nGreen Blue Blue Red Purple Green Yellow Red Pink Green Orange Red\nYellow Orange Blue Blue Blue Purple Pink Yellow Orange Red Brown Orange\nGray Blue Pink Red Red Green Green Green Green Pink Pink Brown\nPink Blue Gray Orange Gray Green Green Green Green Blue Green Blue\nBlue Gray Orange Pink Brown Green Green Green Green Purple Green Purple\nGray Yellow Pink Blue Green Green Green Green Green Red Yellow Brown\nBrown Yellow Yellow Pink Purple Yellow Blue Purple Orange Purple Yellow Gray\n\nOutput:\nPink Orange Green Red Orange Blue Orange Pink Gray Orange Brown Orange\nGray Green Yellow Brown Purple Blue Green Orange Pink Yellow Brown Yellow\nRed Orange Yellow Yellow Green Purple Red Orange Gray Blue Purple Blue\nYellow Pink Brown Purple Blue Brown Red Brown Yellow Purple Purple Red\nGreen Blue Purple Green Gray Green Brown Brown Purple Purple Brown Green\nPurple Orange Blue Brown Purple Green Green Purple Pink Pink Pink Pink\nPink Red Orange Yellow Pink Red Blue Purple Orange Orange Orange Blue\nBrown Orange Green Blue Green Pink Pink Purple Red Blue Blue Gray\nGreen Blue Blue Red Purple Green Yellow Red Pink Green Orange Red\nYellow Orange Blue Blue Blue Purple Pink Yellow Orange Red Brown Orange\nGray Blue Pink Red Red Blue Blue Blue Blue Pink Pink Brown\nPink Blue Gray Orange Gray Blue Blue Blue Blue Blue Green Blue\nBlue Gray Orange Pink Brown Blue Blue Blue Blue Purple Green Purple\nGray Yellow Pink Blue Green Blue Blue Blue Blue Red Yellow Brown\nBrown Yellow Yellow Pink Purple Blue Blue Blue Blue Purple Yellow Gray\n\n\nExample 3\nInput:\nPurple Gray Green Green Green Green Green Orange Green Purple Orange Gray\nRed Orange Green Green Green Green Blue Green Blue Brown Green Brown\nPink Yellow Green Green Green Green Green Gray Green Yellow Purple Yellow\nBrown Pink Green Green Green Green Purple Blue Yellow Brown Blue Yellow\nBlue Orange Brown Brown Pink Orange Purple Green Green Pink Blue Red\nGray Orange Red Gray Blue Blue Red Blue Blue Blue Brown Green\nPink Gray Brown Yellow Yellow Green Blue Gray Yellow Gray Green Blue\nGreen Blue Red Orange Green Gray Pink Pink Yellow Green Orange Orange\nPurple Purple Orange Yellow Pink Brown Purple Brown Blue Gray Gray Purple\nYellow Purple Gray Blue Yellow Purple Pink Yellow Orange Blue Red Pink\nRed Red Gray Orange Green Blue Yellow Pink Yellow Blue Yellow Orange\nGray Green Gray Green Green Yellow Brown Pink Brown Purple Pink Gray\nGray Red Orange Orange Purple Purple Yellow Purple Brown Orange Purple Pink\nPurple Pink Purple Orange Green Gray Green Pink Pink Purple Orange Blue\nGreen Purple Pink Green Gray Yellow Blue Green Purple Red Gray Purple\nBlue Red Green Green Purple Orange Green Red Blue Brown Pink Yellow\n\nOutput:\nPurple Gray Green Blue Blue Blue Blue Orange Green Purple Orange Gray\nRed Orange Green Blue Blue Blue Blue Green Blue Brown Green Brown\nPink Yellow Green Blue Blue Blue Blue Gray Green Yellow Purple Yellow\nBrown Pink Green Blue Blue Blue Blue Blue Yellow Brown Blue Yellow\nBlue Orange Brown Blue Blue Blue Blue Green Green Pink Blue Red\nGray Orange Red Gray Blue Blue Red Blue Blue Blue Brown Green\nPink Gray Brown Yellow Yellow Green Blue Gray Yellow Gray Green Blue\nGreen Blue Red Orange Green Gray Pink Pink Yellow Green Orange Orange\nPurple Purple Orange Yellow Pink Brown Purple Brown Blue Gray Gray Purple\nYellow Purple Gray Blue Yellow Purple Pink Yellow Orange Blue Red Pink\nRed Red Gray Orange Green Blue Yellow Pink Yellow Blue Yellow Orange\nGray Green Gray Green Green Yellow Brown Pink Brown Purple Pink Gray\nGray Red Orange Orange Purple Purple Yellow Purple Brown Orange Purple Pink\nPurple Pink Purple Orange Green Gray Green Pink Pink Purple Orange Blue\nGreen Purple Pink Green Gray Yellow Blue Green Purple Red Gray Purple\nBlue Red Green Green Purple Orange Green Red Blue Brown Pink Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBrown Blue Yellow Pink Brown Blue Gray Orange Orange Orange Pink Red Brown Pink\nBlue Yellow Brown Green Green Green Brown Green Blue Brown Green Pink Orange Gray\nGreen Green Green Green Green Gray Green Orange Gray Yellow Green Brown Pink Green\nBrown Pink Purple Yellow Red Orange Pink Red Purple Blue Brown Red Pink Pink\nGray Green Pink Orange Yellow Gray Red Brown Orange Pink Orange Purple Pink Brown\nOrange Red Brown Green Green Green Green Yellow Green Blue Purple Orange Purple Gray\nPurple Pink Red Green Green Green Green Blue Purple Yellow Purple Blue Brown Brown\nPink Yellow Orange Green Green Green Green Yellow Green Gray Yellow Orange Yellow Blue\nRed Orange Purple Green Green Green Green Orange Pink Gray Blue Yellow Blue Pink\nOrange Orange Orange Orange Green Blue Brown Brown Red Red Green Purple Orange Gray\nGray Pink Purple Yellow Purple Gray Orange Yellow Yellow Purple Red Green Orange Pink\nGray Blue Orange Brown Red Red Pink Gray Gray Blue Purple Gray Pink Gray\nBlue Orange Red Blue Gray Pink Gray Gray Brown Red Purple Orange Gray Pink\nRed Yellow Yellow Blue Gray Green Purple Pink Gray Yellow Brown Red Blue Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Blue Yellow Pink Brown Blue Gray Orange Orange Orange Pink Red Brown Pink\nBlue Yellow Brown Green Green Green Brown Green Blue Brown Green Pink Orange Gray\nGreen Green Green Green Green Gray Green Orange Gray Yellow Green Brown Pink Green\nBrown Pink Purple Yellow Red Orange Pink Red Purple Blue Brown Red Pink Pink\nGray Green Pink Orange Yellow Gray Red Brown Orange Pink Orange Purple Pink Brown\nOrange Red Blue Blue Blue Blue Blue Yellow Green Blue Purple Orange Purple Gray\nPurple Pink Blue Blue Blue Blue Blue Blue Purple Yellow Purple Blue Brown Brown\nPink Yellow Blue Blue Blue Blue Blue Yellow Green Gray Yellow Orange Yellow Blue\nRed Orange Blue Blue Blue Blue Blue Orange Pink Gray Blue Yellow Blue Pink\nOrange Orange Orange Orange Green Blue Brown Brown Red Red Green Purple Orange Gray\nGray Pink Purple Yellow Purple Gray Orange Yellow Yellow Purple Red Green Orange Pink\nGray Blue Orange Brown Red Red Pink Gray Gray Blue Purple Gray Pink Gray\nBlue Orange Red Blue Gray Pink Gray Gray Brown Red Purple Orange Gray Pink\nRed Yellow Yellow Blue Gray Green Purple Pink Gray Yellow Brown Red Blue Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Purple Black Purple Black Black Black Black Black Purple Black Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Gray Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Purple Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Green Black Green Black Gray Black Gray Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Green Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange 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 Black Black 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 Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Black Purple Black Black Black Black Black Purple Black Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Gray Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Purple Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Green Black Green Black Gray Black Gray Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Green Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black Pink Yellow Pink Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Pink Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Yellow Pink Yellow Black\nBlack Black Black Black Black Black Black Blue 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 Pink Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nPurple Black Purple Black Pink Black Pink Black Black Black Black Black Black Black Pink Brown Pink Brown Black Black\nBlack Purple Black Black Black Pink Black Black Black Black Black Black Blue Black Black Black Brown Black Black Black\nPurple Black Purple Black Pink Black Pink Black Black Black Black Black Black Black Black Brown Yellow Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Brown Black Brown Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Blue Purple Black Black Black\nBlack Black Black Brown Black Brown Black Black Black Black Black Black Black Black Yellow Blue Black Blue Black Black\nBlack Blue Black Blue Brown Black Black Black Black Black Black Black Black Black Purple Black Blue Black Brown Black\nBlack Black Blue Brown Black Brown Black Black Brown Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown 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 Pink Black Pink Black Black Black Pink Yellow Pink Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Pink Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Yellow Pink Yellow Black\nBlack Black Black Black Black Black Black Blue 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 Pink Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nPurple Black Purple Black Pink Black Pink Black Black Black Black Black Black Black Pink Brown Pink Brown Black Black\nBlack Purple Black Black Black Pink Black Black Black Black Black Black Blue Black Black Black Brown Black Black Black\nPurple Black Purple Black Pink Black Pink Black Black Black Black Black Black Black Black Brown Yellow Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Brown Black Brown Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Blue Purple Black Black Black\nBlack Black Black Brown Black Brown Black Black Black Black Black Black Black Black Yellow Blue Black Blue Black Black\nBlack Blue Black Blue Brown Black Black Black Black Black Black Black Black Black Purple Black Blue Black Brown Black\nBlack Black Blue Brown Black Brown Black Black Brown Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Brown Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Purple Black Black Gray Black Black Purple Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Brown Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Purple Brown Brown Brown Brown\nBlack Black Brown Black Brown Purple Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Brown Black Black Black Black Black Orange Purple Orange Purple Black Black Black Brown Black Brown Black\nBlack Black Brown Black Brown Black Black Black Black Black Orange Purple Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Purple Black Orange Purple Orange Purple Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Purple Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Purple Black Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black Black\nBlack Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Gray Black Brown Brown Black Brown Black Black\nBlack Purple Black Purple Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Purple Black Black Gray Black Black Purple Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Brown Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Purple Brown Brown Brown Brown\nBlack Black Brown Black Brown Purple Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Brown Black Black Black Black Black Orange Purple Orange Purple Black Black Black Brown Black Brown Black\nBlack Black Brown Black Brown Black Black Black Black Black Orange Purple Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Purple Black Orange Purple Orange Purple Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Purple Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Purple Black Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black Black\nBlack Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Gray Black Brown Brown Black Brown Black Black\nBlack Purple Black Purple Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Brown Black Red Black Red Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Red Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Brown Black Brown Black Red Black Red 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\nBlack Black Black Black Black Black Black Brown Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Brown Black Brown Black Black Black Black Black Black Gray Black Gray Black\nBlack Red Black Pink Black Pink Brown Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Red Black Blue Black Black Black Black Black Black Blue Black Blue Black Black Gray Black Gray Black\nBlack Red Black Red Black Black Black Black Black Black Black Black Pink Black Black Red Black Red Black Black\nBlack Black Blue Black Blue Brown Black Brown Black Black Black Blue Black Blue Black Black Red Black Black Black\nBlack Blue Black Blue Black Black Brown Black Black Red Black Red Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Brown Black Brown Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Brown Black Red Black Red Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Red Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Brown Black Brown Black Red Black Red 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\nBlack Black Black Black Black Black Black Brown Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Brown Black Brown Black Black Black Black Black Black Gray Black Gray Black\nBlack Red Black Pink Black Pink Brown Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Red Black Blue Black Black Black Black Black Black Blue Black Blue Black Black Gray Black Gray Black\nBlack Red Black Red Black Black Black Black Black Black Black Black Blue Black Black Red Black Red Black Black\nBlack Black Blue Black Blue Brown Black Brown Black Black Black Blue Black Blue Black Black Red Black Black Black\nBlack Blue Black Blue Black Black Brown Black Black Red Black Red Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Brown Black Brown Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Blue Black Purple Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Green Black 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\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Black Black Black\nBlack Black 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Black Gray Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Green Black Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Black Yellow Black Black\nBlack Black Black Brown Black Black Black\nBlack Black Purple Black Yellow 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 Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Red Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black\nBlack Black Black 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 Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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\nPurple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Black Black Black\nPurple 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\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 Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Orange Orange 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\n\nOutput:\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 Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink 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:\nGreen Orange Purple Orange Brown Pink\nGreen Green Orange Gray Green Brown\nPurple Orange Yellow Orange Green Purple\nYellow Blue Purple Blue Orange Gray\nGray Purple Red Pink Orange Pink\nBrown Green Orange Gray Brown Orange\n\nOutput:\nBlue Brown Gray Orange Green Yellow\nPink Orange Pink Red Purple Gray\nGray Orange Blue Purple Blue Yellow\nPurple Green Orange Yellow Orange Purple\nBrown Green Gray Orange Green Green\nRed Brown Orange Purple Orange Green\n\n\nExample 2\nInput:\nOrange Brown Blue Blue Yellow\nBlue Purple Purple Gray Blue\nOrange Purple Brown Red Red\nBrown Brown Gray Orange Green\nPink Pink Brown Brown Pink\n\nOutput:\nBlue Brown Brown Pink Yellow\nGreen Orange Gray Brown Brown\nRed Red Brown Purple Orange\nBlue Gray Purple Purple Blue\nRed Blue Blue Brown Green\n\n\nExample 3\nInput:\nOrange Green Yellow Purple Brown\nGray Orange Orange Pink Yellow\nPink Gray Green Orange Yellow\nPurple Red Purple Gray Red\nBrown Yellow Blue Pink Green\nYellow Pink Blue Blue Blue\nBrown Purple Brown Purple Orange\n\nOutput:\nBlue Purple Brown Purple Yellow\nBlue Blue Blue Pink Yellow\nGreen Pink Blue Yellow Brown\nRed Gray Purple Red Purple\nYellow Orange Green Gray Pink\nYellow Pink Orange Orange Gray\nRed Purple Yellow Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPink Orange Red Yellow Brown Blue Pink\nGreen Yellow Pink Blue Orange Pink Gray\nGreen Purple Brown Orange Pink Gray Green\nBrown Green Red Orange Pink Pink Pink\nOrange Gray Purple Pink Pink Gray Brown\nPurple Orange Orange Gray Purple Pink Gray\nPurple Red Blue Blue Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Brown Brown Blue Blue Red Yellow\nGray Pink Purple Gray Orange Orange Purple\nBrown Gray Pink Pink Purple Gray Orange\nPink Pink Pink Orange Red Green Brown\nGreen Gray Pink Orange Brown Purple Green\nGray Pink Orange Blue Pink Yellow Green\nRed Blue Brown Yellow Red 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:\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nGreen Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Black Black Black Orange Orange Orange Green Green Green Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Black Black Black Orange Orange Orange Green Green Green Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Black Black Black Orange Orange Orange Green Green Green Red Red Red\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Red Red Red Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Red Red Red Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Red Red Red Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Orange Orange Orange Green Green Green Green Green Green\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Orange Orange Orange Green Green Green Green Green Green\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Orange Orange Orange Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Green Green Green Blue Blue Blue Red Red Red Black Black Black Red Red Red Red Red Red Green Green Green\nBlue Blue Blue Green Green Green Blue Blue Blue Red Red Red Black Black Black Red Red Red Red Red Red Green Green Green\nBlue Blue Blue Green Green Green Blue Blue Blue Red Red Red Black Black Black Red Red Red Red Red Red Green Green Green\nYellow Yellow Yellow Green Green Green Blue Blue Blue Orange Orange Orange Black Black Black Blue Blue Blue Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Green Green Green Blue Blue Blue Orange Orange Orange Black Black Black Blue Blue Blue Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Green Green Green Blue Blue Blue Orange Orange Orange Black Black Black Blue Blue Blue Yellow Yellow Yellow Green Green Green\n\nOutput:\nRed Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Green Green Green Red Red Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Green Green Green Red Red Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Green Green Green Red Red Red Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Green Green Green Black Black Black Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange\nBlue Blue Blue Red Red Red Blue Blue Blue Green Green Green Black Black Black Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange\nBlue Blue Blue Red Red Red Blue Blue Blue Green Green Green Black Black Black Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange\nGreen Green Green Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red\nGreen Green Green Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red\nGreen Green Green Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red\nRed Red Red Green Green Green Green Green Green Blue Blue Blue Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nRed Red Red Green Green Green Green Green Green Blue Blue Blue Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nRed Red Red Green Green Green Green Green Green Blue Blue Blue Black Black Black Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Red Red Red Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue Blue\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Black Black Black Red Red Red Green Green Green Blue Blue Blue\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Black Black Black Red Red Red Green Green Green Blue Blue Blue\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Black Black Black Red Red Red Green Green Green Blue Blue Blue\n\n\nExample 2\nInput:\nOrange Orange Orange Green Green Green Blue Blue Blue Orange Orange Orange Black Black Black Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Green Green Green Blue Blue Blue Orange Orange Orange Black Black Black Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Green Green Green Blue Blue Blue Orange Orange Orange Black Black Black Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Black Black Black Green Green Green Red Red Red Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Black Black Black Green Green Green Red Red Red Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Black Black Black Green Green Green Red Red Red Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Black Black Black Green Green Green Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Black Black Black Green Green Green Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Black Black Black Green Green Green Yellow Yellow Yellow Blue Blue Blue\nGreen Green Green Yellow Yellow Yellow Red Red Red Green Green Green Black Black Black Green Green Green Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Red Red Red Green Green Green Black Black Black Green Green Green Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Red Red Red Green Green Green Black Black Black Green Green Green Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Blue Blue Blue Red Red Red Black Black Black Yellow Yellow Yellow Orange Orange Orange Red Red Red\nBlue Blue Blue Green Green Green Blue Blue Blue Red Red Red Black Black Black Yellow Yellow Yellow Orange Orange Orange Red Red Red\nBlue Blue Blue Green Green Green Blue Blue Blue Red Red Red Black Black Black Yellow Yellow Yellow Orange Orange Orange Red Red Red\nOrange Orange Orange Red Red Red Yellow Yellow Yellow Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nOrange Orange Orange Red Red Red Yellow Yellow Yellow Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nOrange Orange Orange Red Red Red Yellow Yellow Yellow Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nOrange Orange Orange Green Green Green Orange Orange Orange Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Green Green Green Orange Orange Orange Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Green Green Green Orange Orange Orange Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Black Black Black Blue Blue Blue Orange Orange Orange Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Black Black Black Blue Blue Blue Orange Orange Orange Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Black Black Black Blue Blue Blue Orange Orange Orange Red Red Red\nGreen Green Green Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black Blue Blue Blue Green Green Green Red Red Red\nGreen Green Green Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black Blue Blue Blue Green Green Green Red Red Red\nGreen Green Green Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black Blue Blue Blue Green Green Green Red Red Red\nBlue Blue Blue Green Green Green Orange Orange Orange Blue Blue Blue Black Black Black Blue Blue Blue Red Red Red Green Green Green\nBlue Blue Blue Green Green Green Orange Orange Orange Blue Blue Blue Black Black Black Blue Blue Blue Red Red Red Green Green Green\nBlue Blue Blue Green Green Green Orange Orange Orange Blue Blue Blue Black Black Black Blue Blue Blue Red Red Red Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Blue Blue Blue Red Red Red Orange Orange Orange Black Black Black Green Green Green Yellow Yellow Yellow Orange Orange Orange\nRed Red Red Blue Blue Blue Red Red Red Orange Orange Orange Black Black Black Green Green Green Yellow Yellow Yellow Orange Orange Orange\nRed Red Red Blue Blue Blue Red Red Red Orange Orange Orange Black Black Black Green Green Green Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Orange Orange Orange Green Green Green Red Red Red Black Black Black Green Green Green Green Green Green Blue Blue Blue\nYellow Yellow Yellow Orange Orange Orange Green Green Green Red Red Red Black Black Black Green Green Green Green Green Green Blue Blue Blue\nYellow Yellow Yellow Orange Orange Orange Green Green Green Red Red Red Black Black Black Green Green Green Green Green Green Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Black Black Black Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Black Black Black Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Black Black Black Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Black Black Black Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Black Black Black Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Black Black Black Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow\nGreen Green Green Blue Blue Blue Red Red Red Orange Orange Orange Black Black Black Red Red Red Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Red Red Red Orange Orange Orange Black Black Black Red Red Red Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Red Red Red Orange Orange Orange Black Black Black Red Red Red Green Green Green Green Green Green\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Black Black Black Blue Blue Blue Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Black Black Black Blue Blue Blue Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Red Red Red Black Black Black Blue Blue Blue Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Red Red Red\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Red Red Red\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Black Black Black Blue Blue Blue Yellow Yellow Yellow Red Red Red\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Black Black Black Blue Blue Blue Yellow Yellow Yellow Red Red Red\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Black Black Black Blue Blue Blue Yellow Yellow Yellow Red Red Red\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Orange Orange Orange Black Black Black Red Red Red Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Green Green Green Orange Orange Orange Black Black Black Red Red Red Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Green Green Green Orange Orange Orange Black Black Black Red Red Red Yellow Yellow Yellow Green Green Green\nBlue Blue Blue Red Red Red Orange Orange Orange Yellow Yellow Yellow Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Red Red Red Orange Orange Orange Yellow Yellow Yellow Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Red Red Red Orange Orange Orange Yellow Yellow Yellow Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue\nGreen Green Green Orange Orange Orange Green Green Green Orange Orange Orange Black Black Black Red Red Red Yellow Yellow Yellow Red Red Red\nGreen Green Green Orange Orange Orange Green Green Green Orange Orange Orange Black Black Black Red Red Red Yellow Yellow Yellow Red Red Red\nGreen Green Green Orange Orange Orange Green Green Green Orange Orange Orange Black Black Black Red Red Red Yellow Yellow Yellow Red Red Red\nRed Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Green Green Green Red Red Red Yellow Yellow Yellow\nRed Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Green Green Green Red Red Red Yellow Yellow Yellow\nRed Red Red Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Green Green Green Red Red Red Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange\nBlue Blue Blue Red Red Red Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange\nBlue Blue Blue Red Red Red Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green\nBlue Blue Blue Green Green Green Red Red Red Yellow Yellow Yellow Black Black Black Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Green Green Green Red Red Red Yellow Yellow Yellow Black Black Black Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Green Green Green Red Red Red Yellow Yellow Yellow Black Black Black Red Red Red Green Green Green Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Blue Blue Blue Orange Orange Orange Black Black Black Green Green Green Orange Orange Orange Blue Blue Blue\nRed Red Red Red Red Red Blue Blue Blue Orange Orange Orange Black Black Black Green Green Green Orange Orange Orange Blue Blue Blue\nRed Red Red Red Red Red Blue Blue Blue Orange Orange Orange Black Black Black Green Green Green Orange Orange Orange Blue Blue Blue\nRed Red Red Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Red Red Red Green Green Green Green Green Green\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Red Red Red Green Green Green Green Green Green\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Red Red Red Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Blue Blue Blue Green Green Green Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Blue Blue Blue Green Green Green Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Blue Blue Blue 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Yellow Yellow Yellow Red Red Red Green Green Green\nBlue Blue Blue Green Green Green Blue Blue Blue Red Red Red Black Black Black Green Green Green Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Green Green Green Blue Blue Blue Red Red Red Black Black Black Green Green Green Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Green Green Green Blue Blue Blue Red Red Red Black Black Black Green Green Green Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Green Green Green Black Black Black Green Green Green Red Red Red Green Green Green\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Green Green Green Black Black Black Green Green Green Red Red Red Green Green Green\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Green Green Green Black Black Black Green Green Green Red Red Red 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```\nOrange Orange Orange Orange Orange Orange Red Red Red Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Red Red Red\nOrange Orange Orange Orange Orange Orange Red Red Red Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Red Red Red\nOrange Orange Orange Orange Orange Orange Red Red Red Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Red Red Red\nOrange Orange Orange Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Green Green Green\nOrange Orange Orange Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Green Green Green\nOrange Orange Orange Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Green Green Green\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Orange Orange Orange Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Orange Orange Orange Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Orange Orange Orange Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Green Green Green Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Green Green Green Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Green Green Green Orange Orange Orange Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Orange Orange Orange Black Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Red Red Red Orange Orange Orange Black Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Red Red Red Orange Orange Orange Black Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue Orange Orange Orange 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:\nPurple Brown Brown Yellow\nPurple Green Green Yellow\nOrange Orange Yellow Yellow\nOrange Gray Red Yellow\n\nOutput:\nOrange Gray Red Yellow\nOrange Orange Yellow Yellow\nPurple Green Green Yellow\nPurple Brown Brown Yellow\nPurple Brown Brown Yellow\nPurple Green Green Yellow\nOrange Orange Yellow Yellow\nOrange Gray Red Yellow\n\n\nExample 2\nInput:\nYellow Yellow Green Yellow Pink\nGray Gray Green Pink Pink\nBrown Brown Green Blue Blue\nBrown Orange Yellow Brown Purple\nRed Gray Gray Purple Orange\n\nOutput:\nRed Gray Gray Purple Orange\nBrown Orange Yellow Brown Purple\nBrown Brown Green Blue Blue\nGray Gray Green Pink Pink\nYellow Yellow Green Yellow Pink\nYellow Yellow Green Yellow Pink\nGray Gray Green Pink Pink\nBrown Brown Green Blue Blue\nBrown Orange Yellow Brown Purple\nRed Gray Gray Purple Orange\n\n\nExample 3\nInput:\nOrange Purple Red Gray Pink\nBrown Brown Red Blue Gray\nPurple Brown Red Red Yellow\nOrange Orange Gray Gray Brown\nOrange Blue Blue Gray Gray\n\nOutput:\nOrange Blue Blue Gray Gray\nOrange Orange Gray Gray Brown\nPurple Brown Red Red Yellow\nBrown Brown Red Blue Gray\nOrange Purple Red Gray Pink\nOrange Purple Red Gray Pink\nBrown Brown Red Blue Gray\nPurple Brown Red Red Yellow\nOrange Orange Gray Gray Brown\nOrange Blue Blue Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Yellow Red\nBlue Blue Pink\nPink Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Blue Blue\nBlue Blue Pink\nPurple Yellow Red\nPurple Yellow Red\nBlue Blue Pink\nPink Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Pink Pink Green Red Red Black Black Black Black Black Black Black\nBlack Black Black Yellow Brown Brown Green Pink Red Pink Black Black Black Black Black Black\nBlack Black Black Yellow Green Orange Gray Pink Pink Pink Purple Black Black Black Black Black\nBlack Black Black Yellow Green Brown Brown Brown Pink Yellow Green Purple Black Black Black Black\nBlack Black Black Yellow Brown Brown Brown Purple Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Red Red Brown Purple Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Red 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 Black Black Black Black Black 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 Pink Pink Green Red Red Black Black Black\nYellow Brown Brown Green Pink Red Pink Pink Black\nYellow Green Orange Gray Pink Pink Pink Pink Black\nYellow Green Brown Brown Brown Pink Yellow Green Purple\nYellow Brown Brown Brown Purple Yellow Yellow Black Black\nGreen Red Red Brown Purple Brown Black Black Black\nBlack Black Black Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Red Red Red Black\nBlack Black Black Black Purple Red Red Red 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 Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Yellow Purple Purple Purple Purple Purple Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Blue Brown Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Blue Brown Red Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nYellow Blue Blue Blue Blue Black Purple Purple\nYellow Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Orange Black Green Red Red\nBlack Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Purple Purple\nBlack Black Black Black Blue Brown Purple Purple\nBlack Black Black Black Blue Brown Red Yellow\nBlack Black Black Black Black Brown Yellow Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Orange Purple Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Red Purple Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Pink Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Gray Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Brown Yellow Green Green Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Brown Brown Black Purple Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Pink Orange Purple Gray Black\nBlack Black Black Black Pink Red Pink Pink Yellow\nBlack Black Black Black Black Purple Pink Pink Gray\nBlack Black Black Black Black Black Pink Pink Gray\nBlack Black Black Blue Blue Brown Yellow Green Green\nBlack Black Black Blue Blue Brown Brown Black Purple\nBlack Black Yellow Yellow Black Black Black Black Black\nPink Purple Purple Purple Purple Black Black Black Black\nBrown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Blue Blue Green Black Black Black Black\nBlack Black Black Black Black Black Orange Blue Green Black Black Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Green 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 Black Black Black Black\nBlack Black Black Black 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 Orange Blue Brown Brown\nBlack Black Black Orange Blue Brown Brown\nGray Gray Gray Blue Blue Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Red Green Black Black\nBlack Black Black Red Green Green Black\nBlack Black Black Red Red 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 Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green 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\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack 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 Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green 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 Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Yellow Yellow Yellow Yellow\nYellow Black Black Black Black\nYellow Black Black Pink Pink\nYellow Black Black Pink Pink\nYellow Black Black Black Black\n\nOutput:\nRed Red Red Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Yellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Purple Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Purple Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Purple Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Purple Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Purple Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Purple Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Gray Green Green Green\nGray Black Black Black Black\nGreen Black Black Red Red\nGreen Black Black Red Red\nGreen Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Purple Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Gray Purple Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Gray Gray Purple Gray Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Gray Gray Gray Purple Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Green Green Green\nGreen Black Black Black Black\nGreen Black Black Brown Brown\nGreen Black Black Brown Brown\nGreen Black Black Black Black\n\nOutput:\nGreen Green Purple Green Green Green Green Green Green Green\nGreen Green Green Purple Green Green Green Green Green Green\nGreen Green Black Black Purple Black Black Black Black Black\nGreen Green Black Black Black Purple Black Black Black Black\nGreen Green Black Black Black Black Brown Brown Brown Brown\nGreen Green Black Black Black Black Brown Brown Brown Brown\nGreen Green Black Black Black Black Brown Brown Brown Brown\nGreen Green Black Black Black Black Brown Brown Brown Brown\nGreen Green Black Black Black Purple Black Black Black Black\nGreen Green Black Black Purple Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray\nGray Black Black Black Black\nGray Black Black Black Black\nGray Black Black Pink Pink\nGray Black Black Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Purple Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Black Black Black Black Black Black Black\nGray Gray Black Purple Black Black Black Black Black Black\nGray Gray Black Black Purple Black Black Black Black Black\nGray Gray Black Black Black Purple Black Black Black Black\nGray Gray Black Black Black Black Pink Pink Pink Pink\nGray Gray Black Black Black Black Pink Pink Pink Pink\nGray Gray Black Black Black Black Pink Pink Pink Pink\nGray Gray Black Black Black Black Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Blue Blue Black Black\nRed Red Blue Blue Black Black\nRed Red Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack 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\nRed Red Black Black Black Black Black Black Black Black Black Black Black\nRed 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black\nRed 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Red Red Blue Blue Black\nBlack Black Black Black Red Red Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black\nBlack Black Black Black Red Red Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Brown Black\nBlack 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 Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 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\nGreen 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Brown Brown Black Black Black Black\nOrange Orange Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Blue Blue Black Black Black Black\nGreen Green Green 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green 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 Pink Pink\nBlack Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Orange Orange Black Black Black Black Black Black\nYellow Yellow Orange Orange Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Orange Orange Black Black Black Black\nYellow Yellow Orange Orange Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Orange Orange Black Black Black Black\nBlack Black Red Red Orange Orange Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow\nGray Gray Black Black Black Black Black Black\nGray Gray Orange Orange Black Black Black Black\nRed Red Orange Orange Black Black Black Black\nRed 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 Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green\nGreen Green Green\nGreen Green Green\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\n\nOutput:\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\nGreen Green Green\nGreen Green Green\nGreen Green Green\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nRed Red Red\nRed Red Red\nRed Red Red\n\n\nExample 2\nInput:\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nRed Red Red\nRed Red Red\nRed Red Red\nGreen Green Green\nGreen Green Green\nGreen Green Green\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nGreen Green Green\nGreen Green Green\nGreen Green Green\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\nOutput:\nBlack Black Black\nBlack Black Black\nBlack Black Black\nRed Red Red\nRed Red Red\nRed Red Red\nGreen Green Green\nGreen Green Green\nGreen Green Green\nRed Red Red\nRed Red Red\nRed Red Red\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\n\n\nExample 3\nInput:\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\nGreen Green Green\nGreen Green Green\nGreen Green Green\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\n\nOutput:\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nRed Red Red\nRed Red Red\nRed Red Red\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nRed Red Red\nRed Red Red\nRed Red Red\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nRed Red Red\nRed Red Red\nRed Red Red\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nGreen Green Green\nGreen Green Green\nGreen Green Green\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen 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 Orange Black Black Black Black Brown Brown Brown Gray Gray Black\nBlack Black Black Black Black Black Black Brown Brown Brown Gray Gray Black\nBrown Brown Brown Black Black Black Black Brown Blue Brown Gray Gray Black\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Green\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Brown Brown Blue Blue Blue Orange Black Black Black\nBlack Black Gray Gray Brown Brown Blue Blue Blue Blue Black Black Black\nBlue Blue Gray Gray Brown Brown Black Black Black Black Black Black Black\nBlue Blue Gray Gray Brown Brown Black Black Black Black Black Black Black\nBlue Blue Gray Gray Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Yellow Black Black\nBlack Black Black Yellow Blue Blue Blue Blue Blue Blue Blue Blue Black\nGray Gray Black Black Blue Blue Purple Blue Blue Blue Blue Blue Black\nGray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nGray Gray Black Black Black Brown Brown Brown Brown Black Black Black Black\nGray Gray Black Black Black Brown Brown Brown Orange Black Black Black Black\nBlack Blue Blue Purple Black Brown Brown Brown Brown Black Black Black Black\nBlack Blue Blue Blue Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Pink Gray Gray Gray Black Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray\nBlack Black Purple Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Brown Brown Brown Gray Gray Black\nBlack Black Black Black Black Black Black Brown Brown Brown Gray Gray Black\nBrown Brown Brown Black Black Black Black Brown Blue Brown Gray Gray Black\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Green\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Brown Brown Blue Blue Blue Orange Black Black Black\nBlack Black Gray Gray Brown Brown Blue Blue Blue Blue Black Black Black\nBlue Blue Gray Gray Brown Brown Black Black Black Black Black Black Black\nBlue Blue Gray Gray Brown Brown Black Black Black Black Black Black Black\nBlue Blue Gray Gray Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Yellow Black Black\nBlack Black Black Yellow Blue Blue Blue Blue Blue Blue Blue Blue Black\nGray Gray Black Black Blue Blue Purple Blue Blue Blue Blue Blue Black\nGray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nGray Gray Black Black Black Brown Brown Brown Brown Black Black Black Black\nGray Gray Black Black Black Brown Brown Brown Orange Black Black Black Black\nBlack Blue Blue Purple Black Brown Brown Brown Brown Black Black Black Black\nBlack Blue Blue Blue Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Pink Gray Gray Gray Black Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black 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:\nGreen Black Black Red Red Black Black Black Pink Pink Pink Pink Black Black Gray\nBlack Black Green Red Red Black Black Black Pink Pink Pink Pink Black Gray Gray\nBlack Black Black Yellow Pink Pink Black Black Gray Pink Pink Pink Black Gray Gray\nBlack Red Red Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black\nBlack Purple Red Black Pink Orange Black Black Black Black Black Black Gray Gray Gray\nBlack Pink Red Black Black Gray Gray Gray Black Black Black Black Gray Yellow Yellow\nBlack Red Red Black Black Gray Gray Gray Black Black Black Black Gray Gray Gray\nBlack Red Red Black Black Black Pink Black Black Black Black Black Gray Pink Gray\nBlack Red Red Black Black Black Black Pink Black Pink Pink Black Black Black Black\nBlack Red Red Pink Pink Gray Gray Black Black Pink Pink Black Black Black Black\nBlack Red Red Pink Pink Blue Gray Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Red Red Red Black\n\nOutput:\nBlack Black Black Red Red Black Black Black Pink Pink Pink Pink Black Black Gray\nBlack Black Green Red Red Black Black Black Pink Pink Pink Pink Black Gray Gray\nBlack Black Black Yellow Pink Pink Black Black Gray Pink Pink Pink Black Gray Gray\nBlack Red Red Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black\nBlack Purple Red Black Pink Orange Black Black Black Black Black Black Gray Gray Gray\nBlack Pink Red Black Black Gray Gray Gray Black Black Black Black Gray Yellow Yellow\nBlack Red Red Black Black Gray Gray Gray Black Black Black Black Gray Gray Gray\nBlack Red Red Black Black Black Pink Black Black Black Black Black Gray Pink Gray\nBlack Red Red Black Black Black Black Pink Black Pink Pink Black Black Black Black\nBlack Red Red Pink Pink Gray Gray Black Black Pink Pink Black Black Black Black\nBlack Red Red Pink Pink Blue Gray Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Red Red Red Black\n\n\nExample 3\nInput:\nPurple Black Black Black Pink Pink Pink Pink Pink Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Purple Purple Purple Purple Blue\nBlack Black Black Black Pink Pink Black Black Brown Brown Brown Purple Orange Purple Purple Black\nBlack Black Black Black Pink Pink Black Black Brown Brown Brown Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black Black Brown Brown Brown Black Brown Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Purple Purple Pink Pink Pink Black Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Purple Blue Black Black Brown Green Brown Pink\nBlack Pink Pink Black Brown Purple Black Black Pink Black Black Black Brown Brown Brown Black\nBlack Pink Pink Black Brown Brown Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Pink Pink Black Brown Brown Purple Purple Purple Black Purple Purple Purple Purple Black Black\nBlack Pink Pink Black Brown Brown Purple Purple Purple Black Purple Purple Purple Purple Black Black\n\nOutput:\nBlack Black Black Black Pink Pink Pink Pink Pink Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Purple Purple Purple Purple Blue\nBlack Black Black Black Pink Pink Black Black Brown Brown Brown Purple Orange Purple Purple Black\nBlack Black Black Black Pink Pink Black Black Brown Brown Brown Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black Black Brown Brown Brown Black Brown Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Purple Purple Pink Pink Pink Black Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Purple Blue Black Black Brown Green Brown Pink\nBlack Pink Pink Black Brown Purple Black Black Pink Black Black Black Brown Brown Brown Black\nBlack Pink Pink Black Brown Brown Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Pink Pink Black Brown Brown Purple Purple Purple Black Purple Purple Purple Purple Black Black\nBlack Pink Pink Black Brown Brown Purple Purple Purple Black Purple Purple Purple Purple 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 Pink Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Yellow Pink Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Gray Black Green Green Green Black Pink Pink Pink Pink Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Green Green Green Black Pink Pink Pink Pink Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black Black Black Red Red Red\nBlack Black Black Black Pink Pink Pink Black Black Red Black Black Black Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Red Red Black Black Black Brown Black Black Red Red Red\nRed Red Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red Red\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Gray\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Pink Pink Pink Black Black Gray Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black Black Black Red Red Red\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Gray\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red 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\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed 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\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\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 Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Green Green\nGreen Green Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Green Green\nGreen Green Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Green Green\nGreen Green Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Green Green\nGreen Green Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Green Green\nGreen Green Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black 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 Green Green Green Green Green Green Green Green Green\n\nOutput:\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\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 Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Green Green Green Green\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Red Red\nRed Red Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Red Red\nRed Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red\nRed Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red\nRed Red Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Red Red\nRed Red Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Red Red\nRed Red Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red\nRed Red Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red\nRed Red Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Red Red\nRed Red Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Red Red\nRed Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Red Red\nRed Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Red Red\nRed Red Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Red Red\nRed Red Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nBlack Black Red Red Red Red Black Black Black Black Red Red Red Red\nBlack Black Red Red Red Red Black Black Black Black Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Black Black Red Red Red Red Red Red Red Red\nRed Red Red Red Black Black Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown 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\nBrown Brown Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Brown Brown\nBrown Brown Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Brown Brown\nBrown Brown Black Black Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Brown Brown\nBrown Brown Black Black Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Brown Brown\nBrown Brown Black Black Red Red Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Red Red Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Brown Brown\nBrown Brown Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Brown Brown\nBrown Brown Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Brown Brown\nBrown Brown Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Brown Brown\nBrown Brown Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown\nBrown Brown Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown\nBrown Brown Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown\nBrown Brown Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown\nBrown Brown Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Red Red Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Red Red Black Black Brown Brown\nBrown Brown Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Black Black Brown Brown\nBrown Brown Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Black Black Brown Brown\nBrown Brown Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black Red Red Red Red Brown Brown\nBrown Brown Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black Red Red Red Red 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\nBrown 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown\nBrown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown 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 Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black\nBrown Brown Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown\nBrown Brown Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Purple Black Black Black Red Black Black Black Black Black Black\nBlack Gray Blue Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Purple\nBlack Black Black Yellow Black Black Black Black Black Orange Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Purple Black Black Black Black Black Black\nGray Brown Black Purple Black Yellow Black Red Pink Black Black Black Black Black Black Purple Black Black\nOrange Black Black Black Purple Green Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Purple Black Black Black Yellow\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Orange Black Black Black Blue Black Black Black Black Black Black\nBlack Pink Red Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Orange\nBlack Black Black Green Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Orange Black Black Black Black Black Black\nPink Brown Black Orange Black Green Black Blue Gray Black Black Black Black Black Black Orange Black Black\nPurple Black Black Black Orange Yellow Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Orange Black Black Black Green\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Black Black\nBlack Black Gray Black Black Black Purple\nPurple Black Black Black Black Black Black\nBlack Blue Black Black Black Brown Brown\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlue Black Black Black Blue Yellow Black\nBlack Green Black Black Black Black Black\nBlack Black Black Green Pink Black Black\nBlack Gray Black Purple Black Black Black\n\nOutput:\nBlack Red Black Black Black Black Black\nBlack Black Pink Black Black Black Orange\nOrange Black Black Black Black Black Black\nBlack Red Black Black Black Brown Brown\nBlack Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black\nRed Black Black Black Red Green Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Yellow Gray Black Black\nBlack Pink Black Orange Black Black Black\n\n\nExample 3\nInput:\nGreen Blue Purple Black Blue Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Black Black Black Green Pink\nBrown Yellow Orange Black Black Black Black\nBlack Gray Black Black Gray Black Green\nBlack Black Black Black Black Black Black\nBlack Pink Black Black Blue Black Black\nBlack Green Brown Black Black Pink Pink\nBlack Black Gray Black Black Black Black\nBlack Black Black Black Green Black Black\nBlack Black Green Black Black Blue Brown\n\nOutput:\nYellow Red Orange Black Red Black Black\nBlack Purple Black Black Black Black Black\nBlack Black Black Black Black Yellow Gray\nBrown Green Purple Black Black Black Black\nBlack Pink Black Black Pink Black Yellow\nBlack Black Black Black Black Black Black\nBlack Gray Black Black Red Black Black\nBlack Yellow Brown Black Black Gray Gray\nBlack Black Pink Black Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Red Brown\n\n\nHere is the input grid for the test example:\nInput:\nBrown Yellow Black Black Black Black Black Orange Black\nBlack Black Purple Black Black Black Black Purple Black\nBrown Green Black Black Black Brown Red Black Yellow\nBlack Black Orange Pink Green Black Red Green Gray\nOrange Black Purple Purple Black Orange Black Black Red\nBlue Black Black Black Black Black Black Gray Gray\nBlack Pink Black Brown Pink Black Red Black Gray\nBlack Gray Pink Black Purple Black Black Black Yellow\nBlack Black Gray Black Black Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Green Black Black Black Black Black Purple Black\nBlack Black Orange Black Black Black Black Orange Black\nBrown Yellow Black Black Black Brown Blue Black Green\nBlack Black Purple Gray Yellow Black Blue Yellow Pink\nPurple Black Orange Orange Black Purple Black Black Blue\nRed Black Black Black Black Black Black Pink Pink\nBlack Gray Black Brown Gray Black Blue Black Pink\nBlack Pink Gray Black Orange Black Black Black Green\nBlack Black Pink Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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"
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"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\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 Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\n```",
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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 Brown Black Black Black Black\nBlack Black Brown Blue Brown Black Black Black\nBlack Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Purple Black Black\nBlack Black Black Brown Brown Purple Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBrown Brown Red Black Black Black Pink\nBlack Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black\nBlack Red Red Red Red 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 Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Yellow Black\nBlack 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 Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack 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 Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Yellow Black\nBlack 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 Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPink 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\nPink Black Black Black Black Black Black\nPink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Blue Red Black Black Blue\nGreen Black Yellow Black Yellow Black Red Green Green Red Black Black\nBlack Black Black Black Blue Black Black Green Black Black Black Black\nBlack Black Blue Red Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Green Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red Purple Black Black Red\nBlue Black Brown Black Brown Black Purple Blue Blue Purple Black Black\nBlack Black Black Black Red Black Black Blue Black Black Black Black\nBlack Black Red Purple Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Green Black\nYellow Black Black Black Black Black Red Black Black Black\nBlue Black Black Black Black Blue Black Black Black Black\nBlack Green Black Blue Black Black Black Red Black Black\nBlack Black Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Yellow Black Black Black Black Black Blue Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black\nBrown Black Black Black Black Black Purple Black Black Black\nRed Black Black Black Black Red Black Black Black Black\nBlack Blue Black Red Black Black Black Purple Black Black\nBlack Black Brown Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Brown Black Black Black Black Black Red Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Yellow Black Black Black Black Black Green\nBlack Yellow Black Black Black Black Black Black Black Yellow Black\nBlack Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Green Black Blue Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Green Black Black\n\nOutput:\nBlack Black Black Black Brown Black Black Black Black Black Blue\nBlack Brown Black Black Black Black Black Black Black Brown Black\nBlack Black Purple Black Black Black Black Black Black Black Purple\nBlack Black Black Blue Black Red Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Green Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Yellow\nYellow Black Red Black Black Black Yellow Black Red\nYellow 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\nBlack Black Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Purple Black Black\nBlack Black Black Black Black Black Purple Black Black\nBlack Black Black Blue Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Brown\nBrown Black Purple Black Black Black Brown Black Purple\nBrown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Black Black Black Red\nBlack Red Black Black Red\nRed Red Black Red Red\nRed Red Red Red Black\nRed Black Red Red Red\nBlack Red Black Black Red\nGray Gray Gray Gray Gray\nBlack Red Black Black Red\nBlack Black Red Black Black\nBlack Red Red Red Black\nBlack Black Black Black Red\nBlack Red Black Black Black\nRed Black Black Black Black\n\nOutput:\nBlack Black Black Black Green\nBlack Black Black Black Black\nBlack Green Black Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Red Black Red Red\nBlack Black Black Black Black\nRed Black Black Black Black\nBlack Black Black Red Red\nRed Black Black Black Black\nGray Gray Gray Gray Gray\nRed Red Black Red Red\nBlack Black Red Red Black\nRed Black Red Red Red\nBlack Black Red Black Black\nBlack Red Red Red Red\nRed Red Red Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Green Green\nGreen Black Black Black Black\n\n\nExample 3\nInput:\nRed Red Black Black Black\nRed Red Red Black Black\nRed Black Red Black Black\nBlack Black Red Black Black\nRed Black Black Red Red\nBlack Red Black Red Red\nGray Gray Gray Gray Gray\nBlack Black Black Red Red\nRed Red Black Black Black\nRed Red Black Black Red\nRed Red Red Red Red\nRed Red Black Red Red\nBlack Red Black Red Red\n\nOutput:\nBlack Black Black Black Black\nGreen Green Black Black Black\nGreen Black Black Black Black\nBlack Black Green Black Black\nGreen Black Black Green Green\nBlack Green Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Black Red Black\nRed Black Red Black Black\nRed Black Red Black Red\nRed Black Black Black Red\nBlack Red Red Red Black\nRed Red Red Black Red\nGray Gray Gray Gray Gray\nRed Red Red Red Black\nRed Red Red Red Black\nBlack Black Red Black Red\nBlack Black Black Red Red\nBlack Red Black Black Black\nRed Black Red Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Black Green Black\nGreen Black Green Black Black\nBlack Black Green Black Green\nBlack Black Black Black Green\nBlack Green Black Black Black\nGreen Black Green Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Black Black Purple Purple Black Black Black\nBrown Brown Brown Black Black Purple Purple Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Purple Purple Black Black Black Black Black\nBrown Brown Brown Purple Purple Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink 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 Blue Blue Black\nBlack Black Black Black Blue Blue Black\nRed Red Red Black Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Blue Black Black Black Black Black\nBlue Blue Black Black Black Black Black\nRed Red Red Blue Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Red Red Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Red Red 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:\nRed Red Black Black Black Black Black\nRed Red Black Black Black Black Black\nRed Red 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\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Brown Brown Black Black\nGreen Black Gray Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Pink Black Black\nBlue Black Black Black Black Black Pink Black Black\nBlue 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\nGray Brown Brown Black Black Black Black Black Black\nGreen Gray Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Black\nBlue 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:\nBlue Black Black Red Red Black Black Red\nRed Blue Black Red Red Blue Red Black\nBlack Black Black Black Black Blue Black Black\nBlue Black Black Blue Black Black Black Black\nRed Blue Blue Red Black Red Black Red\nBlack Red Black Black Red Blue Black Black\nBlack Blue Blue Blue Blue Black Red Black\nRed Black Black Red Black Red Red Red\n\nOutput:\nBlue Black Black Blue Black Blue Blue Blue\nBlack Red Red Red Red Black Blue Black\nBlack Blue Black Black Blue Red Black Black\nBlue Red Red Blue Black Blue Black Blue\nRed Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Black\nBlue Red Black Blue Blue Red Blue Black\nRed Black Black Blue Blue Black Black Blue\n\n\nExample 2\nInput:\nRed Blue Black Red Red Red Black\nBlack Black Red Black Black Red Blue\nBlue Blue Black Blue Red Black Black\nBlue Black Black Black Black Black Blue\nBlack Black Blue Blue Black Black Blue\nBlack Black Black Blue Red Black Blue\nBlack Black Black Black Red Black Black\n\nOutput:\nBlack Black Black Black Blue Black Black\nBlack Black Black Red Blue Black Red\nBlack Black Red Red Black Black Red\nRed Black Black Black Black Black Red\nRed Red Black Red Blue Black Black\nBlack Black Blue Black Black Blue Red\nBlue Red Black Blue Blue Blue Black\n\n\nExample 3\nInput:\nBlack Red Red Black Blue Black Black\nBlack Black Black Black Red Blue Black\nBlack Red Black Black Red Red Black\nBlack Red Blue Red Black Blue Black\nBlack Black Black Black Black Black Black\nRed Red Black Blue Red Red Black\nBlue Blue Black Black Black Blue Blue\nBlue Black Black Blue Red Black Red\nBlue Black Black Blue Black Black Black\n\nOutput:\nRed Black Black Red Black Black Black\nRed Black Black Red Blue Black Blue\nRed Red Black Black Black Red Red\nBlue Blue Black Red Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Blue Red Blue Black Red Black\nBlack Blue Black Black Blue Blue Black\nBlack Black Black Black Blue Red Black\nBlack Blue Blue Black Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Blue Black Black Black Black Black Black Red\nBlack Blue Red Red Red Black Black Red Black\nBlack Red Red Black Black Blue Red Black Black\nBlue Red Blue Black Red Black Blue Blue Black\nBlack Black Red Red Black Blue Black Blue Black\nBlue Blue Black Black Red Black Blue Black Red\nRed Black Red Black Red Black Black Blue Black\nRed Blue Black Blue Blue Black Blue Black Red\nBlack Red Red Black Red Black Red Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Blue Black Blue Black Blue Blue Black\nBlue Red Black Red Red Black Red Black Blue\nBlue Black Blue Black Blue Black Black Red Black\nRed Red Black Black Blue Black Red Black Blue\nBlack Black Blue Blue Black Red Black Red Black\nRed Blue Red Black Blue Black Red Red Black\nBlack Blue Blue Black Black Red Blue Black Black\nBlack Red Blue Blue Blue Black Black Blue Black\nBlue Red Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Black Black Orange Black\nBlack Black Green Black Black Black Black\nGray Orange Black Blue Black Black Black\nGreen Pink Black Purple Black Black Gray\nBlack Yellow Black Black Black Blue Black\nBlue Black Black Black Pink Blue Black\nBlack Black Brown Red Black Orange Brown\n\nOutput:\nGreen Green Pink Pink Black Black Purple\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlue Blue Black Black Black Black Black\nBlue Blue Black Black Black Black Black\nBlack Black Black Black Brown Brown Red\nBlack Black Black Black Brown Brown Red\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Black Pink Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Red Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Blue Orange Black Brown Black Orange\nBlack Black Pink Black Black Black Green Black Yellow\nGray Pink Black Black Black Orange Black Purple Black\nBlack Black Black Black Purple Pink Black Black Black\nBlack Purple Pink Black Black Black Black Black Black\nPink Black Black Black Gray Black Brown Black Black\nBlack Black Brown Black Black Red Red Black Black\nBlack Black Black Gray Black Brown Black Purple Orange\nBlack Yellow Gray Gray Black Gray Yellow Black Black\n\nOutput:\nBlack Black Purple Purple Pink Pink Black Black Black\nPink Pink Black Black Black Black Black Black Gray\nPink Pink Black Black Black Black Black Black Gray\nBlack Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Black\nBlack Black Yellow Yellow Gray Gray Gray Gray Black\nBlack Black Yellow Yellow Gray Gray Gray Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Green Black Red Black\nBlack Black Black Black Black Black Black Purple Black\nBlack Black Pink Black Green Black Black Black Yellow\nBlack Black Black Blue Black Black Black Blue Black\nBlack Black Purple Black Gray Red Black Blue Black\nBlack Black Black Black Black Black Black Gray 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 Purple Purple Black Black Gray\nBlack Black Black Black Purple Purple Black Black Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Pink\nBlack Black Black Black Yellow Black Black Black Black Pink\nBlack Black Black Black Yellow Yellow Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Gray\nBlack Black Black Black Yellow Black Black Black Black Gray\nBlack Black Black Black Yellow Yellow Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nBlack Gray 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 Orange\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Red Red\nBlack Black Pink Pink Pink Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Gray Gray\nBlack Black Pink Pink Pink Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray\n\n\nExample 3\nInput:\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Green Green 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 Orange 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 Purple Purple Purple Black Black Red Red Black\nBlack Black Purple Purple Purple Black Black Black Black Black\n\nOutput:\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Green Green 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 Orange 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 Gray Gray Gray Black Black Red Red Black\nBlack Black Gray Gray Gray Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black 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 Purple\nOrange Orange Orange Black Black Black Black Black Black Black\nOrange Black Orange Black Pink Black Black Black Purple Purple\nBlack Black Black Black Pink Black Black Black Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black\nGray Black Gray Black Gray Black Black Black Gray Gray\nBlack Black Black Black Gray Black Black Black Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Purple Brown Red Gray\nBlue Purple Black Black Black\nBrown Blue Black Black Black\nBlack Blue Black Black Black\nBlack Blue Black Black Black\n\nOutput:\nBlack Blue Black Black Black\nBlack Blue Black Black Black\nBrown Blue Black Black Black\nBlue Purple Black Black Black\nBlack Purple Brown Red Gray\nBlack Purple Brown Red Gray\nBlue Purple Black Black Black\nBrown Blue Black Black Black\nBlack Blue Black Black Black\nBlack Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nGray Black Black Black\nYellow Gray Black Black\nYellow Gray Black Black\nGray Gray Gray Black\nOrange Orange Gray Black\nBlack Orange Orange Orange\n\nOutput:\nBlack Orange Orange Orange\nOrange Orange Gray Black\nGray Gray Gray Black\nYellow Gray Black Black\nYellow Gray Black Black\nGray Black Black Black\nGray Black Black Black\nYellow Gray Black Black\nYellow Gray Black Black\nGray Gray Gray Black\nOrange Orange Gray Black\nBlack Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGray Black Black Black Black\nGray Gray Red Red Black\nBlack Brown Brown Brown Brown\nBlack Black Brown Brown Purple\nBlack Black Black Brown Purple\nBlack Black Black Black Orange\n\nOutput:\nBlack Black Black Black Orange\nBlack Black Black Brown Purple\nBlack Black Brown Brown Purple\nBlack Brown Brown Brown Brown\nGray Gray Red Red Black\nGray Black Black Black Black\nGray Black Black Black Black\nGray Gray Red Red Black\nBlack Brown Brown Brown Brown\nBlack Black Brown Brown Purple\nBlack Black Black Brown Purple\nBlack Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Pink Black\nGray Pink Black\nBlack Orange Orange\nBlack Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Purple\nBlack Orange Orange\nGray Pink Black\nBlack Pink Black\nBlack Pink Black\nGray Pink Black\nBlack Orange Orange\nBlack Black Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Orange Black Orange Black Black Gray Black\nBlack Black Black Black Red Black Black Black\nBlack Black Black Black Pink Black Black Black\nBlack Orange Black Pink Black Black Purple Black\nGreen Purple Black Black Black Black Orange Yellow\nOrange Blue Black Yellow Black Black Green Purple\nBlack Green Black Black Black Orange Black Black\nPink Black Black Black Black Black Gray Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Yellow Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Purple Purple Black Black Black Black\nGray Gray Black Black Black Black Purple Purple Orange Orange Green Green Black Black Gray Gray\nGray Gray Black Black Black Black Purple Purple Orange Orange Green Green Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black Black Black\nOrange Orange Black Black Black Black Pink Pink 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\nOrange Orange Black Black Black Black Orange Orange Purple Purple Blue Blue Green Green Black Black\nOrange Orange Black Black Black Black Orange Orange Purple Purple Blue Blue Green Green Black Black\nPurple Purple Black Black Black Black Black Black Green Green Orange Orange Black Black Pink Pink\nPurple Purple Black Black Black Black Black Black Green Green Orange Orange Black Black Pink Pink\n\n\nExample 2\nInput:\nYellow Black Black Black Red Brown Black\nBlack Black Black Brown Black Black Purple\nGray Pink Black Black Black Yellow Black\nPurple Black Black Black Blue Purple Black\nBlack Black Yellow Black Orange Black Black\nBlack Brown Brown Black Purple Black Orange\nBlack Black Red Black Red Brown Black\n\nOutput:\nBlack Black Purple Purple Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Orange Orange Black Black\nBrown Brown Black Black Yellow Yellow Purple Purple Black Black Black Black Brown Brown\nBrown Brown Black Black Yellow Yellow Purple Purple Black Black Black Black Brown Brown\nRed Red Black Black Black Black Blue Blue Orange Orange Purple Purple Red Red\nRed Red Black Black Black Black Blue Blue Orange Orange Purple Purple Red Red\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Yellow Yellow Brown Brown Red Red\nBlack Black Black Black Pink Pink Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Brown Brown Black Black\nYellow Yellow Black Black Gray Gray Purple Purple Black Black Black Black Black Black\nYellow Yellow Black Black Gray Gray Purple Purple Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Brown Black Black Black Gray Black\nBrown Blue Yellow Black Black Black Black\nBlack Black Black Black Black Black Orange\nBlack Black Black Brown Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Yellow Black Black Black Black Brown\nBrown Red Black Blue Pink Gray Black\n\nOutput:\nBlack Black Black Black Orange Orange Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Brown Brown Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Brown Brown Orange Orange Black Black Blue Blue\nBlack Black Black Black Black Black Brown Brown Orange Orange Black Black Blue Blue\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBrown Brown Blue Blue Black Black Black Black Black Black Yellow Yellow Red Red\nBrown Brown Blue Blue Black Black Black Black Black Black Yellow Yellow Red Red\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nPurple Blue Gray Black Black Black Black Black Black\nBlack Pink Black Black Pink Black Black Black Pink\nBlack Orange Black Yellow Gray Gray Black Black Brown\nBlack Black Black Black Red Black Black Orange Brown\nBlack Blue Black Yellow Black Purple Yellow Blue Orange\nBlack Black Purple Black Black Black Black Brown Black\nPink Black Black Black Black Purple Black Red Green\nBlack Orange Black Purple Black Black Black Gray Black\nPink Black Pink Black Black Blue Black Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Pink Brown Brown Brown Brown Orange Orange Black Black Green Green Black Black Black Black\nBlack Black Pink Pink Brown Brown Brown Brown Orange Orange Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Blue Blue Brown Brown Red Red Gray Gray Gray Gray\nBlack Black Black Black Black Black Orange Orange Blue Blue Brown Brown Red Red Gray Gray Gray Gray\nBlack 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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Purple Purple Black Black Purple Purple Black Black Blue Blue\nBlack Black Black Black Gray Gray Black Black Purple Purple Black Black Purple Purple Black Black Blue Blue\nBlack Black Pink Pink Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Purple Purple Black Black\nGray Gray Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Pink Pink\nBlue Blue Pink Pink Orange Orange Black Black Blue Blue Black Black Black Black Orange Orange Black Black\nBlue Blue Pink Pink Orange Orange Black Black Blue Blue Black Black Black Black Orange Orange Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPurple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Brown Black Black Pink Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Pink Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black\nBrown Brown Black Black Black Pink Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown 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 Blue 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Brown Black Black Pink Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Pink Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Blue Blue\nBlack Black Yellow Black Black Black Yellow Black Black Black Blue Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Red Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Green Black Black Black Black Black Black Orange Black Black Black\nGreen Green Green Green Black Black Black Black Orange Black Black Black\nBlack Green Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Blue Blue\nBlack Black Yellow Black Black Black Yellow Black Black Black Blue Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Red Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple 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\nBrown Brown Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Gray Black Black Blue Blue 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\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Gray Black Black Blue Blue 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:\nYellow Yellow Yellow Yellow Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Blue Blue Blue Blue\nRed Red Blue Blue Green Green Green Green\nRed Red Blue Blue Green Green Green Green\nBlue Blue Yellow Yellow Blue Blue Green Green\nBlue Blue Yellow Yellow Blue Blue Green Green\nBlue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nGreen Green Green Green Yellow Yellow Yellow Yellow\nGreen Green Green Green Yellow Yellow Yellow Yellow\nBlue Blue Yellow Yellow Red Red Red Red\nBlue Blue Yellow Yellow Red Red Red Red\nYellow Yellow Green Green Yellow Yellow Red Red\nYellow Yellow Green Green Yellow Yellow Red Red\nYellow Yellow Green Green Green Green Green Green\nYellow Yellow Green Green Green Green Green Green\n\n\nExample 2\nInput:\nRed Red Blue Blue Green Green Yellow Yellow\nRed Red Blue Blue Green Green Yellow Yellow\nBlue Blue Yellow Yellow Red Red Blue Blue\nBlue Blue Yellow Yellow Red Red Blue Blue\nRed Red Blue Blue Green Green Yellow Yellow\nRed Red Blue Blue Green Green Yellow Yellow\nYellow Yellow Red Red Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Yellow Yellow Yellow Yellow\n\nOutput:\nBlue Blue Yellow Yellow Red Red Green Green\nBlue Blue Yellow Yellow Red Red Green Green\nYellow Yellow Green Green Blue Blue Yellow Yellow\nYellow Yellow Green Green Blue Blue Yellow Yellow\nBlue Blue Yellow Yellow Red Red Green Green\nBlue Blue Yellow Yellow Red Red Green Green\nGreen Green Blue Blue Green Green Green Green\nGreen Green Blue Blue Green Green Green Green\n\n\nExample 3\nInput:\nRed Red Blue Blue Green Green Yellow Yellow\nRed Red Blue Blue Green Green Yellow Yellow\nYellow Yellow Blue Blue Green Green Yellow Yellow\nYellow Yellow Blue Blue Green Green Yellow Yellow\nRed Red Blue Blue Green Green Red Red\nRed Red Blue Blue Green Green Red Red\nYellow Yellow Blue Blue Yellow Yellow Red Red\nYellow Yellow Blue Blue Yellow Yellow Red Red\n\nOutput:\nBlue Blue Yellow Yellow Red Red Green Green\nBlue Blue Yellow Yellow Red Red Green Green\nGreen Green Yellow Yellow Red Red Green Green\nGreen Green Yellow Yellow Red Red Green Green\nBlue Blue Yellow Yellow Red Red Blue Blue\nBlue Blue Yellow Yellow Red Red Blue Blue\nGreen Green Yellow Yellow Green Green Blue Blue\nGreen Green Yellow Yellow Green Green Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Blue Blue Red Red Red Red\nGreen Green Blue Blue Red Red Red Red\nYellow Yellow Green Green Blue Blue Red Red\nYellow Yellow Green Green Blue Blue Red Red\nRed Red Red Red Red Red Blue Blue\nRed Red Red Red Red Red Blue Blue\nRed Red Red Red Yellow Yellow Blue Blue\nRed Red Red Red Yellow Yellow Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Yellow Yellow Blue Blue Blue Blue\nRed Red Yellow Yellow Blue Blue Blue Blue\nGreen Green Red Red Yellow Yellow Blue Blue\nGreen Green Red Red Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Green Green Yellow Yellow\nBlue Blue Blue Blue Green Green Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Pink Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Orange\nBlack Black Black Orange Black Orange Black\nBlack Black Black Black Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Gray\nBlack Black Black Gray Black Black Black Gray Black\nBlack Black Black Black Gray Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Gray Black Black\nBlack Black Black Gray Black Black Black Gray Black\nBlack Black Gray Black Black Black Black Black Gray\nBlack Gray Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Green\nBlack Orange Orange Black Purple Purple Purple Black Black Black Black Black Black Yellow\nBlack Gray Black Black Purple Purple Purple Black Brown Brown Black Black Black Blue\nBlack Gray Black Black Purple Purple Purple Black Black Black Black Black Black Brown\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nOrange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange Yellow\nOrange Gray Orange Orange Purple Purple Purple Orange Brown Brown Orange Orange Orange Blue\nOrange Gray Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange Brown\nOrange Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red\nOrange 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 Brown\nBlack Black Black Black Black Blue Black Purple\nBlack Black Black Black Black Blue Black Orange\nBlack Black Green Green Green Blue Black Yellow\nRed Red Red Black Black Black Black Pink\nRed Red Red Black Black Black Black Green\nRed Red Red Orange Orange Orange Black Gray\nBlack Black Black Black Black Black Black Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Brown\nBlue Blue Blue Blue Blue Blue Blue Purple\nBlue Blue Blue Blue Blue Blue Blue Orange\nBlue Blue Green Green Green Blue Blue Yellow\nRed Red Red Blue Blue Blue Blue Pink\nRed Red Red Blue Blue Blue Blue Green\nRed Red Red Orange Orange Orange Blue Gray\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Blue Blue Black Black Black Black Black Black Black Green\nBlack Black Blue Blue Black Black Black Brown Black Black Black Orange\nBlack Black Blue Blue Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Gray Black Black Black Black Black Black Black Yellow\nBlack Black Black Gray Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Green\nGray Gray Blue Blue Gray Gray Gray Brown Gray Gray Gray Orange\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red\nGray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Orange Black Black Black Red\nBlack Black Black Yellow Yellow Black Black Black Brown\nBlack Black Pink Pink Orange Black Black Black Blue\nBlack Black Gray Gray Gray Black Brown Brown Orange\nBlack Black Gray Gray Gray Black Brown Brown Green\nBlack Black Black Black Black Black Brown Brown Pink\nBlack Black Black Black Black Black Black Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Yellow\nPurple Purple Purple Purple Orange Purple Purple Purple Red\nPurple Purple Purple Yellow Yellow Purple Purple Purple Brown\nPurple Purple Pink Pink Orange Purple Purple Purple Blue\nPurple Purple Gray Gray Gray Purple Brown Brown Orange\nPurple Purple Gray Gray Gray Purple Brown Brown Green\nPurple Purple Purple Purple Purple Purple Brown Brown Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black\nBlack Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 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\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 Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Orange Black Orange Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Orange Black Orange Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Orange Black Orange Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Orange Black Orange Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange 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 Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink\nBlack Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink 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\n\n\nExample 2\nInput:\nOrange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black\nBlack Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange\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\nGray Gray Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Gray Gray\nGray Gray Gray Gray Black Black Black Black Gray Gray\nGray Gray Gray Gray Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nGray Gray Black Black Gray Gray Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray 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\nPink Pink Black Black Black Black\nPink Pink 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 Pink Pink Black Black\nBlack Black Pink Pink 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Orange Orange Black Orange Black Black\nBlack Yellow Yellow Black Black Pink Pink Orange Black Black\nBlack Yellow Yellow Black Orange Pink Pink Black Black Black\nBlack Yellow Yellow Black Orange Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Red Red Red\nBlack Blue Blue Black Black Black Black Red Red Red\nBlack Blue Blue Black Black Black Black Pink Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Blue Blue Black Blue Black Black\nBlack Blue Blue Black Black Blue Blue Blue Black Black\nBlack Blue Blue Black Blue Blue Blue Black Black Black\nBlack Blue Blue Black Blue Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Blue Blue Blue\nBlack Blue Blue Black Black Black Black Blue Blue Blue\nBlack Blue Blue Black Black Black Black Red Black Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Pink Pink Red Pink\nRed Red Black Black Black Black Black Black Black Black\nPink Pink Black Black Red Red Red Black Black Black\nBlue Blue Black Black Blue Black Pink Pink Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Blue Black Black\nBlack Black Black Black Black Orange Orange Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Red Red\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Red Red Red Black Black Black\nBlue Blue Black Black Red Black Blue Blue Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\n\n\nExample 3\nInput:\nPink Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nPink Blue Black Yellow Red Black Black Black Black Black\nBlack Black Black Red Pink Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Blue Blue\nBlack Black Black Black Black Black Red Black Red Red\nBlack Orange Orange Yellow Blue Black Red Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nRed Blue Black Red Red Black Black Black Black Black\nBlack Black Black Red Red Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue Black Blue Blue\nBlack Blue Blue Red Red Black Blue Black Black Black\nBlack Black Black Black Black Black Red 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 Yellow Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Orange Orange Orange Black\nBlack Yellow Black Black Black Blue Orange Black Orange Black\nBlack Yellow Black Red Black Black Black Orange Orange Black\nBlack Yellow Black Yellow Black Black Black Blue Blue Black\nBlack Pink Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Red Red Red Black\nBlack Red Black Black Black Blue Red Black Red Black\nBlack Red Black Red Black Black Black Red Red Black\nBlack Red Black Red Black Black Black Blue Blue Black\nBlack Red Black Red Black Black Black Black Black Black\nBlack Black Black Red 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 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 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 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 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 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 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 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 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 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 Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 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 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 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 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 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 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 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 Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 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 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 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Black Red Black Black Black\nBlack Black Red Red Black Black Red Red Black Green\nBlack Blue Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Orange\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Black Purple Red Red Black Black\nBlack Black Red Black Black Black Black Red Black Black\nBlack Purple 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 Purple Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Red Black Purple Red Black Black Black\nBlack Black Red Red Red Purple Red Red Black Green\nBlack Blue Red Red Red Purple Red Red Green Black\nBlack Black Blue Red Red Purple Red Green Black Black\nBlack Red Red Red Red Purple Green Red Purple Black\nBlack Black Red Red Blue Green Red Orange Black Black\nBlack Black Red Red Red Blue Red Red Orange Black\nBlack Black Red Red Red Red Red Red Black Orange\nBlack Black Red Red Purple Red Red Red Black Black\nBlack Black Red Purple Black Purple Red Red Black Black\nBlack Black Purple Black Black Black Black Red Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Purple Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Brown Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Red\nBlack Black Brown Brown Black Brown Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Black Brown Black Black Black Black\nBlack Green Black Black Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Purple Black Yellow Black Black Black Red Black Black Black Black Black\nBlack Black Purple Black Yellow Black Brown Brown Red Black Black Black Black\nBlack Black Brown Purple Black Yellow Brown Brown Brown Red Brown Black Black\nBlack Black Brown Brown Purple Brown Yellow Brown Red Brown Red Black Black\nBlack Black Brown Brown Brown Purple Brown Yellow Brown Red Black Red Black\nBlack Black Brown Brown Brown Brown Purple Brown Red Brown Brown Black Red\nBlack Black Brown Green Black Brown Brown Purple Brown Brown Brown Black Black\nBlack Black Green Black Black Green Brown Brown Brown Black Black Black Black\nBlack Green Black Black Green Black Black Brown Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Orange Black Black Red Black Black Black Black Black Black\nBlack Black Yellow Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Brown Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nGreen Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Pink Black\nBlack Green Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black Red Black Black Black Black Black Black\nBlack Black Yellow Orange Black Red Black Black Black Black Black Black\nBlack Black Gray Yellow Orange Red Gray Black Black Black Black Black\nBlack Black Gray Gray Yellow Red Pink Gray Brown Black Black Black\nBlack Black Green Gray Gray Red Orange Brown Gray Gray Black Black\nBlack Green Gray Gray Gray Gray Brown Gray Pink Black Black Black\nGreen Black Gray Green Gray Brown Gray Gray Gray Pink Black Black\nBlack Black Green Gray Gray Gray Green Gray Black Black Pink Black\nBlack Green Gray Gray Gray Gray Gray Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Blue Black\nGray Black Black Black Black Black Black Black\nBlack Yellow Brown Black Black Brown Black Black\nBlack Black Brown Brown Brown Brown Black Orange\nBlack Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Blue Black\nGray Black Black Black Black Blue Black Black\nBlack Gray Brown Black Blue Brown Black Black\nBlack Black Gray Blue Brown Orange Orange Orange\nBlack Black Brown Gray Brown Pink Black Black\nBlack Black Brown Brown Gray Purple Pink Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Blue Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Blue Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Blue Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Blue Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Blue Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Blue Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Blue Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Blue Pink Blue Pink Pink Pink Pink Pink Blue Pink Blue Pink Pink\nPink Blue Pink Blue Pink Pink Pink Pink Pink Blue Pink Blue Pink Pink\nPink Blue Pink Blue Pink Pink Pink Pink Pink Blue Pink Blue Pink Pink\nPink Blue Pink Blue Pink Pink Pink Pink Pink Blue Pink Blue Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Blue Pink Blue Pink Pink Pink Pink Pink Blue Pink Blue Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Blue Pink Blue Pink Pink Pink Pink Pink Blue Pink Blue Pink Pink\nPink Blue Pink Blue Pink Pink Pink Pink Pink Blue Pink Blue Pink Pink\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Red\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Red\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Red\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Red\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Red\n\n\nExample 3\nInput:\nRed Red Red Red Purple Red Red Red\nRed Red Red Red Purple Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Purple Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Orange Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Orange Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Orange Blue Blue Blue\nBlue Blue Blue Orange Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Orange Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Orange Blue Blue Blue\nBlue Blue Blue Orange Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Red\nBlack Black Black Black Yellow\nBlack Black Black Black Yellow\nBlack Pink Pink Black Yellow\nBlack Pink Pink Black Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nBlack 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 Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Gray Pink\nBlack Black Black Black Gray\nBlack Black Black Black Green\nBlack Red Red Black Green\nBlack Red Red Black Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green\nBlack Black Black Black Green\nBlack Black Black Black Green\nBlack Brown Brown Black Green\nBlack Brown Brown Black Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Brown Brown Brown Brown Black Black Green Green\nBlack Black Brown Brown Brown Brown Black Black Green Green\nBlack Black Brown Brown Brown Brown Black Black Green Green\nBlack Black Brown Brown Brown Brown Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray\nBlack Black Black Black Gray\nBlack Black Black Black Gray\nPink Pink Black Black Gray\nPink Pink 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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nPink Pink Pink Pink Black Black Black Black Gray Gray\nPink Pink Pink Pink Black Black Black Black Gray Gray\nPink Pink Pink Pink Black Black Black Black Gray Gray\nPink Pink Pink Pink Black Black Black Black Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black\nPink Black Black Black Black Pink Pink Pink Black Black Black Black Pink\nPink Pink Black Pink Pink Pink Black Black Black Black Black Black Pink\nBlack Pink Pink Pink Pink Black Black Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Pink Pink Black Black Pink Pink\nBlack Pink Pink Pink Black Pink Pink Pink Black Black Black Black Black\nPink Pink Black Black Black Black Pink Black Pink Black Black Pink Black\nBlack Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Pink Pink 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 Pink Black Black Black Black Black\nPink Black Black Black Black Pink Pink Pink Black Black Black Black Black\nPink Pink Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Pink Pink Black Black Black Black\nBlack Pink Pink Pink Black Pink Pink Pink Black Black Black Black Black\nPink Pink Black Black Black Black Pink Black Pink Black Black Black Black\nBlack Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Black Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black 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 Brown Brown Black Black\nBlack Black Brown Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Brown Black\nBrown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Brown 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Pink Pink Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Pink Black Pink Black Black Black Black Black Black Pink\nBlack Black Black Black Pink Black Pink Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Pink Pink Pink Black Pink Pink 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 Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Pink Pink 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 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\nPink Pink Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Black Black Black Black Black\nOrange 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\nOutput:\nOrange Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nGray 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:\nGray Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nPink Pink 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\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nPink Pink Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow\nGreen Yellow Yellow Green Green Green Green Green Green Yellow Green\nGreen Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nYellow Green Yellow Yellow Green Green Green Green Yellow Yellow Yellow\nYellow Green Yellow Green Yellow Yellow Yellow Yellow Green Yellow Yellow\nYellow Green Yellow Green Yellow Green Green Yellow Green Yellow Yellow\nYellow Green Yellow Green Yellow Green Green Yellow Green Yellow Yellow\nYellow Green Yellow Green Yellow Yellow Yellow Yellow Green Yellow Yellow\nYellow Green Yellow Yellow Green Green Green Green Yellow Yellow Yellow\nGreen Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nGreen Green Yellow Green Green Green Green Green Green Yellow Green\nYellow Yellow Green Green Green Green Green Green Green Green Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Black 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\nOutput:\nGreen Yellow Yellow Green Green Green Green Green Green Yellow Green\nGreen Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nYellow Green Yellow Yellow Green Green Green Green Yellow Yellow Yellow\nYellow Green Yellow Green Yellow Yellow Yellow Yellow Green Yellow Yellow\nYellow Green Yellow Green Yellow Green Green Yellow Green Yellow Yellow\nYellow Green Yellow Green Yellow Green Green Yellow Green Yellow Yellow\nYellow Green Yellow Green Yellow Yellow Yellow Yellow Green Yellow Yellow\nYellow Green Yellow Yellow Green Green Green Green Yellow Yellow Yellow\nGreen Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nYellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Green\nYellow Yellow Green Green Green Green Green Green Yellow\nYellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Yellow Yellow Green Green Green Green Yellow Green\nGreen Yellow Green Yellow Yellow Yellow Yellow Green Green\nGreen Yellow Green Yellow Green Green Yellow Green Green\nGreen Yellow Green Yellow Green Green Yellow Green Green\nGreen Yellow Green Yellow Yellow Yellow Yellow Green Green\nGreen Yellow Yellow Green Green Green Green Yellow Green\nYellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow 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 Gray 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 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\nGray Gray Gray Gray Gray Gray Gray Gray Black 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\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Green Yellow Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow Green Yellow Green Yellow\nGreen Yellow Green Green Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Green Green Yellow Yellow\nGreen Yellow Green Yellow Green Yellow Yellow Green Green Green Green Yellow Yellow Green Yellow Green Yellow Yellow\nGreen Yellow Green Yellow Green Yellow Green Yellow Yellow Yellow Yellow Green Yellow Green Yellow Green Yellow Yellow\nGreen Yellow Green Yellow Green Yellow Green Yellow Green Green Yellow Green Yellow Green Yellow Green Yellow Yellow\nGreen Yellow Green Yellow Green Yellow Green Yellow Green Green Yellow Green Yellow Green Yellow Green Yellow Yellow\nGreen Yellow Green Yellow Green Yellow Green Yellow Yellow Yellow Yellow Green Yellow Green Yellow Green Yellow Yellow\nGreen Yellow Green Yellow Green Yellow Yellow Green Green Green Green Yellow Yellow Green Yellow Green Yellow Yellow\nYellow Green Yellow Green Green Yellow Green Green Green Green Green Green Yellow Green Green Yellow Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow\nBlack Black Brown Black Yellow\nBlack Brown Blue Brown Yellow\nBlack Black Brown Black Yellow\nYellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Brown Black Black Brown Black\nBrown Blue Brown Brown Blue Brown\nBlack Brown Black Black Brown Black\nBlack Brown Black Black Brown Black\nBrown Blue Brown Brown Blue Brown\nBlack Brown Black Black Brown Black\n\n\nExample 2\nInput:\nGreen Green Green Green Green\nBlack Brown Black Brown Green\nBlack Brown Brown Brown Green\nBlack Red Brown Red Green\nGreen Green Green Green Green\n\nOutput:\nBrown Black Brown Brown Black Brown\nBrown Brown Brown Brown Brown Brown\nRed Brown Red Red Brown Red\nBrown Black Brown Brown Black Brown\nBrown Brown Brown Brown Brown Brown\nRed Brown Red Red Brown Red\n\n\nExample 3\nInput:\nGreen Green Green Green Green\nBlack Blue Blue Blue Green\nBlack Black Red Black Green\nBlack Black Purple Black Green\nGreen Green Green Green Green\n\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlack Red Black Black Red Black\nBlack Purple Black Black Purple Black\nBlue Blue Blue Blue Blue Blue\nBlack Red Black Black Red Black\nBlack Purple Black Black Purple Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray\nBlack Green Orange Brown Gray\nBlack Black Green Green Gray\nBlack Green Orange Brown Gray\nGray 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```\nGreen Orange Brown Green Orange Brown\nBlack Green Green Black Green Green\nGreen Orange Brown Green Orange Brown\nGreen Orange Brown Green Orange Brown\nBlack Green Green Black Green Green\nGreen Orange Brown Green Orange Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black Black Black Black Black Black Purple\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 Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple 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 Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple 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\nExample 2\nInput:\nOrange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Orange\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 Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Orange Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Black\nRed Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Orange Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red 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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Orange Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Orange Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Green Green Red Black Green Black Black Black Black Green Black\nBlack Green Green Green Black Green Black Black Black Black Green Black\nBlack Red Green Black Black Green Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Gray Black Black Red Black\nBlack Black Black Black Black Red Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nRed Red Black Black Black Black Black Black Black Black Red Black\nBlack Green Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Yellow Blue Black Yellow Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Blue Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Black Black Black Black Green Black Black Black Black\nGreen Black Black Black Black Green Black Gray Green Green\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Gray Black Black Black Black Black\nBlack Black Green Green Gray Black Black Black Red Green\n\nOutput:\nYellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Yellow\n\n\nExample 3\nInput:\nBlack Black Black Green Black Red Green Green Green\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Green Green Red Red\nBlack Red Black Black Black Black Black Black Black\nBlack Red Black Red Black Gray Black Red Red\nBlack Red Black Red Black Red Black Red Red\nBlack Gray 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\n\nOutput:\nBlack Black Black Yellow Black Blue Black Black Yellow\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Blue\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Gray Black Black Blue\nBlack Black Black Black Black Blue Black Black Black\nBlack Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Red Red Black\nBlack Black Black Red Black Black Red Red Black\nBlack Black Black Gray Black Black Black Black Black\nRed Red Black Gray Black Black Gray Black Black\nRed Red Black Red Black Black Gray Black Black\nRed Red Black Black Black Black Gray Black Black\nRed Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Gray\nBlack Black Black Gray Gray Gray Black Red Gray\nBlack Black Black Gray Red Gray Black Red Gray\nBlack Black Black Gray Black Gray Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Blue Black Black Black Black Gray Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Gray\nBlack Black Black Black Black Gray Black Blue Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red Green Green Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red Green Green Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Pink Pink Red Red Green Green Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Pink Pink Red Red Green Green Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red Green Green Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red Green Green Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green 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\nGreen 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Red Red\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Red Red\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nRed Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Green Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red Green Green Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red Green Green Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Red Red Green Green Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Red Red Green Green Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red Green Green Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red Green Green Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Blue Blue Green Green Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Gray Gray Red Red\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Gray Gray Red Red\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Yellow Yellow Blue Blue Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nOrange Orange Yellow Yellow Blue Blue Green Green 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 Green Black Blue Black Black\nBlack Black Black Black Yellow Black Black Black Black Orange Pink Black\nBlack Black Purple Black Pink Black Purple Black Black Black Black Black\nBlack Black Black Yellow 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 Purple Black Blue Black Black\nBlack Black Purple Purple Orange Black Black Black Black Black Brown Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\n\nOutput:\nGreen Yellow Yellow Yellow Green Yellow Green Green Black Blue Black Green\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Pink Green\nYellow Yellow Purple Black Pink Green Purple Yellow Black Green Yellow Yellow\nYellow Black Green Yellow Brown Yellow Green Yellow Yellow Green Green Green\nYellow Black Black Yellow Green Yellow Brown Brown Yellow Black Yellow Orange\nYellow Black Yellow Green Purple Yellow Green Purple Green Blue Black Green\nYellow Yellow Purple Purple Orange Green Black Yellow Black Green Brown Green\nGreen Yellow Green Green Black Blue Green Yellow Yellow Yellow Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Orange Brown Black Purple Black\nBlack Black Black Yellow Black Black Brown Black Black Black\nBlack Pink Black Blue Black Black Black Black Black Black\nPurple Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nGray Black Green Black Black Black Blue Black Black Blue\nBlack Black Black Blue Black Black Black Purple Black Black\n\nOutput:\nGreen Yellow Yellow Green Green Orange Brown Black Purple Black\nYellow Yellow Yellow Yellow Yellow Green Brown Yellow Yellow Yellow\nBlack Pink Green Blue Yellow Black Yellow Black Black Yellow\nPurple Green Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Yellow Yellow Black Black Black Yellow Yellow Gray Black\nGray Green Green Green Black Yellow Blue Green Green Blue\nBlack Yellow Black Blue Green Yellow Black Purple Green Black\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Purple Black Black Black Black\nBlue Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black\nBlack Black Gray Brown Black Black Black Black Black Black Purple\nBlack Black Black Black Pink Black Gray Yellow Black Orange Blue\nBlack Black Black Black Black Black Black Brown Black Black Green\n\nOutput:\nBrown Green Yellow Green Yellow Green Purple Green Yellow Yellow Green\nBlue Yellow Yellow Pink Yellow Black Green Black Black Black Yellow\nGreen Black Black Green Black Yellow Gray Yellow Black Black Yellow\nYellow Black Green Red Yellow Black Yellow Black Black Black Green\nYellow Yellow Gray Brown Green Black Yellow Yellow Black Green Purple\nYellow Black Yellow Green Pink Green Gray Yellow Green Orange Blue\nGreen Yellow Yellow Yellow Green Yellow Black Brown Green Black Green\n\n\nHere is the input grid for the test example:\nInput:\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\nBlack 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 Black Black\nBlack Black Gray Black Black Black Black Black Yellow\nBlack Black Black Black Brown 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```\nGreen Yellow Yellow Yellow Green Gray Yellow Black Green\nYellow Black Yellow Black Yellow Brown Black Orange Green\nYellow Yellow Brown Yellow Black Yellow Black Yellow Yellow\nYellow Black Green Black Black Black Black Black Yellow\nYellow Yellow Pink Yellow Yellow Yellow Black Black Yellow\nYellow Yellow Yellow Yellow Blue Pink Yellow Black Yellow\nGreen Pink Green Black Yellow Yellow Black Black Green\nYellow Green Gray Yellow Yellow Black Black Yellow Yellow\nGreen Yellow Green Green Brown Green Yellow Green Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack 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 Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow 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 Pink\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Pink Black Black Black Black\nBlack Pink Black Black Black Black Black\nPink Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Orange Black Black Black Black Black\nOrange 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 Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black\nGray 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 Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Orange Green Green Orange Blue\nBlack Black Black Black Black Black Black Black Black Yellow Green Green Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Blue Orange Yellow Blue Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Blue Black\nBlack Black Black Black Black Black Black Black Green Orange Green Green Orange Blue\nBlack Black Black Black Black Black Black Blue Blue Yellow Green Green Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Blue Orange Yellow Blue Orange Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Gray Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Gray Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Gray Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Purple Purple Pink Black\nBlack Black Pink Pink Yellow Yellow Purple Purple Black Black\nBlack Black Black Pink Yellow Blue Yellow Pink Black Black\nBlack Black Black Pink Yellow Yellow Yellow Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Black Black Pink Pink 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 Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Purple Purple Pink Black\nBlack Black Pink Pink Yellow Yellow Purple Purple Pink Black\nBlack Pink Pink Pink Yellow Blue Yellow Pink Pink Pink\nBlack Black Pink Pink Yellow Yellow Yellow Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Gray Gray Black Yellow Yellow Black Black Black Black Black Black\nBlack Gray Gray Blue Blue Black Black Black Black Black Black Black\nBlack Gray Gray Blue Blue Yellow Black Black Black Black Black Black\nBlack Gray Gray Yellow Black Yellow Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Yellow Purple Black Black Black Black Black Black\nPurple Gray Gray Gray Yellow Yellow Black Black Black Black Black Black\nPurple Gray Gray Blue Blue Purple Purple Black Black Black Black Black\nBlack Gray Gray Blue Blue Yellow Purple Black Black Black Black Black\nBlack Gray Gray Yellow Purple Yellow Purple Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Gray Blue Blue Brown Gray Gray Blue Blue Blue\nBlue Blue Blue Orange Red Orange Orange Blue Blue Gray\nGray Blue Blue Green Green Yellow Gray Pink Pink Orange\nOrange Pink Pink Brown Brown Gray Gray Gray Pink Orange\n\nOutput:\nBrown Red Green Brown Gray Yellow Orange Gray\nBlue Orange Green Brown Gray Gray Orange Gray\nBlue Blue Blue Pink Gray Pink Blue Blue\nGray Blue Blue Pink Pink Pink Blue Blue\nBlue Blue Gray Orange Orange Orange Gray Blue\n\n\nExample 2\nInput:\nOrange Yellow Yellow Blue Purple Blue Pink Pink\nGreen Purple Pink Blue Purple Blue Pink Yellow\nGreen Orange Blue Orange Gray Green Green Green\nOrange Orange Orange Orange Gray Gray Purple Yellow\nRed Red Orange Orange Red Yellow Purple Yellow\n\nOutput:\nBlue Blue Orange Orange Orange Red Gray Gray Purple Purple\nYellow Pink Blue Orange Orange Yellow Gray Green Blue Blue\nYellow Purple Orange Orange Red Purple Purple Green Pink Pink\nOrange Green Green Orange Red Yellow Yellow Green Yellow Pink\n\n\nExample 3\nInput:\nRed Pink Pink Orange Gray Gray Yellow Gray\nRed Red Red Purple Gray Green Green Gray\nOrange Pink Blue Blue Blue Gray Green Purple\nRed Red Yellow Purple Blue Brown Brown Purple\nOrange Green Yellow Yellow Orange Orange Brown Orange\n\nOutput:\nOrange Purple Blue Purple Yellow Orange Blue Blue Gray Gray\nPink Red Blue Yellow Yellow Orange Brown Gray Green Gray\nPink Red Pink Red Green Brown Brown Green Green Yellow\nRed Red Orange Red Orange Orange Purple Purple Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlue Pink Red Red Pink Red\nBlue Blue Yellow Pink Pink Blue\nPink Blue Purple Brown Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Yellow Purple Brown Pink Red\nPink Blue Blue Yellow Pink Pink\nBlue Blue Pink Yellow Blue Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Pink Yellow Pink Orange Purple\nGreen Brown Orange Pink Gray Purple\nGray Orange Brown Orange Orange Green\nOrange Purple Gray Pink Blue Orange\nGreen Orange Orange Red Purple Yellow\nGreen Green Green Purple Blue Orange\n\nOutput:\nPurple Purple Blue Orange Red Orange\nOrange Gray Orange Yellow Purple Yellow\nPink Pink Orange Pink Green Purple\nRed Orange Brown Gray Orange Blue\nPink Brown Orange Purple Orange Blue\nBrown Blue Gray Orange Blue Blue\n\n\nExample 2\nInput:\nRed Blue Yellow Orange Pink\nRed Gray Blue Pink Green\nBrown Purple Blue Brown Orange\nPurple Purple Brown Brown Gray\nOrange Blue Orange Pink Brown\n\nOutput:\nPink Blue Orange Gray Brown\nOrange Pink Brown Brown Pink\nRed Yellow Yellow Brown Orange\nYellow Gray Purple Purple Yellow\nGreen Green Brown Purple Orange\n\n\nExample 3\nInput:\nYellow Yellow Brown Gray Orange\nPurple Orange Blue Green Red\nBlue Pink Gray Orange Pink\nPurple Green Orange Yellow Purple\nOrange Green Brown Blue Blue\n\nOutput:\nOrange Green Pink Purple Yellow\nGray Blue Orange Red Yellow\nBrown Yellow Gray Orange Brown\nRed Orange Pink Blue Blue\nRed Purple Yellow Purple Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Brown Pink Green Gray Pink Gray\nPink Gray Pink Gray Pink Blue Brown\nPurple Pink Pink Pink Orange Brown Brown\nGray Pink Orange Orange Blue Yellow Brown\nOrange Purple Red Brown Pink Red Blue\nOrange Gray Green Purple Yellow Orange Blue\nPurple Orange Brown Green Green Pink 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```\nGray Brown Brown Brown Yellow Yellow Green\nPink Yellow Brown Red Green Orange Pink\nGray Pink Orange Yellow Pink Red Blue\nBlue Gray Pink Orange Brown Purple Blue\nPink Pink Pink Orange Green Blue Brown\nBrown Gray Pink Pink Purple Gray Orange\nGray Pink Purple Gray Orange Orange Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGreen Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGreen Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGreen Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nOrange Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Orange Orange Black Orange Black Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Yellow Black Black Orange Orange Black Orange\nOrange Orange Yellow Yellow Yellow Black Orange Orange Orange Orange\nOrange Orange Black Yellow Black Orange Orange Black Orange Orange\nOrange Orange Orange Black Black Black Black Orange Orange Black\nOrange Orange Orange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Black Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\n\n\nExample 2\nInput:\nGreen Green Green Black Green Green Black Black Green Black\nGreen Green Green Green Green Green Green Black Yellow Black\nGreen Black Green Green Green Green Black Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Black Yellow Black\nGreen Green Black Green Black Green Green Green Black Green\nGreen Green Green Black Black Green Green Green Green Black\nGreen Green Black Green Green Green Green Black Green Green\nGreen Green Green Green Black Black Green Green Green Green\nGreen Black Green Green Green Black Green Green Green Green\nGreen Black Green Green Green Green Green Black Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Green Green Green Green Green Green\nGreen Black Green Black Green Green Green Black Green Green\nGreen Black Black Green Black Green Black Green Black Green\nGreen Green Green Black Green Black Green Green Green Black\nGreen Black Green Green Green Green Green Black Green Green\nGreen Green Green Green Green Black Green Black Yellow Black\nBlack Green Green Green Green Green Black Yellow Yellow Yellow\nBlack Green Green Green Green Green Black Black Yellow Black\nGreen Green Green Green Black Green Green Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Black Pink Black\nPink Pink Pink Pink Black Pink Pink Pink Black Pink\nPink Black Black Yellow Black Black Black Pink Pink Pink\nPink Pink Yellow Yellow Yellow Pink Pink Pink Pink Pink\nPink Pink Black Yellow Black Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Black Pink Black Pink Black Black Pink Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Black Black Pink\nPink Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black\nBlack Black Brown Purple Brown Black Black Black\nBlack Black Brown Brown Brown Black Black Black\nBlack Green Green Green Brown Brown Black Black\nBlack Green Green Green Pink Orange Blue Black\nBlack Green Green Green Gray Orange Blue Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Orange Blue Black Black Black\nBlack Blue Blue Black Purple Purple Purple Purple 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 Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black\nBlack Black Black Orange Orange Purple Black Black\nBlack Black Black Pink Brown Green Black Black\nBlack Blue Black Gray Gray Gray Black Black\nBlack Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Blue 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 Yellow 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Orange Green Black Yellow Black\nBlack Black Orange Green Black Yellow Black\nBlack Black Black Black Black Yellow Black\nBlack Pink Green Green Pink Yellow Black\nBlack Green Green Green Green 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 Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red\nOrange Orange Orange Orange\nGreen Orange Orange Green\nOrange Orange Orange Orange\nRed Red Red Red\n\nOutput:\nBlue Blue Blue Blue\nOrange Orange Orange Orange\nRed Orange Orange Red\nOrange Orange Orange Orange\nBlue Blue Blue Blue\n\n\nExample 2\nInput:\nGreen Yellow Yellow Green\nRed Yellow Yellow Red\nRed Orange Orange Red\nRed Red Red Red\nRed Red Red Red\n\nOutput:\nRed Yellow Yellow Red\nBlue Yellow Yellow Blue\nBlue Orange Orange Blue\nBlue Blue Blue Blue\nBlue Blue Blue Blue\n\n\nExample 3\nInput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nGreen Green Green Green\n\nOutput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nRed Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown\nGreen Yellow Yellow Green\nGreen Orange Orange Green\nRed Orange Orange Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown\nRed Yellow Yellow Red\nRed Orange Orange Red\nBlue Orange Orange Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Blue Orange Blue Black\nBlack Black Brown Brown Yellow Black Black\nBlack Black Black Black Black Blue 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 Orange Black Black\nBlack Black Black Blue Orange Blue Black\nBlack Black Brown Brown Yellow Black Black\nBlack Black Black Black Black Purple 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Yellow Blue Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black\nBlack Black Black Blue Blue Blue 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 Blue Black Black Black Black Black\nBlack Yellow Blue Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Brown Black\nBlack Black Black Black Black Black Black Brown 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 Purple Black Black Black\nBlack Black Black Black Black Black Blue Brown Black\nBlack Black Black Black Black Black Black Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Yellow Yellow Black Black Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\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 Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Gray Black Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Black Black\nBlack Gray Black Gray Gray Gray 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Orange Black Black Black Black Black Black Gray Black Black Black Orange Black Pink Black Black Black Black\nGray Pink Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Red Black Pink Blue Black Black Black Black Black\nBlack Black Black Orange Black Black Black Orange Black Black Black Purple Black Black Pink Black Black Yellow Black Purple Black Black\nBlack Pink Black Black Black Black Black Black Orange Black Black Black Black Pink Black Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Yellow Orange Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Orange Pink Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Pink Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Pink Orange Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Pink Black Orange Black Black Orange Blue Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Pink Black Black Black Black Black Black Orange Black Black Pink Black Black Black Black\nBlack Black Purple Black Black Black Pink Red Black Black Black Black Black Black Black Orange Black Orange Black Black Black Black\nBlack Brown Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Orange Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Purple Black Black Black Orange Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black\nBlack Pink Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nPink Black Black Black Black Black Black Black Purple Black Black Black Black Black Green Black Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Black Orange Black Black Black Black Black Black Gray Black Black Black Orange Black Pink Pink Black Black Black\nGray Pink Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Red Black Pink Blue Black Black Black Black Black\nBlack Black Black Orange Black Black Black Orange Black Black Black Purple Black Black Pink Pink Black Yellow Black Purple Black Black\nBlack Pink Black Black Black Black Black Black Orange Black Black Black Black Pink Pink Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Yellow Orange Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Orange Pink Pink Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Pink Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Orange Pink Orange Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Pink Black Orange Orange Black Orange Blue Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Pink Black Black Black Black Orange Black Orange Black Black Pink Black Black Black Black\nBlack Black Purple Black Black Black Pink Red Black Black Black Black Black Orange Black Orange Black Orange Black Black Black Black\nBlack Brown Black Black Black Pink Black Black Black Black Black Black Black Black Orange Black Orange Black Black Black Orange Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Purple Black Orange Black Orange Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Orange Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Orange Black Orange Black Black\nBlack Pink Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Orange Black\nPink Black Black Black Black Black Black Black Purple Black Black Black Black Black Green Black Black Black Black Orange Black Orange\n\n\nExample 2\nInput:\nBlack Black Black Orange Black Black Black Black Red Black Black Black Red Black Black Black Yellow Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Purple Black Orange Yellow Black Black Black Black\nPurple Black Black Black Black Orange Black Black Black Black Black Green Black Black Yellow Black Black Black Pink Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Orange Black Black Black Black Yellow Black Black Black Black Black Black Purple\nBlack Black Black Black Purple Black Black Green Orange Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Brown Black Black Black Orange Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Yellow Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Gray Black Black Pink Orange Black Black Brown Black Black Black Blue\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Orange Black Black Black Black Black Orange\nBlack Black Black Black Black Yellow Black Black Blue Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Green Black Orange Black Black Black Black\nBlack Black Black Yellow Black Yellow Pink Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Yellow Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nGray Yellow Black Black Brown Purple Blue Black Black Black Black Black Black Black Black Black Black Black Orange Black\nYellow Black Black Black Black Black Pink Purple Black Black Black Black Black Black Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Orange Black Black Black Black Red Black Black Black Red Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Purple Black Orange Yellow Yellow Black Black Black\nPurple Black Black Black Black Orange Black Black Black Black Black Green Black Black Yellow Yellow Black Black Pink Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBrown Black Black Black Black Black Black Orange Black Black Black Black Yellow Yellow Black Black Black Black Black Purple\nBlack Black Black Black Purple Black Black Green Orange Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Green Black Black Black Brown Black Black Black Orange Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Yellow Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Gray Black Orange Pink Orange Black Black Brown Black Black Black Blue\nBlack Black Black Black Black Black Yellow Black Black Black Black Orange Black Orange Black Black Black Black Black Orange\nBlack Black Black Black Black Yellow Black Black Blue Black Black Black Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Green Black Orange Black Black Black Black\nBlack Black Black Yellow Black Yellow Pink Black Black Black Black Black Black Black Orange Black Orange Black Black Black\nBlack Black Yellow Gray Black Black Black Black Black Black Black Black Black Black Black Orange Black Orange Black Black\nGray Yellow Black Black Brown Purple Blue Black Black Black Black Black Black Black Black Black Orange Black Orange Black\nYellow Black Black Black Black Black Pink Purple Black Black Black Black Black Black Black Black Black Orange Black Orange\n\n\nExample 3\nInput:\nBlack Black Purple Black Gray Black Black Black Black Black Black Black Black Black Gray Black Brown Black Black Black Brown\nBlack Black Black Green Black Gray Black Black Blue Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Brown Black Black Black Black Gray Black Black Black Black Black Black Red Brown Black Black Black Black Black Blue\nBlack Black Gray Black Black Black Black Gray Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Brown Orange Black Black Black Yellow Black Black Green\nBlack Black Black Black Black Black Black Black Yellow Gray Black Brown Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Green Black Gray Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Pink Black Brown Black Black Black Black Yellow Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Gray Black Black Black Purple Black Black\nBlack Brown Black Black Black Brown Black Black Black Black Black Blue Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Brown Pink Black Black Black Black Black Pink Black Black Black Black Gray Black Black Black Black\nBlack Black Blue Brown Black Black Black Black Black Black Black Black Black Orange Black Pink Black Gray Black Black Orange\nBlack Black Brown Green Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Gray Black Green\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBrown Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\n\nOutput:\nBlack Black Purple Black Gray Black Black Black Black Black Black Black Black Black Gray Black Brown Black Brown Black Brown\nBlack Black Black Green Black Gray Black Black Blue Black Black Black Black Black Black Brown Black Brown Black Black Black\nBlack Brown Black Black Black Black Gray Black Black Black Black Black Black Red Brown Black Brown Black Black Black Blue\nBlack Black Gray Black Black Black Black Gray Black Black Black Black Black Brown Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Brown Orange Brown Black Black Yellow Black Black Green\nBlack Black Black Black Black Black Black Black Yellow Gray Black Brown Black Brown Black Black Black Black Black Black Black\nBlue Black 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 Brown Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Green Black Gray Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Pink Black Brown Black Black Black Gray Yellow Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Gray Black Gray Black Black Black Purple Black Black\nBlack Brown Black Black Black Brown Black Black Black Black Black Blue Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Brown Pink Black Black Black Black Black Pink Black Black Gray Black Gray Black Black Black Black\nBlack Black Blue Brown Black Black Black Black Black Black Black Black Black Orange Black Pink Black Gray Black Black Orange\nBlack Black Brown Green Black Black Black Black Black Black Black Black Black Black Gray Black Gray Black Gray Black Green\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Black\nBrown Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Yellow Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Yellow Black Black Black Black Black Black Green Black Black Black Black Red Black Black Black Gray Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Purple Black Black Gray Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Green Black Gray Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Gray Black Black Black Yellow\nBlack Black Green Black Black Yellow Black Gray Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Blue Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Yellow Black Black Black Gray Black Black Orange Black Red Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Gray Black Black Brown Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Gray Black Yellow Black Black Black Black Black Black Black Black\nBlack Red Black Purple Black Black Black Gray Black Green Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Red Black Black Black Yellow Black Black Black Black Black\nBrown Black Black Black Gray Black Black Purple Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Green Black Black Black Black Black Yellow Black Black Black\nBlack Black Gray Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Gray Black Black Black Black Black Black Black Blue Black Red Black Black Black Black Black Yellow Black\nGray Black Black Black Black Black Black Green Black Gray Black Black Pink 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 Pink Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Yellow Black Black Green Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Gray Blue\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray\nBlack Yellow Black Black Black Black Black Black Green Black Black Black Black Red Black Gray Black Gray Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Purple Gray Black Gray Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Green Black Gray Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Gray Black Gray Black Black Black Yellow\nBlack Black Green Black Black Yellow Black Gray Black Black Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Blue Black Gray Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Yellow Black Gray Black Gray Black Black Orange Black Red Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Gray Black Black Brown Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Gray Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Gray Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Red Black Purple Black Black Black Gray Black Green Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Red Black Black Black Yellow Black Yellow Black Black Black\nBrown Black Black Black Gray Black Black Purple Black Black Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Gray Black Black Black Black Black Green Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Gray Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow\nBlack Gray Black Black Black Black Black Black Black Blue Black Red Black Black Black Black Black Yellow Black\nGray Black Black Black Black Black Black Green Black Gray Black Black Pink Black Black Black Black Black Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Green Green Black Black Black Black Black Green\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Blue Black Black Black\n\nOutput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue 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 Green Green Black\nBlack Black Black Black Black Blue Black Green Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Green 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 Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Black Black\nBlack Blue Black Black Black Black Black Green Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green\nBlack Black Black Black Black Black Blue Black Green Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Blue Blue Black Black Black Blue Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Green Green Black Blue Blue Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Green Green Black Blue\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Blue Blue Black Black Black Blue Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown 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 Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack 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 Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Red Red Red Red Red Red\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink\nBlack Black Black Black 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\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\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\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow 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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Pink Pink 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:\nYellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue\nYellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue\nGray Gray Brown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray\nGray Gray Brown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray\nYellow Yellow Green Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Purple Purple\nYellow Yellow Green Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Purple Purple\nPurple Purple Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow\nPurple Purple Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow\nOrange Orange Green Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green\nOrange Orange Green Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green\nPink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange\nPink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue\nPink Pink Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green\nPink Pink Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green\n\nOutput:\nPink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue Yellow Yellow\nPink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue Yellow Yellow\nBrown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nBrown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nGreen Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Purple Purple Yellow Yellow\nGreen Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Purple Purple Yellow Yellow\nYellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Purple Purple\nYellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Purple Purple\nGreen Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green Orange Orange\nGreen Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green Orange Orange\nGray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange Pink Pink\nGray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange Pink Pink\nOrange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue Green Green\nOrange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue Green Green\nBrown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green Pink Pink\nBrown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green Pink Pink\n\n\nExample 2\nInput:\nRed Red Purple Purple Gray Gray Pink Pink Gray Gray Yellow Yellow Purple Purple\nRed Red Purple Purple Gray Gray Pink Pink Gray Gray Yellow Yellow Purple Purple\nOrange Orange Blue Blue Green Green Red Red Pink Pink Blue Blue Purple Purple\nOrange Orange Blue Blue Green Green Red Red Pink Pink Blue Blue Purple Purple\nYellow Yellow Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink\nYellow Yellow Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink\nBlue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green Yellow Yellow\nBlue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green Yellow Yellow\nBrown Brown Brown Brown Purple Purple Purple Purple Brown Brown Pink Pink Orange Orange\nBrown Brown Brown Brown Purple Purple Purple Purple Brown Brown Pink Pink Orange Orange\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray\nYellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray\nYellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray\n\nOutput:\nPurple Purple Gray Gray Pink Pink Gray Gray Yellow Yellow Purple Purple Red Red\nPurple Purple Gray Gray Pink Pink Gray Gray Yellow Yellow Purple Purple Red Red\nBlue Blue Green Green Red Red Pink Pink Blue Blue Purple Purple Orange Orange\nBlue Blue Green Green Red Red Pink Pink Blue Blue Purple Purple Orange Orange\nOrange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Yellow Yellow\nOrange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Yellow Yellow\nOrange Orange Brown Brown Pink Pink Green Green Green Green Yellow Yellow Blue Blue\nOrange Orange Brown Brown Pink Pink Green Green Green Green Yellow Yellow Blue Blue\nBrown Brown Purple Purple Purple Purple Brown Brown Pink Pink Orange Orange Brown Brown\nBrown Brown Purple Purple Purple Purple Brown Brown Pink Pink Orange Orange Brown Brown\nOrange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray Red Red\nOrange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray Red Red\nBlue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray Yellow Yellow\nBlue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue\nRed Red Brown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow\nRed Red Brown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow\nBlue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange Purple Purple\nBlue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange Purple Purple\nPurple Purple Orange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink\nPurple Purple Orange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink\nBlue Blue Blue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink\nBlue Blue Blue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink\nOrange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple\nOrange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple\nBrown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink\nBrown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink\n\nOutput:\nBlue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue Yellow Yellow\nBlue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue Yellow Yellow\nBrown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow Red Red\nBrown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow Red Red\nGray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange Purple Purple Blue Blue\nGray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange Purple Purple Blue Blue\nOrange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink Purple Purple\nOrange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink Purple Purple\nBlue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink Blue Blue\nBlue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink Blue Blue\nGray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple Orange Orange\nGray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple Orange Orange\nYellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink Brown Brown\nYellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Yellow Yellow\nGray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Yellow Yellow\nGray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nGray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nBrown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nBrown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nYellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green\nYellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green\nBlue Blue Red Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange\nBlue Blue Red Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nGray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nPink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue Pink Pink\nPink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue 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"
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{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Yellow Yellow Gray Gray\nPurple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Yellow Yellow Gray Gray\nGray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue Gray Gray\nGray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue Gray Gray\nBrown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Purple Purple\nBrown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Purple Purple\nOrange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple Brown Brown\nOrange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple Brown Brown\nPurple Purple Green Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green Yellow Yellow\nPurple Purple Green Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green Yellow Yellow\nRed Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange Blue Blue\nRed Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange Blue Blue\nPurple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray Pink Pink\nPurple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray Pink Pink\nPink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink Gray Gray\nPink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink Gray Gray\nGray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue Pink Pink Pink Pink\nGray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue 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 Green Orange Black\nBlack Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Orange Orange Black\nBlack Green Black Black Black Black Black Black\nGreen Orange Purple Gray Black Gray Black Blue\nBlack Black Black Green Black Blue Black Orange\nGray Black Black Black Gray Blue Black Black\nPurple Orange Orange Purple Yellow Black Purple Black\n\nOutput:\nBlack Black Black Black Black Pink Blue Black\nBlack Black Black Black Black Black Blue Brown\nBlack Black Black Black Black Blue Blue Black\nBlack Pink Black Black Black Black Black Black\nPink Blue Red Yellow Black Yellow Black Orange\nBlack Black Black Pink Black Orange Black Blue\nYellow Black Black Black Yellow Orange Black Black\nRed Blue Blue Red Brown Black Red Black\n\n\nExample 2\nInput:\nBlack Black Gray Black Black Brown Black\nPink Black Black Black Gray Black Black\nBlack Black Gray Gray Black Black Black\nBrown Gray Black Black Black Black Brown\nPink Purple Black Black Black Black Black\nBlack Black Black Brown Black Black Brown\nBrown Black Black Black Black Black Gray\n\nOutput:\nBlack Black Yellow Black Black Gray Black\nGreen Black Black Black Yellow Black Black\nBlack Black Yellow Yellow Black Black Black\nGray Yellow Black Black Black Black Gray\nGreen Red Black Black Black Black Black\nBlack Black Black Gray Black Black Gray\nGray Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Brown Gray Black Brown Purple Black Pink\nOrange Black Black Black Black Yellow Black Black Purple\nRed Purple Black Black Orange Black Black Black Black\nBlack Black Black Black Black Pink Purple Black Black\nPurple Black Red Black Black Black Black Green Gray\nBrown Black Black Purple Black Brown Red Black Black\nBlack Black Black Black Blue Purple Black Blue Black\n\nOutput:\nBlack Black Gray Yellow Black Gray Red Black Green\nBlue Black Black Black Black Brown Black Black Red\nPurple Red Black Black Blue Black Black Black Black\nBlack Black Black Black Black Green Red Black Black\nRed Black Purple Black Black Black Black Pink Yellow\nGray Black Black Red Black Gray Purple Black Black\nBlack Black Black Black Orange Red Black Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Orange Brown Yellow Brown Black Black Black\nBlack Black Black Brown Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Purple\nBlue Black Black Black Black Black Blue Black Black\nOrange Purple Black Black Blue Black Brown Black Black\nBlack Brown Brown Black Brown Black Orange Red Orange\nBlack Yellow Orange Purple Black Blue Black Yellow Blue\nPurple Black Blue Black Black Black Red Black Black\nBlack Black Blue Orange Purple Black 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```\nBlack Black Blue Gray Brown Gray Black Black Black\nBlack Black Black Gray Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Red\nOrange Black Black Black Black Black Orange Black Black\nBlue Red Black Black Orange Black Gray Black Black\nBlack Gray Gray Black Gray Black Blue Purple Blue\nBlack Brown Blue Red Black Orange Black Brown Orange\nRed Black Orange Black Black Black Purple Black Black\nBlack Black Orange Blue Red Black Blue Black Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Black Black Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Gray\nBlack Black Blue Black Black Black Black Blue Black Black Black Black Gray\nBlack Black Black Blue Black Blue Blue Black Black Blue Black Black Gray\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Gray\nBlue Black Black Blue Black Black Blue Black Black Black Blue Black Gray\nBlack Black Blue Black Black Black Black Black Black Black Black Black Gray\nBlue Black Black Black Black Blue Blue Blue Blue Black Black Black Blue\nBlack Black Black Black Black Black Blue Black Black Black Black Black Gray\nBlack Black Blue Blue Black Blue Blue Black Black Black Blue Black Gray\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Blue Black Black\nBlack Black Blue Black Black Black Black Black Black Black Blue Blue\nBlack Blue Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Blue Black Blue Black Blue Gray\nBlue Black Black Black Black Blue Black Black Black Black Black Gray\nBlack Black Blue Black Black Black Black Black Blue Black Black Gray\nBlack Black Blue Blue Blue Black Black Black Black Black Black Blue\nBlue Blue Blue Black Black Black Blue Blue Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Blue Blue Black Gray\nBlack Blue Blue Black Blue Black Black Black Black Black Black Gray\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Black Black Blue Black Black Black Blue\nBlue Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Blue Black Black Black Blue\nBlack Black Black Blue Black Blue Black Black Blue Black Black Black Black Black\nBlue Black Black Black Black Black Black Blue Blue Black Black Black Blue Blue\nBlack Black Black Blue Black Black Black Blue Black Black Black Black Black Gray\nBlack Black Blue Blue Black Black Blue Black Black Black Black Black Black Gray\nBlue Blue Black Black Blue Black Black Black Black Black Blue Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Gray\nBlack Blue Black Black Blue Blue Black Blue Black Black Black Black Black Gray\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Blue\nBlack Black Black Black Blue Black Black Black Blue Black Black Black Black Gray\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Blue Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Black Blue\nBlack Blue Black Black Black Black Black Black Black Blue Black Black Black Gray\nBlack Black Black Blue Blue Black Black Black Blue Black Black Black Black Gray\nBlack Blue Black Black Blue Black Black Black Black Black Black Blue Blue Gray\nBlack Black Black Black Black Black Blue Black Black Blue Black Black Black Blue\nBlack Black Blue Black Black Black Blue Black Black Blue Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Gray\nBlack Black Black Black Blue Black Black Black Blue Black Black Blue Black Gray\nBlack Black Black Black Black Black Blue Black Black Blue Black Black Black Blue\nBlue Black Black Blue Black Black Black Blue Black Blue Black Blue Black Black\nBlue Black Black Blue Black Black Black Black Black Blue Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack 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 Blue Blue Blue Black Black Black Black Black Black\nBlack 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 Blue Blue Blue Black Black Black Black Black Black\nBlack 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 Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Yellow\nBlack Yellow Yellow\nBlack Yellow Black\n\nOutput:\nYellow Yellow Black\nBlack Yellow Yellow\nBlack Black Black\n\n\nExample 2\nInput:\nBlack Black Green\nBlack Black Green\nBlack Black Green\n\nOutput:\nGreen Green Green\nBlack Black Black\nBlack Black Black\n\n\nExample 3\nInput:\nGreen Black Black\nBlack Black Black\nBlack Green Black\n\nOutput:\nGreen Black Black\nBlack Black Black\nBlack Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Black\nBlack Black Black\nGray 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 Black Black\nGray Black Black\nGray 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nPink Purple Brown Pink\nOrange Orange Green Brown\nGray Black Orange Gray\n\nOutput:\nPink Purple Brown Pink Pink Purple Brown Pink\nOrange Orange Green Brown Orange Orange Green Brown\nGray Black Orange Gray Gray Black Orange Gray\nPink Purple Brown Pink Pink Purple Brown Pink\nOrange Orange Green Brown Orange Orange Green Brown\nGray Black Orange Gray Gray Black Orange Gray\n\n\nExample 2\nInput:\nGreen Black Yellow\nBlue Orange Gray\nBlack Black Brown\nOrange Pink Purple\n\nOutput:\nGreen Black Yellow Green Black Yellow\nBlue Orange Gray Blue Orange Gray\nBlack Black Brown Black Black Brown\nOrange Pink Purple Orange Pink Purple\nGreen Black Yellow Green Black Yellow\nBlue Orange Gray Blue Orange Gray\nBlack Black Brown Black Black Brown\nOrange Pink Purple Orange Pink Purple\n\n\nExample 3\nInput:\nPurple Green Red Yellow\nGreen Black Blue Orange\nOrange Black Blue Black\nOrange Black Purple Red\n\nOutput:\nPurple Green Red Yellow Purple Green Red Yellow\nGreen Black Blue Orange Green Black Blue Orange\nOrange Black Blue Black Orange Black Blue Black\nOrange Black Purple Red Orange Black Purple Red\nPurple Green Red Yellow Purple Green Red Yellow\nGreen Black Blue Orange Green Black Blue Orange\nOrange Black Blue Black Orange Black Blue Black\nOrange Black Purple Red Orange Black Purple Red\n\n\nHere is the input grid for the test example:\nInput:\nGray Black\nBrown 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 Black Gray Black\nBrown Brown Brown Brown\nGray Black Gray Black\nBrown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Blue 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 Pink Pink 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 Green Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray 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\nBlack Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Pink Pink Pink 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Gray Black Blue Black Brown Black Purple Black Brown Black Black Black Purple\nPurple Brown Purple Blue Green Green Brown Blue Green Green Gray Green Purple Purple Purple Blue Brown\nBlack Black Green Black Purple Black Gray Black Purple Black Gray Black Green Black Gray Black Purple\nBlack Brown Green Purple Purple Blue Green Gray Green Purple Green Green Brown Brown Green Purple Purple\nBlack Black Purple Black Green Black Blue Black Brown Black Brown Black Green Black Gray Black Brown\nBrown Blue Purple Brown Blue Blue Purple Gray Brown Blue Purple Gray Green Blue Gray Gray Purple\nBlack Black Purple Black Brown Black Purple Black Green Black Purple Black Gray Black Black Black Blue\nBlue Blue Purple Blue Blue Brown Gray Black Brown Green Black Brown Brown Purple Gray Blue Blue\nBlack Black Blue Black Brown Black Purple Black Blue Black Green Black Purple Black Blue Black Purple\nGray Blue Blue Green Green Brown Purple Purple Green Blue Gray Blue Brown Blue Brown Brown Brown\nBlack Black Green Black Blue Black Black Black Gray Black Brown Black Gray Black Green Black Black\nBlue Green Blue Purple Gray Green Blue Purple Blue Gray Gray Blue Brown Green Blue Blue Brown\nBlack Black Green Black Green Black Blue Black Gray Black Purple Black Gray Black Brown Black Blue\n\nOutput:\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Black Black Black Yellow Black Yellow Black Yellow Black Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\n\n\nExample 2\nInput:\nBlack Black Gray Black Black Black Red Black Black Black Pink Black Brown Black Gray\nRed Red Gray Gray Purple Gray Brown Gray Brown Brown Gray Gray Pink Pink Brown\nBlack Black Purple Black Gray Black Red Black Gray Black Purple Black Red Black Black\nBrown Pink Brown Brown Pink Purple Pink Gray Purple Purple Brown Purple Red Purple Pink\nBlack Black Black Black Pink Black Gray Black Brown Black Purple Black Purple Black Purple\nRed Brown Brown Black Pink Brown Gray Red Brown Gray Pink Brown Pink Red Pink\nBlack Black Pink Black Gray Black Gray Black Brown Black Pink Black Red Black Pink\nBrown Purple Black Red Red Red Brown Gray Gray Brown Red Purple Gray Gray Pink\nBlack Black Brown Black Black Black Brown Black Red Black Pink Black Pink Black Red\nRed Black Gray Pink Gray Pink Red Gray Red Red Red Purple Purple Purple Red\nBlack Black Pink Black Red Black Gray Black Pink Black Red Black Red Black Brown\nPink Gray Brown Red Pink Gray Pink Brown Purple Gray Purple Black Gray Pink Pink\n\nOutput:\nBlack Black Gray Black Black Black Yellow Black Black Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Black Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nRed Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Red Black Green Black Purple Black Pink Black Pink Black Brown Black Purple Black Brown\nBrown Brown Red Brown Red Black Purple Purple Green Pink Red Purple Brown Green Pink Green\nBlack Purple Black Brown Black Red Black Green Black Purple Black Red Black Brown Black Green\nPink Pink Brown Green Green Purple Purple Brown Pink Green Pink Purple Green Purple Green Red\nBlack Pink Black Pink Black Purple Black Red Black Red Black Purple Black Pink Black Green\nPink Green Purple Green Pink Purple Red Purple Green Purple Brown Red Pink Red Purple Green\nBlack Red Black Purple Black Red Black Brown Black Purple Black Pink Black Purple Black Purple\nPurple Pink Green Red Brown Green Green Purple Pink Pink Pink Brown Black Red Brown Green\nBlack Green Black Black Black Green Black Purple Black Pink Black Pink Black Red Black Pink\nBrown Pink Red Pink Brown Green Red Red Purple Pink Black Pink Purple Brown Red Green\nBlack Pink Black Red Black Purple Black Brown Black Red Black Green Black Pink Black Brown\nGreen Red Purple Red Green Purple Brown Purple Green Pink Pink Pink Red Red Red Purple\n\nOutput:\nBlack Yellow Black Yellow Black Purple Black Yellow Black Pink Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Black Black Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow 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 Green Black Green Black Yellow Black Yellow Black Yellow Black Yellow Black Orange\nBrown Brown Brown Yellow Orange Brown Orange Blue Yellow Orange Green Green Yellow Blue\nBlack Brown Black Blue Black Blue Black Green Black Brown Black Orange Black Yellow\nBlack Brown Orange Brown Yellow Orange Yellow Black Blue Green Green Blue Yellow Brown\nBlack Green Black Brown Black Brown Black Green Black Black Black Green Black Yellow\nGreen Yellow Blue Orange Brown Yellow Blue Brown Green Orange Yellow Black Yellow Orange\nBlack Orange Black Brown Black Yellow Black Black Black Brown Black Brown Black Orange\nOrange Yellow Yellow Orange Blue Green Green Orange Blue Orange Blue Blue Black Blue\nBlack Yellow Black Green Black Green Black Black Black Orange Black Yellow Black Brown\nBlue Green Blue Orange Green Black Green Orange Green Brown Brown Blue Orange Orange\nBlack Green Black Yellow Black Brown Black Brown Black Yellow Black Brown Black Brown\nGreen Green Blue Blue Green Blue Green Green Brown Brown Brown Black Green Green\nBlack Green Black Blue Black Blue Black Green Black Yellow Black Orange Black Blue\nBrown Green Orange Brown Blue Yellow Blue Brown Orange Brown Yellow Black Yellow Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Black Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow\nBlack Yellow Black Yellow Black Yellow Black Black Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Black Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Black Yellow Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Orange Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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:\nYellow Blue Black Orange Black Black Black Black Black Orange Green Black\nBlack Green Green Black Yellow Black Black Black Green Blue Blue Yellow\nBlack Green Black Orange Blue Black Black Blue Black Orange Black Blue\nBlack Black Black Yellow Black Black Black Black Black Black Black Black\nRed Green Black Black Red Yellow Blue Green Black Black Black Black\nBlack Black Yellow Black Black Black Blue Black Black Black Black Green\nBlack Black Black Red Orange Red Blue Green Black Black Black Red\nBlack Red Red Black Black Yellow Black Blue Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Orange Black Black Black Green Black\nGreen Orange Black Black Black Black Black Blue Red Black\nBlack Yellow Green Black Black Black Black Black Green Orange\nYellow Black Black Red Black Black Black Black Black Yellow\nBlack Black Black Black Green Black Black Red Orange Black\nBlack Red Black Blue Yellow Black Black Black Green Black\nBlack Black Blue Yellow Black Blue Black Green Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Black Black Green Orange Black Black Yellow Black Black\nBlack Black Green Black Black Black Yellow Black Orange Black Black\nOrange Black Green Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Yellow Green Black Black Black Black\nBlack Green Blue Black Orange Orange Black Black Black Black Green\nBlack Black Blue Red Black Black Black Black Green Yellow Blue\nYellow Black Black Black Orange Black Blue Black Yellow Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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:\nOrange Black Black Black Black Black Orange Orange Black\nBlack Green Black Black Red Black Black Black Black\nBlack Black Black Black Green Blue Black Orange Blue\nBlack Yellow Black Black Black Green Black Black Green\nBlack Orange Black Blue Green Black Black Black Black\nYellow Black Black Black Black Black Red Black Black\nBlack Yellow Green Yellow Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Orange\nRed Orange Black Green Black Red 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```\nPink Pink Pink Pink 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\nBlack Black Black 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:\nGreen Green Green Green Green Green Green Green Purple\nBrown Purple Blue Blue Blue Blue Blue Blue Blue\nGray Brown Brown Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Red\nPink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Pink\n\nOutput:\nPurple Green Green Green Green Green Green Green Green\nBrown Purple Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Gray Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red Red Red\nRed Purple Purple Purple Purple Purple Purple Purple Purple\nPink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow\nPink Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBrown Brown Brown Red Red Red Red Red Red\nOrange Orange Red Red Pink Pink Pink Pink Pink\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Pink Pink\nBlue Red Red Red Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Blue Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nPurple Brown Brown Brown Brown Brown Brown Blue Blue\n\nOutput:\nBrown Brown Brown Red Red Red Red Red Red\nOrange Orange Red Red Pink Pink Pink Pink Pink\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Gray Gray Gray Gray Gray Gray Gray\nBlue Red Red Red Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Blue Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Orange Orange Orange Orange Orange\nPurple Blue Blue Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBrown Pink Brown Brown Brown Brown Brown Brown Brown\nYellow Red Red Red Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Red Red Pink\nBlue Blue Brown Brown Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Red Blue\n\nOutput:\nPink Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nPink Red Red Green Green Green Green Green Green\nBlue Blue Brown Brown Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Pink Pink Pink Pink\nGray Gray Brown Brown Brown\nPurple Purple Purple Purple Purple\nBrown Brown Brown Red Red\nOrange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Pink Pink Pink Pink\nGray Gray Brown Brown Brown\nPurple Purple Purple Purple Purple\nRed Red Brown Brown Brown\nOrange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Orange Green Yellow Yellow Orange\nBrown Purple Brown Gray Yellow Purple\nGreen Green Green Purple Blue Orange\nGreen Orange Orange Red Purple Yellow\nOrange Purple Gray Pink Blue Orange\nGray Orange Brown Orange Orange Green\nGreen Brown Orange Pink Gray Purple\nBrown Pink Yellow Pink Orange Purple\n\nOutput:\nBrown Purple Blue Gray Gray Purple\nBlack Brown Black Pink Gray Brown\nBlue Blue Blue Brown Yellow Purple\nBlue Purple Purple Green Brown Gray\nPurple Brown Pink Orange Yellow Purple\nPink Purple Black Purple Purple Blue\nBlue Black Purple Orange Pink Brown\nBlack Orange Gray Orange Purple Brown\n\n\nExample 2\nInput:\nRed Green Blue Orange Pink Purple Purple Blue\nYellow Orange Yellow Yellow Green Green Pink Brown\nOrange Blue Orange Pink Brown Purple Purple Brown\nBrown Gray Brown Purple Blue Brown Orange Red\nGray Blue Pink Green Red Blue Yellow Orange\n\nOutput:\nGreen Blue Yellow Purple Orange Brown Brown Yellow\nGray Purple Gray Gray Blue Blue Orange Black\nPurple Yellow Purple Orange Black Brown Brown Black\nBlack Pink Black Brown Yellow Black Purple Green\nPink Yellow Orange Blue Green Yellow Gray Purple\n\n\nExample 3\nInput:\nOrange Purple Blue Blue Gray Green Gray Blue Pink\nBrown Yellow Brown Purple Pink Gray Orange Purple Pink\nYellow Red Gray Orange Green Brown Blue Blue Purple\nGreen Orange Yellow Purple Blue Pink Gray Orange Pink\nPurple Orange Blue Green Red Yellow Yellow Brown Gray\n\nOutput:\nPurple Brown Yellow Yellow Pink Blue Pink Yellow Orange\nBlack Gray Black Brown Orange Pink Purple Brown Orange\nGray Green Pink Purple Blue Black Yellow Yellow Brown\nBlue Purple Gray Brown Yellow Orange Pink Purple Orange\nBrown Purple Yellow Blue Green Gray Gray Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Orange Brown Green Green Pink\nRed Orange Gray Green Purple Yellow Orange\nBlue Orange Purple Red Brown Pink Red\nBlue Gray Pink Orange Orange Blue Yellow\nBrown Purple Pink Pink Pink Orange Brown\nBrown Pink Gray Pink Gray Pink Blue\nBrown Gray Brown Pink Green 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 Brown Purple Black Blue Blue Orange\nGreen Purple Pink Blue Brown Gray Purple\nYellow Purple Brown Green Black Orange Green\nYellow Pink Orange Purple Purple Yellow Gray\nBlack Brown Orange Orange Orange Purple Black\nBlack Orange Pink Orange Pink Orange Yellow\nBlack Pink Black Orange Blue Pink Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Green Black Black Black\n\nOutput:\nBlack Gray Black Black Black\nBlack Gray Black Black Black\nBlack Gray Black Black Black\nBlack Gray Black Black Black\nGray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\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```\nGray Black Black Black Black\nGray Black Black Black Black\nGray Black Black Black Black\nGray Black Black Black Black\nGray 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:\nOrange Black Black Brown Pink Black Brown Pink\nBlack Red Yellow Black Blue Orange Black Black\nBlack Black Black Black Purple Green Purple Green\nBlack Black Pink Black Orange Black Yellow Orange\nBlack Pink Black Black Black Black Black Purple\nBlack Red Black Black Red Black Black Black\nBrown Black Orange Black Orange Purple Black Black\nPurple Black Black Blue Yellow Black Black Black\n\nOutput:\nOrange Black Black Gray Pink Black Gray Gray\nBlack Pink Pink Black Red Blue Black Black\nBlack Black Black Black Brown Pink Purple Purple\nBlack Black Pink Black Gray Black Brown Red\nBlack Purple Black Black Black Black Black Gray\nBlack Purple Black Black Brown Black Black Black\nOrange Black Orange Black Blue Gray Black Black\nOrange Black Black Gray Red Black Black Black\n\n\nExample 2\nInput:\nBlack Black Brown Red Black Red Black\nGreen Black Orange Pink Purple Brown Brown\nBlack Blue Purple Blue Orange Black Black\nBlack Black Pink Gray Black Purple Blue\nBrown Black Black Black Black Yellow Black\nRed Black Black Gray Red Purple Black\nBlue Purple Black Pink Pink Blue Brown\n\nOutput:\nBlack Black Purple Orange Black Blue Black\nGreen Black Black Yellow Black Purple Purple\nBlack Brown Green Orange Pink Black Black\nBlack Black Brown Red Black Green Brown\nBlue Black Black Black Black Black Black\nRed Black Black Green Blue Gray Black\nBlue Brown Black Orange Gray Yellow Black\n\n\nExample 3\nInput:\nBlack Gray Pink Black Black Black Black Black Black\nOrange Black Gray Brown Black Purple Green Yellow Black\nBlack Black Black Black Brown Brown Black Black Gray\nBlack Yellow Blue Brown Orange Black Black Black Blue\nBlack Gray Blue Black Brown Black Black Black Black\nBlue Black Black Black Black Black Brown Gray Black\nGreen Yellow Black Black Black Black Pink Red Purple\n\nOutput:\nBlack Blue Pink Black Black Black Black Black Black\nOrange Black Black Yellow Black Black Gray Orange Black\nBlack Black Black Black Gray Pink Black Black Pink\nBlack Black Gray Orange Yellow Black Black Black Pink\nBlack Black Orange Black Pink Black Black Black Black\nYellow Black Black Black Black Black Black Pink Black\nPurple Orange Black Black Black Black Orange Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Black Blue Black Black Black Gray\nBlack Blue Black Pink Black Yellow Purple Black Orange\nBlack Green Red Black Purple Black Purple Brown Black\nBlack Blue Black Black Brown Red Black Purple Black\nBlack Black Black Orange Blue Yellow Purple Black Yellow\nBlack Orange Yellow Brown Orange Black Black Red Black\nBlack Pink Black Brown Black Black Gray Gray Yellow\nGray Blue Purple Pink Black Black Black Pink Black\nBlack Gray Black Green Pink Gray Black Brown Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Gray Black Blue Black Black Black Red\nBlack Yellow Black Pink Black Red Black Black Red\nBlack Orange Gray Black Orange Black Gray Gray Black\nBlack Yellow Black Black Black Gray Black Orange Black\nBlack Black Black Orange Purple Gray Red Black Yellow\nBlack Orange Black Pink Orange Black Black Orange Black\nBlack Yellow Black Yellow Black Black Black Red Brown\nPink Gray Gray Pink Black Black Black Black Black\nBlack Pink Black Gray Yellow Blue Black Green Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black\nBlack 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 Blue Blue Blue Blue Black Black Black Black\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Black Black Black Black Yellow Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Black Black Black Yellow Black Black Black Black\nPurple Purple Purple Purple Purple Purple Blue Blue Black Black Black Black Yellow Brown Brown Black Black\nBlack Black Yellow Purple Purple Purple Blue Blue Black Black Black Black Black Brown Brown Black Black\nBlack Black Yellow Yellow Yellow Black Blue Blue Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black\n\nOutput:\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nRed Red Red Black Black Black Red Red Black Black Black Black Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Red Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Red Red Black Black\nBlack Black Red Red Red Black Red Red Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Green Green Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Pink Gray Gray Gray Black\nPink Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nPink Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Purple Black Black Black Black\nOrange Orange Black Black Black Black Black Gray Black Black Black Black Black Black Black\nOrange Orange Green Green Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Pink Gray Gray Gray Black\nRed Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nRed Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Purple Black Black Black Black\nRed Red Black Black Black Black Black Gray Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Pink Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Green Green Green Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Green Yellow Yellow Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Red Red Red Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Red Red Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray 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\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Purple Black Gray Black Black Black Black\nBlack Blue Blue Blue Black Gray Black Blue Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Purple Blue Brown Brown Black Black Black Black\nBlack Black Black Black Red Gray Purple Blue Brown Brown Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Red 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\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Purple Black Gray Black Black Black Black\nBlack Blue Blue Blue Black Gray Black Blue Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Purple Blue Brown Brown Black Black Black Black\nBlack Black Black Black Red Gray Purple Blue Brown Brown Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\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 Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple 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```\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown Yellow Red Gray Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Orange Pink Brown Yellow Yellow Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Yellow Green Brown Green Green Pink Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Purple Purple Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Green Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Pink Green Green Brown Green Yellow Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Brown Pink Orange Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Gray Red Yellow Brown Brown Orange 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Brown Brown Yellow Red Gray Orange\nGray Orange Pink Brown Yellow Yellow Orange Orange\nRed Yellow Green Brown Green Green Pink Brown\nYellow Yellow Green Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Green Yellow Yellow\nBrown Pink Green Green Brown Pink Pink Pink\nOrange Orange Yellow Yellow Brown Pink Pink Pink\nOrange Gray Red Yellow Brown Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Purple Yellow Red Yellow Brown Yellow Gray Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Purple Yellow Blue Red Red Blue Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Red Yellow Red Red Red Brown Green Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Yellow Green Pink Red Red Brown Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Yellow Pink Gray Pink Pink Blue Blue Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Pink Pink Pink Pink Yellow Blue Blue Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Pink Pink Gray Blue Blue Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Pink Yellow Purple Purple Purple Purple Green Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Pink Red Red Brown Purple Blue Green Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Purple Yellow Red Yellow Brown Yellow Gray Purple\nGreen Purple Yellow Blue Red Red Blue Gray Gray\nYellow Red Yellow Red Red Red Brown Green Gray\nBrown Yellow Yellow Pink Red Red Brown Gray Gray\nGray Yellow Yellow Gray Pink Pink Blue Blue Gray\nGray Pink Pink Pink Pink Yellow Blue Blue Red\nRed Red Red Pink Pink Gray Blue Blue Red\nGray Pink Yellow Purple Purple Purple Purple Green Purple\nYellow Pink Red Red Brown Purple Blue Green Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Green Purple Purple Purple Pink Pink Pink Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Gray Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Yellow Yellow Yellow Brown Brown Purple Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Green Green Purple Orange Purple Gray Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Yellow Green Yellow Purple Brown Brown Orange Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Green Green Purple Orange Purple Gray Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Yellow Yellow Yellow Brown Brown Purple Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Gray Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Green Purple Purple Purple Pink Pink Pink Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Green Purple Purple Purple Pink Pink Pink Purple\nYellow Yellow Gray Gray Gray Pink Pink Pink Pink\nPurple Yellow Yellow Yellow Brown Brown Purple Pink Pink\nPurple Purple Green Green Purple Orange Purple Gray Red\nPurple Yellow Green Yellow Purple Brown Brown Orange Gray\nPurple Purple Green Green Purple Orange Purple Gray Red\nPurple Yellow Gray Gray Gray Brown Purple Pink Pink\nYellow Yellow Gray Gray Gray Pink Pink Pink Pink\nPink Green Gray Gray Gray Pink Pink Pink Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Yellow Yellow Yellow Purple Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Orange Orange Orange Blue Green Orange Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Green Orange Orange Blue Orange Orange Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Blue Blue Gray Gray Orange Orange Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Orange Orange Gray Gray Blue Blue Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Orange Orange Blue Orange Orange Green Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Orange Green Blue Orange Orange Orange Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Purple Yellow Yellow Yellow Red Red 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Red Red Yellow Yellow Yellow Purple Green\nPurple Orange Orange Orange Blue Green Orange Red\nYellow Green Orange Orange Blue Orange Orange Red\nYellow Blue Blue Gray Gray Orange Orange Yellow\nYellow Orange Orange Gray Gray Blue Blue Yellow\nRed Orange Orange Blue Orange Orange Green Yellow\nRed Orange Green Blue Orange Orange Purple Purple\nGreen Purple Yellow Yellow Yellow Red Purple Purple\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow\nBlack Black Green Green Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Green Green Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Brown Brown Orange Black\nBlack Black Black Black Black Black Black Black Brown Brown Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Blue Blue Black Black Gray Gray Gray Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Brown Black Black\nBlack Brown Blue Brown Black\nBlack Black Brown Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black\nBlack Black Brown Blue Brown Black Black\nBlack Black Black Brown 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\nBlack Brown Black Brown Black\nBlack Brown Brown Brown Black\nBlack Red Brown Red Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Brown Red Black Black\nBlack Black Brown Brown Brown Black Black\nBlack Black Brown Black Brown 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\nBlack Blue Blue Blue Black\nBlack Black Red Black Black\nBlack Black Purple Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Blue Blue Blue 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\nBlack Green Orange Brown Black\nBlack Black Green Green Black\nBlack Green Orange Brown 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 Black Black\nBlack Black Black Black Black Black Black\nBlack Black Brown Orange Green Black Black\nBlack Black Green Green Black Black Black\nBlack Black Brown Orange Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |