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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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple 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\nPurple Purple 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\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\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\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\n\n\nExample 3\nInput:\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 Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\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\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Yellow Green Purple Brown Orange Pink Gray Yellow Green Gray Gray Orange Red Pink Brown Brown\nGray Blue Purple Red Green Green Yellow Brown Blue Orange Purple Gray Purple Brown Pink Yellow Blue\nPurple Green Pink Orange Blue Gray Blue Blue Gray Purple Gray Blue Yellow Red Red Purple Green\nGray Orange Yellow Pink Orange Brown Pink Blue Purple Orange Blue Purple Purple Green Yellow Brown Pink\nPink Purple Red Brown Gray Yellow Blue Green Green Purple Yellow Purple Brown Green Brown Blue Orange\nGreen Purple Brown Green Yellow Green Green Pink Pink Blue Gray Brown Blue Brown Blue Orange Purple\nGreen Purple Pink Orange Yellow Orange Purple Purple Green Pink Orange Pink Green Yellow Orange Pink Green\nRed Blue Green Brown Red Brown Purple Blue Blue Gray Brown Pink Blue Orange Purple Orange Pink\nBrown Red Gray Pink Gray Red Blue Green Blue Blue Pink Gray Purple Blue Gray Gray Orange\nGray Red Green Red Gray Yellow Green Purple Blue Red Gray Purple Blue Brown Gray Brown Blue\nRed Red Blue Orange Blue Purple Blue Gray Brown Red Purple Orange Pink Blue Gray Purple Blue\nBlue Gray Orange Orange Red Blue Purple Brown Green Purple Blue Blue Orange Brown Blue Yellow Purple\nOrange Green Gray Purple Yellow Red Green Red Yellow Blue Purple Green Purple Purple Gray Pink Gray\n\nOutput:\nBrown Brown Pink Blue Orange Gray Gray Yellow Yellow Gray Pink Orange Brown Purple Yellow Green Brown\nRed Green Pink Brown Purple Gray Purple Orange Blue Brown Green Yellow Yellow Blue Purple Red Gray\nYellow Purple Blue Blue Green Red Gray Purple Gray Red Red Gray Red Orange Pink Yellow Purple\nPink Brown Green Yellow Purple Purple Red Orange Purple Red Pink Brown Orange Pink Green Orange Gray\nOrange Red Brown Yellow Brown Purple Green Purple Green Yellow Red Green Gray Brown Blue Purple Pink\nPurple Orange Red Brown Red Brown Gray Red Pink Pink Yellow Yellow Green Yellow Brown Purple Yellow\nYellow Pink Orange Green Yellow Pink Orange Pink Green Purple Purple Orange Green Orange Pink Purple Yellow\nPink Orange Purple Orange Red Pink Brown Gray Blue Red Purple Brown Blue Brown Yellow Red Blue\nOrange Gray Gray Red Purple Gray Pink Red Blue Yellow Red Blue Gray Pink Gray Blue Brown\nRed Brown Gray Brown Red Purple Gray Blue Blue Purple Yellow Green Gray Blue Yellow Blue Gray\nRed Purple Gray Red Pink Orange Purple Blue Brown Gray Red Purple Red Orange Red Blue Blue\nPurple Green Red Brown Orange Red Red Purple Green Brown Purple Red Blue Orange Orange Gray Red\nGray Pink Gray Purple Purple Yellow Purple Red Yellow Blue Yellow Blue Green Purple Gray Yellow Orange\n\n\nExample 2\nInput:\nBlue Orange Brown Blue Yellow Yellow Blue Brown Pink Yellow Pink Purple Gray Green Purple\nPurple Green Green Red Brown Orange Green Brown Orange Purple Gray Purple Purple Brown Pink\nPink Gray Brown Pink Brown Purple Green Blue Red Gray Yellow Orange Yellow Red Gray\nYellow Blue Red Green Gray Yellow Green Orange Gray Pink Orange Orange Gray Gray Gray\nYellow Orange Brown Blue Green Blue Gray Purple Blue Brown Red Blue Brown Yellow Orange\nGreen Blue Pink Blue Pink Purple Gray Blue Orange Purple Gray Blue Purple Brown Red\nGreen Gray Pink Blue Green Brown Purple Pink Red Yellow Pink Purple Gray Orange Brown\nRed Yellow Red Blue Gray Pink Blue Gray Gray Blue Yellow Orange Yellow Red Gray\nGray Red Blue Green Orange Pink Pink Purple Blue Red Red Orange Blue Yellow Yellow\nBlue Red Brown Green Brown Green Orange Brown Gray Blue Orange Purple Green Green Red\nPink Blue Green Purple Green Purple Yellow Pink Brown Brown Gray Gray Yellow Purple Pink\nYellow Red Green Purple Brown Brown Green Orange Brown Purple Red Purple Red Red Green\n\nOutput:\nPurple Yellow Gray Purple Pink Green Pink Brown Red Green Green Red Brown Orange Red\nPink Brown Purple Purple Gray Purple Orange Brown Yellow Orange Brown Blue Yellow Yellow Purple\nGray Blue Green Orange Green Gray Blue Blue Yellow Purple Brown Pink Brown Gray Pink\nGray Gray Gray Orange Orange Pink Gray Orange Yellow Green Gray Yellow Blue Red Green\nOrange Green Brown Red Blue Brown Red Purple Gray Red Yellow Red Brown Orange Green\nBlue Brown Purple Red Gray Purple Orange Blue Gray Purple Pink Red Pink Red Yellow\nBrown Orange Gray Purple Pink Green Blue Pink Purple Brown Yellow Red Pink Gray Yellow\nGray Blue Green Orange Green Red Gray Gray Red Pink Gray Red Blue Green Blue\nGreen Green Red Orange Blue Blue Red Purple Pink Pink Orange Yellow Red Blue Gray\nBlue Yellow Yellow Purple Orange Red Gray Brown Orange Yellow Brown Yellow Brown Blue Red\nPink Purple Green Gray Gray Brown Brown Pink Green Purple Yellow Purple Yellow Red Pink\nYellow Blue Blue Purple Blue Purple Brown Orange Yellow Brown Brown Purple Yellow Blue Green\n\n\nExample 3\nInput:\nGray Pink Gray Green Purple Brown Green Blue Pink Green Pink Red Brown Blue Green Brown\nYellow Gray Red Green Orange Purple Pink Brown Yellow Brown Pink Gray Yellow Red Gray Pink\nPurple Brown Pink Gray Gray Blue Purple Pink Blue Blue Red Gray Red Yellow Blue Orange\nRed Blue Blue Pink Brown Brown Gray Green Brown Pink Gray Green Yellow Brown Purple Orange\nPink Red Brown Red Purple Blue Pink Gray Red Green Orange Green Yellow Orange Pink Blue\nOrange Gray Red Gray Purple Orange Blue Red Green Yellow Gray Brown Orange Purple Gray Gray\nGray Purple Red Brown Purple Red Purple Purple Gray Yellow Blue Gray Green Pink Yellow Orange\nRed Green Red Pink Blue Blue Green Red Red Blue Red Green Gray Pink Yellow Red\nGray Orange Green Purple Gray Orange Gray Blue Green Pink Pink Green Red Blue Blue Blue\nBrown Blue Blue Brown Gray Orange Blue Orange Pink Orange Brown Gray Purple Orange Orange Gray\nPurple Gray Brown Pink Purple Pink Blue Pink Red Pink Red Brown Gray Pink Yellow Orange\nBrown Purple Blue Yellow Yellow Yellow Yellow Purple Gray Yellow Brown Gray Green Green Yellow Purple\n\nOutput:\nBrown Yellow Red Brown Blue Pink Yellow Pink Red Yellow Brown Purple Yellow Gray Pink Gray\nPink Gray Blue Green Gray Pink Brown Green Brown Pink Purple Orange Yellow Blue Gray Green\nOrange Red Green Blue Gray Blue Red Red Pink Purple Red Gray Gray Pink Brown Purple\nOrange Purple Brown Green Yellow Gray Pink Brown Yellow Gray Brown Brown Pink Red Red Blue\nRed Pink Orange Green Yellow Orange Yellow Blue Gray Pink Red Purple Blue Brown Blue Pink\nGray Gray Purple Orange Brown Gray Green Yellow Blue Red Orange Purple Gray Blue Gray Orange\nOrange Green Pink Yellow Gray Red Green Gray Purple Purple Blue Purple Brown Blue Purple Gray\nBlue Green Pink Gray Yellow Blue Red Blue Blue Yellow Red Red Pink Blue Yellow Blue\nRed Red Red Blue Yellow Pink Pink Yellow Red Gray Orange Gray Purple Yellow Orange Gray\nGray Orange Orange Purple Gray Brown Orange Pink Orange Red Orange Gray Brown Red Red Brown\nOrange Green Pink Gray Brown Blue Pink Blue Pink Red Pink Purple Pink Brown Gray Purple\nPurple Green Yellow Yellow Gray Brown Green Gray Purple Green Green Green Green Red Purple Brown\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Brown Blue Green Blue Red Yellow Brown Blue Green Brown Brown Brown\nGreen Yellow Purple Yellow Brown Gray Red Red Pink Orange Red Purple Orange Purple\nOrange Blue Brown Red Blue Purple Purple Orange Purple Orange Red Yellow Yellow Orange\nBrown Pink Blue Yellow Pink Green Orange Gray Purple Pink Blue Orange Purple Red\nPurple Gray Orange Red Red Purple Orange Brown Pink Purple Green Brown Blue Green\nPink Blue Brown Gray Yellow Gray Pink Orange Red Orange Pink Pink Blue Yellow\nBlue Gray Green Blue Green Purple Yellow Pink Pink Gray Green Brown Yellow Yellow\nPurple Gray Blue Brown Brown Pink Green Orange Red Red Blue Red Yellow Blue\nPurple Red Pink Yellow Orange Green Green Brown Gray Red Brown Yellow Blue Green\nGray Red Orange Orange Blue Brown Purple Gray Pink Pink Blue Brown Pink Purple\nBlue Red Pink Blue Green Blue Brown Gray Yellow Green Gray Red Yellow Purple\nGray Brown Pink Purple Purple Yellow Red Orange Orange Orange Green Orange Yellow Yellow\nPurple Red Yellow Orange Orange Gray Gray Gray Green Yellow Orange Blue Orange Orange\nYellow Red Brown Red Pink Yellow Orange Pink Green Gray Brown Green Gray 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 Yellow Red Brown Green Blue Red Yellow Red Brown Yellow Yellow\nPurple Orange Purple Blue Orange Pink Blue Blue Gray Brown Green Purple Green Yellow\nOrange Green Green Blue Orange Purple Orange Purple Purple Red Blue Brown Red Orange\nBlue Purple Orange Red Pink Purple Gray Orange Yellow Pink Green Red Pink Brown\nYellow Red Brown Yellow Purple Pink Brown Orange Purple Blue Blue Orange Gray Purple\nGreen Red Pink Pink Orange Blue Orange Pink Gray Green Gray Brown Red Pink\nGreen Green Brown Yellow Gray Pink Pink Green Purple Yellow Red Yellow Gray Red\nRed Green Blue Red Blue Blue Orange Yellow Pink Brown Brown Red Gray Purple\nYellow Red Green Brown Blue Gray Brown Yellow Yellow Orange Green Pink Blue Purple\nPurple Pink Brown Red Pink Pink Gray Purple Brown Red Orange Orange Blue Gray\nPurple Green Blue Gray Yellow Green Gray Brown Red Yellow Red Pink Blue Red\nGreen Green Orange Yellow Orange Orange Orange Blue Green Purple Purple Pink Brown Gray\nOrange Orange Red Orange Green Yellow Gray Gray Gray Orange Orange Green Blue Purple\nBlue Gray Yellow Brown Gray Yellow Pink Orange Green Pink Blue Brown Blue Green\n```",
"role": "assistant"
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] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Black Purple Black Gray Black Pink Black Blue\nBlack Orange Black Black Black Black Black Black Orange Black\nBlack Orange Gray Gray Black Orange Black Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Black Green Black Green Black Brown Black Orange\nBlack Black Black Black Black Brown Green Black Black Black\nBlack Pink Black Gray Black Purple Black Purple Black Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Green Pink Black Orange Black Purple Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Purple Purple Gray Gray Pink Pink Blue Blue\nOrange Orange Black Black Black Black Black Orange Orange Black\nOrange Gray Gray Gray Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Green Green Green Green Brown Brown Orange Orange\nBlack Black Black Black Brown Green Green Black Black Black\nPink Pink Gray Gray Purple Purple Purple Purple Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nYellow Green Pink Pink Orange Orange Purple Purple Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Blue Black Orange Green Pink Black Brown Black Purple\nPink Black Black Black Black Pink Black Black Black Black\nBlack Purple Black Brown Black Brown Black Gray Pink Brown\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Purple Black Blue Black Brown Black Orange Black Red\nBlack Black Black Yellow Black Black Black Black Black Black\nYellow Gray Black Blue Black Pink Black Green Pink Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Red Yellow Black Orange Black Pink Black Green\n\nOutput:\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlue Blue Orange Green Pink Pink Brown Brown Purple Purple\nPink Black Black Black Pink Pink Black Black Black Pink\nPurple Purple Brown Brown Brown Brown Gray Pink Brown Brown\nBlack Black Blue Blue Black Black Black Black Black Black\nPurple Purple Blue Blue Brown Brown Orange Orange Red Red\nBlack Black Yellow Yellow Black Black Black Black Black Black\nGray Gray Blue Blue Pink Pink Green Pink Red Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlue Red Yellow Yellow Orange Orange Pink Pink Green Green\n\n\nExample 3\nInput:\nBlack Yellow Black Black Black Black Black Black Black Blue\nBlack Green Black Brown Blue Blue Black Blue Black Purple\nOrange Black Black Black Black Black Black Black Brown Black\nBlack Green Black Orange Black Yellow Black Purple Black Blue\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Pink Black Gray Purple Orange Black Gray Yellow Purple\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Orange Black Blue Black Green Black Red Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Brown Black Gray Black Orange Black Green\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Blue Blue\nGreen Green Brown Blue Blue Blue Blue Blue Purple Purple\nOrange Black Black Black Black Black Black Brown Brown Orange\nGreen Green Orange Orange Yellow Yellow Purple Purple Blue Blue\nBlack Orange Orange Black Black Black Black Black Black Black\nPink Pink Gray Purple Orange Orange Gray Yellow Purple Purple\nBlack Black Black Black Black Black Blue Blue Black Black\nOrange Orange Blue Blue Green Green Red Red Green Green\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Brown Brown Gray Gray Orange Orange Green Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Black Black Black Black\nBlack Blue Black Yellow Black Brown Black Purple Black Pink\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Pink Purple Pink Gray Orange Black Brown Pink Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Gray Black Pink Black Gray Black Pink\nBlack Black Black Black Black Black Black Black Black Green\nBlack Blue Black Brown Black Gray Black Brown Black Pink\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Green Black Yellow Black Pink Black Gray Pink 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```\nRed Black Black Black Black Black Black Black Black Red\nBlue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nBlack Black Black Black Black Black Gray Gray Black Black\nPink Purple Pink Gray Orange Orange Brown Pink Brown Brown\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Green Green\nBlue Blue Brown Brown Gray Gray Brown Brown Pink Pink\nBlack Orange Orange Black Black Black Black Black Black Black\nGreen Green Yellow Yellow Pink Pink Gray Pink Gray Gray\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Blue Yellow Yellow Blue Black\nBlack Blue Blue Yellow Blue Black\nBlack Yellow Yellow Brown Blue Black\nBlack Yellow Blue Blue Brown Black\nBlack Black Black Black Black Black\n\nOutput:\nBlue Yellow Yellow Blue\nBlue Blue Yellow Blue\nYellow Yellow Brown Blue\nYellow Blue Blue Brown\nYellow Blue Blue Brown\nYellow Yellow Brown Blue\nBlue Blue Yellow Blue\nBlue Yellow Yellow Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Purple Green Purple Purple Orange Black\nBlack Green Green Orange Purple Orange Black\nBlack Green Orange Purple Green Orange Black\nBlack Green Green Green Orange Orange Black\nBlack Green Purple Purple Green Green Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Green Purple Purple Orange\nGreen Green Orange Purple Orange\nGreen Orange Purple Green Orange\nGreen Green Green Orange Orange\nGreen Purple Purple Green Green\nGreen Purple Purple Green Green\nGreen Green Green Orange Orange\nGreen Orange Purple Green Orange\nGreen Green Orange Purple Orange\nPurple Green Purple Purple Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Pink Green Gray Gray Green Black\nBlack Green Gray Pink Pink Pink Black\nBlack Gray Green Pink Green Gray Black\nBlack Pink Gray Pink Pink Pink Black\nBlack Green Gray Green Green Green Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPink Green Gray Gray Green\nGreen Gray Pink Pink Pink\nGray Green Pink Green Gray\nPink Gray Pink Pink Pink\nGreen Gray Green Green Green\nGreen Gray Green Green Green\nPink Gray Pink Pink Pink\nGray Green Pink Green Gray\nGreen Gray Pink Pink Pink\nPink Green Gray Gray Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Brown Brown Red Black\nBlack Red Brown Red Black\nBlack Red Brown Gray Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Red\nRed Brown Red\nRed Brown Gray\nRed Brown Gray\nRed Brown Red\nBrown Brown Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Blue Blue\nGreen Green Blue Blue\nRed Red Yellow Yellow\nRed Red Yellow Yellow\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nRed Red Black Black\nRed Red Black Black\n\n\nExample 2\nInput:\nBlue Blue Green Green\nBlue Blue Green Green\nYellow Yellow Red Red\nYellow Yellow Red Red\n\nOutput:\nBlack Black Yellow Yellow\nBlack Black Yellow Yellow\nBlack Black Black Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nYellow Yellow Green Green\nYellow Yellow Green Green\nBlue Blue Red Red\nBlue Blue Red Red\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Blue Blue\nBlack Black Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Red Red\nYellow Yellow Red Red\nGreen Green Blue Blue\nGreen Green Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Black Black\nGreen Green Black Black\nBlack Black Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Orange Red Gray Black Orange\nOrange Black Black Black Purple Black Black Black Black Black Orange Orange Black Brown Black Orange\nOrange Black Black Black Purple Black Black Black Green Green Green Black Black Brown Black Orange\nOrange Black Black Black Purple Black Black Brown Red Black Black Black Black Blue Black Orange\nOrange Black Red Yellow Purple Black Black Yellow Red Black Black Black Black Black Black Orange\nOrange Black Green Orange Purple Black Black Yellow Black Black Black Black Black Black Black Orange\nOrange Black Purple Purple Red Pink Pink Gray Pink Black Black Black Black Black Black Orange\nOrange Black Purple Purple Red Red Red Red Yellow Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Orange\nOrange Black Black Black Orange Black Black Black Black Black Orange Orange Black Orange Black Orange\nOrange Black Black Black Orange Black Black Black Orange Orange Orange Black Black Orange Black Orange\nOrange Black Black Black Orange Black Black Orange Orange Black Black Black Black Orange Black Orange\nOrange Black Orange Orange Orange Black Black Orange Orange Black Black Black Black Black Black Orange\nOrange Black Orange Orange Orange Black Black Orange Black Black Black Black Black Black Black Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Red Red Yellow Brown Red Black Purple Purple Purple Purple Black Orange\nOrange Black Red Black Black Gray Gray Orange Black Purple Purple Purple Black Orange\nOrange Black Red Red Red Red Blue Blue Yellow Yellow Yellow Yellow Black Orange\nOrange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Orange\nOrange Black Red Red Red Red Blue Blue Yellow Yellow Yellow Yellow Black Orange\nOrange Black Red Black Black Gray Gray Orange Black Purple Purple Purple Black Orange\nOrange Black Red Red Yellow Brown Red Black Purple Purple Purple Purple Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange\nOrange Black Orange Black Black Orange Orange Orange Black Orange Orange Orange Black Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange\nOrange Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange\nOrange Black Orange Black Black Orange Orange Orange Black Orange Orange Orange Black Orange\nOrange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Orange Orange Purple Brown Orange Black Orange Brown Purple Orange Orange Black Gray\nGray Black Orange Orange Brown Brown Purple Black Purple Brown Brown Orange Orange Black Gray\nGray Black Blue Pink Pink Brown Purple Black Purple Brown Pink Pink Blue Black Gray\nGray Black Blue Brown Red Red Red Pink Red Red Red Brown Blue Black Gray\nGray Black Gray Gray Red Blue Gray Pink Gray Blue Red Gray Gray Black Gray\nGray Black Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Black Gray\nGray Black Purple Gray Yellow Gray Black Black Black Gray Yellow Gray Purple Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray\nGray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray\nGray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray\nGray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray\nGray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray\nGray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray\nGray Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Brown Yellow Yellow Yellow Blue Green Blue Blue Purple Black Pink\nPink Black Pink Brown Purple Blue Black Black Gray Purple Purple Black Pink\nPink Black Red Pink Orange Green Orange Pink Pink Purple Red Black Pink\nPink Black Red Orange Pink Green Pink Pink Green Green Yellow Black Pink\nPink Black Orange Orange Red Pink Purple Purple Green Blue Black Black Pink\nPink Black Red Orange Pink Green Pink Pink Green Green Yellow Black Pink\nPink Black Red Pink Orange Green Orange Pink Pink Purple Red Black Pink\nPink Black Pink Brown Purple Blue Black Black Gray Purple Purple Black Pink\nPink Black Brown Yellow Yellow Yellow Blue Green Blue Blue Purple Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink\nPink Black Pink Pink Pink Pink Black Black Pink Pink Pink Black Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink\nPink Black Pink Pink Pink Pink Black Black Pink Pink Pink Black Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Green Green Green Green\nBlack Black Black Black Green Green Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Green Green Green Green\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Red Red Red Red Red Red Black Black Black Black Black Black Green Green\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Red Red Red Red Red Red Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Green Green Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Red Red Black Black Green Green Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Red Red Black Black Green Green Black Black Black Black\nGreen Green Yellow Yellow Green Green Black Black Green Green Black Black Black Black Red Red Red Red Red Red Black Black Black Black Green Green\nGreen Green Yellow Yellow Green Green Black Black Green Green Black Black Black Black Red Red Red Red Red Red Black Black Black Black Green Green\nYellow Yellow Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Yellow Yellow Black Black\nYellow Yellow Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Black Black Yellow Yellow\nGreen Green Black Black Yellow Yellow Black Black Yellow Yellow Black Black Green Green Green Green Red Red Black Black Black Black Black Black Black Black\nGreen Green Black Black Yellow Yellow Black Black Yellow Yellow Black Black Green Green Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Red Red Red Red Red Red Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Red Red Red Red Red Red Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Red Red Red Red Red Red Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Red Red Red Red Red Red Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Red Red Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Red Red Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Red Red Blue Blue Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Red Red Blue Blue Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Blue Blue Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Blue Blue Blue Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue Green Green Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue Green Green Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black 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 Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Green Black Black Black Black Yellow Yellow Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Yellow Yellow Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Red Red Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Red Red Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Yellow Yellow Black Black Yellow Yellow Black Black Green Green\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Yellow Yellow Black Black Yellow Yellow Black Black Green Green\nBlack Black Red Red Black Black Black Black Black Black Black Black Yellow Yellow Black Black Green Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Yellow Yellow Black Black Green Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Green Green Yellow Yellow\nBlack Black Red Red Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Green Green Yellow Yellow\nGreen Green Red Red Red Red Red Red Yellow Yellow Black Black Black Black Black Black Green Green Black Black Black Black Green Green\nGreen Green Red Red Red Red Red Red Yellow Yellow Black Black Black Black Black Black Green Green Black Black Black Black Green Green\nBlack Black Red Red Black Black Black Black Yellow Yellow Green Green Black Black Green Green Red Red Yellow Yellow Black Black Black Black\nBlack Black Red Red Black Black Black Black Yellow Yellow Green Green Black Black Green Green Red Red Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Green Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Green Green Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Green Green Black Black\nGreen Green Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Green Green\n\nOutput:\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlue Blue Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Red Red Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Red Red Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Red Red Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Red Red Red Red Blue Blue Red Red Red Red Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Red Red Red Red Blue Blue Red Red Red Red Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nExample 3\nInput:\nGreen Green Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green\nGreen Green Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Red Red Red Red Red Red Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black Yellow Yellow Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black Yellow Yellow Red Red Red Red Red Red Red Red Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black Red Red Red Red Red Red Red Red Yellow Yellow\nBlack Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black Red Red Red Red Red Red Red Red Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Green Green Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Green Green 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack 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 Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Red Red Red Red Blue Blue Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Red Red Red Red Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Red Red Red Red Red Red Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Red Red Red Red Red Red Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Red Red Red Red Red Red Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Red Red Red Red Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Red Red Red Red Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Red Red Red Red Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Green Green Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Green Green Yellow Yellow Black Black Black Black Yellow Yellow 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 Yellow Yellow Black Black Green Green 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 Green Green 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\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Black Black Green Green Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Black Black Green Green Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Green Green Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Green Green Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow\nGreen Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Red Red Red Red Green Green Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Red Red Red Red Green Green Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Green Green\nBlack Black Black Black Yellow Yellow Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Green Green\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Blue Blue 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 Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue 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\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 Red Red Black Black Black Red Red Black\nBlack Black Black Red Red Black Red Red Red Red Black\nBlack Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Black Red Red Black\nBlack Black Black Red Red Black Black Black Red Red 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:\nRed Red Black Black Black Red Red\nRed Red Black Red Red Red Red\nBlack Red Red Red Red Black Black\nBlack Red Red Red Red Red Black\nBlack Black Red Red Red Red Black\nRed Red Red Red Black Red Red\nRed Red Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Red Orange Yellow Green Green Black Black Black Black\nBlack Black Red Red Orange Yellow Green Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Orange Yellow Green Green\nRed Red Orange Yellow Green Green\nBlack Black Red Red Black Black\nBlack Black Green Red 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 Purple Red Purple Purple Black Black Black Black Black Black\nPurple Purple Red Purple Purple Black Black Black Black Black Black\nPurple Purple Gray Purple Purple Black Black Black Black Black Black\nPurple Gray Purple Gray Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple 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 Purple Red Purple Purple\nPurple Purple Red Purple Purple\nPurple Purple Gray Purple Purple\nPurple Gray Purple Gray Purple\nPurple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Red Red\nBlack Black Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black\nRed Red Red Red Red Red Black Black\nRed Red Black Red Red Red Red Black\nBlack Black Black Black Red Red Red Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Gray Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink 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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray\nGray Gray Gray Gray Gray Gray Purple Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray\nGray Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Pink Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Orange Orange Orange Green Green Green Green Green Green Green\nGreen Green Green Green Orange Orange Orange Orange Green Green Green Green Green Green Green\nGreen Green Green Green Orange Orange Orange Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nGreen Green Red Green Green Green Green Green Green Green Green Green Green Black Black\nGreen 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 Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Orange Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Pink Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Purple Orange Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Purple\nBlack Pink Purple Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Green Black Gray Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Brown Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Green Pink Gray Pink Pink Pink Pink Pink Pink Pink\nPink Blue 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 Brown 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 Brown 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:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black\nBlack Black Black Red Red Red Red Black\nBlack Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red 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 Red Red\nBlack Black Black Black Black Red Red\nBlack Black Black Black Black Red Red\n\nOutput:\nRed Red Black Red Red Black Black\nRed Red Black Red Red Black Black\nRed Red Black Red Red Black Black\nRed Red Black Red Red Black Black\nRed Red Black Red Red Black Black\nRed Red Black Red Red Black Black\nRed Red Black Red Red 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\nRed Red Red Red Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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\nRed Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red 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 Red Red Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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```\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed 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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown 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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown 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\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple\nPurple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple\nPurple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink\nPink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack 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 Yellow Yellow Yellow Black Black\nBlack 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 Yellow Yellow Yellow Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nYellow Red Blue Yellow Pink Red Red Pink Green Pink Green Pink Green\nGreen Red Red Green Pink Green Pink Red Red Yellow Red Green Green\nYellow Green Pink Red Yellow Red Yellow Blue Pink Pink Pink Pink Red\nRed Pink Pink Green Pink Yellow Pink Green Green Red Red Pink Green\nPink Red Green Yellow Yellow Red Green Brown Green Green Green Yellow Red\nPink Green Red Yellow Green Pink Green Red Red Yellow Green Red Green\nRed Pink Yellow Orange Orange Red Purple Green Yellow Green Red Green Yellow\nGreen Yellow Yellow Pink Green Green Yellow Green Brown Green Pink Red Pink\nYellow Yellow Green Yellow Green Red Green Green Green Pink Pink Pink Yellow\nYellow Yellow Pink Green Pink Red Pink Pink Yellow Green Pink Green Pink\nYellow Pink Blue Red Purple Red Yellow Yellow Yellow Red Green Yellow Red\nPink Pink Red Yellow Green Purple Green Yellow Brown Green Yellow Green Yellow\nYellow Pink Pink Yellow Pink Green Brown Red Yellow Green Yellow Yellow Pink\nRed Pink Red Green Yellow Yellow Purple Yellow Red Red Pink Red Red\nGreen Green Pink Red Yellow Pink Green Green Yellow Yellow Pink Pink Green\nGreen Yellow Pink Green Pink Pink Yellow Green Red Green Green Yellow Yellow\nPink Red Green Green Yellow Red Red Yellow Red Gray Red Pink Red\n\nOutput:\nGreen Yellow Red Blue Yellow Pink Pink Red Pink Green Pink Green Pink\nYellow Green Blue Red Green Pink Green Pink Green Red Yellow Red Red\nGreen Yellow Green Pink Red Yellow Red Yellow Blue Yellow Red Green Pink\nYellow Red Green Pink Green Pink Yellow Pink Pink Green Pink Red Pink\nRed Pink Red Green Pink Yellow Red Green Brown Red Red Green Yellow\nRed Pink Green Red Yellow Green Pink Green Green Red Yellow Green Red\nPink Red Pink Yellow Green Orange Red Purple Green Yellow Green Red Green\nRed Green Green Yellow Pink Red Green Yellow Green Brown Green Pink Red\nGreen Green Yellow Green Yellow Green Red Pink Brown Green Green Red Pink\nGreen Pink Yellow Pink Green Pink Red Green Pink Yellow Green Pink Green\nPink Yellow Pink Blue Red Purple Red Pink Brown Yellow Red Green Yellow\nYellow Red Pink Red Yellow Green Purple Green Yellow Brown Green Yellow Green\nPink Yellow Red Pink Yellow Pink Green Brown Red Yellow Green Green Yellow\nYellow Red Pink Red Green Green Yellow Purple Yellow Green Red Pink Pink\nRed Pink Green Pink Red Yellow Pink Yellow Green Red Yellow Red Pink\nPink Green Yellow Pink Green Red Pink Yellow Green Red Pink Green Green\nGreen Pink Red Yellow Green Yellow Yellow Red Yellow Red Gray Red Pink\n\n\nExample 2\nInput:\nGreen Blue Green Yellow Blue Brown Red Yellow Yellow Purple Yellow Yellow\nYellow Yellow Brown Brown Brown Green Blue Brown Yellow Yellow Green Brown\nYellow Brown Brown Green Yellow Green Brown Blue Yellow Brown Yellow Yellow\nYellow Brown Blue Yellow Green Brown Yellow Blue Green Green Blue Blue\nGreen Green Green Yellow Yellow Green Blue Blue Green Brown Blue Green\nBrown Yellow Green Green Yellow Blue Green Blue Brown Brown Brown Brown\nYellow Brown Brown Green Yellow Yellow Brown Blue Brown Brown Yellow Green\nYellow Blue Yellow Yellow Blue Blue Green Blue Blue Yellow Green Pink\nYellow Yellow Blue Yellow Gray Brown Red Pink Green Purple Green Yellow\nBrown Green Green Blue Blue Brown Green Brown Yellow Green Yellow Blue\nYellow Green Blue Yellow Brown Yellow Brown Yellow Brown Brown Brown Brown\nGreen Brown Brown Brown Brown Yellow Green Yellow Pink Yellow Blue Brown\nBrown Orange Brown Green Blue Green Green Purple Yellow Brown Green Yellow\nBlue Blue Green Blue Green Green Yellow Green Yellow Yellow Blue Yellow\nBrown Brown Green Blue Brown Brown Brown Blue Green Yellow Blue Brown\n\nOutput:\nYellow Green Blue Green Yellow Blue Brown Red Purple Yellow Purple Brown\nGreen Blue Yellow Yellow Blue Brown Green Blue Brown Purple Yellow Green\nBrown Yellow Blue Brown Green Yellow Green Brown Blue Yellow Brown Brown\nGreen Yellow Brown Blue Yellow Green Brown Yellow Blue Brown Green Yellow\nYellow Brown Blue Green Green Yellow Green Green Blue Green Brown Blue\nGreen Brown Yellow Yellow Green Yellow Blue Green Blue Blue Blue Green\nBrown Yellow Green Brown Green Blue Yellow Brown Blue Yellow Brown Yellow\nBlue Yellow Blue Green Yellow Yellow Blue Green Brown Blue Yellow Green\nBrown Blue Yellow Blue Yellow Gray Brown Red Pink Green Purple Green\nYellow Brown Blue Green Gray Blue Brown Green Brown Yellow Green Yellow\nBrown Yellow Green Blue Yellow Brown Yellow Brown Yellow Green Yellow Blue\nYellow Green Blue Yellow Blue Brown Yellow Green Yellow Pink Yellow Blue\nGreen Brown Orange Brown Green Blue Yellow Green Purple Yellow Brown Green\nBrown Orange Blue Green Blue Brown Green Yellow Green Brown Yellow Blue\nBlue Blue Brown Green Blue Green Yellow Brown Blue Green Yellow Blue\n\n\nExample 3\nInput:\nOrange Purple Yellow Red Brown Brown Purple Yellow Purple Yellow Purple Red\nBrown Brown Purple Yellow Red Brown Green Purple Yellow Purple Yellow Yellow\nRed Gray Green Brown Yellow Brown Red Yellow Green Green Orange Green\nYellow Brown Red Gray Yellow Yellow Gray Brown Brown Red Yellow Purple\nGray Purple Gray Yellow Purple Yellow Pink Yellow Green Green Red Purple\nPurple Green Red Red Red Green Purple Pink Red Red Purple Purple\nPink Red Purple Orange Yellow Yellow Gray Red Gray Brown Green Yellow\nGreen Purple Green Gray Purple Red Yellow Red Yellow Red Orange Brown\nGray Gray Purple Green Yellow Yellow Red Gray Brown Purple Brown Yellow\nBrown Red Brown Gray Red Yellow Yellow Gray Brown Blue Gray Purple\nBrown Brown Green Red Brown Green Purple Purple Gray Gray Red Green\nGray Yellow Red Purple Purple Red Gray Purple Gray Gray Gray Gray\nGreen Brown Yellow Gray Green Purple Gray Green Purple Red Green Green\nBlue Red Yellow Red Brown Brown Green Purple Yellow Yellow Yellow Brown\nGreen Purple Purple Gray Red Brown Red Yellow Yellow Gray Brown Green\nBrown Brown Purple Red Gray Gray Yellow Gray Gray Brown Brown Brown\n\nOutput:\nBrown Orange Purple Yellow Red Purple Brown Purple Yellow Purple Yellow Purple\nOrange Purple Brown Purple Yellow Red Brown Green Purple Yellow Purple Red\nBrown Red Gray Green Brown Yellow Brown Red Yellow Purple Green Orange\nRed Yellow Brown Red Gray Brown Yellow Gray Green Brown Red Yellow\nYellow Gray Purple Gray Yellow Purple Yellow Pink Yellow Red Green Red\nGray Purple Green Yellow Purple Red Green Purple Pink Green Red Yellow\nPurple Pink Red Purple Orange Green Yellow Gray Red Gray Brown Green\nPink Green Purple Green Gray Purple Red Yellow Red Yellow Red Orange\nGreen Purple Gray Purple Green Red Yellow Red Gray Brown Purple Brown\nGray Brown Red Brown Gray Red Red Yellow Gray Brown Blue Gray\nGray Red Brown Green Red Brown Green Gray Purple Blue Gray Red\nBrown Gray Yellow Red Brown Purple Red Gray Purple Red Red Green\nGray Green Brown Yellow Gray Green Purple Gray Green Purple Red Gray\nGreen Blue Red Yellow Red Purple Brown Green Purple Red Green Yellow\nBlue Green Yellow Purple Gray Red Brown Red Gray Yellow Gray Brown\nGreen Purple Brown Purple Red Brown Gray Yellow Yellow Gray Gray Green\n\n\nHere is the input grid for the test example:\nInput:\nGreen Gray Pink Green Orange Pink Purple Green Gray Purple Gray Gray Red Gray\nPurple Purple Red Pink Gray Green Purple Purple Purple Green Green Red Green Pink\nGreen Gray Purple Gray Green Pink Gray Green Purple Gray Purple Gray Pink Pink\nGreen Red Pink Purple Pink Pink Purple Red Purple Gray Purple Pink Green Pink\nRed Gray Red Red Purple Red Purple Green Gray Red Gray Red Green Gray\nYellow Pink Purple Purple Yellow Blue Orange Green Green Gray Gray Green Green Green\nOrange Red Pink Pink Red Gray Pink Green Red Gray Pink Purple Pink Blue\nGreen Gray Purple Gray Purple Blue Gray Purple Pink Green Green Pink Red Gray\nRed Green Purple Green Gray Green Red Purple Red Pink Yellow Brown Pink Purple\nPink Pink Green Green Green Pink Purple Green Red Purple Red Red Gray Green\nGray Green Gray Gray Pink Green Gray Gray Blue Purple Red Green Gray Green\nPurple Green Green Gray Red Purple Green Purple Red Orange Pink Gray Green Red\nGreen Red Red Green Pink Pink Purple Red Green Green Red Purple Pink Pink\nPurple Red Green Pink Red Pink Purple Gray Pink Pink Green Gray 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```\nPurple Green Gray Pink Green Orange Pink Purple Green Gray Purple Red Gray Red\nGreen Gray Purple Red Pink Gray Green Green Gray Purple Gray Green Red Green\nPurple Green Gray Purple Gray Green Pink Gray Green Purple Gray Purple Gray Gray\nRed Green Red Pink Purple Red Pink Purple Red Purple Gray Purple Pink Green\nGreen Red Gray Purple Red Purple Red Purple Green Gray Red Gray Red Green\nRed Yellow Pink Red Purple Yellow Blue Orange Gray Green Pink Gray Pink Gray\nYellow Orange Red Purple Pink Red Gray Pink Green Red Gray Pink Purple Pink\nOrange Green Gray Purple Gray Purple Blue Gray Purple Pink Pink Green Pink Red\nGreen Red Green Purple Green Gray Green Red Purple Red Pink Yellow Brown Pink\nRed Green Pink Gray Gray Green Pink Purple Green Red Purple Brown Red Gray\nPink Gray Green Green Gray Pink Green Green Gray Blue Purple Red Green Gray\nGray Purple Gray Green Gray Red Purple Green Purple Red Orange Pink Gray Green\nPurple Green Green Red Green Purple Pink Purple Red Orange Green Red Purple Red\nGreen Purple Red Green Pink Red Pink Purple Gray Green Pink Green Gray Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack 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 Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Blue Yellow Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Blue Blue Blue Yellow Black Black\nBlack Black Yellow Blue Blue Yellow Black Black Black Black Yellow Blue Blue Blue Yellow Black Black\nBlack Black Yellow Blue Blue Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack 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\nBlack Black Green Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Green Green Green Green Black Green Green Green Green Green Green Black Black Black\nBlack Green Green Green Green Black Green Green Green Green Green Green Black Black Black\nBlack Black Green Green Black Black Green Black Black Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Yellow Blue Blue Blue Blue Yellow Black Black Black\nBlack Yellow Blue Blue Yellow Black Yellow Yellow Yellow Blue Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Black Black Yellow Black Black Black Black Black\nBlack Yellow Blue Blue Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Blue Blue Blue Blue Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow 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\nBlack Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Pink Pink Black Pink\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Pink Black Black\nBlack Pink Black Black Black Black Pink Black\nBlack Black Black Pink Pink Black Pink Black\nBlack Pink Black Black Black Black Pink Black\nBlack Pink Black Black Black Black Pink Pink\nPink Black Black Black Pink Pink Black Pink\n\nOutput:\nBlack Black Pink Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Pink Black\nBlack Black Black Pink Pink Black Black Black\nBlack Pink Black Black Black Black Pink Black\nBlack Pink Black Black Black Black Pink Black\nPink Black Black Black Black Black Black Pink\n\n\nExample 2\nInput:\nBlack Black Black Yellow Black Black Yellow\nBlack Black Black Black Black Yellow Yellow\nBlack Black Yellow Black Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Yellow\nYellow Yellow Black Yellow Black Yellow Yellow\nBlack Black Black Yellow Black Yellow Black\n\nOutput:\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black\nYellow Yellow Black Black Black Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Yellow\nYellow Yellow Black Yellow Black Yellow Yellow\nBlack Black Black Yellow Black Black Black\n\n\nExample 3\nInput:\nBrown Black Black Black Brown Brown Black Black Brown\nBrown Brown Black Black Black Black Brown Brown Brown\nBlack Black Brown Brown Black Brown Brown Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Brown Brown Black Brown Brown Black Brown\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Black Brown Black Brown Black Brown\n\nOutput:\nBrown Black Black Black Brown Black Black Black Brown\nBrown Brown Black Black Black Black Black Brown Brown\nBlack Black Brown Brown Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Black Brown Black Black Black Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Black Pink Pink Black\nBlack Black Black Pink Black Pink Black Pink Black\nBlack Pink Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Pink Black Pink Pink Pink Black\nBlack Black Pink Black Black Black Pink Black Black\nBlack Black Black Black Pink 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 Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black\nBlack Pink Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black\nBlack Black Pink Black Black Black Pink Black Black\nBlack Black Black Black Pink Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Pink Pink Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Pink Pink Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Brown Black Brown Black Black Black Black Black\nBlack Brown Black Brown Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black\nBlack Brown Brown Brown 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Brown Yellow Brown Yellow Yellow Yellow Yellow Yellow\nYellow Brown Yellow Brown Yellow Yellow Yellow Yellow Yellow\nYellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow\nYellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Pink Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Black Black Black Yellow\nBrown Black Black Black Yellow\nBrown Black Black Black Yellow\nBrown Black Black Black Yellow\nBrown Black Black Black Yellow\n\nOutput:\nRed Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nOrange Black Black Black Green\nOrange Black Black Black Green\nOrange Black Black Black Green\nOrange Black Black Black Green\nOrange Black Black Black Green\n\nOutput:\nYellow Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nPurple Black Black Black Green\nPurple Black Black Black Green\nPurple Black Black Black Green\nPurple Black Black Black Green\nPurple Black Black Black Green\n\nOutput:\nYellow Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Gray\nPink Black Black Black Gray\nPink Black Black Black Gray\nPink Black Black Black Gray\nPink Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Red Red Brown Brown 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 Brown Brown 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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown 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 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 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 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 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 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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Orange Orange 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 Brown Brown Orange Orange Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange 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 Brown Brown Orange Orange Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGreen Pink Green Gray Purple Purple\nBrown Blue Orange Yellow Orange Purple\nOrange Orange Orange Purple Green Blue\nPink Gray Red Green Yellow Brown\nGray Orange Purple Green Yellow Gray\nPurple Brown Yellow Green Orange Purple\nBrown Orange Orange Purple Brown Pink\nPink Orange Purple Blue Purple Pink\nYellow Green Gray Orange Brown Gray\n\nOutput:\nGreen Pink Green Gray Purple Purple\nBrown Blue Orange Yellow Orange Purple\nOrange Orange Orange Purple Green Blue\nPink Gray Red Green Yellow Brown\nGray Orange Purple Green Yellow Gray\nPurple Brown Yellow Green Orange Purple\nBrown Orange Orange Purple Brown Pink\nPink Orange Purple Blue Purple Pink\nYellow Green Gray Orange Brown Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nRed Purple Green Pink Purple\nGray Brown Pink Purple Red\nBlue Brown Brown Purple Purple\nPink Gray Orange Blue Blue\nGreen Brown Blue Yellow Pink\nRed Purple Orange Orange Red\nBlue Blue Pink Yellow Green\nYellow Brown Brown Yellow Blue\nOrange Orange Purple Green Orange\n\nOutput:\nRed Purple Green Pink Purple\nGray Brown Pink Purple Red\nBlue Brown Brown Purple Purple\nPink Gray Orange Blue Blue\nGreen Brown Blue Yellow Pink\nRed Purple Orange Orange Red\nBlue Blue Pink Yellow Green\nYellow Brown Brown Yellow Blue\nOrange Orange Purple Green Orange\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nPurple Orange Gray Purple Gray\nOrange Yellow Orange Pink Green\nBlue Purple Green Gray Gray\nGreen Blue Brown Orange Blue\nRed Pink Blue Purple Pink\nYellow Gray Blue Pink Brown\nYellow Orange Purple Yellow Yellow\nBrown Pink Green Red Brown\n\nOutput:\nPurple Orange Gray Purple Gray\nOrange Yellow Orange Pink Green\nBlue Purple Green Gray Gray\nGreen Blue Brown Orange Blue\nRed Pink Blue Purple Pink\nYellow Gray Blue Pink Brown\nYellow Orange Purple Yellow Yellow\nBrown Pink Green Red Brown\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\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 Black Black Black\nBlue Orange Orange Red Gray Purple Brown\nBrown Brown Blue Brown Green Orange Purple\nGray Brown Yellow Pink Purple Brown Purple\nBrown Pink Brown Red Yellow Green Red\nPink Gray Purple Blue Orange Green Green\nGreen Pink Pink Gray Blue Pink Blue\nGray Gray Pink Pink Orange Red Yellow\nPink Pink Pink Orange Purple Orange Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Orange Orange Red Gray Purple Brown\nBrown Brown Blue Brown Green Orange Purple\nGray Brown Yellow Pink Purple Brown Purple\nBrown Pink Brown Red Yellow Green Red\nPink Gray Purple Blue Orange Green Green\nGreen Pink Pink Gray Blue Pink Blue\nGray Gray Pink Pink Orange Red Yellow\nPink Pink Pink Orange Purple Orange Purple\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 Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Orange Orange Green Black Black\nBlack Black Green Brown Orange Pink Black Black\nBlack Black Gray Purple Brown Pink Black Black\nBlack Black Yellow Pink Orange Purple 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\nBlack Brown Orange Orange Green Black\nBlack Green Brown Orange Pink Black\nBlack Gray Purple Brown Pink Black\nBlack Yellow Pink Orange Purple Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Brown Orange Red Black Black\nBlack Black Gray Blue Pink Green Black Black\nBlack Black Red Blue Yellow Orange 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\nBlack Blue Brown Orange Red Black\nBlack Gray Blue Pink Green Black\nBlack Red Blue Yellow Orange Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Orange Blue Black Black\nBlack Black Black Green Red Yellow Black Black\nBlack Black Black Yellow Brown Gray 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\nBlack Purple Orange Blue Black\nBlack Green Red Yellow Black\nBlack Yellow Brown Gray Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Blue Brown Black Black\nBlack Black Black Gray Brown Pink Black Black\nBlack Black Black Green Gray Pink 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\nBlack Pink Blue Brown Black\nBlack Gray Brown Pink Black\nBlack Green Gray Pink 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Orange Black Black Orange Yellow Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nPink Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Pink 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Green Green Green Orange Orange Orange Orange Orange Orange Purple Purple\nOrange Orange Black Purple Purple Purple Black Black Black Green Green Green Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Black Black Black Black Brown Brown Brown Green Green Green Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow\nPink Pink Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Yellow Yellow\nPink Pink Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Yellow Yellow\nPink Pink Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue 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\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Blue Blue Blue 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\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black 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 Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Purple Purple Purple 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 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 Blue Blue Blue Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Pink Green Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Brown Brown Brown Black Black Black Black Black Brown Brown\nBlack Black Black Pink Pink Pink Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown\nBlack Black Black Pink Pink Pink Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nOutput:\nBlack Black Black Black Black Black\nBlack Pink Pink Pink Black Black\nBlack Pink Pink Pink Black Black\nBlack Pink Pink Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black 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\n\nOutput:\nYellow Black\nBlack 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 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\nOutput:\nBlack Black Black Black Black Black\nBlack Brown Brown Brown Black Black\nBlack Brown Brown Brown Black Black\nBlack Brown Brown Brown 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black\nBlack Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black\n\nOutput:\nBlack Black Black Orange Black Black Black\nOrange Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Orange Pink Pink Pink\nBlack Black Black Black Pink Black Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Gray Black Black Black\nGray Gray Gray Gray Orange Orange Orange\nGray Gray Gray Gray Orange Orange Orange\nGray Gray Gray Gray Orange Orange Orange\nGray Gray Gray Gray Orange Orange Orange\nGray Gray Gray Gray Orange Orange Orange\nBlack Black Black Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black 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 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 Pink Black Black\nPink Pink Pink Pink Pink Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray\nBlack Black Black Black Gray Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Red Black\nBlack Black Black Red Red Black\nBlack Red Red Red Black Black\nBlack Red Red Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Red\nRed Red Black Black Black Black Red Red\nBlack Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black\nBlack Red Red Red Red Red Red Black\nRed Red Black Black Black Black Red Red\nRed Black Black Black Black Black Black Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Red Red Black Black\nBlack Red Gray Red Gray Black Black\nBlack Red Red Red Red Red Black\nBlack Black Gray Red Gray Red Black\nBlack Black Red Red Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Red Red Black Black Black Black Red Red Black\nBlack Gray Red Gray Red Red Gray Red Gray Black\nRed Red Red Red Red Red Red Red Red Red\nRed Gray Red Gray Black Black Gray Red Gray Red\nBlack Black Red Red Black Black Red Red Black Black\nBlack Black Red Red Black Black Red Red Black Black\nRed Gray Red Gray Black Black Gray Red Gray Red\nRed Red Red Red Red Red Red Red Red Red\nBlack Gray Red Gray Red Red Gray Red Gray Black\nBlack Red Red Black Black Black Black Red Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black\nBlack Black Black Black Gray Purple Black\nBlack Black Black Gray Gray Black Black\nBlack Black Purple Gray Black Black Black\nBlack Purple Gray Gray Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Purple\nPurple Gray Black Black Black Black Black Black Gray Purple\nBlack Gray Gray Black Black Black Black Gray Gray Black\nBlack Black Gray Purple Black Black Purple Gray Black Black\nBlack Black Gray Gray Purple Purple Gray Gray Black Black\nBlack Black Gray Gray Purple Purple Gray Gray Black Black\nBlack Black Gray Purple Black Black Purple Gray Black Black\nBlack Gray Gray Black Black Black Black Gray Gray Black\nPurple Gray Black Black Black Black Black Black Gray Purple\nPurple Black Black Black Black Black Black Black Black Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Green Black Black Black\nBlack Orange 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```\nGreen Green Green Green Green Green\nBlack Black Green Green Black Black\nBlack Black Orange Orange Black Black\nBlack Black Orange Orange Black Black\nBlack Black Green Green Black Black\nGreen Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Black Yellow\nYellow Black Yellow Yellow\nBlack Yellow Black Black\nBlack Black Yellow Black\n\nOutput:\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Yellow Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Yellow Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Yellow Black\n\n\nExample 2\nInput:\nPink Black Pink Black Black\nBlack Black Black Pink Pink\nBlack Black Black Pink Pink\nPink Pink Black Black Black\nPink Black Black Pink Black\n\nOutput:\nPink Black Pink Black Black Pink Black Pink Black Black\nBlack Black Black Pink Pink Black Black Black Pink Pink\nBlack Black Black Pink Pink Black Black Black Pink Pink\nPink Pink Black Black Black Pink Pink Black Black Black\nPink Black Black Pink Black Pink Black Black Pink Black\nPink Black Pink Black Black Pink Black Pink Black Black\nBlack Black Black Pink Pink Black Black Black Pink Pink\nBlack Black Black Pink Pink Black Black Black Pink Pink\nPink Pink Black Black Black Pink Pink Black Black Black\nPink Black Black Pink Black Pink Black Black Pink Black\n\n\nExample 3\nInput:\nBlack Black Orange Orange Black\nOrange Orange Black Black Orange\nBlack Orange Orange Black Orange\nBlack Black Orange Black Black\nBlack Orange Orange Black Black\n\nOutput:\nBlack Black Orange Orange Black Black Black Orange Orange Black\nOrange Orange Black Black Orange Orange Orange Black Black Orange\nBlack Orange Orange Black Orange Black Orange Orange Black Orange\nBlack Black Orange Black Black Black Black Orange Black Black\nBlack Orange Orange Black Black Black Orange Orange Black Black\nBlack Black Orange Orange Black Black Black Orange Orange Black\nOrange Orange Black Black Orange Orange Orange Black Black Orange\nBlack Orange Orange Black Orange Black Orange Orange Black Orange\nBlack Black Orange Black Black Black Black Orange Black Black\nBlack Orange Orange Black Black Black Orange Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray\nBlack Black Black\nGray 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\nBlack Black Black Black Black Black\nGray Black Gray Gray Black Gray\nGray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black\nGray Black Gray Gray Black Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Pink Brown Brown Yellow Orange Blue Yellow Purple Blue Pink Gray Orange Pink Black\nBlack Gray Blue Green Blue Gray Green Orange Orange Green Brown Blue Blue Purple Green Black\nBlack Green Pink Purple Pink Pink Yellow Brown Pink Gray Orange Purple Pink Yellow Red Black\nBlack Blue Red Purple Purple Green Blue Green Green Gray Blue Pink Brown Yellow Brown Black\nBlack Blue Green Yellow Brown Yellow Pink Purple Brown Red Purple Orange Purple Blue Blue Black\nBlack Brown Red Brown Yellow Purple Pink Brown Gray Green Blue Orange Red Purple Yellow Black\nBlack Pink Purple Orange Gray Gray Gray Orange Orange Yellow Gray Purple Yellow Blue Purple Black\nBlack Gray Orange Orange Pink Yellow Orange Gray Green Yellow Blue Pink Purple Green Orange Black\nBlack Purple Pink Red Green Red Purple Purple Purple Gray Green Purple Green Green Yellow Black\nBlack Pink Gray Blue Brown Pink Red Purple Orange Yellow Gray Brown Pink Brown Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Green Blue Orange Red Purple Yellow Black Black Brown Red Brown Yellow Purple Pink Brown\nOrange Yellow Gray Purple Yellow Blue Purple Black Black Pink Purple Orange Gray Gray Gray Orange\nGreen Yellow Blue Pink Purple Green Orange Black Black Gray Orange Orange Pink Yellow Orange Gray\nPurple Gray Green Purple Green Green Yellow Black Black Purple Pink Red Green Red Purple Purple\nOrange Yellow Gray Brown Pink Brown Red Black Black Pink Gray Blue Brown Pink Red Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Purple Blue Pink Gray Orange Pink Black Black Purple Pink Brown Brown Yellow Orange Blue\nOrange Green Brown Blue Blue Purple Green Black Black Gray Blue Green Blue Gray Green Orange\nPink Gray Orange Purple Pink Yellow Red Black Black Green Pink Purple Pink Pink Yellow Brown\nGreen Gray Blue Pink Brown Yellow Brown Black Black Blue Red Purple Purple Green Blue Green\nBrown Red Purple Orange Purple Blue Blue Black Black Blue Green Yellow Brown Yellow Pink Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Pink Blue Yellow Brown Orange Brown Pink Gray Pink Gray Pink Black\nBlack Red Blue Purple Red Gray Gray Brown Purple Pink Pink Pink Orange Black\nBlack Green Orange Purple Gray Blue Orange Blue Gray Pink Orange Orange Blue Black\nBlack Brown Gray Yellow Red Pink Green Blue Orange Purple Red Brown Pink Black\nBlack Yellow Brown Red Orange Green Orange Red Orange Gray Green Purple Yellow Black\nBlack Gray Gray Yellow Brown Orange Yellow Purple Purple Orange Brown Green Green Black\nBlack Blue Brown Yellow Orange Brown Orange Pink Orange Red Pink Green Brown Black\nBlack Brown Pink Purple Green Brown Yellow Purple Gray Pink Orange Brown Red Black\nBlack Red Orange Purple Orange Purple Orange Brown Purple Gray Orange Gray Green Black\nBlack Red Green Pink Green Yellow Blue Green Pink Red Gray Blue Brown Black\nBlack Orange Blue Pink Orange Orange Yellow Orange Gray Yellow Red Green Green Black\nBlack Orange Gray Brown Green Blue Brown Gray Gray Red Purple Green Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Orange Red Pink Green Brown Black Black Blue Brown Yellow Orange Brown Orange\nPurple Gray Pink Orange Brown Red Black Black Brown Pink Purple Green Brown Yellow\nBrown Purple Gray Orange Gray Green Black Black Red Orange Purple Orange Purple Orange\nGreen Pink Red Gray Blue Brown Black Black Red Green Pink Green Yellow Blue\nOrange Gray Yellow Red Green Green Black Black Orange Blue Pink Orange Orange Yellow\nGray Gray Red Purple Green Pink Black Black Orange Gray Brown Green Blue Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Pink Gray Pink Gray Pink Black Black Blue Pink Blue Yellow Brown Orange\nBrown Purple Pink Pink Pink Orange Black Black Red Blue Purple Red Gray Gray\nBlue Gray Pink Orange Orange Blue Black Black Green Orange Purple Gray Blue Orange\nBlue Orange Purple Red Brown Pink Black Black Brown Gray Yellow Red Pink Green\nRed Orange Gray Green Purple Yellow Black Black Yellow Brown Red Orange Green Orange\nPurple Purple Orange Brown Green Green Black Black Gray Gray Yellow Brown Orange Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Gray Brown Blue Pink Green Orange Red Orange Blue Red Brown Green Gray Green Blue Black\nBlack Gray Red Blue Red Green Gray Orange Red Green Green Green Yellow Red Red Yellow Brown Black\nBlack Brown Pink Yellow Orange Pink Green Red Pink Pink Brown Orange Brown Blue Red Yellow Purple Black\nBlack Orange Green Pink Purple Blue Pink Blue Purple Brown Gray Orange Purple Brown Pink Orange Blue Black\nBlack Purple Pink Blue Gray Orange Brown Yellow Purple Red Red Orange Brown Green Purple Pink Purple Black\nBlack Yellow Purple Purple Blue Purple Brown Orange Gray Pink Pink Red Purple Orange Red Red Pink Black\nBlack Brown Yellow Brown Yellow Orange Yellow Red Pink Gray Blue Gray Pink Green Brown Orange Pink Black\nBlack Purple Pink Yellow Gray Brown Red Gray Purple Yellow Blue Pink Gray Purple Yellow Blue Purple Black\nBlack Orange Brown Pink Green Yellow Orange Purple Pink Brown Gray Purple Blue Orange Brown Orange Brown Black\nBlack Blue Gray Orange Red Green Gray Yellow Red Yellow Yellow Green Yellow Purple Pink Brown Brown Black\nBlack Yellow Purple Red Blue Red Purple Red Purple Purple Red Brown Pink Brown Pink Red Gray Black\nBlack Brown Green Purple Red Purple Red Green Gray Orange Blue Red Red Orange Orange Purple Gray Black\nBlack Yellow Purple Blue Yellow Pink Orange Purple Red Blue Green Pink Blue Yellow Blue Purple Gray Black\nBlack Gray Blue Purple Purple Brown Red Red Green Green Green Red Pink Purple Brown Purple Pink Black\nBlack Purple Purple Green Green Blue Brown Green Orange Gray Green Red Red Purple Purple Pink Orange Black\nBlack Orange Green Brown Brown Brown Blue Purple Green Green Gray Blue Gray Gray Red Orange Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Gray Purple Blue Orange Brown Orange Brown Black Black Orange Brown Pink Green Yellow Orange Purple Pink\nYellow Yellow Green Yellow Purple Pink Brown Brown Black Black Blue Gray Orange Red Green Gray Yellow Red\nPurple Red Brown Pink Brown Pink Red Gray Black Black Yellow Purple Red Blue Red Purple Red Purple\nOrange Blue Red Red Orange Orange Purple Gray Black Black Brown Green Purple Red Purple Red Green Gray\nBlue Green Pink Blue Yellow Blue Purple Gray Black Black Yellow Purple Blue Yellow Pink Orange Purple Red\nGreen Green Red Pink Purple Brown Purple Pink Black Black Gray Blue Purple Purple Brown Red Red Green\nGray Green Red Red Purple Purple Pink Orange Black Black Purple Purple Green Green Blue Brown Green Orange\nGreen Gray Blue Gray Gray Red Orange Pink Black Black Orange Green Brown Brown Brown Blue Purple Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Blue Red Brown Green Gray Green Blue Black Black Orange Gray Brown Blue Pink Green Orange Red\nGreen Green Green Yellow Red Red Yellow Brown Black Black Gray Red Blue Red Green Gray Orange Red\nPink Brown Orange Brown Blue Red Yellow Purple Black Black Brown Pink Yellow Orange Pink Green Red Pink\nBrown Gray Orange Purple Brown Pink Orange Blue Black Black Orange Green Pink Purple Blue Pink Blue Purple\nRed Red Orange Brown Green Purple Pink Purple Black Black Purple Pink Blue Gray Orange Brown Yellow Purple\nPink Pink Red Purple Orange Red Red Pink Black Black Yellow Purple Purple Blue Purple Brown Orange Gray\nGray Blue Gray Pink Green Brown Orange Pink Black Black Brown Yellow Brown Yellow Orange Yellow Red Pink\nYellow Blue Pink Gray Purple Yellow Blue Purple Black Black Purple Pink Yellow Gray Brown Red Gray Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Gray Purple Blue Brown Blue Yellow Orange Yellow Purple Orange Red Red Blue Brown Green Orange Purple Black\nBlack Green Gray Yellow Orange Pink Yellow Orange Brown Purple Gray Green Green Orange Brown Pink Red Red Orange Black\nBlack Brown Yellow Red Gray Green Green Gray Brown Purple Pink Yellow Green Pink Green Pink Yellow Blue Green Black\nBlack Yellow Purple Pink Yellow Brown Green Orange Red Orange Yellow Gray Purple Pink Blue Orange Green Purple Blue Black\nBlack Gray Green Purple Purple Pink Red Pink Blue Orange Pink Yellow Gray Blue Blue Orange Brown Red Green Black\nBlack Brown Green Brown Orange Blue Brown Brown Purple Pink Green Gray Purple Orange Green Purple Pink Pink Orange Black\nBlack Green Gray Brown Red Orange Pink Green Pink Green Brown Blue Purple Purple Purple Yellow Orange Brown Purple Black\nBlack Gray Blue Red Purple Pink Gray Orange Red Brown Pink Blue Brown Purple Blue Yellow Purple Purple Gray 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```\nPink Yellow Gray Blue Blue Orange Brown Red Green Black Black Gray Green Purple Purple Pink Red Pink Blue Orange\nGreen Gray Purple Orange Green Purple Pink Pink Orange Black Black Brown Green Brown Orange Blue Brown Brown Purple Pink\nBrown Blue Purple Purple Purple Yellow Orange Brown Purple Black Black Green Gray Brown Red Orange Pink Green Pink Green\nPink Blue Brown Purple Blue Yellow Purple Purple Gray Black Black Gray Blue Red Purple Pink Gray Orange Red Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Orange Red Red Blue Brown Green Orange Purple Black Black Red Gray Purple Blue Brown Blue Yellow Orange Yellow\nGray Green Green Orange Brown Pink Red Red Orange Black Black Green Gray Yellow Orange Pink Yellow Orange Brown Purple\nPink Yellow Green Pink Green Pink Yellow Blue Green Black Black Brown Yellow Red Gray Green Green Gray Brown Purple\nYellow Gray Purple Pink Blue Orange Green Purple Blue Black Black Yellow Purple Pink Yellow Brown Green Orange Red 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 Brown Blue Yellow Red\nBlack Black Black Black Black Black Black Black Black Brown Blue Yellow Red\nBlack Black Black Black Black Black Black Black Black Brown Blue Yellow Red\nBlack Black Black Black Black Black Black Black Black Brown Blue Yellow Red\nBlack Black Black Black Black Black Black Black Black Brown Blue Yellow Red\nBlack Black Black Black Black Black Black Black Black Brown Blue Yellow Red\nBlack Black Black Black Black Black Black Black Black Brown Blue Yellow Red\nBlack Black Black Black Black Black Black Black Black Brown Blue Yellow Red\nBlack Black Black Black Black Black Black Black Black Brown Blue Yellow Red\nBlack Black Black Black Black Black Black Black Black Brown Blue Yellow Red\nBlack Black Black Black Black Black Black Black Black Brown Blue Yellow Red\nBlack Black Black Black Black Black Black Black Black Brown Blue Yellow Red\nBlack Black Black Black Black Black Black Black Black Brown Blue Yellow Red\nRed Red Red Red Red Red Red Red Red Brown Blue Yellow Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Blue Yellow Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Yellow Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Brown Blue Yellow Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow Green Orange\nBlack Black Black Black Black Black Black Black Black Yellow Green Orange\nBlack Black Black Black Black Black Black Black Black Yellow Green Orange\nBlack Black Black Black Black Black Black Black Black Yellow Green Orange\nBlack Black Black Black Black Black Black Black Black Yellow Green Orange\nBlack Black Black Black Black Black Black Black Black Yellow Green Orange\nBlack Black Black Black Black Black Black Black Black Yellow Green Orange\nBlack Black Black Black Black Black Black Black Black Yellow Green Orange\nBlack Black Black Black Black Black Black Black Black Yellow Green Orange\nBlack Black Black Black Black Black Black Black Black Yellow Green Orange\nBlack Black Black Black Black Black Black Black Black Yellow Green Orange\nBlack Black Black Black Black Black Black Black Black Yellow Green Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Green Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Green Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Green Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Gray Red Yellow Brown Purple\nBlack Black Black Black Black Black Black Gray Red Yellow Brown Purple\nBlack Black Black Black Black Black Black Gray Red Yellow Brown Purple\nBlack Black Black Black Black Black Black Gray Red Yellow Brown Purple\nBlack Black Black Black Black Black Black Gray Red Yellow Brown Purple\nBlack Black Black Black Black Black Black Gray Red Yellow Brown Purple\nBlack Black Black Black Black Black Black Gray Red Yellow Brown Purple\nBlack Black Black Black Black Black Black Gray Red Yellow Brown Purple\nBlack Black Black Black Black Black Black Gray Red Yellow Brown Purple\nBlack Black Black Black Black Black Black Gray Red Yellow Brown Purple\nBlack Black Black Black Black Black Black Gray Red Yellow Brown Purple\nRed Red Red Red Red Red Red Gray Red Yellow Brown Purple\nGray Gray Gray Gray Gray Gray Gray Gray Red Yellow Brown Purple\nOrange Orange Orange Orange Orange Orange Orange Gray Red Yellow Brown Purple\nBlue Blue Blue Blue Blue Blue Blue Gray Red Yellow Brown Purple\nPink Pink Pink Pink Pink Pink Pink Gray Red Yellow Brown Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Gray Orange Red Purple Yellow Green\nBlack Black Black Black Black Black Black Black Gray Orange Red Purple Yellow Green\nBlack Black Black Black Black Black Black Black Gray Orange Red Purple Yellow Green\nBlack Black Black Black Black Black Black Black Gray Orange Red Purple Yellow Green\nBlack Black Black Black Black Black Black Black Gray Orange Red Purple Yellow Green\nBlack Black Black Black Black Black Black Black Gray Orange Red Purple Yellow Green\nBlack Black Black Black Black Black Black Black Gray Orange Red Purple Yellow Green\nBlack Black Black Black Black Black Black Black Gray Orange Red Purple Yellow Green\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Orange Red Purple Yellow Green\nGreen Green Green Green Green Green Green Green Gray Orange Red Purple Yellow Green\nOrange Orange Orange Orange Orange Orange Orange Orange Gray Orange Red Purple Yellow Green\nBlue Blue Blue Blue Blue Blue Blue Blue Gray Orange Red Purple Yellow Green\nBrown Brown Brown Brown Brown Brown Brown Brown Gray Orange Red Purple Yellow Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Orange Red Purple Yellow Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Orange 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 Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Pink Black Gray 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 Orange Blue Black Black Brown Purple Pink Black Gray Yellow Black Black Black\nRed Red Red Red Red Red Red Red Black Brown Purple Pink Black Gray Yellow Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Brown Purple Pink Black Gray Yellow Black Black Black\nBlack Black Black Black Black Orange Blue Black Black Brown Purple Pink Black Gray Yellow Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Brown Purple Pink Black Gray Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Brown Purple Pink Black Gray Yellow Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Brown Purple Pink Black Gray Yellow Black Black Black\nBlack Black Black Black Black Orange Blue Black Black Brown Purple Pink Black Gray Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nYellow Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black\nBlack Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black\nBlack Black Black Black Black Gray Black\n\nOutput:\nYellow Purple Brown Black Black Gray Black\nYellow Purple Brown Orange Orange Gray Orange\nYellow Purple Brown Black Black Gray Black\nGreen Green Brown Green Green Gray Green\nYellow Purple Brown Yellow Yellow Gray Yellow\nBrown Brown Brown Brown Brown Gray Brown\nPink Purple Brown Pink Pink Gray Pink\nBlack Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Brown 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\nBlack Black Black Black Black Purple Black\nBlack Black Black Pink Black Black Black\n\nOutput:\nGray Black Black Pink Brown Purple Black\nRed Red Red Red Red Purple Red\nBrown Brown Brown Brown Brown Purple Brown\nGray Gray Gray Pink Brown Purple Gray\nGray Black Black Pink Brown Purple Black\nGray Black Black Pink Brown Purple Black\nGray Black Black Pink Brown Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Brown Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black Green Brown Black Black Black\nBlue Black Black Black Green Brown Black Black Black\nRed Red Red Red Green Brown Red Red Red\nBlue Black Black Black Green Brown Black Black Black\nBlue Black Black Black Green Brown Black Black Black\nPurple Purple Purple Purple Green Brown Purple Purple Purple\nBlue Black Black Black Green Brown Black Black Black\nBlue Black Black Black Green Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Green Yellow Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Yellow Green Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Blue Black Black Black Black Yellow Red Yellow Black Black Black Black Red Black Black\nBlack Black Blue Black Black Black Red Red Red Red Red Black Black Black Red Black Black\nBlack Black Blue Black Black Black Yellow Red Black Red Yellow Black Black Black Red Red Black\nBlack Black Black Black Black Black Yellow Red Black Red Yellow Black Black Black Red Red Red\nRed Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Green Yellow Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Yellow Green Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Blue Black Black Black Black Yellow Purple Yellow Black Black Black Black Purple Black Black\nBlack Black Blue Black Black Black Purple Purple Purple Purple Purple Black Black Black Purple Black Black\nBlack Black Blue Black Black Black Yellow Purple Black Purple Yellow Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Yellow Purple Black Purple Yellow Black Black Black Purple Purple Purple\nRed Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Red Black Black Black Black Red Red Red Yellow Black Black Yellow Black Yellow\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Green Blue Green\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Green Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green\nGreen 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\nBlack Black Green Green Red Green Green Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Green Green Green\nBlack Black Black Black Black Black Blue Black Black Black Green Black Black Green Black Green\nBlack Black Black Black Black Green Blue Black Black Yellow Yellow Yellow Black Green Green Green\nBlack Black Black Black Red Green Black Black Black Black Green Black Black Yellow Yellow Yellow\n\nOutput:\nBlack Black Red Black Black Black Black Red Red Red Yellow Black Black Purple Black Purple\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Green Blue Green\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Green Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green\nGreen 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\nBlack Black Green Green Red Green Green Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Purple Purple Purple\nBlack Black Black Black Black Black Blue Black Black Black Green Black Black Purple Black Purple\nBlack Black Black Black Black Green Blue Black Black Yellow Yellow Yellow Black Purple Purple Purple\nBlack Black Black Black Red Green Black Black Black Black Green Black Black Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Blue Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Red Black Black Black Black Green Black Black\nBlack Black Black Blue Black Black Green Black Black Black Black Green Black Black\nBlack Black Black Blue Black Black Red Black Black Black Black Green Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Green Black Black\nYellow Black Black Black Red Black Black Black Black Black Black Black Black Black\nRed Black Black Black Yellow Black Black Black Black Green Green Green Yellow Black\nRed Black Black Black Blue Black Black Black Black Red Green Green Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Blue Black\nBlack Red Red Blue Blue Black Black Black Black Red Green Green Yellow Black\nBlack Black Black Black Blue Blue Black Black Black Green Green Green Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Red Black Black Black Black Green Black Black\nBlack Black Black Blue Black Black Green Black Black Black Black Green Black Black\nBlack Black Black Blue Black Black Red Black Black Black Black Green Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Green Black Black\nYellow Black Black Black Red Black Black Black Black Black Black Black Black Black\nRed Black Black Black Yellow Black Black Black Black Purple Purple Purple Yellow Black\nRed Black Black Black Blue Black Black Black Black Red Purple Purple Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Blue Black\nBlack Red Red Blue Blue Black Black Black Black Red Purple Purple Yellow Black\nBlack Black Black Black Blue Blue Black Black Black Purple Purple Purple Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Yellow Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Blue Green Blue Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Blue Black Black Red Black Black Black\nBlack Black Black Black Black Green Black Blue Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Blue Black Black Red Red Red Black\nBlack Black Black Black Black Blue Green Blue Black Black Red Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Black Black Red Red Red Red Black\nBlack Black Black Blue Blue Green Green Black Black Red Black Black Red Black\nBlack Black Black Blue Blue Green Black Black Black Blue Yellow Yellow Blue Black\nBlack Black Black Black Red Green Black Black Black Blue Blue Blue Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Yellow Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Blue Green Purple Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Purple Black Black Purple Black Black Black\nBlack Black Black Black Black Green Black Purple Black Black Purple Black Black Black\nBlack Black Black Black Black Red Red Purple Black Black Purple Purple Purple Black\nBlack Black Black Black Black Blue Green Purple Black Black Purple Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Red Red Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Red Black Black Purple Purple Purple Purple Black\nBlack Black Black Blue Blue Green Green Black Black Purple Black Black Purple Black\nBlack Black Black Blue Blue Green Black Black Black Purple Yellow Yellow Purple Black\nBlack Black Black Black Red Green Black Black Black Purple Purple Purple Purple 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 Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nYellow Yellow Yellow Black Black Black Brown Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBrown Brown Brown Black Black Black Brown Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Green 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 Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Pink Pink Pink Black Black\nBlack Gray Gray Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Gray Gray Gray Black Black\nBlack Gray Gray Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Black Black Black Black Black Black Black\nBlack Black Pink Yellow Yellow Green Green Green Green Black Yellow Pink Black Black Black Black Black Black\nBlack Black Pink Yellow Green Blue Blue Blue Blue Green Yellow Pink Black Black Black Black Black Black\nBlack Black Pink Yellow Green Blue Red Red Blue Green Yellow Pink Pink Black Black Black Black Black\nBlack Black Pink Yellow Green Blue Red Red Blue Green Yellow Pink Pink Black Black Black Black Black\nBlack Black Pink Yellow Green Blue Blue Blue Blue Green Yellow Pink Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Green Green Green Green Black Yellow\nYellow Blue Blue Blue Blue Green Yellow\nYellow Blue Red Red Blue Green Yellow\nYellow Blue Red Red Blue Green Yellow\nYellow Blue Blue Blue Blue Green Yellow\nYellow Green Green Green Green Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Black Black Black\nGreen Green Green Black Yellow Black Black\nBlue Blue Blue Green Yellow Black Black\nBlue Red Blue Green Yellow Yellow Black\nBlue Red Blue Green Yellow Yellow Black\nBlue Blue Blue Green Yellow Black Black\nGreen Green Green Black Yellow Black Black\nYellow Yellow 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Yellow Yellow Green Green Green Green Green Yellow\nPink Yellow Green Blue Red Red Blue Green Yellow\nPink Yellow Green Blue Red Red Blue Green Yellow\nPink Yellow Green Blue Blue Blue Blue Green Yellow\nPink Yellow Yellow Green Green Green Green Black Yellow\nBlack Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink\nBlack Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Pink Yellow Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Yellow Orange Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Green Blue Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBrown Green Black Black Black Black Black Pink Pink Pink Pink Black Black Green Black Black Black\nGray Gray Gray Black Black Black Black Green Pink Pink Green Black Black Black Black Black Black\nGray Pink Gray Green Brown Black Black Green Brown Brown Green Black Black Black Black Black Black\nBlack Gray Gray Brown Brown Black Black Green Brown Brown Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Yellow Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Yellow 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 Green Black\nBrown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black Black Green Black\nBrown Green Gray Pink Gray Black Black Black Orange Black Black Orange Blue Blue Blue Green Pink\nBlack Black Gray Gray Gray Black Black Black Green Brown Brown Green Black Black Black Black Brown\nBlack Black Black Green Brown Black Black Black Green Brown Brown Green Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Green Pink Pink Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Black Black Orange Yellow Black Black Blue Black Black Black Black Brown Purple\nPurple Yellow Gray Black Black Black Black Black Black Black Black Black Black Brown Purple\nGreen Yellow Purple Black Black Black Black Black Black Black Black Black Brown Brown Purple\nOrange Red Blue Blue Black Black Black Black Black Black Black Black Brown Brown Purple\nBlue Black Black Blue Black Black Black Black Black Black Black Black Black Brown Purple\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Brown Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Yellow Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Green Black Black Black Black Black Black Black Purple Brown Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Purple Brown Black\nBlack Blue Blue Red Orange Black Black Black Black Black Black Black Purple Brown Brown\nBlack Black Purple Yellow Green Black Black Black Black Black Black Black Purple Brown Brown\nBlack Black Gray Yellow Purple Black Black Black Black Black Black Black Purple Brown Black\n\n\nExample 3\nInput:\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black Gray Black Black Black\nBlack Black Black Purple Black Black Purple Black Black Black Blue Black Gray Gray Red Red\nBlack Black Black Blue Black Black Blue Black Black Purple Blue Black Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Black Gray Blue Black Black Gray Gray Red Red\nBlack Black Black Black Black Black Black Black Brown Black Black Black Gray Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Brown Orange Orange Brown Pink Black Black Black Purple Purple Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Green Blue Black Black Black\nBlack Black Black Black Black Black Black Black Orange Green Green Green Blue Black Black Black\nBlack Black Black Black Black Black Black Gray Orange Gray Gray Gray Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow 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 Blue Blue Blue Blue Black Black Black Black Black Red Red Gray\nBlack Black Black Black Blue Black Black Blue Black Black Brown Black Black Black Blue Blue\nBlack Black Black Black Purple Black Black Purple Black Blue Gray Black Black Red Red Gray\nBlack Black Black Black Purple Purple Purple Purple Blue Purple Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Blue Black Black Black Black Black Black Black\nBlack Black Pink Brown Orange Orange Brown Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Gray Gray Gray Orange Gray Black Black\nBlack Black Black Black Black Black Black Black Blue Green Green Green Orange Black Black Black\nBlack Black Black Black Black Black Black Black Blue Green Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Orange Blue Yellow Black Black Black Black Black\nOrange Orange Gray Black Black Gray Gray Blue Blue Black Black Black Black Black\nOrange Orange Orange Black Black Yellow Black Blue Black Black Black Black Black Black\nBlack Black Orange Black Black Gray Gray Blue Blue Black Black Black Black Black\nOrange Orange Orange Black Black Yellow Orange Blue Yellow Black Black Black Black Black\nOrange Orange Gray Black Black Black Black Black Black Black Red Brown Black Black\nBlack Black Black Black Pink Yellow Black Black Black Black Black Brown Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Brown Black Black\nPink Pink Pink Yellow Yellow Yellow Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Red Black Black\nBlack Black Black Black Black Black Orange Orange Black Blue Blue Blue Black Black\nBlack Black Black Black Black Gray Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink 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 Yellow Blue Orange Yellow Black Black Black Black\nGray Orange Orange Black Black Black Blue Blue Gray Gray Black Black Black Black\nOrange Orange Orange Black Black Black Black Blue Black Yellow Black Black Black Black\nOrange Black Black Black Black Black Blue Blue Gray Gray Black Black Black Black\nOrange Orange Orange Black Black Black Yellow Blue Orange Yellow Black Black Black Black\nGray Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Pink Pink Pink Black Black Blue Blue Blue Black Black\nBlack Black Pink Black Black Black Black Black Black Red Black Black Black Black\nBlack Yellow Pink Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Pink Gray Black Brown Red Black Black Black\nBlack Black Black Black Black Orange Orange 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 Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple 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 Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black 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 Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink\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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBrown Purple Brown Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nBrown Brown Brown Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown 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\nRed Green Green Red Black Black Black Black Black Black\nRed Gray Gray Red Black Black Black Black Black Black\nYellow Gray Gray Yellow Black Black Black Black Black Black\nPurple Blue Blue 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 Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Red Red Red\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack 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 Pink Pink Pink Black\nBlack Black Black Black Black Pink Black Brown Pink Black\nBlack Black Black Black Black Yellow Green Red Red Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Pink Pink Pink\nYellow Yellow Yellow Green Green Green Red Red Red Red Red Red\nYellow Yellow Yellow Green Green Green Red Red Red Red Red Red\nYellow Yellow Yellow Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black 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 Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Blue Blue Blue Blue Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Brown Black Black Blue Blue Blue Blue Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Brown Brown Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Purple Purple Purple Purple Black\nBlack Black Black Black Red Red Black Black Gray Gray Purple Purple Purple Purple Black\nBlack Black Black Black Red Red Black Black Gray Gray Purple Purple Purple Purple Black\nBlack Black Pink Pink Pink Black Black Black Gray Gray Purple Purple Purple Purple Black\nBlack Black Pink Pink Pink 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 Gray Gray Gray Black Pink Pink Black Black Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Black Pink Pink Black Black Black Black Black Black Black\nBlack Black 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 Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Brown Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Purple Purple Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Purple Purple Black Purple Purple Black Black Black Black Black\nBlack Black Brown Brown Brown Black Purple Purple Black Purple Purple Pink Pink Pink Pink Black\nBlack Black Brown Brown Brown Black Purple Purple Black Purple Purple Pink Pink Pink Pink Black\nBlack Purple Purple Purple Black Brown Brown Brown Black Black Black Black Black Red Red Black\nBlack Purple Purple Purple Black Brown Brown Brown Pink Pink Pink Pink Black Red Red Black\nBlack Purple Purple Purple Black Brown Brown Brown Pink Pink Pink Pink Black Red Red Black\nBlack Purple Purple Purple Red Red Red Red Pink Pink Pink Pink Black Red Red Black\nBlack Black Black Black Red Red Red Red Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black 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 Blue\nBlue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Green Green Black\nBlack Black Pink Pink Pink Black Orange Orange Orange Black Black Green Green Black\nBlack Black Pink Pink Pink Black Orange Orange Orange Black Black Green Green Black\nBlack Black Black Black Black Black Orange Orange Orange Pink Pink Pink Black Black\nBlack Black Black Black Black Black Orange Orange Orange Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Green Green Green Black Black\nBlack Green Green Black Pink Pink Pink Pink Black Green Green Green Black Black\nBlack Green Green Black Pink Pink Pink Pink Black Green Green Green Black Black\nBlack Green Green Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Brown Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Green Green Black Brown Brown Brown Black Black\nBlack Black Black Pink Black Black Black Black Black Green Green Brown Brown Brown Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Green Black Black Brown Black Black Black\nBlack 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 Pink Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Brown\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 Pink 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\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange 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 Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Gray Gray Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black 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 Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack 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 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 Red\nBlack Black 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 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 Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Purple Green Black Black Black\nBlack Black Black Black Black Black Black Blue Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nGray Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Green Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Green Black Black Brown Brown Brown Black Black Black Blue Blue Black\nBlack Black Green Black Black Black Black Brown Orange Orange Orange Black Black Black\nBlack Green Green 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Black Black Blue Black Black\nBlack Brown Brown Brown Black Black Orange Pink\nBlack Black Brown Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray\nBlack Purple Black Black Black Green Black Black\nYellow Black Orange Purple Red Green Black Black\nBlack Black Black Blue Black Red Black Black\n\nOutput:\nBlack Black Green Black Black Blue Black Black\nBlack Green Green Green Black Black Orange Pink\nBlack Black Green Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray\nBlack Purple Black Black Black Green Black Black\nYellow Black Orange Purple Red Green Black Black\nBlack Black Black Blue Black Red Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Brown Black Black\nPink Black Black Black Black Black Black\nGreen Black Black Black Black Black Black\nGreen Green Black Black Black Black Black\nBlack Orange Black Black Black Black Brown\nGray Red Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Black Black\nPink Black Black Black Black Black Black\nGreen Black Black Black Black Black Black\nGreen Green Black Black Black Black Black\nBlack Orange Black Black Black Black Brown\nGray Red Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Black Gray Gray Gray Black Green Black Black\nPink Black Black Gray Black Black Black Black Black\nBlack Black Purple Black Black Black Orange Black Black\nBlack Black Black Black Pink Black Red Black Black\nBlack Black Black Black Black Yellow Black Brown Black\nBlack Orange Blue Black Black Black Red Blue Yellow\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Gray Gray Gray Black Green Black Black\nPink Black Black Gray Black Black Black Black Black\nBlack Black Purple Black Black Black Orange Black Black\nBlack Black Black Black Pink Black Red Black Black\nBlack Black Black Black Black Yellow Black Brown Black\nBlack Orange Blue Black Black Black Red Blue Yellow\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 Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Gray Black Pink Gray\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Blue Green Black Brown Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Gray Black Pink Gray\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Blue Green Black Brown Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Brown Brown Brown Black Black Black Black Black Blue Blue\nBlack Black Black Brown Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Gray Pink Pink Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Brown Gray Black Black Pink Black Black Black Black\nBlack Black Black Black Yellow Orange Black Orange Black Black Brown Black Black Black Black Black Pink Black Black\nBlack Black Black Black Yellow Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow 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\nPurple Black Black Black Black Black Black Black Black Black Black\nPurple Black Purple Black Black Black Black Black Black Black Black\nPurple Black Purple Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue 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 Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Red Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Orange Orange Blue Black Blue Black Black Black\nBlack Black Black Black Orange Orange Blue Black Black Black Green Green\nBlack Black Black Black Orange Orange Orange Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Gray Gray Gray Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow\nYellow Yellow Gray Gray Gray Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Green 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 Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Yellow Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Blue Blue Blue Blue Blue Blue Purple Purple Blue Blue\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Blue Blue Blue Blue Blue Blue Purple Purple Blue Blue\nBlack Black Brown Brown Black Black Brown Brown Black Black Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue\nBlack Black Brown Brown Black Black Brown Brown Black Black Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black 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\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 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 Gray Gray Gray Gray Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Pink Pink Blue Blue Blue Blue Gray Gray Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Pink Pink Blue Blue Blue Blue Gray Gray Blue Blue Black Black Black Black Black Black\nBlue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Black Black Blue Blue Blue Blue Red Red Blue Blue Blue Blue Black Black Black Black\nGray Gray Gray Gray Black Black Blue Blue Blue Blue Red Red Blue Blue Blue Blue Black Black Black Black\nGray Gray Gray Gray Gray Gray Blue Blue Red Red Red Red Red Red Blue Blue Black Black Black Black\nGray Gray Gray Gray Gray Gray Blue Blue Red Red Red Red Red Red Blue Blue Black Black Black Black\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Red Red Blue Blue Blue Blue Black Black Black Black\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Red Red Blue Blue Blue Blue Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Blue Blue Green Green Green Green Blue Blue Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Blue Blue Green Green Green Green Blue Blue Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Blue Blue Green Green Blue Blue Blue Blue Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Blue Blue Green Green Blue Blue Blue Blue Black Black Black Black\nBlack Black Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Yellow Yellow Yellow Black Purple Purple Purple Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown 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 Red Red Red Red Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Red Black Black Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Green Green Green Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Red Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink 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 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\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Blue Black Brown Purple Brown Blue Blue Purple Purple Black\nBlack Black Purple Blue Blue Black Black Black Black Black Brown Yellow Blue\nPurple Black Black Black Black Yellow Yellow Purple Blue Yellow Blue Black Black\nBlack Purple Yellow Black Brown Black Yellow Black Black Black Blue Yellow Purple\nBlack Blue Black Black Yellow Black Black Brown Black Black Black Blue Black\nBlack Black Purple Purple Black Yellow Yellow Brown Purple Black Black Black Black\nBlack Blue Black Brown Black Blue Purple Yellow Black Brown Brown Black Blue\nPurple Black Purple Black Black Black Black Black Purple Black Blue Black Blue\nBlack Black Black Yellow Black Yellow Black Purple Black Yellow Black Black Black\nBlack Brown Brown Blue Purple Blue Yellow Blue Black Black Black Black Yellow\nBlack Brown Brown Yellow Purple Black Blue Purple Black Purple Blue Black Purple\nBlack Yellow Yellow Black Black Brown Black Blue Brown Blue Purple Blue Black\nBlack Purple Blue Brown Black Purple Brown Black Black Purple Brown Blue Black\nYellow Yellow Black Black Yellow Brown Blue Black Purple Black Brown Black Black\nBlack Black Black Black Purple Yellow Brown Blue Black Brown Blue Black Black\nBlue Black Black Black Black Black Blue Black Brown Black Blue Blue Yellow\nBlack Black Black Yellow Black Black Brown Yellow Purple Blue Yellow Black Black\n\nOutput:\nBlack Black Brown Blue Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Brown Purple Brown Blue Blue Black Black Blue\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Purple Black Black Black Black Black Black Black Black Black Blue Black\nBlack 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\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nYellow 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\nBlack Black Black Black Black Blue Black Yellow Black Blue Black Black Yellow\nBlack Black Black Black Black Black Brown Black Purple Black Yellow Black Black\n\n\nExample 2\nInput:\nOrange Black Purple Black Orange Pink Black Purple Black Green Purple Pink\nPurple Pink Green Pink Pink Black Black Black Pink Purple Green Pink\nBlack Black Pink Pink Black Black Orange Black Purple Pink Purple Black\nBlack Orange Pink Black Black Black Purple Purple Black Black Black Purple\nPink Purple Black Black Black Pink Orange Pink Orange Orange Black Pink\nBlack Purple Green Pink Pink Pink Purple Black Green Black Purple Black\nPurple Black Black Purple Orange Orange Black Black Black Pink Pink Black\nGreen Green Pink Purple Purple Black Black Orange Black Orange Black Green\nBlack Black Black Black Pink Black Pink Green Orange Black Purple Pink\nPurple Black Green Orange Black Purple Green Pink Purple Black Black Pink\nPink Purple Purple Pink Black Black Pink Purple Purple Purple Green Black\nGreen Black Purple Black Black Purple Black Black Green Purple Pink Purple\nBlack Green Black Purple Purple Pink Black Pink Black Black Black Pink\nOrange Black Black Black Green Orange Pink Orange Green Green Purple Black\nBlack Purple Pink Pink Pink Green Black Black Purple Black Black Black\n\nOutput:\nBlack Orange Purple Black Orange Black Black Black Black Green Purple Pink\nPurple Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Pink Black Black Purple Black Black Black\nPink Black Black Black Black Black Black Black Black Black Pink 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\nGreen Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink\nBlack Purple Black Black Black Black Black Black Black Pink Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Purple\nBlack Black Pink Black Black Black Black Black Pink Black Black Black\nBlack Purple Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Green Black Black Purple Black Black Black\n\n\nExample 3\nInput:\nGray Black Gray Black Pink Black Pink Black Black Pink Pink Black\nBlack Black Black Black Gray Black Black Pink Black Black Pink Black\nPink Black Pink Pink Black Pink Pink Pink Gray Black Pink Black\nPink Black Black Pink Pink Pink Pink Gray Black Pink Pink Black\nGray Black Gray Black Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Gray\nPink Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Pink Pink Pink Pink Gray Black Pink Pink Gray Black\nBlack Pink Black Pink Black Pink Black Black Black Pink Black Pink\nBlack Black Black Black Pink Pink Black Gray Black Black Black Gray\nPink Black Pink Black Pink Gray Gray Black Black Black Black Black\nPink Black Black Black Black Pink Gray Black Black Black Black Black\nPink Black Gray Pink Black Black Black Gray Black Gray Black Pink\nBlack Gray Pink Black Black Black Black Gray Black Black Gray Black\nBlack Black Black Black Black Black Pink Black Black Gray Black Black\nBlack Black Pink Gray Gray Gray Black Black Black Black Pink Pink\n\nOutput:\nBlack Gray Black Black Pink Black Black Black Black Black Pink Black\nBlack Black Gray Black Black Black Pink Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Pink Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Pink Black Black Black Gray Black Black Black Black Pink Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Black Black Red Brown Gray Black Black Black Gray Black\nRed Black Black Black Gray Brown Gray Black Black Red Black Black Gray Black\nRed Black Black Black Black Black Gray Brown Black Black Brown Black Red Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Brown\nBrown Black Black Brown Black Gray Gray Black Red Red Black Red Gray Black\nBrown Red Red Black Black Red Black Black Black Gray Gray Black Black Black\nBlack Black Black Brown Red Gray Red Black Brown Gray Brown Gray Black Red\nBlack Red Black Black Black Red Red Black Black Black Gray Black Black Black\nBlack Gray Gray Black Black Red Black Black Black Gray Black Gray Black Gray\nBlack Brown Black Gray Black Red Black Black Black Gray Gray Black Gray Black\nBlack Black Gray Black Black Black Black Gray Red Black Black Gray Black Black\nBlack Black Black Black Gray Black Black Brown Black Gray Black Black Brown Gray\nBrown Black Black Black Black Black Gray Black Gray Black Brown Gray Black Black\nBlack Black Gray Black Gray Black Black Black Brown Black Black 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 Black Black Black Black Red Black Black Black Black Black Gray Black\nBlack Black Black Red Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Brown Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Gray Brown Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Yellow Black Yellow Black Black Black Yellow Yellow Black Black 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 Yellow Yellow Yellow Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Yellow Brown Yellow Brown Brown Brown Yellow Yellow Yellow Brown\nBrown Yellow Brown Yellow Brown Brown Brown Yellow Yellow Brown Brown Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Brown Brown Yellow Brown Yellow Brown Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Yellow Brown Brown Brown Yellow Brown Brown Brown Yellow Brown Yellow Brown\nBrown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown Yellow Brown Brown Brown Yellow Brown\nBrown Brown Brown Brown Brown Brown Yellow Brown Brown Yellow Brown Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Brown Brown Brown\nBrown Brown Brown Yellow Brown Brown Brown Yellow Brown Brown Brown Brown Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Purple 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 Black Black Black\nBlack Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Purple Purple Green Green Green Purple Purple Purple Green Green\nGreen Green Green Green Green Green Purple Green Purple Green Green Green Green Green Green\nGreen Purple Green Green Green Green Green Green Green Purple Purple Green Green Green Green\nGreen Purple Green Green Green Green Green Green Green Green Green Purple Green Green Green\nGreen Green Purple Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Purple Green Green Green Green Green Purple Green Green Green Green Green Purple Green\nGreen Green Green Purple Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Purple Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Purple Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Orange Black Black Black Black Black Black Black Orange Orange Black Black Orange Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Orange Black Black Black Black Black Orange Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Orange Black Black Orange Orange Black Orange Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Orange Black Black Black Black\nBlack Black Orange Black Black Black Orange Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Orange Black Black Orange Black Orange Black Black Black Black\nBlack Orange Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Orange Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Orange Orange Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Gray Gray Gray Gray Gray Gray Gray Orange Orange Gray Gray Orange Gray Gray\nGray Gray Gray Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Gray Gray Orange Gray Gray Gray Gray Gray Orange Gray Gray Gray Orange Gray\nGray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Orange Orange Gray Orange Gray\nGray Gray Gray Gray Gray Gray Gray Orange Orange Gray Gray Orange Gray Gray Gray Gray\nGray Gray Orange Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Orange Gray\nGray Gray Gray Gray Gray Gray Orange Gray Gray Orange Gray Orange Gray Gray Gray Gray\nGray Orange Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Orange Gray\nGray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Orange Orange Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Green Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Green Black Black Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Green Black Black Green Black Black Black Green Green Black\nBlack Black Black Green Green Black Black Black Green Black Black Black Black Black\nBlack Green Black Black Green Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Green Green Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Green Black\nBlack Green Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Black Black Black Black Black\nBlack Black Green Green Black Black Green Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Green Red Red Red Green Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Red Red Red\nRed Red Green Red Red Red Red Red Red Green Red Red Green Red\nRed Red Red Red Green Red Red Green Red Red Red Green Green Red\nRed Red Red Green Green Red Red Red Green Red Red Red Red Red\nRed Green Red Red Green Red Red Green Green Red Red Red Red Red\nRed Red Red Red Red Red Green Red Green Green Green Red Red Red\nRed Red Green Green Red Red Green Green Red Red Red Red Green Red\nRed Green Red Red Red Green Red Red Red Red Red Red Red Red\nRed Red Red Green Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Green Red Green Red Red Red Red Red\nRed Red Green Green Red Red Green Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Gray Purple Brown Pink Black Black Black Black Black Orange Gray Orange Brown Orange Black Black Black Black Black\nBlack Black Black Black Gray Purple Brown Black Black Black Black Black Black Orange Gray Orange Brown Black Green Black Black Black Black\nOrange Black Black Black Gray Purple Black Black Purple Black Black Black Black Orange Gray Orange Black Green Green Green Purple Black Black\nBlack Black Black Black Gray Black Pink Black Black Black Black Yellow Black Orange Gray Black Purple Green Green Green Green Black Black\nBlack Black Black Brown Pink Pink Pink Pink Yellow Black Black Black Black Orange Black Black Black Green Green Green Black Black Black\nBlack Black Black Pink Pink Pink Gray Blue Pink Pink Black Black Black Black Black Brown Black Black Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Purple Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Purple Pink Black Brown Brown Blue Brown Brown Brown Brown Black Black Black Green\nBlack Black Blue Pink Pink Pink Pink Pink Pink Pink Black Black Brown Brown Brown Orange Brown Brown Brown Black Black Black Black\nBlack Black Black Pink Pink Orange Pink Pink Pink Pink Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Yellow Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Gray Purple Brown Pink Black Black Black Black Black Orange Gray Orange Brown Orange Black Black Black Black Black\nBlack Black Black Black Gray Purple Brown Black Black Black Black Black Black Orange Gray Orange Brown Black Green Black Black Black Black\nBlack Black Black Black Gray Purple Black Black Black Black Black Black Black Orange Gray Orange Black Green Green Green Purple Black Black\nBlack Black Black Black Gray Black Pink Black Black Black Black Black Black Orange Gray Black Purple Green Green Green Green Black Black\nBlack Black Black Brown Pink Pink Pink Pink Yellow Black Black Black Black Orange Black Black Black Green Green Green Black Black Black\nBlack Black Black Pink Pink Pink Gray Blue Pink Pink Black Black Black Black Black Brown Black Black Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Purple Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Purple Pink Black Brown Brown Blue Brown Brown Brown Brown Black Black Black Black\nBlack Black Blue Pink Pink Pink Pink Pink Pink Pink Black Black Brown Brown Brown Orange Brown Brown Brown Black Black Black Black\nBlack Black Black Pink Pink Orange Pink Pink Pink Pink Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Black Orange Black Black Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Purple Pink Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Brown Black Black\nOrange Orange Orange Orange Orange Orange Black Black Brown Brown Brown Black\nOrange Orange Orange Orange Orange Brown Purple Blue Brown Brown Brown Brown\nOrange Orange Orange Green Orange Brown Purple Black Brown Brown Blue Black\nBlack Black Black Blue Black Brown Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Pink Black Black Black\nBlack Blue Gray Blue Pink Blue Black Black Red Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Red Red Yellow Black Black\nBlack Yellow Blue Blue Blue Blue Black Red Red Red Red Black\nBlack Blue Blue Blue Blue Blue Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Pink Black Black Black Black\nGray Black Black Black Black Yellow Black Black Black Black Black Black\n\nOutput:\nGreen Black Orange Black Black Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Purple Pink Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Brown Black Black\nOrange Orange Orange Orange Orange Orange Black Black Brown Brown Brown Black\nOrange Orange Orange Orange Orange Brown Purple Blue Brown Brown Brown Brown\nOrange Orange Orange Green Orange Brown Purple Black Brown Brown Blue Black\nBlack Black Black Blue Black Brown Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Pink Black Black Black\nBlack Blue Gray Blue Pink Blue Black Black Red Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Red Red Yellow Black Black\nBlack Yellow Blue Blue Blue Blue Black Red Red Red Red Black\nBlack Blue Blue Blue Blue Blue Black 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\n\n\nExample 3\nInput:\nPurple Black Black Black Black Red Black Black Black Black Black Brown\nBlack Black Black Red Brown Red Red Red Black Black Black Black\nBlack Blue Red Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Pink Black\nBlack Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Gray Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nYellow Purple Blue Pink Gray Black Black Black Pink Black Black Black\nYellow Purple Blue Pink Black Black Black Blue Black Black Black Black\nYellow Purple Blue Black Purple Orange Blue Green Black Black Black Black\nYellow Purple Black Black Purple Orange Blue Black Black Black Black Black\nYellow Black Orange Black Brown Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Pink Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Brown Red Red Red Black Black Black Black\nBlack Blue Red Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Gray Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nYellow Purple Blue Pink Gray Black Black Black Black Black Black Black\nYellow Purple Blue Pink Black Black Black Blue Black Black Black Black\nYellow Purple Blue Black Purple Orange Blue Green Black Black Black Black\nYellow Purple Black Black Purple Orange Blue Black Black Black Black Black\nYellow Black Black Black Brown Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Gray Pink Black Pink Black Black Black Black Black Pink\nBlack Green Black Pink Gray Black Gray Black Black Black Black Black Black Red\nBlack Black Black Pink Black Black Black Black Black Black Blue Brown Gray Black\nBlack Black Black Black Black Black Orange Black Black Black Blue Brown Black Black\nBlack Black Black Black Black Orange Orange Orange Purple Black Blue Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow\nBlack Black Black Black Black Orange Brown Orange Black Pink Green Gray Orange Black\nBlack Black Black Black Black Black Black Black Black Pink Green Black Black Black\nBlack Black Black Black Brown Black Black Black Gray Pink Black Black Black Black\nBlack 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\nBlack Black Black Black 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 Pink Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Blue Brown Gray Black\nBlack Black Black Black Black Black Orange Black Black Black Blue Brown Black Black\nBlack Black Black Black Black Orange Orange Orange Purple Black Blue Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Brown Orange Black Pink Green Gray Orange Black\nBlack Black Black Black Black Black Black Black Black Pink Green Black Black Black\nBlack Black Black Black Black Black Black Black Gray Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Black Black Purple Black Black\nBlack Black Black Black Black Black Black Purple Black Black Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Brown Brown Brown Brown Brown Black Black Black\nBlack Pink Black Pink Black Brown Black Black Black Brown Black Black Black\nBlack Pink Black Pink Black Brown Black Black Black Brown Black Black Black\nBlack Pink Black Pink Black Brown Black Black Black Brown Black Black Black\nBlack Pink Pink Pink Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Brown Black Black Black Brown Black\nPink Pink Pink Pink Black Black Black Brown Black Black Black Brown Black\nPink Black Black Pink Black Black Black Brown Black Black Black Brown Black\nPink Black Black Pink Black Black Black Brown Brown Brown Brown Brown Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Black Black Purple Black Black\nBlack Black Black Black Black Black Black Purple Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Brown Brown Brown Brown Brown Black Black Black\nBlack Pink Black Pink Black Brown Black Black Black Brown Black Black Black\nBlack Pink Black Pink Black Brown Black Black Black Brown Black Black Black\nBlack Pink Black Pink Black Brown Black Black Black Brown Black Black Black\nBlack Pink Pink Pink Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Brown Black Black Black Brown Black\nPink Pink Pink Pink Black Black Black Brown Black Black Black Brown Black\nPink Black Black Pink Black Black Black Brown Black Black Black Brown Black\nPink Black Black Pink Black Black Black Brown Brown Brown Brown Brown Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray\nBlack Blue Black Black Black Blue Black Black Black Gray Black Gray\nBlack Blue Black Black Black Blue Black Black Black Gray Gray Gray\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black\nOrange Orange Orange Black Black Black Red Black Black Black Red Black\nOrange Black Orange Black Black Black Red Red Red Red Red Black\nOrange Black Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray\nBlack Blue Black Black Black Blue Black Black Black Gray Black Gray\nBlack Blue Black Black Black Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black\nOrange Orange Orange Black Black Black Red Black Black Black Red Black\nOrange Black Orange Black Black Black Red Red Red Red Red Black\nOrange Black Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue 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 Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Brown Black Black\nBlack Black Black Gray Gray Gray Black Brown Black Black Black Brown Black Black\nBlack Black Black Gray Black Gray Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Gray Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Brown Brown Brown Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Brown Black Brown Black Black Black Black Gray Black Black Gray Black Black\nBlack Brown Black Brown Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Brown Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Brown Black Black\nBlack Black Black Gray Gray Gray Black Brown Black Black Black Brown Black Black\nBlack Black Black Gray Black Gray Black Black Black Black Brown Brown Black Black\nBlack Black Black Gray Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Brown Brown Brown Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Brown Black Brown Black Black Black Black Gray Black Black Gray Black Black\nBlack Brown Black Brown Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Brown Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\nGreen Green Green Black Black Black Black Black Yellow Black Yellow\nGreen Black Green Black Black Black Black Black Yellow Black Yellow\nGreen Black Green Black Black Black Black Black Yellow Yellow Yellow\nGreen Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Blue Blue 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```\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 Yellow Yellow Yellow\nGreen Green Green Black Black Black Black Black Yellow Black Yellow\nGreen Black Green Black Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Yellow Black\nGreen Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue 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:\nRed Red Red Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Brown Brown Brown Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Purple Purple Purple\nBlue Blue Blue Black Black Black Brown Brown Brown Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Purple Purple Purple\nBlue Blue Blue Black Black Black Brown Brown Brown Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black\nYellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green\nYellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green\nYellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green\nPurple Purple Purple Green Green Green Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Gray Gray Gray\nPurple Purple Purple Green Green Green Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Gray Gray Gray\nPurple Purple Purple Green Green Green Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Gray Gray Gray\nOrange Orange Orange Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Brown Brown Brown Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Brown Brown Brown Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Brown Brown Brown Pink Pink Pink\n\nOutput:\nPink Pink Pink Brown Brown Brown Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black Blue Blue Blue Orange Orange Orange\nPink Pink Pink Brown Brown Brown Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black Blue Blue Blue Orange Orange Orange\nPink Pink Pink Brown Brown Brown Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black Blue Blue Blue Orange Orange Orange\nGray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Orange Green Green Green Purple Purple Purple\nGray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Orange Green Green Green Purple Purple Purple\nGray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Orange Green Green Green Purple Purple Purple\nGreen Green Green Purple Purple Purple Black Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nGreen Green Green Purple Purple Purple Black Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nGreen Green Green Purple Purple Purple Black Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black\nYellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Green Green Green\nYellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Green Green Green\nYellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Green Green Green\nPurple Purple Purple Green Green Green Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Gray Gray Gray\nPurple Purple Purple Green Green Green Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Gray Gray Gray\nPurple Purple Purple Green Green Green Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Gray Gray Gray\nOrange Orange Orange Blue Blue Blue Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Brown Brown Brown Pink Pink Pink\nOrange Orange Orange Blue Blue Blue Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Brown Brown Brown Pink Pink Pink\nOrange Orange Orange Blue Blue Blue Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Brown Brown Brown Pink Pink Pink\n\n\nExample 2\nInput:\nPurple Purple Purple Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Brown Brown Brown Black Black Black\nPurple Purple Purple Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Brown Brown Brown Black Black Black\nPurple Purple Purple Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Brown Brown Brown Black Black Black\nOrange Orange Orange Black Black Black Gray Gray Gray Red Red Red Black Black Black Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Black Black Black Gray Gray Gray Red Red Red Black Black Black Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Black Black Black Gray Gray Gray Red Red Red Black Black Black Purple Purple Purple Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple\nBlue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Pink Pink Pink Purple Purple Purple Brown Brown Brown\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Pink Pink Pink Purple Purple Purple Brown Brown Brown\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Pink Pink Pink Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Red Red Red Black Black Black Red Red Red Black Black Black\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Red Red Red Black Black Black Red Red Red Black Black Black\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Red Red Red Black Black Black Red Red Red Black Black Black\n\nOutput:\nPurple Purple Purple Red Red Red Pink Pink Pink Red Red Red Brown Brown Brown Blue Blue Blue Brown Brown Brown\nPurple Purple Purple Red Red Red Pink Pink Pink Red Red Red Brown Brown Brown Blue Blue Blue Brown Brown Brown\nPurple Purple Purple Red Red Red Pink Pink Pink Red Red Red Brown Brown Brown Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Pink Pink Pink Orange Orange Orange Black Black Black Green Green Green Orange Orange Orange\nBrown Brown Brown Purple Purple Purple Pink Pink Pink Orange Orange Orange Black Black Black Green Green Green Orange Orange Orange\nBrown Brown Brown Purple Purple Purple Pink Pink Pink Orange Orange Orange Black Black Black Green Green Green Orange Orange Orange\nBlack Black Black Orange Orange Orange Blue Blue Blue Purple Purple Purple Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlack Black Black Orange Orange Orange Blue Blue Blue Purple Purple Purple Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlack Black Black Orange Orange Orange Blue Blue Blue Purple Purple Purple Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple Pink Pink Pink Purple Purple Purple\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Purple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Purple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Purple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black\nOrange Orange Orange Green Green Green Black Black Black Orange Orange Orange Pink Pink Pink Purple Purple Purple Brown Brown Brown\nOrange Orange Orange Green Green Green Black Black Black Orange Orange Orange Pink Pink Pink Purple Purple Purple Brown Brown Brown\nOrange Orange Orange Green Green Green Black Black Black Orange Orange Orange Pink Pink Pink Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Red Red Red Pink Pink Pink Red Red Red Purple Purple Purple\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Red Red Red Pink Pink Pink Red Red Red Purple Purple Purple\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Red Red Red Pink Pink Pink Red Red Red Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Brown Brown Brown Black Black Black Yellow Yellow Yellow Pink Pink Pink Red Red Red Purple Purple Purple Blue Blue Blue\nGreen Green Green Yellow Yellow Yellow Brown Brown Brown Black Black Black Yellow Yellow Yellow Pink Pink Pink Red Red Red Purple Purple Purple Blue Blue Blue\nGreen Green Green Yellow Yellow Yellow Brown Brown Brown Black Black Black Yellow Yellow Yellow Pink Pink Pink Red Red Red Purple Purple Purple Blue Blue Blue\nBlack Black Black Green Green Green Black Black Black Pink Pink Pink Brown Brown Brown Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Green Green Green Black Black Black Pink Pink Pink Brown Brown Brown Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Green Green Green Black Black Black Pink Pink Pink Brown Brown Brown Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nBlue Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Brown Brown Brown Orange Orange Orange Black Black Black Purple Purple Purple Blue Blue Blue Green Green Green Blue Blue Blue Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Orange Orange Orange Black Black Black Purple Purple Purple Blue Blue Blue Green Green Green Blue Blue Blue Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Orange Orange Orange Black Black Black Purple Purple Purple Blue Blue Blue Green Green Green Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Pink Pink Pink Gray Gray Gray Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Pink Pink Pink Gray Gray Gray Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Pink Pink Pink Gray Gray Gray Brown Brown Brown Purple Purple Purple\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Black Black Black Red Red Red Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Black Black Black Red Red Red Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Black Black Black Red Red Red Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Red Red Red Gray Gray Gray Blue Blue Blue Pink Pink Pink Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Red Red Red Gray Gray Gray Blue Blue Blue Pink Pink Pink Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Red Red Red Gray Gray Gray Blue Blue Blue Pink Pink Pink Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Green Green Green\nPurple Purple Purple Brown Brown Brown Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Green Green Green Blue Blue Blue Purple Purple Purple Gray Gray Gray Orange Orange Orange Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Green Green Green Blue Blue Blue Purple Purple Purple Gray Gray Gray Orange Orange Orange Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Green Green Green Blue Blue Blue Purple Purple Purple Gray Gray Gray Orange Orange Orange Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Brown Brown Brown Orange Orange Orange Gray Gray Gray Purple Purple Purple Blue Blue Blue Green Green Green Blue Blue Blue Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Orange Orange Orange Gray Gray Gray Purple Purple Purple Blue Blue Blue Green Green Green Blue Blue Blue Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Orange Orange Orange Gray Gray Gray Purple Purple Purple Blue Blue Blue Green Green Green Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Red Red Red Gray Gray Gray Orange Orange Orange Pink Pink Pink Gray Gray Gray Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Red Red Red Gray Gray Gray Orange Orange Orange Pink Pink Pink Gray Gray Gray Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Red Red Red Gray Gray Gray Orange Orange Orange Pink Pink Pink Gray Gray Gray Brown Brown Brown Purple Purple Purple\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Gray Gray Gray Red Red Red Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Gray Gray Gray Red Red Red Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Pink Pink Pink Blue Blue Blue Gray Gray Gray Red Red Red Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Brown Brown Brown Yellow Yellow Yellow Green Green Green Black Black Black Purple Purple Purple Pink Pink Pink Black Black Black Gray Gray Gray\nBlack Black Black Brown Brown Brown Yellow Yellow Yellow Green Green Green Black Black Black Purple Purple Purple Pink Pink Pink Black Black Black Gray Gray Gray\nBlack Black Black Brown Brown Brown Yellow Yellow Yellow Green Green Green Black Black Black Purple Purple Purple Pink Pink Pink Black Black Black Gray Gray Gray\nRed Red Red Green Green Green Pink Pink Pink Gray Gray Gray Brown Brown Brown Purple Purple Purple Gray Gray Gray Blue Blue Blue Purple Purple Purple\nRed Red Red Green Green Green Pink Pink Pink Gray Gray Gray Brown Brown Brown Purple Purple Purple Gray Gray Gray Blue Blue Blue Purple Purple Purple\nRed Red Red Green Green Green Pink Pink Pink Gray Gray Gray Brown Brown Brown Purple Purple Purple Gray Gray Gray Blue Blue Blue Purple Purple Purple\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Black Black Black Orange Orange Orange Yellow Yellow Yellow\nBrown Brown Brown Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Black Black Black Orange Orange Orange Yellow Yellow Yellow\nBrown Brown Brown Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Black Black Black Orange Orange Orange Yellow Yellow Yellow\nBrown Brown Brown Orange Orange Orange Gray Gray Gray Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Orange Orange Orange Blue Blue Blue\nBrown Brown Brown Orange Orange Orange Gray Gray Gray Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Orange Orange Orange Blue Blue Blue\nBrown Brown Brown Orange Orange Orange Gray Gray Gray Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown\nRed Red Red Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Green Green Green Red Red Red Green Green Green Orange Orange Orange\nRed Red Red Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Green Green Green Red Red Red Green Green Green Orange Orange Orange\nRed Red Red Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Green Green Green Red Red Red Green Green Green Orange Orange Orange\nPurple Purple Purple Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black\nPurple Purple Purple Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black\nPurple Purple Purple Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Gray Gray Gray\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Gray Gray Gray\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown 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 Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Black Black Black Gray Gray Gray Pink Pink Pink Black Black Black Orange Orange Orange\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Black Black Black Gray Gray Gray Pink Pink Pink Black Black Black Orange Orange Orange\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Black Black Black Gray Gray Gray Pink Pink Pink Black Black Black Orange Orange Orange\nRed Red Red Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Purple Purple Purple\nRed Red Red Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Purple Purple Purple\nRed Red Red Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Purple Purple Purple\nOrange Orange Orange Green Green Green Red Red Red Green Green Green Pink Pink Pink Black Black Black Purple Purple Purple Blue Blue Blue Red Red Red\nOrange Orange Orange Green Green Green Red Red Red Green Green Green Pink Pink Pink Black Black Black Purple Purple Purple Blue Blue Blue Red Red Red\nOrange Orange Orange Green Green Green Red Red Red Green Green Green Pink Pink Pink Black Black Black Purple Purple Purple Blue Blue Blue Red Red Red\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Black Black Black Purple Purple Purple Yellow Yellow Yellow\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Black Black Black Purple Purple Purple Yellow Yellow Yellow\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Black Black Black Purple Purple Purple Yellow Yellow Yellow\nBlue Blue Blue Orange Orange Orange Gray Gray Gray Purple Purple Purple Pink Pink Pink Purple Purple Purple Gray Gray Gray Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Orange Orange Orange Gray Gray Gray Purple Purple Purple Pink Pink Pink Purple Purple Purple Gray Gray Gray Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Orange Orange Orange Gray Gray Gray Purple Purple Purple Pink Pink Pink Purple Purple Purple Gray Gray Gray Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Purple Purple Purple Black Black Black Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Purple Purple Purple Black Black Black Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Purple Purple Purple Black Black Black Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown\nRed Red Red Blue Blue Blue Purple Purple Purple Black Black Black Pink Pink Pink Green Green Green Red Red Red Green Green Green Orange Orange Orange\nRed Red Red Blue Blue Blue Purple Purple Purple Black Black Black Pink Pink Pink Green Green Green Red Red Red Green Green Green Orange Orange Orange\nRed Red Red Blue Blue Blue Purple Purple Purple Black Black Black Pink Pink Pink Green Green Green Red Red Red Green Green Green Orange Orange Orange\nPurple Purple Purple Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Red Red Red\nPurple Purple Purple Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Red Red Red\nPurple Purple Purple Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Red Red Red\nOrange Orange Orange Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nOrange Orange Orange Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nOrange Orange Orange Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Gray Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Blue Gray Gray Gray Yellow Black Black Black Black Gray Black Gray Black\nGray Black Black Gray Gray Blue Gray Yellow Yellow Yellow Gray Black Black Gray Black Gray Gray\nBlack Black Gray Black Blue Black Blue Black Yellow Black Gray Black Black Black Gray Black Black\nBlack Gray Black Gray Black Gray Black Black Black Gray Black Black Black Black Gray Black Gray\nBlue Black Blue Black Black Black Black Gray Gray Black Gray Purple Gray Purple Gray Black Gray\nGray Blue Gray Gray Gray Brown Black Gray Black Black Gray Gray Purple Gray Gray Black Black\nBlue Black Blue Black Brown Brown Brown Black Gray Black Gray Purple Black Purple Gray Black Gray\nBlack Black Black Gray Black Brown Black Gray Black Black Black Black Gray Gray Black Black Black\nGray Black Black Black Gray Black Gray Black Gray Black Gray Black Black Black Black Gray Gray\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Gray Black Black Gray\nBlack Black Black Gray Black Gray Gray Gray Black Black Gray Black Gray Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Black Gray Black Black Black Black Gray Black Black\n\nOutput:\nBlack Green Black Black Black Black Black Green Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Blue Green Green Green Yellow Black Black Black Black Green Black Green Black\nGreen Black Black Green Green Blue Green Yellow Yellow Yellow Green Black Black Green Black Green Green\nBlack Black Green Black Blue Black Blue Black Yellow Black Green Black Black Black Green Black Black\nBlack Green Black Green Black Green Black Black Black Green Black Black Black Black Green Black Green\nBlue Black Blue Black Black Black Black Green Green Black Green Purple Green Purple Green Black Green\nGreen Blue Green Green Green Brown Black Green Black Black Green Green Purple Green Green Black Black\nBlue Black Blue Black Brown Brown Brown Black Green Black Green Purple Black Purple Green Black Green\nBlack Black Black Green Black Brown Black Green Black Black Black Black Green Green Black Black Black\nGreen Black Black Black Green Black Green Black Green Black Green Black Black Black Black Green Green\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Green Black Black Green\nBlack Black Black Green Black Green Green Green Black Black Green Black Green Green Black Black Black\nBlack Black Black Green Black Black Black Black Black Green Black Black Black Black Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black Gray\nBlack Gray Black Gray Gray Black Black Black Gray Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Gray Black Black Gray Black Black Black Gray\nGray Gray Black Gray Gray Black Gray Black Black Gray Gray Black Gray Black Black\nGray Gray Gray Black Gray Black Gray Gray Black Black Black Black Orange Black Orange\nBlack Black Black Black Black Gray Black Black Black Black Gray Black Gray Orange Black\nGray Gray Black Gray Black Black Black Black Gray Black Black Black Orange Black Orange\nBlack Gray Black Black Black Black Black Black Gray Black Black Black Black Orange Gray\nGray Orange Gray Black Black Gray Black Gray Gray Gray Orange Black Orange Black Orange\nOrange Orange Orange Black Black Gray Black Black Black Black Black Orange Gray Gray Black\nGray Orange Black Black Black Black Black Gray Black Gray Orange Gray Orange Gray Black\nBlack Gray Black Black Black Black Black Gray Gray Black Black Black Black Black Gray\n\nOutput:\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black Gray\nBlack Gray Black Gray Gray Black Black Black Gray Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Gray Black Black Gray Black Black Black Gray\nGray Gray Black Gray Gray Black Gray Black Black Gray Gray Black Gray Black Black\nGray Gray Gray Black Gray Black Gray Gray Black Black Black Black Green Black Green\nBlack Black Black Black Black Gray Black Black Black Black Gray Black Gray Green Black\nGray Gray Black Gray Black Black Black Black Gray Black Black Black Green Black Green\nBlack Gray Black Black Black Black Black Black Gray Black Black Black Black Green Gray\nGray Green Gray Black Black Gray Black Gray Gray Gray Green Black Green Black Green\nGreen Green Green Black Black Gray Black Black Black Black Black Green Gray Gray Black\nGray Green Black Black Black Black Black Gray Black Gray Green Gray Green Gray Black\nBlack Gray Black Black Black Black Black Gray Gray Black Black Black Black Black Gray\n\n\nExample 3\nInput:\nBlack Black Pink Green Black Black Green Green Black Black Green Black Black Black Black Black\nGreen Pink Pink Pink Black Black Black Black Green Black Yellow Black Yellow Green Green Green\nBlack Green Pink Black Black Black Black Green Green Green Black Yellow Green Black Black Green\nBlack Black Black Black Black Black Black Gray Green Black Yellow Black Yellow Green Black Black\nBlack Black Green Green Black Black Gray Gray Gray Black Black Black Green Black Green Black\nBlack Green Black Black Green Green Black Gray Green Black Black Green Black Green Black Green\nGreen Black Black Black Green Green Green Green Green Black Black Black Green Green Black Black\nGreen Black Black Black Black Green Green Black Black Black Black Black Black Black Green Green\nBlack Gray Black Green Black Black Black Green Green Black Green Black Green Green Green Green\nGray Gray Gray Green Black Green Black Black Green Black Black Green Black Black Green Black\nBlack Gray Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Black Green Green Green Black Green\n\nOutput:\nBlack Black Pink Green Black Black Green Green Black Black Green Black Black Black Black Black\nGreen Pink Pink Pink Black Black Black Black Green Black Yellow Black Yellow Green Green Green\nBlack Green Pink Black Black Black Black Green Green Green Black Yellow Green Black Black Green\nBlack Black Black Black Black Black Black Green Green Black Yellow Black Yellow Green Black Black\nBlack Black Green Green Black Black Green Green Green Black Black Black Green Black Green Black\nBlack Green Black Black Green Green Black Green Green Black Black Green Black Green Black Green\nGreen Black Black Black Green Green Green Green Green Black Black Black Green Green Black Black\nGreen Black Black Black Black Green Green Black Black Black Black Black Black Black Green Green\nBlack Green Black Green Black Black Black Green Green Black Green Black Green Green Green Green\nGreen Green Green Green Black Green Black Black Green Black Black Green Black Black Green Black\nBlack Green Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Black Green Green Green Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Brown Black Black Blue Black Blue Black Black Blue Black Black Black\nBlue Brown Brown Brown Black Black Black Black Black Blue Black Blue Blue Black\nBlack Blue Brown Blue Black Blue Black Blue Black Blue Black Black Black Black\nBlack Blue Black Black Blue Black Black Blue Red Black Black Blue Black Black\nBlack Black Blue Black Blue Blue Black Red Red Red Black Black Blue Black\nBlue Blue Black Blue Black Black Black Blue Red Blue Black Black Black Blue\nBlack Black Blue Black Blue Black Blue Black Black Black Blue Blue Black Blue\nBlack Blue Black Blue Black Black Blue Blue Black Brown Blue Brown Blue Blue\nBlack Black Blue Black Blue Blue Blue Blue Blue Blue Brown Black Blue Black\nBlue Black Blue Black Black Black Black Blue Black Brown Black Brown Blue Black\nBlack Black Black Black Blue Black Black Blue Black Blue Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Blue Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Blue Black Blue Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Black Black Blue Black Blue Black Black Blue Black Black Black\nBlue Green Green Green Black Black Black Black Black Blue Black Blue Blue Black\nBlack Blue Green Blue Black Blue Black Blue Black Blue Black Black Black Black\nBlack Blue Black Black Blue Black Black Blue Red Black Black Blue Black Black\nBlack Black Blue Black Blue Blue Black Red Red Red Black Black Blue Black\nBlue Blue Black Blue Black Black Black Blue Red Blue Black Black Black Blue\nBlack Black Blue Black Blue Black Blue Black Black Black Blue Blue Black Blue\nBlack Blue Black Blue Black Black Blue Blue Black Green Blue Green Blue Blue\nBlack Black Blue Black Blue Blue Blue Blue Blue Blue Green Black Blue Black\nBlue Black Blue Black Black Black Black Blue Black Green Black Green Blue Black\nBlack Black Black Black Blue Black Black Blue Black Blue Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Blue Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Blue Black Blue Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Pink Black\nBlack Black Black Pink Black Brown Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Black Orange 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 Brown 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 Purple Black Pink Black\nBlack Black Brown Pink Purple Brown Pink Black\nBlack Black Brown Pink Purple Brown Pink Black\nBlack Black Brown Pink Purple Brown Pink Black\nBlack Black Pink Pink Purple Brown Pink Black\nBlack Black Pink Pink Purple Brown Pink Black\nBlack Black Brown Pink Purple Brown Pink Black\nBlack Black Brown Pink Purple Brown Pink Black\nBlack Black Brown Pink Purple Brown Pink Black\nBlack Black Black Black Purple Black Pink Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Brown Black\nGray Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black\nPurple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Green Black\n\nOutput:\nBlack Black Black Black Black Brown Black\nGray Black Black Black Blue Brown Black\nGray Black Black Black Blue Brown Black\nGray Gray Black Black Blue Brown Black\nGray Gray Black Black Blue Brown Black\nGray Gray Black Black Blue Brown Black\nGray Gray Black Black Blue Brown Black\nGray Black Black Black Blue Brown Black\nGray Black Black Black Blue Brown Black\nBlack Black Black Black Black Brown Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Brown 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 Gray Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Brown Black Gray Black\nGreen Black Black Brown Black Gray Black\nGreen Black Black Brown Black Gray Black\nGreen Black Black Brown Black Gray Black\nBlack Black Black Brown Black Gray Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Gray Black Pink Pink Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black 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 Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Brown\nBlack Black Gray Black Brown Pink Black Black Brown\nBlack Black Gray Black Brown Pink Black Black Brown\nBlack Black Gray Black Brown Pink Black Black Brown\nBlack Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Brown 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 Orange Pink Pink Green Gray Gray Gray\nBlack Black Black Black Black Black Black Orange Pink Pink Green Brown Gray Yellow\nBlack Black Black Black Black Black Black Gray Blue Blue Orange Blue Orange Orange\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Red Gray Gray\n\nOutput:\nGray Gray Gray Green Pink Pink Orange Orange Pink Pink Green Gray Gray Gray\nYellow Gray Brown Green Pink Pink Orange Orange Pink Pink Green Brown Gray Yellow\nOrange Orange Blue Orange Blue Blue Gray Gray Blue Blue Orange Blue Orange Orange\nGray Gray Red Blue Blue Blue Blue Blue Blue Blue Blue Red Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Gray Brown Brown Red\nBlack Black Black Black Black Yellow Gray Brown Orange Gray\nBlack Black Black Black Black Green Green Green Yellow Gray\nBlack Black Black Black Black Yellow Pink Blue Brown Purple\nBlack Black Black Black Black Pink Pink Blue Purple Orange\n\nOutput:\nRed Brown Brown Gray Yellow Yellow Gray Brown Brown Red\nGray Orange Brown Gray Yellow Yellow Gray Brown Orange Gray\nGray Yellow Green Green Green Green Green Green Yellow Gray\nPurple Brown Blue Pink Yellow Yellow Pink Blue Brown Purple\nOrange Purple Blue Pink Pink Pink Pink Blue Purple Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Purple Orange Brown Purple Orange Orange\nBlack Black Black Black Black Black Purple Purple Brown Brown Orange Blue\nBlack Black Black Black Black Black Purple Red Red Red Gray Blue\nBlack Black Black Black Black Black Purple Gray Blue Red Gray Gray\nBlack Black Black Black Black Black Pink Pink Gray Yellow Brown Gray\n\nOutput:\nOrange Orange Purple Brown Orange Purple Purple Orange Brown Purple Orange Orange\nBlue Orange Brown Brown Purple Purple Purple Purple Brown Brown Orange Blue\nBlue Gray Red Red Red Purple Purple Red Red Red Gray Blue\nGray Gray Red Blue Gray Purple Purple Gray Blue Red Gray Gray\nGray Brown Yellow Gray Pink Pink Pink Pink Gray Yellow Brown Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Purple Blue Pink Pink\nBlack Black Black Black Yellow Blue Gray Blue\nBlack Black Black Black Red Brown Pink Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Blue Purple Purple Blue Pink Pink\nBlue Gray Blue Yellow Yellow Blue Gray Blue\nBlue Pink Brown Red Red Brown Pink Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Purple Purple Purple\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Brown Brown Brown Brown Green Green Green\nGreen Green Green Green Green Green Brown Brown Brown Brown Green Green Green\nGreen Green Green Green Green Green Brown Brown Brown Brown Green Green Green\nGreen Green Green Green Pink Pink Brown Brown Brown Brown Green Green Green\nGreen Green Green Green Pink Pink Green Green Green Green Green Green Green\nGreen Green Green Green Pink Pink Green Green Green Green Green Green Green\nGreen Green Green Green Pink Pink Green Green Green Green Green Green Green\nPink Pink Pink Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Green Green Green Green Green Green Green Green Green Green\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 Orange Orange Blue Blue Blue Blue Black Black Black Black Black\nBlack Orange Orange Blue Blue Blue Blue Black Black Black Black Black\nBlack Orange Orange Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Red Red Red Red Black\nBlack Black Black Blue Blue Blue Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen 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 Orange Orange Blue Blue Blue Blue Green Green Green Green Green\nGreen Orange Orange Blue Blue Blue Blue Green Green Green Green Green\nGreen Orange Orange Blue Blue Blue Blue Green Green Green Green Green\nGreen Green Green Blue Blue Blue Green Red Red Red Red Green\nGreen Green Green Blue Blue Blue Green Red Red Red Red Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen 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 Red Red Green Green Green Green Green\nGreen Green Green Green Green Red Red Green Green Green Green Green\nGreen Green Green Green Green Red Red Green Green Green Green Green\nGreen Green Green Green Green Red Red Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\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 Brown Brown Green Green Green Green Brown Brown Brown Brown Green\nGreen Green Green Brown Brown Green Green Green Green Brown Brown Brown Brown Green\nGreen Green Green Brown Brown Green Green Green Green Brown Brown Brown Brown Green\nGreen Green Green Brown Brown Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Gray Gray Gray Green Green\nGreen Green Green Green Green Green Green Green Green Gray Gray Gray 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Orange Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Purple Pink Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Gray 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\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 Yellow Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nPurple 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\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 Red Red Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red 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 Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Brown 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Orange\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Red\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black 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 Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Pink Purple Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black 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 Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow 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\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nRed Orange Yellow Blue Yellow Gray Purple Yellow Green Purple Yellow Blue\nPurple Brown Green Green Blue Purple Gray Purple Green Orange Blue Purple\nBrown Brown Orange Blue Red Purple Orange Blue Green Gray Brown Green\nPurple Yellow Yellow Yellow Orange Green Gray Purple Yellow Purple Purple Purple\nGreen Blue Gray Orange Blue Gray Blue Red Orange Purple Orange Yellow\nBrown Blue Red Red Blue Yellow Green Yellow Blue Purple Orange Red\nBrown Gray Blue Orange Green Green Blue Yellow Orange Purple Yellow Yellow\nBrown Red Red Red Orange Yellow Purple Purple Orange Green Gray Orange\n\nOutput:\nGreen Pink Blue Yellow Blue Gray Brown Blue Red Brown Blue Yellow\nBrown Purple Red Red Yellow Brown Gray Brown Red Pink Yellow Brown\nPurple Purple Pink Yellow Green Brown Pink Yellow Red Gray Purple Red\nBrown Blue Blue Blue Pink Red Gray Brown Blue Brown Brown Brown\nRed Yellow Gray Pink Yellow Gray Yellow Green Pink Brown Pink Blue\nPurple Yellow Green Green Yellow Blue Red Blue Yellow Brown Pink Green\nPurple Gray Yellow Pink Red Red Yellow Blue Pink Brown Blue Blue\nPurple Green Green Green Pink Blue Brown Brown Pink Red Gray Pink\n\n\nExample 2\nInput:\nRed Orange Purple Green Orange Purple Brown Red Purple Red\nOrange Pink Pink Orange Red Brown Gray Orange Red Orange\nPurple Gray Gray Gray Green Orange Brown Orange Brown Green\nPink Red Pink Green Brown Pink Gray Gray Brown Pink\nPink Green Purple Gray Orange Pink Brown Green Brown Orange\nRed Purple Red Brown Pink Green Green Red Purple Orange\nGreen Purple Brown Brown Green Pink Gray Green Purple Pink\n\nOutput:\nGreen Pink Brown Red Pink Brown Purple Green Brown Green\nPink Orange Orange Pink Green Purple Gray Pink Green Pink\nBrown Gray Gray Gray Red Pink Purple Pink Purple Red\nOrange Green Orange Red Purple Orange Gray Gray Purple Orange\nOrange Red Brown Gray Pink Orange Purple Red Purple Pink\nGreen Brown Green Purple Orange Red Red Green Brown Pink\nRed Brown Purple Purple Red Orange Gray Red Brown Orange\n\n\nExample 3\nInput:\nGray Yellow Pink Green Red Purple Green Yellow Purple Pink Orange\nGray Blue Red Purple Orange Brown Pink Pink Yellow Orange Purple\nPink Green Brown Gray Brown Yellow Green Red Purple Yellow Green\nOrange Brown Blue Yellow Purple Yellow Pink Pink Red Orange Red\nBrown Gray Purple Pink Gray Gray Pink Orange Gray Orange Pink\nRed Pink Orange Pink Red Orange Purple Pink Yellow Green Brown\nPink Orange Blue Orange Green Yellow Green Green Gray Brown Green\n\nOutput:\nGray Blue Orange Red Green Brown Red Blue Brown Orange Pink\nGray Yellow Green Brown Pink Purple Orange Orange Blue Pink Brown\nOrange Red Purple Gray Purple Blue Red Green Brown Blue Red\nPink Purple Yellow Blue Brown Blue Orange Orange Green Pink Green\nPurple Gray Brown Orange Gray Gray Orange Pink Gray Pink Orange\nGreen Orange Pink Orange Green Pink Brown Orange Blue Red Purple\nOrange Pink Yellow Pink Red Blue Red Red Gray Purple Red\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Gray Blue Brown Blue Brown Blue Red\nPink Pink Red Yellow Gray Green Blue Blue Blue\nPink Green Orange Gray Blue Orange Red Brown Blue\nBlue Orange Pink Brown Purple Green Yellow Pink Red\nPurple Red Yellow Green Green Pink Gray Purple Purple\nBlue Red Yellow Gray Pink Gray Green Green Orange\nYellow Orange Red Green Orange Brown Brown Yellow Red\nBlue Purple Green Purple Pink Green Brown Red Pink\nOrange Pink Purple Pink Brown Gray Brown Yellow 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```\nOrange Gray Gray Yellow Purple Yellow Purple Yellow Green\nOrange Orange Green Blue Gray Red Yellow Yellow Yellow\nOrange Red Pink Gray Yellow Pink Green Purple Yellow\nYellow Pink Orange Purple Brown Red Blue Orange Green\nBrown Green Blue Red Red Orange Gray Brown Brown\nYellow Green Blue Gray Orange Gray Red Red Pink\nBlue Pink Green Red Pink Purple Purple Blue Green\nYellow Brown Red Brown Orange Red Purple Green Orange\nPink Orange Brown Orange Purple Gray Purple Blue Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Yellow Pink Green Yellow Yellow Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Green Green Green Yellow Brown\nBrown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Green Green Green Green Green Yellow\nBrown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Green Green Green Purple Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Green Pink Purple Pink\nBrown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Purple Purple Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Purple Purple Purple Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Brown Pink Purple Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Yellow Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Yellow Yellow Yellow Gray Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Gray Gray Gray Gray Gray Red Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Red Gray Gray Gray Brown Red Red Brown Brown\nBrown Brown Brown Brown Yellow Yellow Red Red Gray Brown Brown Brown Red Brown Brown\nBrown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Red Brown\nBrown Brown Brown Brown Brown Brown Red Red Red Brown Brown Brown Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Brown Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Green Green Green Green Green Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Yellow Yellow Yellow Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Red Yellow Yellow Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Brown Brown Brown\nBrown Brown Gray Brown Brown Brown Gray Gray Gray Gray Pink Brown Brown Brown\nBrown Gray Gray Gray Brown Brown Gray Gray Gray Pink Pink Pink Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Brown\nBrown Gray Gray Gray Brown Brown Gray Gray Gray Pink Pink Pink Brown Brown\nBrown Brown Gray Brown Brown Brown Gray Gray Gray Gray Pink Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack 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 Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Yellow 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 Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Orange Black Orange Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange 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 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 Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow 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 Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nRed Black Black Black Black Black Black Black Brown Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Brown Black Black Black Black Gray Gray Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Brown Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Black Black Black Black Gray Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Brown Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Pink Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Red Black Black Orange Black Black Black Black\nBlack Black Black Black Red Black Black Orange Black Black Black Black\nBlack Black Black Black Red Black Black Orange Orange Orange Black Black\nBlack Black Blue Blue Red Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow 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 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 Brown Brown Gray Black Black Gray Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple 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 Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Purple Red 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 Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black 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 Orange Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Red Red 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 Gray Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Red Red Pink Red Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Gray Purple Yellow Yellow Red Brown Yellow Green Green Blue Green Pink\nYellow Green Brown Purple Green Purple Green Blue Blue Red Red Green Pink\nGray Pink Brown Pink Yellow Red Blue Blue Brown Pink Blue Gray Brown\nGray Purple Green Pink Purple Green Blue Pink Gray Blue Purple Pink Green\nRed Blue Yellow Green Yellow Green Gray Gray Green Gray Green Gray Green\nBrown Green Gray Brown Yellow Yellow Pink Green Blue Green Red Purple Brown\nPink Yellow Red Gray Pink Pink Blue Blue Gray Blue Yellow Gray Red\nGray Pink Purple Purple Pink Red Red Gray Blue Blue Gray Gray Pink\nBlue Red Pink Blue Blue Pink Green Gray Brown Gray Green Gray Yellow\nGreen Blue Red Yellow Gray Yellow Red Red Brown Red Purple Yellow Gray\nBrown Gray Pink Yellow Blue Purple Pink Gray Blue Red Brown Gray Pink\nYellow Blue Blue Green Blue Red Brown Brown Red Brown Yellow Green Pink\nYellow Blue Green Purple Red Pink Gray Yellow Blue Blue Brown Green Purple\nPurple Gray Red Green Green Yellow Pink Brown Green Green Purple Gray Gray\nBlue Green Blue Yellow Yellow Brown Gray Gray Blue Yellow Blue Purple Red\nRed Gray Green Blue Green Blue Brown Purple Gray Green Green Yellow Red\nGreen Blue Green Red Pink Yellow Blue Yellow Brown Blue Yellow Red Pink\n\nOutput:\nPurple Gray Purple Yellow Yellow Red Red Yellow Green Green Blue Green Red\nYellow Green Red Purple Green Purple Green Blue Blue Red Red Green Red\nGray Red Red Red Yellow Red Blue Blue Red Red Blue Gray Red\nGray Purple Green Red Purple Green Blue Red Gray Blue Purple Red Green\nRed Blue Yellow Green Yellow Green Gray Gray Green Gray Green Gray Green\nRed Green Gray Red Yellow Yellow Red Green Blue Green Red Purple Red\nRed Yellow Red Gray Red Red Blue Blue Gray Blue Yellow Gray Red\nGray Red Purple Purple Red Red Red Gray Blue Blue Gray Gray Red\nBlue Red Red Blue Blue Red Green Gray Red Gray Green Gray Yellow\nGreen Blue Red Yellow Gray Yellow Red Red Red Red Purple Yellow Gray\nRed Gray Red Yellow Blue Purple Red Gray Blue Red Red Gray Red\nYellow Blue Blue Green Blue Red Red Red Red Red Yellow Green Red\nYellow Blue Green Purple Red Red Gray Yellow Blue Blue Red Green Purple\nPurple Gray Red Green Green Yellow Red Red Green Green Purple Gray Gray\nBlue Green Blue Yellow Yellow Red Gray Gray Blue Yellow Blue Purple Red\nRed Gray Green Blue Green Blue Red Purple Gray Green Green Yellow Red\nGreen Blue Green Red Red Yellow Blue Yellow Red Blue Yellow Red Red\n\n\nExample 2\nInput:\nOrange Green Green Blue Orange Orange Red Gray Purple Gray Orange Purple\nOrange Red Gray Purple Red Green Orange Green Orange Green Purple Orange\nGray Blue Red Purple Green Green Pink Orange Red Green Pink Purple\nPurple Red Red Gray Purple Blue Gray Blue Blue Purple Gray Purple\nGray Pink Pink Blue Blue Purple Blue Gray Blue Purple Gray Orange\nRed Blue Blue Purple Red Orange Orange Orange Blue Orange Red Orange\nOrange Pink Pink Red Gray Green Green Pink Pink Red Purple Pink\nRed Green Purple Red Orange Pink Gray Green Blue Green Pink Gray\nRed Blue Gray Gray Blue Purple Gray Gray Red Gray Gray Orange\nRed Blue Pink Red Pink Purple Blue Blue Red Blue Green Green\nPurple Green Red Pink Orange Pink Orange Orange Pink Blue Orange Red\nRed Green Pink Red Green Pink Red Purple Purple Pink Green Purple\nPink Red Gray Gray Purple Purple Purple Orange Orange Gray Blue Purple\nRed Gray Red Green Red Purple Pink Purple Pink Purple Orange Green\nPurple Pink Purple Blue Orange Purple Orange Pink Blue Green Purple Orange\n\nOutput:\nRed Green Green Blue Red Red Red Gray Purple Gray Red Purple\nRed Red Gray Purple Red Green Red Green Red Green Purple Red\nGray Blue Red Purple Green Green Red Red Red Green Red Purple\nPurple Red Red Gray Purple Blue Gray Blue Blue Purple Gray Purple\nGray Red Red Blue Blue Purple Blue Gray Blue Purple Gray Red\nRed Blue Blue Purple Red Red Red Red Blue Red Red Red\nRed Red Red Red Gray Green Green Red Red Red Purple Red\nRed Green Purple Red Red Red Gray Green Blue Green Red Gray\nRed Blue Gray Gray Blue Purple Gray Gray Red Gray Gray Red\nRed Blue Red Red Red Purple Blue Blue Red Blue Green Green\nPurple Green Red Red Red Red Red Red Red Blue Red Red\nRed Green Red Red Green Red Red Purple Purple Red Green Purple\nRed Red Gray Gray Purple Purple Purple Red Red Gray Blue Purple\nRed Gray Red Green Red Purple Red Purple Red Purple Red Green\nPurple Red Purple Blue Red Purple Red Red Blue Green Purple Red\n\n\nExample 3\nInput:\nPurple Purple Gray Yellow Brown Yellow Green Gray Purple Orange Gray Orange\nGray Yellow Yellow Pink Pink Orange Yellow Pink Pink Yellow Orange Yellow\nOrange Blue Gray Blue Blue Brown Pink Yellow Gray Red Yellow Pink\nGreen Gray Blue Orange Brown Red Purple Purple Green Brown Purple Pink\nPink Yellow Green Red Purple Yellow Blue Blue Green Brown Blue Blue\nOrange Purple Brown Brown Green Yellow Brown Gray Green Yellow Brown Red\nBlue Red Gray Purple Brown Yellow Gray Yellow Orange Red Orange Red\nYellow Orange Green Gray Yellow Red Pink Brown Green Yellow Red Gray\nGray Purple Green Orange Gray Gray Gray Pink Green Orange Green Yellow\nPink Yellow Purple Gray Yellow Orange Purple Red Orange Purple Blue Brown\nBrown Yellow Orange Red Red Red Green Yellow Yellow Red Blue Gray\nRed Green Orange Green Brown Gray Green Brown Brown Purple Blue Gray\nPurple Red Yellow Purple Green Red Pink Yellow Green Green Blue Yellow\nOrange Purple Pink Yellow Gray Red Gray Green Brown Purple Red Red\nBlue Green Orange Gray Pink Yellow Gray Pink Purple Gray Yellow Purple\nOrange Green Purple Pink Blue Blue Green Purple Brown Purple Blue Red\n\nOutput:\nPurple Purple Gray Yellow Red Yellow Green Gray Purple Red Gray Red\nGray Yellow Yellow Red Red Red Yellow Red Red Yellow Red Yellow\nRed Blue Gray Blue Blue Red Red Yellow Gray Red Yellow Red\nGreen Gray Blue Red Red Red Purple Purple Green Red Purple Red\nRed Yellow Green Red Purple Yellow Blue Blue Green Red Blue Blue\nRed Purple Red Red Green Yellow Red Gray Green Yellow Red Red\nBlue Red Gray Purple Red Yellow Gray Yellow Red Red Red Red\nYellow Red Green Gray Yellow Red Red Red Green Yellow Red Gray\nGray Purple Green Red Gray Gray Gray Red Green Red Green Yellow\nRed Yellow Purple Gray Yellow Red Purple Red Red Purple Blue Red\nRed Yellow Red Red Red Red Green Yellow Yellow Red Blue Gray\nRed Green Red Green Red Gray Green Red Red Purple Blue Gray\nPurple Red Yellow Purple Green Red Red Yellow Green Green Blue Yellow\nRed Purple Red Yellow Gray Red Gray Green Red Purple Red Red\nBlue Green Red Gray Red Yellow Gray Red Purple Gray Yellow Purple\nRed Green Purple Red Blue Blue Green Purple Red Purple Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Pink Orange Orange Pink Red Pink Red Blue Pink Purple Green Brown Brown\nGray Green Green Pink Orange Green Blue Red Red Pink Brown Green Purple Blue\nBrown Red Red Gray Brown Pink Brown Gray Yellow Gray Blue Brown Green Yellow\nYellow Orange Purple Green Yellow Pink Yellow Red Purple Yellow Red Green Gray Brown\nYellow Green Purple Orange Gray Gray Purple Purple Gray Pink Purple Purple Green Blue\nYellow Orange Green Red Brown Purple Purple Gray Brown Orange Orange Purple Green Red\nBrown Green Yellow Orange Pink Gray Orange Orange Blue Gray Blue Orange Purple Pink\nPurple Gray Pink Blue Gray Blue Blue Red Red Red Yellow Red Red Gray\nOrange Yellow Gray Green Yellow Brown Gray Pink Green Pink Pink Purple Yellow Blue\nPurple Red Purple Red Blue Gray Yellow Purple Green Gray Orange Green Red Orange\nYellow Gray Pink Red Purple Brown Yellow Green Gray Brown Orange Green Pink Green\nBlue Orange Brown Orange Blue Orange Pink Brown Yellow Gray Purple Blue Purple Purple\nRed Orange Green Green Pink Purple Brown Brown Orange Yellow Red Blue Green Red\nRed Green Blue Yellow Green Pink Green Yellow Blue Blue Green Blue Pink Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Red Red Red Red Red Red Red Blue Red Purple Green Red Red\nGray Green Green Red Red Green Blue Red Red Red Red Green Purple Blue\nRed Red Red Gray Red Red Red Gray Yellow Gray Blue Red Green Yellow\nYellow Red Purple Green Yellow Red Yellow Red Purple Yellow Red Green Gray Red\nYellow Green Purple Red Gray Gray Purple Purple Gray Red Purple Purple Green Blue\nYellow Red Green Red Red Purple Purple Gray Red Red Red Purple Green Red\nRed Green Yellow Red Red Gray Red Red Blue Gray Blue Red Purple Red\nPurple Gray Red Blue Gray Blue Blue Red Red Red Yellow Red Red Gray\nRed Yellow Gray Green Yellow Red Gray Red Green Red Red Purple Yellow Blue\nPurple Red Purple Red Blue Gray Yellow Purple Green Gray Red Green Red Red\nYellow Gray Red Red Purple Red Yellow Green Gray Red Red Green Red Green\nBlue Red Red Red Blue Red Red Red Yellow Gray Purple Blue Purple Purple\nRed Red Green Green Red Purple Red Red Red Yellow Red Blue Green Red\nRed Green Blue Yellow Green Red Green Yellow Blue Blue Green Blue Red 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 Red Black Black Black Blue Black Brown Purple Black Black Black Black Black Yellow\nBlack Green Black Black Pink Black Red Black Brown Black Purple Orange Black Black Black Black Black Black\nRed Black Black Black Pink Black Pink Black Black Black Black Black Black Black Black Blue Gray Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Red Black Black Black Yellow Black Black Orange\nBlack Black Blue Black Black Black Purple Black Black Black Black Yellow Brown Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Blue Red Yellow Yellow Black Purple Black Brown Gray\nBlack Black Black Black Black Brown Black Purple Black Black Black Black Green Purple Orange Black Black Yellow\nYellow Black Black Black Purple Black Black Blue Black Black Black Black Black Black Black Red Black Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Black Green Yellow Black Black Black Black Black Purple\nBlack Brown Black Black Red Black Black Black Green Black Yellow Gray Black Black Black Black Black Black\nBlack Black Black Black Red Black Red Black Black Black Black Black Black Black Black Yellow Blue Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Purple Black Black Gray\nBlack Black Yellow Black Black Black Yellow Black Black Black Black Purple Green Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Yellow Black Purple Purple Black Yellow Black Green Blue\nBlack Black Black Black Black Green Black Yellow Black Black Black Black Brown Yellow Gray Black Black Purple\nPurple Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Blue Black\nPurple Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Gray Black\n\nOutput:\nBlack Black Black Black Black Yellow Black\nYellow Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black\nBlack Black Black Black Black Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Purple Blue Green\nBlack Black Black Black Black Orange Black\nBlack Green Black Black Black Black Black\nBlack Black Black Black Orange Yellow Brown\nPurple Black Gray Black Black Gray Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black\nYellow Pink Black Black Brown Black Black\nBlack Black Black Black Gray Black Black\nBlack Black Green Black Black Black Black\nBrown Blue Black Black Green Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Brown\nBlack Black Black Black Black Gray Black\nBlack Brown Black Black Black Black Black\nBlack Black Black Black Gray Purple Green\nYellow Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Red Black\nPurple Red Black Black Green Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Brown Black Black Black Black\nGreen Yellow Black Black Brown Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Black Black Black Black Black Yellow Orange\nBlack Purple Black Black Black Black Purple Black Black\nYellow Black Red Brown Black Black Black Green Brown\nGray Brown Red Black Black Pink Orange Black Black\nBlack Black Black Gray Black Purple Black Black Orange\nGray Gray Black Black Black Black Black Black Blue\nGray Black Brown Black Pink Black Black Pink Black\nYellow Black Black Black Purple Black Pink Black Black\nBlack Black Black Pink Black Black Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Black Black Black Black Black Purple Gray\nBlack Yellow Black Black Black Black Yellow Black Black\nPurple Black Black Green Black Black Black Brown Green\nBlue Green Black Black Black Red Gray Black Black\nBlack Black Black Blue Black Yellow Black Black Gray\nBlue Blue Black Black Black Black Black Black Yellow\nBlue Black Green Black Red Black Black Red Black\nPurple Black Black Black Yellow Black Red Black Black\nBlack Black Black Red Black Black Blue Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Brown Gray Orange Black Black Black Black\nBlack Black Black Gray Pink Brown Pink Orange Black Black Black Black\nBlack Black Black Brown Brown Purple Brown Brown Black Black Black Black\nBlack Black Black Orange Pink Brown Pink Gray Black Black Black Black\nBlack Black Black Orange Gray Brown Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nPink Brown Pink Orange Black Black Black Black Black Black Black Black\nBrown Purple Brown Brown Black Black Black Black Black Black Black Black\nPink Brown Pink Gray Black Black Black Black Black Black Black Black\nGray Brown Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Yellow Yellow Orange Black Black Black Black Black Black Black\nBlack Green Purple Purple Green Black Black Black Black Black Black Black\nBlack Green Orange Orange Green Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Brown Brown Brown Brown Gray Black Black Black Black\nBlack Black Gray Gray Red Red Gray Gray Black Black Black Black\nBlack Black Blue Orange Red Red Orange Blue Black Black Black Black\nBlack Black Orange Orange Purple Purple Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Gray Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Purple Blue Blue Orange Yellow Black\nBlack Black Black Black Black Purple Purple Orange Gray Green Yellow Black\nBlack Black Black Black Black Purple Yellow Yellow Purple Purple Yellow Black\nBlack Black Black Black Black Yellow Yellow Purple Purple Purple Orange Black\nBlack Black Black Black Black Yellow Yellow Green Red Purple 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Blue Purple Blue Blue Orange Yellow Black Black\nBlack Black Black Black Purple Purple Orange Gray Green Yellow Black Black\nBlack Black Black Black Purple Yellow Yellow Purple Purple Yellow Black Black\nBlack Black Black Black Yellow Yellow Purple Purple Purple Orange Black Black\nBlack Black Black Black Yellow Yellow Green Red Purple Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Brown Black Blue Black Black Black Black Gray Blue Black Black Gray Black Purple Black\nBlack Black Black Black Black Black Brown Black Black Black Purple Black Black Black Blue Black Black\nBlack Purple Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Gray\nGray Black Blue Black Black Black Black Black Purple Black Black Purple Blue Black Yellow Black Purple\nPurple Black Yellow Brown Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Gray Brown Gray Brown Black Black Black Black Brown Blue Black Black Black Black Purple\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Purple Black Black Gray\nBlack Black Black Black Blue Black Purple Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Gray Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Purple Purple Gray Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Gray 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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Purple\nBlack Black Black Gray Orange Black Black Black Gray Black Black Black Orange Green Black\nBlack Black Black Black Black Black Black Gray Black Black Pink Black Black Black Green\nBlack Green Black Orange Orange Black Gray Black Black Orange Gray Black Black Black Black\nBlack Gray Gray Black Black Black Orange Purple Black Black Pink Black Black Pink Black\nBlack Purple Black Black Black Green Black Black Black Black Black Black Black Gray Black\nGray Black Black Pink Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nOrange Black Purple Black Black Gray Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Green Black Black Black Purple Black\nBlack Black Green Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Green Black Black Black Black Orange Black Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black 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 Pink Black Black Black Pink Black Black Black Black Black\nGreen Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Gray Black Black Black Pink Black Pink Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Pink Black Black\nBlack Black Pink Pink Black Black Green Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Pink Gray Black Black Gray Black Black Gray Black Black Black Black\nGray Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Green Black Black Black Gray\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Green Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Red 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\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Red Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Brown Black Black Black Black Black Black Purple Black\nRed Black Red Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Brown Black Black Black Black Gray Black\nBlack Gray Black Black Brown Red Brown Black Brown Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Red Black Black Red Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Red Black Black Purple Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Brown Purple Brown Black Black Black\nBlack Black Black Black Black Gray Black Red Black Black\nBlack Black Black Brown Brown Green Brown Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Brown Purple Brown Yellow Black Black\nBlack Black Black Red Black Gray Black Red Black Black\nBlack Black Black Brown Brown Green Brown Brown Black Black\nBlack Black Black Brown Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Orange Red Red Black Black Black Black Black Black\nBlack Pink Black Black Gray Pink Black Black Black Black\nBlack Black Black Blue Gray Pink Black Black Black Black\nBlack Red Orange Red Black Red Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Red Red Red Orange Black Black Black Black\nBlack Pink Gray Black Gray Pink Black Black Black Black\nBlack Pink Gray Blue Gray Pink Black Black Black Black\nBlack Red Orange Red Orange Red Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black\n\n\nExample 3\nInput:\nBlack Purple Black Black Blue Black Black Black Black Black\nBlack Purple Purple Gray Purple Black Black Black Black Black\nBlack Blue Blue Green Blue Black Black Black Black Black\nBlack Black Black Green Black Yellow Black Black Black Black\nBlack Black Pink Brown Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Blue Black Blue Purple Black Black Black Black\nBlack Purple Purple Gray Purple Purple Black Black Black Black\nBlack Blue Blue Green Blue Blue Black Black Black Black\nBlack Yellow Black Green Black Yellow Black Black Black Black\nBlack Black Pink Brown Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Red Black Red Black\nBlack Black Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Gray Blue Black Blue Gray\nBlack Black Black Black Black Red Purple Black Black Red\nBlack Black Black Black Black Black Purple 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Red Black Red Yellow\nBlack Black Black Black Black Yellow Red Black Red Yellow\nBlack Black Black Black Black Gray Blue Black Blue Gray\nBlack Black Black Black Black Red Purple Black Purple Red\nBlack Black Black Black Black Purple Purple Black Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Brown Black Black Black Black Brown Brown Brown Black\nBrown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Brown Black Black Black Black Brown Brown Brown Black\nBrown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Brown Brown Brown Brown Brown\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 Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Black Pink Black Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Black Pink Pink Pink Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black\nBlack Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Black Pink Pink Pink Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Gray Gray Yellow Yellow Purple Purple\nYellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Gray Gray Yellow Yellow Purple Purple\nGreen Green Green Green Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange\nGreen Green Green Green Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange\nRed Red Purple Purple Yellow Yellow Orange Orange Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange\nRed Red Purple Purple Yellow Yellow Orange Orange Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange\nGray Gray Orange Orange Brown Brown Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange\nGray Gray Orange Orange Brown Brown Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange\nPink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nPink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\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\nPink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nPink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nGray Gray Orange Orange Brown Brown Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange\nGray Gray Orange Orange Brown Brown Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange\nRed Red Purple Purple Yellow Yellow Orange Orange Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange\nRed Red Purple Purple Yellow Yellow Orange Orange Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange\nGreen Green Green Green Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange\nGreen Green Green Green Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Gray Gray Yellow Yellow Purple Purple\nYellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Gray Gray Yellow Yellow Purple Purple\nYellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Gray Gray Yellow Yellow Purple Purple\nYellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Gray Gray Yellow Yellow Purple Purple\nGreen Green Green Green Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange\nGreen Green Green Green Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange\nRed Red Purple Purple Yellow Yellow Orange Orange Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange\nRed Red Purple Purple Yellow Yellow Orange Orange Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange\nGray Gray Orange Orange Brown Brown Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange\nGray Gray Orange Orange Brown Brown Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange\nPink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nPink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nRed Red Purple Purple Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple\nRed Red Purple Purple Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple\nBlue Blue Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Blue Blue\nBlue Blue Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Blue Blue\nOrange Orange Pink Pink Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue\nOrange Orange Pink Pink Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue\nBrown Brown Orange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBrown Brown Orange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\n\nOutput:\nBrown Brown Orange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBrown Brown Orange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nOrange Orange Pink Pink Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue\nOrange Orange Pink Pink Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue\nBlue Blue Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Blue Blue\nBlue Blue Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Blue Blue\nRed Red Purple Purple Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple\nRed Red Purple Purple Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple\nRed Red Purple Purple Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple\nRed Red Purple Purple Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple\nBlue Blue Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Blue Blue\nBlue Blue Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Blue Blue\nOrange Orange Pink Pink Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue\nOrange Orange Pink Pink Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue\nBrown Brown Orange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBrown Brown Orange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown Purple Purple Pink Pink\nGray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown Purple Purple Pink Pink\nGray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown\nGray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown\nBlue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nBlue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nOrange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown\nOrange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown\n\nOutput:\nOrange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown\nOrange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown\nBlue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nBlue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nGray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown\nGray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown\nGray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown Purple Purple Pink Pink\nGray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown Purple Purple Pink Pink\nGray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown Purple Purple Pink Pink\nGray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown Purple Purple Pink Pink\nGray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown\nGray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown\nBlue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nBlue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nOrange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown\nOrange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink Red Red Orange Orange\nYellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink Red Red Orange Orange\nGray Gray Green Green Purple Purple Yellow Yellow Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nGray Gray Green Green Purple Purple Yellow Yellow Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nPink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown\nPink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown\nPurple Purple Pink Pink Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink\nPurple Purple Pink Pink Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink\nGray Gray Pink Pink Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nGray Gray Pink Pink Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Pink Pink Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nGray Gray Pink Pink Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nPurple Purple Pink Pink Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink\nPurple Purple Pink Pink Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink\nPink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown\nPink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown\nGray Gray Green Green Purple Purple Yellow Yellow Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nGray Gray Green Green Purple Purple Yellow Yellow Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nYellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink Red Red Orange Orange\nYellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink Red Red Orange Orange\nYellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink Red Red Orange Orange\nYellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink Red Red Orange Orange\nGray Gray Green Green Purple Purple Yellow Yellow Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nGray Gray Green Green Purple Purple Yellow Yellow Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nPink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown\nPink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown\nPurple Purple Pink Pink Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink\nPurple Purple Pink Pink Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink\nGray Gray Pink Pink Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nGray Gray Pink Pink Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nPurple Black Orange 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 Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Yellow 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 Brown Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nOrange Black Purple Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Orange 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 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 Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Orange Blue 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 Brown Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red 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 Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Blue Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue 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 Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nPink Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\nGreen Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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\nRed Yellow Green Brown\nGray Orange Green Brown\nOrange Orange Purple Purple\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Brown Brown Purple\nRed Yellow Green Brown Yellow Green Green Purple\nGray Orange Green Brown Yellow Yellow Orange Orange\nOrange Orange Purple Purple Yellow Red Gray Orange\nYellow Yellow Yellow Yellow Yellow Brown Brown Purple\nRed Yellow Green Brown Yellow Green Green Purple\nGray Orange Green Brown Yellow Yellow Orange Orange\nOrange Orange Purple Purple Yellow Red Gray Orange\n\n\nExample 2\nInput:\nBrown Green Red\nBrown Gray Red\nBrown Gray Yellow\n\nOutput:\nBrown Green Red Red Red Yellow\nBrown Gray Red Green Gray Gray\nBrown Gray Yellow Brown Brown Brown\nBrown Green Red Red Red Yellow\nBrown Gray Red Green Gray Gray\nBrown Gray Yellow Brown Brown Brown\n\n\nExample 3\nInput:\nRed Red Red\nGray Orange Blue\nPink Purple Purple\n\nOutput:\nRed Red Red Red Blue Purple\nGray Orange Blue Red Orange Purple\nPink Purple Purple Red Gray Pink\nRed Red Red Red Blue Purple\nGray Orange Blue Red Orange Purple\nPink Purple Purple Red Gray Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlue Pink Red\nBlue Blue Yellow\nPink Blue Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Pink Red Red Yellow Purple\nBlue Blue Yellow Pink Blue Blue\nPink Blue Purple Blue Blue Pink\nBlue Pink Red Red Yellow Purple\nBlue Blue Yellow Pink Blue Blue\nPink Blue Purple Blue Blue Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\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 Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 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 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 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 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 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 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 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 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 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 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Pink Pink Pink 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Gray Gray Gray Gray Gray Gray 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Green Green Green Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Green Green Green Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Green Green Green Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Green Green Green Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Green Green Green Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Green Green Green Pink Pink Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Orange Orange Brown Brown Yellow Pink\nPink Orange Orange Orange Orange Blue Pink\nGray Orange Orange Orange Orange Yellow Pink\nGray Orange Orange Orange Orange Yellow Pink\nGray Orange Orange Orange Orange Yellow Pink\n\nOutput:\nGray Orange Orange Brown Brown Yellow Pink\nPink Orange Orange Orange Orange Blue Pink\nPink Orange Orange Orange Orange Blue Pink\nGray Orange Orange Brown Brown Yellow Pink\n\n\nExample 2\nInput:\nYellow Gray Purple Brown Green\nYellow Gray Purple Orange Green\nGreen Green Purple Gray Gray\nYellow Green Purple Gray Gray\nYellow Green Purple Gray Gray\nYellow Green Purple Gray Gray\n\nOutput:\nYellow Gray Purple Brown Green\nYellow Gray Purple Orange Green\nGreen Green Purple Gray Gray\nGreen Green Purple Gray Gray\nYellow Gray Purple Orange Green\nYellow Gray Purple Brown Green\n\n\nExample 3\nInput:\nYellow Yellow Brown Purple Orange Orange\nYellow Yellow Brown Brown Orange Blue\nBlue Yellow Brown Green Gray Blue\nYellow Yellow Brown Green Orange Orange\nYellow Yellow Brown Green Orange Orange\nYellow Yellow Brown Green Orange Orange\n\nOutput:\nYellow Yellow Brown Purple Orange Orange\nYellow Yellow Brown Brown Orange Blue\nBlue Yellow Brown Green Gray Blue\nBlue Yellow Brown Green Gray Blue\nYellow Yellow Brown Brown Orange Blue\nYellow Yellow Brown Purple Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nPurple Blue Brown Red\nPurple Pink Brown Red\nPurple Blue Brown Red\nPurple Blue 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"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Blue Brown Red\nPurple Pink Brown Red\nPurple Pink Brown Red\nPurple Blue Brown Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Orange Orange Orange Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Orange Orange Orange Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Orange Orange Orange Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Orange Orange Orange Green Green Green Orange Orange Orange Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Orange Orange Orange Green Green Green Orange Orange Orange Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Orange Orange Orange Green Green Green Orange Orange Orange Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple 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\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Blue Blue Black Brown Brown Black Black Black\nBlack Black Black Black Black Blue Blue Black Brown Brown Black Black Black\nBlack Black Black Black Black Blue Blue Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Purple Purple Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Purple Purple Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Gray Gray Gray\nBlack Black Black Black Black Black Black Orange Orange Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nOrange Orange Black Black Black Black Black Black Black Blue Blue Black Black Black\nOrange Orange Black Black Black Black Black Black Black Blue Blue Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack 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\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Orange Purple Green Pink Brown Red Orange Blue Green Purple Purple Orange Purple Green Red Gray Orange Purple Brown\nOrange Purple Red Orange Orange Pink Purple Blue Purple Orange Brown Pink Purple Gray Brown Green Pink Green Blue Purple\nGreen Brown Orange Blue Purple Green Purple Purple Purple Red Red Brown Pink Gray Purple Brown Pink Orange Blue Red\nGreen Pink Purple Brown Gray Orange Pink Blue Brown Pink Blue Pink Gray Brown Purple Brown Green Purple Green Green\nBrown Red Blue Pink Brown Orange Orange Pink Green Brown Purple Green Green Red Pink Gray Gray Pink Green Orange\nGreen Purple Blue Orange Brown Gray Pink Pink Purple Red Gray Gray Gray Brown Green Purple Purple Brown Orange Blue\nGreen Green Blue Red Purple Brown Purple Purple Orange Pink Red Green Red Brown Gray Blue Brown Blue Brown Red\nPurple Gray Purple Green Gray Orange Gray Red Orange Red Yellow Purple Brown Purple Brown Brown Red Orange Blue Red\nBlue Blue Brown Gray Green Orange Blue Blue Pink Yellow Yellow Yellow Orange Pink Brown Blue Green Blue Orange Blue\nBlue Brown Blue Green Red Red Green Brown Yellow Yellow Yellow Yellow Yellow Orange Green Red Red Brown Purple Brown\nRed Gray Pink Orange Purple Red Orange Purple Blue Yellow Yellow Yellow Green Purple Brown Red Orange Orange Blue Red\nRed Red Purple Red Pink Brown Purple Brown Pink Blue Yellow Purple Blue Green Green Green Orange Purple Pink Red\nPurple Red Gray Gray Gray Blue Red Orange Blue Gray Pink Red Orange Purple Pink Red Orange Blue Red Gray\nGray Blue Purple Red Purple Red Brown Pink Red Pink Green Gray Brown Red Brown Pink Red Brown Gray Green\nPink Blue Green Orange Blue Brown Green Blue Gray Green Brown Purple Red Pink Orange Pink Red Orange Gray Green\nRed Green Brown Green Red Orange Gray Gray Brown Green Red Gray Pink Pink Brown Green Gray Gray Pink Red\nGreen Gray Blue Gray Gray Orange Purple Brown Brown Gray Red Red Red Purple Orange Blue Brown Pink Green Blue\nRed Green Green Orange Gray Orange Red Purple Orange Pink Pink Blue Brown Pink Blue Green Orange Pink Brown Blue\nGreen Gray Green Green Green Gray Pink Green Orange Green Purple Red Orange Purple Brown Pink Orange Blue Green Brown\nPurple Blue Gray Red Orange Brown Gray Blue Blue Red Pink Red Purple Red Red Pink Pink Orange Brown Purple\n\nOutput:\nGreen Orange Purple Green Pink Brown Red Orange Blue Green Purple Purple Orange Purple Green Red Gray Orange Purple Brown\nOrange Purple Red Orange Orange Pink Purple Blue Purple Orange Brown Pink Purple Gray Brown Green Pink Green Blue Purple\nGreen Brown Orange Blue Purple Green Purple Purple Purple Red Red Brown Pink Gray Purple Brown Pink Orange Blue Red\nGreen Pink Purple Brown Gray Orange Pink Blue Brown Pink Blue Pink Gray Brown Purple Brown Green Purple Green Green\nBrown Red Blue Pink Brown Orange Orange Pink Green Brown Purple Green Green Red Pink Gray Gray Pink Green Orange\nGreen Purple Blue Orange Brown Gray Pink Pink Purple Red Gray Gray Gray Brown Green Purple Purple Brown Orange Blue\nGreen Green Blue Red Purple Brown Purple Purple Orange Pink Red Green Red Brown Gray Blue Brown Blue Brown Red\nPurple Gray Purple Green Gray Orange Gray Red Orange Red Orange Purple Brown Purple Brown Brown Red Orange Blue Red\nBlue Blue Brown Gray Green Orange Blue Blue Pink Yellow Yellow Yellow Orange Pink Brown Blue Green Blue Orange Blue\nBlue Brown Blue Green Red Red Green Brown Orange Yellow Yellow Yellow Yellow Orange Green Red Red Brown Purple Brown\nRed Gray Pink Orange Purple Red Orange Purple Blue Gray Green Green Green Purple Brown Red Orange Orange Blue Red\nRed Red Purple Red Pink Brown Purple Brown Pink Blue Gray Purple Blue Green Green Green Orange Purple Pink Red\nPurple Red Gray Gray Gray Blue Red Orange Blue Gray Pink Red Orange Purple Pink Red Orange Blue Red Gray\nGray Blue Purple Red Purple Red Brown Pink Red Pink Green Gray Brown Red Brown Pink Red Brown Gray Green\nPink Blue Green Orange Blue Brown Green Blue Gray Green Brown Purple Red Pink Orange Pink Red Orange Gray Green\nRed Green Brown Green Red Orange Gray Gray Brown Green Red Gray Pink Pink Brown Green Gray Gray Pink Red\nGreen Gray Blue Gray Gray Orange Purple Brown Brown Gray Red Red Red Purple Orange Blue Brown Pink Green Blue\nRed Green Green Orange Gray Orange Red Purple Orange Pink Pink Blue Brown Pink Blue Green Orange Pink Brown Blue\nGreen Gray Green Green Green Gray Pink Green Orange Green Purple Red Orange Purple Brown Pink Orange Blue Green Brown\nPurple Blue Gray Red Orange Brown Gray Blue Blue Red Pink Red Purple Red Red Pink Pink Orange Brown Purple\n\n\nExample 2\nInput:\nBrown Red Orange Blue Red Purple Pink Red Pink Blue Orange Yellow Red Yellow Gray Blue Gray Yellow Purple Orange\nPurple Blue Purple Orange Blue Brown Brown Gray Brown Gray Blue Pink Purple Yellow Blue Pink Blue Pink Brown Blue\nBrown Brown Purple Blue Gray Pink Gray Orange Purple Gray Yellow Yellow Purple Gray Red Yellow Yellow Yellow Orange Blue\nRed Pink Purple Gray Orange Orange Pink Brown Brown Red Brown Blue Gray Orange Red Yellow Blue Gray Purple Orange\nPink Blue Red Gray Purple Pink Purple Purple Orange Red Purple Purple Orange Gray Yellow Orange Red Brown Gray Pink\nPink Red Gray Red Orange Brown Brown Red Pink Brown Brown Blue Blue Purple Yellow Purple Orange Purple Brown Pink\nRed Orange Gray Orange Orange Brown Orange Blue Yellow Brown Blue Brown Red Red Yellow Purple Brown Brown Pink Purple\nYellow Purple Blue Orange Yellow Purple Brown Pink Blue Green Green Green Blue Blue Pink Pink Brown Yellow Brown Purple\nRed Gray Purple Orange Purple Yellow Brown Yellow Green Green Green Green Green Orange Pink Gray Gray Orange Red Yellow\nPink Blue Yellow Orange Yellow Yellow Yellow Brown Green Green Green Green Green Purple Brown Red Purple Gray Brown Gray\nBrown Red Pink Yellow Brown Yellow Blue Pink Green Green Red Green Green Blue Brown Yellow Red Orange Yellow Brown\nYellow Blue Orange Orange Red Blue Pink Gray Red Green Blue Green Gray Yellow Purple Brown Gray Blue Yellow Red\nGray Gray Yellow Purple Orange Red Brown Brown Orange Red Blue Purple Pink Orange Purple Brown Purple Red Yellow Red\nOrange Purple Pink Brown Pink Gray Orange Pink Yellow Blue Blue Yellow Purple Blue Pink Brown Yellow Blue Gray Brown\nBlue Blue Gray Orange Purple Blue Purple Yellow Red Purple Blue Orange Purple Gray Brown Yellow Yellow Yellow Purple Gray\nOrange Red Brown Yellow Gray Gray Yellow Red Gray Purple Pink Orange Orange Gray Purple Brown Gray Purple Brown Pink\nGray Gray Yellow Red Pink Yellow Gray Blue Pink Orange Brown Yellow Blue Orange Pink Gray Yellow Blue Gray Pink\nBrown Red Gray Yellow Yellow Blue Brown Pink Red Gray Brown Pink Yellow Red Pink Brown Orange Red Gray Yellow\nPurple Yellow Pink Brown Orange Blue Purple Blue Orange Purple Red Pink Pink Gray Pink Gray Purple Purple Yellow Pink\nPurple Gray Gray Pink Yellow Yellow Yellow Blue Purple Brown Yellow Red Blue Orange Orange Red Red Yellow Purple Brown\n\nOutput:\nBrown Red Orange Blue Red Purple Pink Red Pink Blue Orange Yellow Red Yellow Gray Blue Gray Yellow Purple Orange\nPurple Blue Purple Orange Blue Brown Brown Gray Brown Gray Blue Pink Purple Yellow Blue Pink Blue Pink Brown Blue\nBrown Brown Purple Blue Gray Pink Gray Orange Purple Gray Yellow Yellow Purple Gray Red Yellow Yellow Yellow Orange Blue\nRed Pink Purple Gray Orange Orange Pink Brown Brown Red Brown Blue Gray Orange Red Yellow Blue Gray Purple Orange\nPink Blue Red Gray Purple Pink Purple Purple Orange Red Purple Purple Orange Gray Yellow Orange Red Brown Gray Pink\nPink Red Gray Red Orange Brown Brown Red Pink Brown Brown Blue Blue Purple Yellow Purple Orange Purple Brown Pink\nRed Orange Gray Orange Orange Brown Orange Blue Yellow Brown Blue Brown Red Red Yellow Purple Brown Brown Pink Purple\nYellow Purple Blue Orange Yellow Purple Brown Pink Blue Purple Purple Purple Blue Blue Pink Pink Brown Yellow Brown Purple\nRed Gray Purple Orange Purple Yellow Brown Yellow Green Purple Purple Purple Green Orange Pink Gray Gray Orange Red Yellow\nPink Blue Yellow Orange Yellow Yellow Yellow Brown Brown Purple Purple Purple Purple Purple Brown Red Purple Gray Brown Gray\nBrown Red Pink Yellow Brown Yellow Blue Pink Gray Brown Red Brown Purple Blue Brown Yellow Red Orange Yellow Brown\nYellow Blue Orange Orange Red Blue Pink Gray Red Brown Blue Purple Gray Yellow Purple Brown Gray Blue Yellow Red\nGray Gray Yellow Purple Orange Red Brown Brown Orange Red Blue Purple Pink Orange Purple Brown Purple Red Yellow Red\nOrange Purple Pink Brown Pink Gray Orange Pink Yellow Blue Blue Yellow Purple Blue Pink Brown Yellow Blue Gray Brown\nBlue Blue Gray Orange Purple Blue Purple Yellow Red Purple Blue Orange Purple Gray Brown Yellow Yellow Yellow Purple Gray\nOrange Red Brown Yellow Gray Gray Yellow Red Gray Purple Pink Orange Orange Gray Purple Brown Gray Purple Brown Pink\nGray Gray Yellow Red Pink Yellow Gray Blue Pink Orange Brown Yellow Blue Orange Pink Gray Yellow Blue Gray Pink\nBrown Red Gray Yellow Yellow Blue Brown Pink Red Gray Brown Pink Yellow Red Pink Brown Orange Red Gray Yellow\nPurple Yellow Pink Brown Orange Blue Purple Blue Orange Purple Red Pink Pink Gray Pink Gray Purple Purple Yellow Pink\nPurple Gray Gray Pink Yellow Yellow Yellow Blue Purple Brown Yellow Red Blue Orange Orange Red Red Yellow Purple Brown\n\n\nExample 3\nInput:\nPink Purple Brown Orange Brown Purple Blue Yellow Pink Red Orange Red Orange Yellow Brown Gray Gray Blue Pink Purple\nPurple Yellow Blue Orange Brown Blue Blue Brown Yellow Pink Yellow Yellow Purple Gray Brown Orange Blue Red Red Orange\nBrown Purple Orange Gray Orange Brown Pink Purple Orange Purple Red Red Gray Orange Brown Orange Gray Red Pink Gray\nBlue Gray Blue Purple Red Pink Yellow Orange Pink Blue Orange Brown Yellow Orange Blue Gray Pink Blue Red Pink\nGray Orange Yellow Blue Pink Pink Yellow Yellow Blue Red Brown Purple Orange Brown Brown Purple Pink Red Brown Pink\nYellow Purple Blue Brown Brown Brown Orange Blue Gray Blue Gray Purple Purple Pink Blue Gray Red Gray Blue Yellow\nOrange Purple Brown Brown Orange Orange Gray Blue Orange Red Pink Orange Blue Yellow Pink Brown Yellow Blue Pink Yellow\nBrown Gray Orange Brown Orange Pink Blue Red Brown Purple Brown Yellow Green Yellow Blue Brown Yellow Red Yellow Yellow\nPurple Purple Gray Gray Pink Yellow Blue Yellow Green Green Green Green Green Gray Pink Gray Blue Red Pink Purple\nBrown Blue Brown Yellow Orange Brown Purple Yellow Green Green Green Green Green Pink Yellow Yellow Blue Purple Red Brown\nBrown Red Brown Brown Yellow Purple Pink Purple Gray Yellow Pink Green Green Red Pink Pink Brown Gray Gray Blue\nPink Yellow Brown Brown Gray Yellow Yellow Brown Pink Gray Gray Green Green Orange Orange Yellow Gray Blue Red Orange\nPurple Purple Orange Gray Purple Yellow Purple Blue Purple Gray Purple Gray Pink Blue Orange Blue Red Blue Red Brown\nBrown Blue Orange Orange Purple Yellow Red Gray Blue Gray Brown Orange Red Pink Blue Brown Yellow Brown Yellow Pink\nOrange Red Gray Red Purple Pink Yellow Purple Orange Yellow Brown Brown Purple Pink Pink Brown Pink Purple Red Yellow\nPink Purple Yellow Red Orange Brown Pink Brown Brown Blue Pink Purple Pink Red Purple Purple Orange Purple Red Brown\nYellow Orange Orange Yellow Yellow Orange Pink Red Blue Blue Orange Orange Orange Red Brown Red Brown Orange Brown Red\nBlue Blue Gray Red Pink Red Yellow Yellow Blue Purple Blue Yellow Brown Pink Pink Red Gray Pink Yellow Brown\nYellow Brown Purple Blue Pink Brown Yellow Orange Gray Brown Blue Red Pink Red Red Pink Gray Purple Gray Pink\nRed Pink Yellow Red Blue Gray Red Blue Brown Purple Blue Yellow Blue Blue Brown Gray Red Orange Blue Yellow\n\nOutput:\nPink Purple Brown Orange Brown Purple Blue Yellow Pink Red Orange Red Orange Yellow Brown Gray Gray Blue Pink Purple\nPurple Yellow Blue Orange Brown Blue Blue Brown Yellow Pink Yellow Yellow Purple Gray Brown Orange Blue Red Red Orange\nBrown Purple Orange Gray Orange Brown Pink Purple Orange Purple Red Red Gray Orange Brown Orange Gray Red Pink Gray\nBlue Gray Blue Purple Red Pink Yellow Orange Pink Blue Orange Brown Yellow Orange Blue Gray Pink Blue Red Pink\nGray Orange Yellow Blue Pink Pink Yellow Yellow Blue Red Brown Purple Orange Brown Brown Purple Pink Red Brown Pink\nYellow Purple Blue Brown Brown Brown Orange Blue Gray Blue Gray Purple Purple Pink Blue Gray Red Gray Blue Yellow\nOrange Purple Brown Brown Orange Orange Gray Blue Orange Red Pink Orange Blue Yellow Pink Brown Yellow Blue Pink Yellow\nBrown Gray Orange Brown Orange Pink Blue Red Brown Purple Brown Yellow Green Yellow Blue Brown Yellow Red Yellow Yellow\nPurple Purple Gray Gray Pink Yellow Blue Yellow Green Purple Purple Purple Purple Gray Pink Gray Blue Red Pink Purple\nBrown Blue Brown Yellow Orange Brown Purple Yellow Green Purple Purple Purple Gray Pink Yellow Yellow Blue Purple Red Brown\nBrown Red Brown Brown Yellow Purple Pink Purple Gray Yellow Pink Gray Brown Red Pink Pink Brown Gray Gray Blue\nPink Yellow Brown Brown Gray Yellow Yellow Brown Pink Gray Gray Purple Green Orange Orange Yellow Gray Blue Red Orange\nPurple Purple Orange Gray Purple Yellow Purple Blue Purple Gray Purple Gray Pink Blue Orange Blue Red Blue Red Brown\nBrown Blue Orange Orange Purple Yellow Red Gray Blue Gray Brown Orange Red Pink Blue Brown Yellow Brown Yellow Pink\nOrange Red Gray Red Purple Pink Yellow Purple Orange Yellow Brown Brown Purple Pink Pink Brown Pink Purple Red Yellow\nPink Purple Yellow Red Orange Brown Pink Brown Brown Blue Pink Purple Pink Red Purple Purple Orange Purple Red Brown\nYellow Orange Orange Yellow Yellow Orange Pink Red Blue Blue Orange Orange Orange Red Brown Red Brown Orange Brown Red\nBlue Blue Gray Red Pink Red Yellow Yellow Blue Purple Blue Yellow Brown Pink Pink Red Gray Pink Yellow Brown\nYellow Brown Purple Blue Pink Brown Yellow Orange Gray Brown Blue Red Pink Red Red Pink Gray Purple Gray Pink\nRed Pink Yellow Red Blue Gray Red Blue Brown Purple Blue Yellow Blue Blue Brown Gray Red Orange Blue Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPink Orange Brown Pink Orange Blue Blue Green Yellow Pink Blue Brown Orange Green Pink Red Pink Orange Orange Pink\nOrange Purple Purple Blue Brown Yellow Green Blue Brown Brown Orange Orange Orange Purple Orange Brown Blue Yellow Blue Orange\nBrown Yellow Purple Blue Purple Brown Brown Red Blue Red Red Orange Orange Pink Red Blue Pink Brown Yellow Red\nRed Green Blue Yellow Brown Brown Purple Green Brown Blue Green Pink Green Pink Orange Red Purple Pink Green Purple\nPink Yellow Pink Blue Yellow Pink Orange Blue Yellow Orange Orange Blue Purple Brown Blue Brown Brown Red Red Yellow\nPurple Green Yellow Purple Brown Pink Blue Purple Pink Green Purple Yellow Red Red Blue Brown Red Green Red Pink\nYellow Red Purple Green Purple Pink Blue Pink Yellow Red Orange Green Purple Brown Yellow Red Green Green Red Red\nRed Brown Yellow Red Green Blue Orange Yellow Gray Gray Gray Orange Gray Purple Yellow Red Yellow Blue Yellow Blue\nPink Blue Green Yellow Pink Pink Orange Green Gray Gray Gray Gray Gray Orange Pink Pink Yellow Yellow Brown Pink\nPurple Red Blue Red Purple Purple Orange Pink Gray Gray Brown Purple Red Pink Orange Pink Orange Red Orange Green\nPink Pink Green Green Blue Pink Green Brown Gray Gray Gray Gray Gray Red Pink Pink Orange Red Red Purple\nRed Purple Pink Yellow Red Blue Blue Blue Gray Gray Gray Yellow Gray Blue Red Brown Brown Green Pink Purple\nGreen Yellow Orange Red Purple Purple Purple Pink Purple Pink Yellow Red Green Purple Green Brown Blue Green Orange Green\nBrown Blue Orange Yellow Purple Blue Purple Purple Blue Red Purple Yellow Green Orange Green Orange Pink Pink Red Brown\nOrange Blue Orange Green Pink Brown Green Red Blue Orange Yellow Pink Purple Red Blue Yellow Green Blue Green Red\nYellow Red Green Orange Green Yellow Blue Yellow Red Purple Brown Purple Red Brown Red Brown Yellow Purple Purple Red\nRed Red Pink Green Purple Red Green Purple Purple Purple Yellow Yellow Brown Orange Orange Orange Yellow Purple Green Yellow\nPurple Yellow Orange Green Brown Orange Purple Pink Brown Yellow Blue Green Purple Purple Blue Blue Yellow Purple Blue Orange\nBrown Red Orange Pink Blue Purple Purple Green Red Green Orange Purple Red Red Pink Pink Green Green Purple Red\nPink Green Green Yellow Purple Brown Purple Green Brown Red Green Yellow Orange Red Blue Yellow Brown Pink Pink 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 Orange Brown Pink Orange Blue Blue Green Yellow Pink Blue Brown Orange Green Pink Red Pink Orange Orange Pink\nOrange Purple Purple Blue Brown Yellow Green Blue Brown Brown Orange Orange Orange Purple Orange Brown Blue Yellow Blue Orange\nBrown Yellow Purple Blue Purple Brown Brown Red Blue Red Red Orange Orange Pink Red Blue Pink Brown Yellow Red\nRed Green Blue Yellow Brown Brown Purple Green Brown Blue Green Pink Green Pink Orange Red Purple Pink Green Purple\nPink Yellow Pink Blue Yellow Pink Orange Blue Yellow Orange Orange Blue Purple Brown Blue Brown Brown Red Red Yellow\nPurple Green Yellow Purple Brown Pink Blue Purple Pink Green Purple Yellow Red Red Blue Brown Red Green Red Pink\nYellow Red Purple Green Purple Pink Blue Pink Yellow Red Orange Green Purple Brown Yellow Red Green Green Red Red\nRed Brown Yellow Red Green Blue Orange Yellow Orange Brown Gray Orange Gray Purple Yellow Red Yellow Blue Yellow Blue\nPink Blue Green Yellow Pink Pink Orange Green Purple Purple Purple Purple Gray Orange Pink Pink Yellow Yellow Brown Pink\nPurple Red Blue Red Purple Purple Orange Pink Gray Brown Brown Purple Red Pink Orange Pink Orange Red Orange Green\nPink Pink Green Green Blue Pink Green Brown Brown Brown Brown Brown Brown Red Pink Pink Orange Red Red Purple\nRed Purple Pink Yellow Red Blue Blue Blue Purple Gray Orange Yellow Orange Blue Red Brown Brown Green Pink Purple\nGreen Yellow Orange Red Purple Purple Purple Pink Purple Pink Yellow Red Green Purple Green Brown Blue Green Orange Green\nBrown Blue Orange Yellow Purple Blue Purple Purple Blue Red Purple Yellow Green Orange Green Orange Pink Pink Red Brown\nOrange Blue Orange Green Pink Brown Green Red Blue Orange Yellow Pink Purple Red Blue Yellow Green Blue Green Red\nYellow Red Green Orange Green Yellow Blue Yellow Red Purple Brown Purple Red Brown Red Brown Yellow Purple Purple Red\nRed Red Pink Green Purple Red Green Purple Purple Purple Yellow Yellow Brown Orange Orange Orange Yellow Purple Green Yellow\nPurple Yellow Orange Green Brown Orange Purple Pink Brown Yellow Blue Green Purple Purple Blue Blue Yellow Purple Blue Orange\nBrown Red Orange Pink Blue Purple Purple Green Red Green Orange Purple Red Red Pink Pink Green Green Purple Red\nPink Green Green Yellow Purple Brown Purple Green Brown Red Green Yellow Orange Red Blue Yellow Brown Pink 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 Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray Green Green Green Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray Green Green Green Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray Green Green Green Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Black Black Black Brown Brown Brown Red Red Red Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Purple Purple Purple\nOrange Orange Orange Yellow Yellow Yellow Black Black Black Brown Brown Brown Red Red Red Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Purple Purple Purple\nOrange Orange Orange Yellow Yellow Yellow Black Black Black Brown Brown Brown Red Red Red Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple\nPink Pink Pink 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\nPink Pink Pink 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\nPink Pink Pink Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Green Green Green Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Green Green Green Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow 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\nYellow Yellow Yellow 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\nYellow Yellow Yellow 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 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 Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nPurple Purple Purple 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\nPurple Purple Purple 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\nPurple Purple Purple 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\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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\nYellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nYellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nYellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Black Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Black Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nGreen Green Green Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nGreen Green Green Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Pink Pink Pink Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Green Green Green Pink Pink Pink 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 Purple Purple Purple Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink 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 Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Green Green Green 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:\nPurple Purple Yellow Blue Blue Brown Brown Black Blue Yellow Black Purple Blue\nYellow Blue Blue Purple Brown Black Blue Black Black Blue Purple Black Blue\nPurple Black Yellow Brown Blue Brown Brown Brown Blue Blue Purple Purple Blue\nBlue Blue Brown Purple Yellow Purple Brown Brown Yellow Purple Purple Yellow Brown\nBlue Blue Brown Yellow Blue Blue Brown Brown Black Brown Yellow Blue Black\nPurple Brown Blue Blue Brown Black Purple Brown Black Black Yellow Brown Blue\nYellow Blue Yellow Brown Black Blue Blue Black Blue Brown Brown Brown Purple\nYellow Purple Blue Blue Black Yellow Yellow Blue Brown Blue Brown Brown Purple\nBlack Black Purple Brown Blue Brown Purple Yellow Blue Yellow Black Blue Purple\nYellow Blue Brown Purple Brown Purple Purple Purple Purple Black Blue Black Brown\nYellow Blue Brown Brown Purple Yellow Brown Brown Purple Brown Blue Brown Black\nPurple Black Purple Blue Blue Brown Yellow Brown Black Blue Blue Purple Blue\nPurple Blue Purple Purple Black Brown Blue Black Yellow Blue Black Yellow Black\nBlue Brown Brown Black Blue Purple Yellow Purple Brown Purple Yellow Yellow Blue\nPurple Blue Blue Brown Yellow Brown Yellow Yellow Black Blue Black Black Yellow\nYellow Yellow Brown Blue Black Purple Purple Blue Blue Brown Yellow Blue Purple\nBlue Yellow Brown Yellow Brown Brown Blue Brown Black Yellow Brown Blue Purple\n\nOutput:\nPurple Blue Purple Black Yellow Blue Black Black Blue Yellow Black Purple Blue\nYellow Blue Black Purple Blue Black Black Black Black Blue Purple Black Blue\nPurple Blue Purple Purple Blue Blue Brown Brown Blue Blue Purple Purple Blue\nBlue Brown Yellow Purple Purple Yellow Brown Brown Yellow Purple Purple Yellow Brown\nBlue Black Blue Yellow Brown Black Brown Brown Black Brown Yellow Blue Black\nPurple Blue Brown Yellow Black Black Brown Brown Black Black Yellow Brown Blue\nYellow Purple Brown Brown Brown Blue Black Black Blue Brown Brown Brown Purple\nYellow Purple Brown Brown Blue Brown Blue Blue Brown Blue Brown Brown Purple\nBlack Purple Blue Black Yellow Blue Yellow Yellow Blue Yellow Black Blue Purple\nYellow Brown Black Blue Black Purple Purple Purple Purple Black Blue Black Brown\nYellow Black Brown Blue Brown Purple Brown Brown Purple Brown Blue Brown Black\nPurple Blue Purple Blue Blue Black Brown Brown Black Blue Blue Purple Blue\nPurple Black Yellow Black Blue Yellow Black Black Yellow Blue Black Yellow Black\nBlue Blue Yellow Yellow Purple Brown Purple Purple Brown Purple Yellow Yellow Blue\nPurple Yellow Black Black Blue Black Yellow Yellow Black Blue Black Black Yellow\nYellow Purple Blue Yellow Brown Blue Blue Blue Blue Brown Yellow Blue Purple\nBlue Purple Blue Brown Yellow Black Brown Brown Black Yellow Brown Blue Purple\n\n\nExample 2\nInput:\nPink Pink Pink Orange Orange Pink Green Purple Green Orange Orange Pink\nPink Orange Green Green Orange Purple Orange Green Purple Pink Pink Orange\nPurple Purple Pink Pink Green Purple Purple Purple Green Pink Green Pink\nOrange Green Orange Green Pink Pink Green Pink Pink Orange Pink Green\nPink Green Purple Green Orange Purple Pink Purple Purple Purple Purple Purple\nPurple Black Pink Orange Purple Green Purple Pink Green Green Pink Purple\nPurple Orange Purple Pink Green Purple Pink Purple Pink Pink Pink Pink\nGreen Pink Orange Pink Green Pink Pink Orange Green Orange Green Green\nPink Green Orange Pink Pink Pink Green Green Green Pink Purple Green\nPink Orange Pink Green Pink Purple Purple Purple Orange Green Orange Purple\nPurple Pink Green Green Purple Orange Purple Black Pink Pink Orange Green\nPurple Pink Pink Purple Orange Orange Purple Black Purple Purple Orange Pink\nPink Green Orange Orange Pink Orange Purple Pink Purple Orange Pink Pink\nPurple Green Orange Purple Pink Green Pink Purple Purple Green Orange Purple\nGreen Orange Green Pink Orange Purple Purple Orange Black Purple Black Orange\n\nOutput:\nPink Orange Orange Green Purple Green Green Purple Green Orange Orange Pink\nOrange Pink Pink Purple Green Orange Orange Green Purple Pink Pink Orange\nPink Green Pink Green Purple Purple Purple Purple Green Pink Green Pink\nGreen Pink Orange Pink Pink Green Green Pink Pink Orange Pink Green\nPurple Purple Purple Purple Purple Pink Pink Purple Purple Purple Purple Purple\nPurple Pink Green Green Pink Purple Purple Pink Green Green Pink Purple\nPink Pink Pink Pink Purple Pink Pink Purple Pink Pink Pink Pink\nGreen Green Orange Green Orange Pink Pink Orange Green Orange Green Green\nGreen Purple Pink Green Green Green Green Green Green Pink Purple Green\nPurple Orange Green Orange Purple Purple Purple Purple Orange Green Orange Purple\nGreen Orange Pink Pink Black Purple Purple Black Pink Pink Orange Green\nPink Orange Purple Purple Black Purple Purple Black Purple Purple Orange Pink\nPink Pink Orange Purple Pink Purple Purple Pink Purple Orange Pink Pink\nPurple Orange Green Purple Purple Pink Pink Purple Purple Green Orange Purple\nOrange Black Purple Black Orange Purple Purple Orange Black Purple Black Orange\n\n\nExample 3\nInput:\nBlack Pink Black Black Black Black Gray Gray Gray Pink Black Black\nBlack Black Gray Black Black Pink Black Black Black Black Black Black\nBlack Gray Black Black Gray Black Black Black Black Pink Gray Black\nPink Black Gray Black Gray Black Black Black Pink Gray Black Gray\nBlack Black Black Black Black Gray Pink Black Black Black Black Gray\nBlack Black Black Black Black Gray Gray Pink Black Pink Black Pink\nGray Black Black Black Gray Black Gray Pink Black Black Black Black\nPink Black Gray Black Black Black Pink Black Gray Black Gray Black\nBlack Gray Pink Pink Black Gray Pink Black Pink Pink Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Pink\nGray Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Black Gray\nBlack Pink Gray Black Gray Black Pink Black Pink Black Black Gray\nBlack Gray Black Gray Black Pink Pink Black Gray Black Black Gray\nBlack Pink Black Black Pink Black Black Gray Black Black Black Black\nBlack Pink Gray Black Black Pink Black Pink Black Gray Black Gray\n\nOutput:\nBlack Black Pink Gray Gray Gray Gray Gray Gray Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Pink Black Black Black Black Black Black Pink Gray Black\nGray Black Gray Pink Black Black Black Black Pink Gray Black Gray\nGray Black Black Black Black Pink Pink Black Black Black Black Gray\nPink Black Pink Black Pink Gray Gray Pink Black Pink Black Pink\nBlack Black Black Black Pink Gray Gray Pink Black Black Black Black\nBlack Gray Black Gray Black Pink Pink Black Gray Black Gray Black\nBlack Black Pink Pink Black Pink Pink Black Pink Pink Black Black\nPink Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Gray Black Black Black Black Gray Black Black Black\nGray Black Gray Black Black Black Black Black Black Gray Black Gray\nGray Black Black Pink Black Pink Pink Black Pink Black Black Gray\nGray Black Black Gray Black Pink Pink Black Gray Black Black Gray\nBlack Black Black Black Gray Black Black Gray Black Black Black Black\nGray Black Gray Black Pink Black Black Pink Black Gray Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Gray Gray Red Black Gray Gray Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Brown Gray Black Black Black Black Brown\nBrown Black Gray Gray Red Gray Brown Gray Brown Brown Black Black Black Black\nBlack Gray Red Black Brown Red Brown Gray Black Black Black Brown Black Brown\nBlack Brown Black Brown Brown Brown Gray Brown Red Gray Brown Black Brown Black\nBrown Black Red Black Red Black Black Brown Red Black Gray Brown Brown Black\nGray Gray Gray Brown Black Black Red Red Red Black Black Brown Red Black\nRed Black Brown Brown Brown Red Gray Red Brown Red Brown Black Black Gray\nGray Black Gray Brown Brown Black Black Black Red Brown Black Red Red Red\nBlack Brown Red Gray Red Red Black Brown Red Black Brown Black Brown Brown\nRed Black Black Gray Gray Black Red Red Black Black Black Brown Brown Gray\nBlack Red Black Brown Gray Black Red Brown Black Black Gray Brown Black Red\nGray Brown Gray Black Red Black Black Brown Brown Brown Black Gray Black Red\nBlack Brown Brown Gray Black Red Brown Red Black Black 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 Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Black Black\nBrown Black Black Black Black Gray Brown Brown Gray Black Black Black Black Brown\nBlack Black Black Black Brown Brown Gray Gray Brown Brown Black Black Black Black\nBrown Black Brown Black Black Black Gray Gray Black Black Black Brown Black Brown\nBlack Brown Black Brown Gray Red Brown Brown Red Gray Brown Black Brown Black\nBlack Brown Brown Gray Black Red Brown Brown Red Black Gray Brown Brown Black\nBlack Red Brown Black Black Red Red Red Red Black Black Brown Red Black\nGray Black Black Brown Red Brown Red Red Brown Red Brown Black Black Gray\nRed Red Red Black Brown Red Black Black Red Brown Black Red Red Red\nBrown Brown Black Brown Black Red Brown Brown Red Black Brown Black Brown Brown\nGray Brown Brown Black Black Black Red Red Black Black Black Brown Brown Gray\nRed Black Brown Gray Black Black Brown Brown Black Black Gray Brown Black Red\nRed Black Gray Black Brown Brown Brown Brown Brown Brown Black Gray Black Red\nBlack Black Black Red Black Black Red Red Black Black 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Gray Brown Purple Brown Purple Blue Purple Blue Red Gray Brown Purple Blue\nBlue Purple Purple Blue Blue Purple Brown Purple Brown Blue Brown Purple Brown Blue\nBlue Purple Brown Red Purple Brown Brown Gray Red Brown Blue Purple Brown Blue\nBlue Brown Purple Purple Blue Purple Gray Blue Gray Red Gray Red Gray Blue\nBlue Red Purple Purple Brown Blue Brown Purple Purple Gray Brown Red Brown Blue\nBlue Blue Brown Brown Blue Blue Red Brown Red Purple Gray Brown Blue Blue\nBlue Brown Brown Gray Gray Red Purple Brown Gray Gray Purple Purple Gray Blue\nBlue Brown Purple Blue Gray Red Gray Blue Red Blue Blue Gray Purple Blue\nBlue Brown Red Blue Blue Red Brown Blue Blue Purple Blue Red Blue Blue\nBlue Blue Purple Blue Brown Blue Brown Red Purple Brown Blue Blue Blue Blue\nBlue Purple Gray Gray Black Purple Blue Gray Gray Blue Gray Purple Blue Blue\nBlue Blue Blue Gray Gray Brown Purple Purple Gray Brown Blue Blue Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Red Blue Brown Gray Gray Brown Gray Brown Yellow Black Red Red Brown\nBrown Blue Blue Red Brown Brown Blue Yellow Blue Red Brown Red Blue Brown\nBrown Yellow Black Black Brown Yellow Blue Brown Blue Black Brown Gray Black Brown\nBrown Brown Black Gray Gray Red Blue Blue Black Black Gray Yellow Red Brown\nBrown Brown Blue Brown Gray Yellow Gray Red Brown Black Gray Blue Blue Brown\nBrown Brown Yellow Gray Red Brown Brown Blue Yellow Brown Gray Blue Black Brown\nBrown Yellow Gray Brown Blue Red Blue Black Blue Brown Brown Yellow Black Brown\nBrown Brown Brown Blue Red Blue Blue Blue Yellow Red Blue Yellow Yellow Brown\nBrown Yellow Brown Blue Brown Blue Red Blue Blue Gray Red Blue Brown Brown\nBrown Red Blue Black Red Yellow Red Red Red Blue Brown Brown Brown Brown\nBrown Gray Brown Blue Red Blue Blue Yellow Yellow Yellow Black Blue Gray Brown\nBrown Red Gray Blue Brown Blue Gray Brown Blue Yellow Brown Red Blue Brown\nBrown Blue Brown Blue Red Brown Brown Red Blue Brown Blue Brown Yellow Brown\nBrown Yellow Black Blue Red Blue Brown Gray Red Gray Blue Red Blue Brown\nBrown Blue Brown Black Brown Gray Black Yellow Yellow Brown Brown Yellow Blue Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown Brown Black Brown Brown Black Brown\nBrown Brown Black Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown\nBrown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Black Brown\nBrown 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\nBrown Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown\nBrown 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\nBrown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Brown Brown Black Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Blue Blue Gray Black Gray Blue Pink Purple Brown Brown Pink Pink Pink Brown Black Pink\nPink Brown Pink Brown Brown Purple Pink Gray Purple Pink Blue Black Purple Blue Pink Pink Brown Pink\nPink Gray Brown Pink Pink Brown Blue Brown Blue Pink Blue Black Pink Brown Pink Pink Blue Pink\nPink Brown Blue Pink Brown Pink Gray Gray Blue Brown Pink Pink Brown Pink Black Purple Pink Pink\nPink Pink Brown Black Blue Black Brown Brown Blue Gray Brown Pink Brown Pink Pink Brown Gray Pink\nPink Brown Black Brown Pink Pink Gray Brown Purple Pink Pink Pink Purple Gray Pink Pink Gray Pink\nPink Blue Blue Pink Blue Brown Pink Pink Brown Blue Gray Blue Blue Pink Brown Brown Blue Pink\nPink Black Brown Black Blue Brown Brown Pink Brown Purple Pink Purple Pink Black Pink Blue Pink Pink\nPink Pink Black Brown Gray Purple Black Blue Blue Blue Black Black Purple Blue Pink Pink Purple Pink\nPink Brown Purple Purple Brown Gray Brown Pink Brown Brown Gray Purple Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Purple Purple Brown Brown Brown Pink Purple Pink Brown Blue Purple Brown Gray Pink\nPink Pink Brown Brown Brown Blue Blue Pink Purple Pink Brown Black Pink Black Brown Blue Brown Pink\nPink Pink Pink Black Blue Pink Pink Black Blue Blue Pink Black Pink Pink Pink Blue Brown Pink\nPink Black Pink Brown Pink Gray Pink Pink Pink Blue Pink Gray Gray Black Pink Brown Pink Pink\nPink Pink Purple Gray Black Purple Brown Pink Pink Pink Brown Purple Brown Gray Black Purple Pink Pink\nPink Pink Black Black Gray Purple Blue Pink Brown Purple Pink Pink Pink Black Blue Black Blue Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink\nPink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Black Pink Pink Pink Black Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink\nPink Pink Pink Black Pink Pink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Purple Purple Brown Gray Yellow Purple Gray Gray Yellow Yellow Yellow\nYellow Purple Gray Yellow Purple Yellow Yellow Red Purple Yellow Red Yellow\nYellow Yellow Brown Yellow Purple Yellow Brown Brown Red Yellow Yellow Yellow\nYellow Brown Yellow Red Gray Yellow Yellow Yellow Gray Yellow Brown Yellow\nYellow Yellow Gray Red Red Yellow Yellow Gray Yellow Yellow Purple Yellow\nYellow Yellow Yellow Yellow Purple Purple Gray Red Gray Red Yellow Yellow\nYellow Gray Brown Yellow Red Purple Yellow Purple Purple Red Black Yellow\nYellow Gray Red Purple Yellow Purple Purple Purple Yellow Brown Brown Yellow\nYellow Red Gray Yellow Red Brown Purple Yellow Yellow Yellow Yellow Yellow\nYellow Brown Red Gray Purple Yellow Red Yellow Purple Yellow Purple Yellow\nYellow Purple Red Brown Yellow Red Brown Brown Gray Purple Red Yellow\nYellow Red Purple Purple Purple Purple Gray Yellow Brown Yellow Brown Yellow\nYellow Red Purple Purple Purple Purple Purple Gray Yellow Red Gray Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Purple Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\n\n\nExample 2\nInput:\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Purple Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\n\n\nExample 3\nInput:\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Purple Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Purple Blue\nRed Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Brown Brown Brown Brown Black Black\nBlack Gray Gray Black Brown Brown Brown Brown Black Black\nBlack Gray Gray Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Pink Pink Pink\nBlack Blue Blue Blue Blue Black Black Pink Pink Pink\nBlack Blue Blue Blue Blue Black Black Black Pink Pink\n\nOutput:\nBlack Black Black Black Red Red Red Red Black Black\nBlack Red Red Black Red Red Red Red Black Black\nBlack Red Red Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Black Black Red Red Red\nBlack Red Red Red Red Black Black Red Red Red\nBlack Red Red Red Red Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nGray Gray Black Black Black Black Pink Pink Pink Black\nGray Gray Gray Black Black Black Pink Pink Pink Black\nGray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black\nRed Red Black Black Black Black Red Red Red Black\nRed Red Red Black Black Black Red Red Red Black\nRed Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Gray Gray Gray Black Gray Gray Gray Gray Black\nBlack Gray Gray Gray Black Gray Gray Gray Gray Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Blue 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 Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Red Red Red Black Red Red Red Red Black\nBlack Red Red Red Black Red Red Red Red Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Blue Black\n\n\nHere is the input grid for the test example:\nInput:\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\nBlack Black 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 Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black\nRed Black Black Black Black Black 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\nRed Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlue Black Black Black Black Black 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:\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\n\nOutput:\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Pink Pink Pink\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack 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 Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack 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 Blue Blue Blue Black Black Black\nBlack 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black 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```\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue 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 Yellow Black Black Pink Red Black Black Pink Black Black Black\nBlack Pink Black Gray Black Black Blue Red Black Black Yellow Black\nBlack Black Green Black Black Black Black Brown Black Black Gray Black\nBlack Black Green Brown Black Black Black Black Black Orange Black Black\nBlack Black Yellow Black Purple Black Black Orange Black Black Orange Red\nBlack Brown Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Gray Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Purple Black Black\nYellow Blue Purple Black Purple Brown Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Red Black Black Blue Purple Black Black Black Black Black Black\nYellow Black Black Black Red Pink Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Green Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Purple Blue\nBlack Black Black Black Black Black Black Orange Purple Black Black Black\nBlack Black Pink Black Black Black Black Black Black Green Brown Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Purple Black Orange\nBlack Black Black Black Blue Black Black Black Black Purple Black Black\nBlack Yellow Black Red Green Black Black Black Black Black Purple Black\n\nOutput:\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\nPink Gray Blue Red Yellow Green Brown Gray Yellow Pink Red Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Green Green Black\nBlack Black Black Black Black Gray Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Brown Black Black Pink Black Brown Black Black Pink Black Black Black Black\nYellow Yellow Black Orange Black Pink Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Gray\nBlack Black Black Black Black Brown Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black\n\nOutput:\nBrown Pink Yellow Yellow Orange Blue Green Green Gray Yellow Yellow Purple Brown Pink\nBrown Pink Yellow Yellow Orange Blue Green Green Gray Yellow Yellow Purple Brown Pink\nBrown Pink Yellow Yellow Orange Blue Green Green Gray Yellow Yellow Purple Brown Pink\nBrown Pink Yellow Yellow Orange Blue Green Green Gray Yellow Yellow Purple Brown Pink\nBrown Pink Yellow Yellow Orange Blue Green Green Gray Yellow Yellow Purple Brown Pink\nBrown Pink Yellow Yellow Orange Blue Green Green Gray Yellow Yellow Purple Brown Pink\nBrown Pink Yellow Yellow Orange Blue Green Green Gray Yellow Yellow Purple Brown Pink\nBrown Pink Yellow Yellow Orange Blue Green Green Gray Yellow Yellow Purple Brown Pink\nBrown Pink Yellow Yellow Orange Blue Green Green Gray Yellow Yellow Purple Brown Pink\nBrown Pink Yellow Yellow Orange Blue Green Green Gray Yellow Yellow Purple Brown Pink\nBrown Pink Yellow Yellow Orange Blue Green Green Gray Yellow Yellow Purple Brown Pink\n\n\nExample 3\nInput:\nBlack Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Orange Black Black Black Yellow Black Black Black Black Blue Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Pink Black Black Black\nPurple Orange Brown Black Black Black Black Black Black Yellow Black Orange Black Brown Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Blue Black Pink Gray Black Black Black Black Black Black\nBlack Green Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Red Black Black Black Gray Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Pink\nBlack Black Purple Black Black Black Black Black Purple Black Black Black Blue Black Brown\n\nOutput:\nBlue Orange Yellow Blue Brown Pink Purple Orange Brown Yellow Orange Brown Yellow Gray Blue\nBlue Orange Yellow Blue Brown Pink Purple Orange Brown Yellow Orange Brown Yellow Gray Blue\nBlue Orange Yellow Blue Brown Pink Purple Orange Brown Yellow Orange Brown Yellow Gray Blue\nBlue Orange Yellow Blue Brown Pink Purple Orange Brown Yellow Orange Brown Yellow Gray Blue\nBlue Orange Yellow Blue Brown Pink Purple Orange Brown Yellow Orange Brown Yellow Gray Blue\nBlue Orange Yellow Blue Brown Pink Purple Orange Brown Yellow Orange Brown Yellow Gray Blue\nBlue Orange Yellow Blue Brown Pink Purple Orange Brown Yellow Orange Brown Yellow Gray Blue\nBlue Orange Yellow Blue Brown Pink Purple Orange Brown Yellow Orange Brown Yellow Gray Blue\nBlue Orange Yellow Blue Brown Pink Purple Orange Brown Yellow Orange Brown Yellow Gray Blue\nBlue Orange Yellow Blue Brown Pink Purple Orange Brown Yellow Orange Brown Yellow Gray Blue\nBlue Orange Yellow Blue Brown Pink Purple Orange Brown Yellow Orange Brown Yellow Gray Blue\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Black Black Orange Gray Pink Black Black\nBlack Black Brown Black Yellow Orange Black Black Black Black Black Orange Black\nBlue Blue Gray Black Black Black Black Gray Black Blue Black Black Black\nYellow Orange Black Green Orange Black Pink Black Gray Black Black Black Black\nBlack Gray Orange Green Black Black Black Black Black Black Black Orange Green\nPink Black Black Black Black Brown Red Black Black Black Gray Gray Black\nPink Black Pink Black Orange Pink Pink Pink Purple Black Black Brown Black\nGray Black Black Black Black Brown Black Black Pink Black Black Black Black\nPurple Brown Black Black Black Orange Green Green Black Black Black Purple Black\nBlack Orange Black Black Blue Black Black Black Brown Black Black Black Yellow\nBlack Black Gray Black Green Black Black Green Black Orange Black Yellow Black\nBlack Pink Pink Black Black Orange Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Black Black Red Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\nGray Blue Red Orange Gray Pink Brown Yellow Orange Orange Blue Blue Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Pink Brown Black Pink Brown Black Black Orange Black Black Orange\nBlue Black Yellow Black Black Green Purple Green Purple Black Black Black\nBlack Orange Yellow Black Orange Black Pink Black Black Purple Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Red\nBlack Black Black Purple Orange Black Orange Black Black Gray Black Black\nYellow Blue Black Black Purple Black Black Black Blue Black Black Brown\nPink Black Black Pink Black Black Purple Black Orange Yellow Red Pink\nYellow Black Red Black Black Black Black Black Red Red Orange Black\n\nOutput:\nBlack Orange Red Red Black Black Black Black Black Red Black Yellow\nPink Red Yellow Orange Black Purple Black Black Pink Black Black Pink\nBrown Black Black Blue Black Black Black Purple Black Black Blue Yellow\nBlack Black Gray Black Black Orange Black Orange Purple Black Black Black\nRed Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Purple Black Black Pink Black Orange Black Yellow Orange Black\nBlack Black Black Purple Green Purple Green Black Black Yellow Black Blue\nOrange Black Black Orange Black Black Brown Pink Black Brown Pink Yellow\n\n\nExample 2\nInput:\nBlack Black Red Black Red Brown Black Black Brown Brown\nBlack Purple Black Orange Black Black Yellow Black Orange Black\nBlack Purple Black Black Black Blue Purple Black Gray Pink\nBlack Black Black Yellow Black Black Black Black Brown Black\nBlack Purple Yellow Black Black Black Red Brown Black Pink\nPink Black Purple Blue Black Black Black Green Pink Green\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Blue Black Black Black Black Black Black Black Black\nGreen Pink Green Black Black Black Blue Purple Black Pink\nPink Black Brown Red Black Black Black Yellow Purple Black\nBlack Brown Black Black Black Black Yellow Black Black Black\nPink Gray Black Purple Blue Black Black Black Purple Black\nBlack Orange Black Yellow Black Black Orange Black Purple Black\nBrown Brown Black Black Brown Red Black Red Black Black\n\n\nExample 3\nInput:\nBlack Red Black Blue Pink Gray Black Black Yellow Black Black\nBlack Black Brown Black Black Black Orange Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black\nBlack Orange Brown Blue Yellow Black Black Black Black Black Brown\nBlack Black Black Gray Black Black Gray Brown Black Black Black\nBlack Black Blue Purple Red Black Black Black Black Brown Yellow\nGreen Yellow Black Black Black Gray Brown Yellow Gray Black Black\n\nOutput:\nBlack Black Gray Yellow Brown Gray Black Black Black Yellow Green\nYellow Brown Black Black Black Black Red Purple Blue Black Black\nBlack Black Black Brown Gray Black Black Gray Black Black Black\nBrown Black Black Black Black Black Yellow Blue Brown Orange Black\nBlack Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Orange Black Black Black Brown Black Black\nBlack Black Yellow Black Black Gray Pink Blue Black Red Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Blue Black Gray Black Black\nOrange Black Purple Black Black Black Gray Black Pink\nBlack Black Black Black Purple Black Red Green Black\nBlack Purple Black Black Black Black Brown Black Black\nBlue Black Yellow Black Purple Yellow Blue Orange Black\nBlack Black Black Red Black Black Orange Brown Black\nOrange Black Yellow Gray Gray Black Black Brown Black\nPink Black Black Pink Black Black Black Pink Purple\nBlue Gray Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Black Black Black Black Gray Blue\nPurple Pink Black Black Black Pink Black Black Pink\nBlack Brown Black Black Gray Gray Yellow Black Orange\nBlack Brown Orange Black Black Red Black Black Black\nBlack Orange Blue Yellow Purple Black Yellow Black Blue\nBlack Black Brown Black Black Black Black Purple Black\nBlack Green Red Black Purple Black Black Black Black\nPink Black Gray Black Black Black Purple Black Orange\nBlack Black Gray Black Blue Black Black Black Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack 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 Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Green Green Green Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Green Green Green Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Green Green Green Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Red Red Red Orange Orange Orange Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Red Red Red Orange Orange Orange Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Red Red Red Orange Orange Orange Blue Blue Blue\nBrown Brown Brown Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\n\nOutput:\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black\nOrange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black\nOrange Orange Orange Orange Orange Orange Green Green Green Green Green Green Black Black Black\nOrange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black\n\nOutput:\nYellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Black Black Black\nYellow Yellow Yellow Gray Gray Gray Black Black Black\nYellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Orange Orange Orange\nBlack Black Black Black Black Black Purple Purple Purple Orange Orange Orange\nBlack Black Black Black Black Black Purple Purple Purple Orange Orange Orange\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\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nRed Red Red Orange Orange Orange Black Black Black Black Black Black\nRed Red Red Orange Orange Orange Black Black Black Black Black Black\nRed Red Red Orange Orange Orange Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Blue Orange Brown Orange Orange Purple\nGreen Orange Pink Orange Green Orange Pink Purple\nOrange Orange Gray Orange Green Orange Yellow Purple\nBlue Orange Purple Orange Orange Orange Pink Purple\nPurple Orange Orange Orange Orange Orange Brown Purple\nGreen Orange Yellow Orange Brown Orange Purple Purple\nGreen Orange Purple Orange Orange Orange Gray Purple\nGreen Orange Red Orange Gray Orange Pink Purple\n\nOutput:\nBlack Black Green Black Red Black Black Brown\nYellow Black Gray Black Yellow Black Gray Brown\nBlack Black Orange Black Yellow Black Purple Brown\nGreen Black Brown Black Black Black Gray Brown\nBrown Black Black Black Black Black Red Brown\nYellow Black Purple Black Red Black Brown Brown\nYellow Black Brown Black Black Black Orange Brown\nYellow Black Pink Black Orange Black Gray Brown\n\n\nExample 2\nInput:\nPink Brown Brown Purple Brown Purple Gray Blue Yellow Orange\nGreen Brown Pink Purple Gray Purple Red Blue Blue Orange\nGreen Brown Orange Purple Brown Purple Orange Blue Red Orange\nYellow Brown Blue Purple Brown Purple Brown Blue Green Orange\nYellow Brown Orange Purple Purple Purple Blue Blue Pink Orange\n\nOutput:\nGray Red Red Brown Red Brown Orange Green Purple Black\nYellow Red Gray Brown Orange Brown Pink Green Green Black\nYellow Red Black Brown Red Brown Black Green Pink Black\nPurple Red Green Brown Red Brown Red Green Yellow Black\nPurple Red Black Brown Brown Brown Green Green Gray Black\n\n\nExample 3\nInput:\nGray Red Gray Blue Purple Blue Pink Orange Blue Brown Gray\nGray Yellow Gray Blue Purple Purple Pink Purple Blue Yellow Gray\nGray Pink Gray Brown Purple Yellow Pink Pink Blue Yellow Gray\nGray Purple Gray Green Purple Orange Pink Orange Blue Red Gray\nGray Orange Gray Orange Purple Green Pink Gray Blue Green Gray\n\nOutput:\nOrange Pink Orange Green Brown Green Gray Black Green Red Orange\nOrange Purple Orange Green Brown Brown Gray Brown Green Purple Orange\nOrange Gray Orange Red Brown Purple Gray Gray Green Purple Orange\nOrange Brown Orange Yellow Brown Black Gray Black Green Pink Orange\nOrange Black Orange Black Brown Yellow Gray Orange Green Yellow Orange\n\n\nHere is the input grid for the test example:\nInput:\nPurple Pink Orange Pink Pink Gray Pink Gray Pink\nPurple Gray Orange Pink Pink Pink Pink Green Pink\nPurple Blue Orange Purple Pink Gray Pink Pink Pink\nPurple Red Orange Brown Pink Pink Pink Brown Pink\nPurple Pink Orange Yellow Pink Brown Pink Gray Pink\nPurple Brown Orange Blue Pink Brown Pink Brown Pink\nPurple Red Orange Orange Pink Orange Pink Blue Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Gray Black Gray Gray Orange Gray Orange Gray\nBrown Orange Black Gray Gray Gray Gray Yellow Gray\nBrown Green Black Brown Gray Orange Gray Gray Gray\nBrown Pink Black Red Gray Gray Gray Red Gray\nBrown Gray Black Purple Gray Red Gray Orange Gray\nBrown Red Black Green Gray Red Gray Red Gray\nBrown Pink Black Black Gray Black Gray Green Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown 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 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 Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Pink Pink\nBlack Brown Brown Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Purple 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 Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Red Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\n\nOutput:\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 Black Black Black\nBlack Black Black Black Black Yellow Black Black Red Black\nBlack Black Black Black Black Yellow Black Black Red Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Pink Pink Black Black Black Black Black\nBlack Gray Gray Pink Pink Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black 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 Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Gray Pink Pink Black Black Black Black Black\nBlack Gray Gray Pink Pink Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black 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 Gray Gray Blue Black Black Black\nBlack Black Black Black Gray Gray Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Purple Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink 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 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 Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow 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\nBlack Black Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Green Green Green Purple Purple Purple\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Green Green Green Purple Purple Purple\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Green Green Green Purple Purple Purple\nGreen Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nGreen Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nGreen Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black\nPurple Purple Purple Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black\nPurple Purple Purple Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Black Black Black Pink Pink Pink\nBlue Blue Blue Yellow Yellow Yellow Orange Orange Orange Red Red Red Black Black Black Orange Orange Orange Purple Purple Purple Blue Blue Blue Green Green Green Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Orange Orange Orange Red Red Red Black Black Black Orange Orange Orange Purple Purple Purple Blue Blue Blue Green Green Green Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Orange Orange Orange Red Red Red Black Black Black Orange Orange Orange Purple Purple Purple Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Pink Pink Pink Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Pink Pink Pink Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Pink Pink Pink Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nPink Pink Pink Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Green Green Green Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Green Green Green Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Green Green Green Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Pink Pink Pink Orange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Orange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Orange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Purple Purple Purple\nBlue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Red Red Red Gray Gray Gray\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Red Red Red Gray Gray Gray\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Red Red Red Gray Gray Gray\nBlack Black Black Black Black Black Red Red Red Brown Brown Brown Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Brown Brown Brown Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Brown Brown Brown Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Green Green Green 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 Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Orange Orange Orange Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Orange Orange Orange Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Orange Orange Orange Red Red Red\nGreen Green Green Green Green Green Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black\nGreen Green Green Green Green Green Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black\nGreen Green Green Green Green Green Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Green Green Green Red Red Red\nBlack Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Green Green Green Red Red Red\nBlack Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Green Green Green Red Red Red\nPurple Purple Purple Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Black Black Black Brown Brown Brown\nPurple Purple Purple Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Black Black Black Brown Brown Brown\nPurple Purple Purple Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Red Red Red Black Black Black Blue Blue Blue Brown Brown Brown\nBlack Black Black Black Black Black Purple Purple Purple Red Red Red Black Black Black Blue Blue Blue Brown Brown Brown\nBlack Black Black Black Black Black Purple Purple Purple Red Red Red Black Black Black Blue Blue Blue Brown Brown Brown\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Purple Purple Purple Brown Brown Brown\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Purple Purple Purple Brown Brown Brown\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Purple Purple Purple Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Purple Purple Purple Black Black Black Brown Brown Brown Gray Gray Gray Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Green Green Green Purple Purple Purple Black Black Black Brown Brown Brown Gray Gray Gray Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Green Green Green Purple Purple Purple Black Black Black Brown Brown Brown Gray Gray Gray Black Black Black Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nPurple Purple Purple Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green\nPurple Purple Purple Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green\nPurple Purple Purple Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green\n\nOutput:\nPurple Purple Purple Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black\nRed Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nRed Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nRed Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nPink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nPink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nPink Pink Pink Brown Brown Brown 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 Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Black Black Black Gray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Black Black Black Gray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Black Black Black Gray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray\nGreen Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nGreen Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nGreen Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Red Red Red Green Green Green Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Red Red Red Green Green Green Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Red Red Red Green Green Green Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black\nYellow Yellow Yellow Black Black Black Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Black Black Black\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Blue Blue Blue Gray Gray Gray\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Blue Blue Blue Gray Gray Gray\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Blue Blue Blue Gray Gray Gray\nPurple Purple Purple Brown Brown Brown Black Black Black Gray Gray Gray Pink Pink Pink Green Green Green Black Black Black Gray Gray Gray Black Black Black\nPurple Purple Purple Brown Brown Brown Black Black Black Gray Gray Gray Pink Pink Pink Green Green Green Black Black Black Gray Gray Gray Black Black Black\nPurple Purple Purple Brown Brown Brown Black Black Black Gray Gray Gray Pink Pink Pink Green Green Green Black Black Black Gray Gray Gray Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray\nPurple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray\nPurple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray\nBrown Brown Brown Pink Pink Pink Gray Gray Gray Red Red Red Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Pink Pink Pink Gray Gray Gray Red Red Red Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Pink Pink Pink Gray Gray Gray Red Red Red Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black\nPink Pink Pink Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Brown Brown Brown Purple Purple Purple Black Black Black Blue Blue Blue\nPink Pink Pink Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Brown Brown Brown Purple Purple Purple Black Black Black Blue Blue Blue\nPink Pink Pink Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Brown Brown Brown Purple Purple Purple Black Black Black Blue Blue Blue\nGreen Green Green Pink Pink Pink Brown Brown Brown Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Black Black Black\nGreen Green Green Pink Pink Pink Brown Brown Brown Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Black Black Black\nGreen Green Green Pink Pink Pink Brown Brown Brown Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black Gray Gray Gray\nBlack Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black Gray Gray Gray\nBlack Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black Gray Gray Gray\nGray Gray Gray Blue Blue Blue Pink Pink Pink Orange Orange Orange Black Black Black Blue Blue Blue Green Green Green Blue Blue Blue Black Black Black\nGray Gray Gray Blue Blue Blue Pink Pink Pink Orange Orange Orange Black Black Black Blue Blue Blue Green Green Green Blue Blue Blue Black Black Black\nGray Gray Gray Blue Blue Blue Pink Pink Pink Orange Orange Orange Black Black Black Blue Blue Blue Green Green Green Blue Blue Blue 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\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\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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Brown Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Blue Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue\nRed Red Red Red Black Black Black Black Black Black Black Black Blue Blue Black\nRed Red Red Red Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Orange Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Orange Orange Orange Black\nBlack Black Black Black Black Black Black Blue Black Black Blue 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Red Red Red Red Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red 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 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\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Green Brown Gray Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Gray Blue\n\n\nExample 2\nInput:\nBlack Black Black Pink Gray Purple Orange\n\nOutput:\nBlack Black Black Gray Gray Purple Orange\n\n\nExample 3\nInput:\nBlack Green Red Gray Orange Blue Pink\n\nOutput:\nBlack Red Red Gray Orange Blue Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Purple Green Orange Blue Brown Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Green Green Orange Blue Brown Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Brown Pink Black Brown Pink Yellow\nBlack Black Black Black Black Black Orange Black Black Orange Black Black\nBlack Black Black Black Black Black Green Black Black Yellow Black Blue\nBlack Black Black Black Black Black Black Black Black Purple Green Purple\nBlack Black Black Black Black Black Black Orange Black Yellow Orange Black\nBlack Black Black Black Black Black Black Black Purple Black Black Pink\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\n\nOutput:\nYellow Pink Brown Black Pink Brown Brown Pink Black Brown Pink Yellow\nBlack Black Orange Black Black Orange Orange Black Black Orange Black Black\nBlue Black Yellow Black Black Green Green Black Black Yellow Black Blue\nPurple Green Purple Black Black Black Black Black Black Purple Green Purple\nBlack Orange Yellow Black Orange Black Black Orange Black Yellow Orange Black\nPink Black Black Purple Black Black Black Black Purple Black Black Pink\nBlack Black Black Pink Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Brown Brown Black Black Brown\nBlack Black Black Black Black Black Orange Black Purple Black\nBlack Black Black Black Black Black Orange Black Yellow Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Pink Gray Black Purple Blue\nBlack Black Black Black Black Black Yellow Black Black Black\n\nOutput:\nBlack Black Red Black Red Red Black Red Black Black\nBrown Black Black Brown Brown Brown Brown Black Black Brown\nBlack Purple Black Orange Black Black Orange Black Purple Black\nBlack Yellow Black Orange Black Black Orange Black Yellow Black\nBlack Purple Black Black Black Black Black Black Purple Black\nBlue Purple Black Gray Pink Pink Gray Black Purple Blue\nBlack Black Black Yellow Black Black Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Pink Blue Black Red Black\nBlack Black Black Black Black Black Black Yellow Black Black Gray\nBlack Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black\n\nOutput:\nBlack Red Black Blue Pink Black Pink Blue Black Red Black\nGray Black Black Yellow Black Black Black Yellow Black Black Gray\nBlack Black Black Brown Black Black Black Brown Black Black Black\nBlack Black Orange Black Black Black Black Black Orange Black Black\nBlack Black Black Black Brown Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black 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 Gray\nBlack Black Black Black Black Black Gray Black Blue\nBlack Black Black Black Black Purple Black Orange Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Black Black Black Black Black Black Gray\nBlue Black Gray Black Black Black Gray Black Blue\nBlack Orange Black Purple Black Purple Black Orange Black\nBlack Black Black Gray Black Gray Black Black Black\nBlack Pink Black Black Black Black Black Pink Black\nBlack Black Purple Black Black Black Purple Black Black\nRed Green Black Black Black Black Black Green Red\nPurple Black Black Black Black Black Black Black Purple\nBlack Brown Black Black Black Black Black Brown Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Pink Pink Purple Purple Purple Brown Brown Purple Brown Purple Purple\nPurple Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Purple Purple\nPurple Pink Pink Pink Pink Purple Purple Brown Brown Brown Purple Purple Purple\nPurple Purple Pink Pink Purple Purple Purple Brown Purple Brown Brown Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Brown Brown Black Brown Black Black\nBlack Pink Pink Pink Pink Black Black Black Brown Brown Brown Black Black\nBlack Pink Pink Pink Pink Black Black Brown Brown Brown Black Black Black\nBlack Black Pink Pink Black Black Black Brown Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Green Green Green Green Purple Purple Purple Purple Purple\nPurple Purple Purple Green Green Green Green Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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 Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Red Red Red Red Purple\nPurple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple\nPurple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Brown Brown Purple\nPurple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Brown Purple\nPurple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Brown Brown Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Brown Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\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\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 Yellow 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\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\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Brown Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Green Green Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Green Green Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Green Green Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Green Green Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Black Black\nBlack Black Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Black Black\nBlack Black Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Black Black\nBlack Black Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Black Black\nBlack Black Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Black Black\nBlack Black Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Black Black Black Black\nBlack Black Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Black Black Black Black\nBlack Black Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Black Black Black Black\nBlack Black Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Black Black Black Black\nBlack Black Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Black Black Black Black\nBlack Black Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Black Black Black Black\nBlack Black Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Black Black Black Black\nBlack Black Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Gray Gray Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Gray Gray Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Gray Gray Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Gray Gray Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Black Red Black Blue Black Red Black Red Black Blue\nBlue Black Red Black Blue Black Red Black Blue Black Red Black\nBlack Blue Black Red Black Blue Black Blue Black Blue Black Blue\nBlue Black Red Black Red Black Red Black Red Black Red Black\nBlack Red Black Red Black Red Black Red Black Red Black Red\nRed Black Blue Black Red Black Blue Black Blue Black Blue Black\nBlack Red Black Blue Black Red Black Red Black Red Black Blue\nRed Black Blue Black Blue Black Blue Black Blue Black Blue Black\n\nOutput:\nBlack Yellow Black Yellow Black Green Black Yellow Black Yellow Black Green\nGreen Black Yellow Black Green Black Yellow Black Green Black Yellow Black\nBlack Green Black Yellow Black Green Black Green Black Green Black Green\nGreen Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Green Black Yellow Black Green Black Green Black Green Black\nBlack Yellow Black Green Black Yellow Black Yellow Black Yellow Black Green\nYellow Black Green Black Green Black Green Black Green Black Green Black\n\n\nExample 2\nInput:\nBlue Black Blue Black Red Black Blue Black Red Black\nBlack Red Black Blue Black Red Black Red Black Blue\nBlue Black Red Black Blue Black Blue Black Red Black\nBlack Blue Black Blue Black Blue Black Red Black Red\nRed Black Red Black Blue Black Blue Black Blue Black\nBlack Red Black Red Black Blue Black Blue Black Blue\nBlue Black Blue Black Red Black Blue Black Red Black\n\nOutput:\nGreen Black Green Black Yellow Black Green Black Yellow Black\nBlack Yellow Black Green Black Yellow Black Yellow Black Green\nGreen Black Yellow Black Green Black Green Black Yellow Black\nBlack Green Black Green Black Green Black Yellow Black Yellow\nYellow Black Yellow Black Green Black Green Black Green Black\nBlack Yellow Black Yellow Black Green Black Green Black Green\nGreen Black Green Black Yellow Black Green Black Yellow Black\n\n\nExample 3\nInput:\nRed Black Blue Black Red Black Blue Black Blue Black Blue\nBlack Blue Black Blue Black Blue Black Red Black Blue Black\nRed Black Red Black Blue Black Red Black Blue Black Blue\nBlack Red Black Blue Black Blue Black Blue Black Blue Black\nBlue Black Red Black Red Black Blue Black Blue Black Blue\nBlack Blue Black Blue Black Red Black Red Black Red Black\nBlue Black Red Black Red Black Blue Black Blue Black Red\n\nOutput:\nYellow Black Green Black Yellow Black Green Black Green Black Green\nBlack Green Black Green Black Green Black Yellow Black Green Black\nYellow Black Yellow Black Green Black Yellow Black Green Black Green\nBlack Yellow Black Green Black Green Black Green Black Green Black\nGreen Black Yellow Black Yellow Black Green Black Green Black Green\nBlack Green Black Green Black Yellow Black Yellow Black Yellow Black\nGreen Black Yellow Black Yellow Black Green Black Green Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Blue Black Red Black Blue Black Blue\nBlack Red Black Red Black Red Black Blue Black\nBlue Black Red Black Red Black Blue Black Blue\nBlack Blue Black Red Black Red Black Blue Black\nRed Black Red Black Blue Black Blue Black Blue\nBlack Red Black Blue Black Blue Black Blue Black\nRed Black Blue Black Blue Black Red Black Blue\nBlack Blue Black Red Black Blue Black Red Black\nRed Black Red Black Red Black Blue 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```\nGreen Black Green Black Yellow Black Green Black Green\nBlack Yellow Black Yellow Black Yellow Black Green Black\nGreen Black Yellow Black Yellow Black Green Black Green\nBlack Green Black Yellow Black Yellow Black Green Black\nYellow Black Yellow Black Green Black Green Black Green\nBlack Yellow Black Green Black Green Black Green Black\nYellow Black Green Black Green Black Yellow Black Green\nBlack Green Black Yellow Black Green Black Yellow Black\nYellow Black Yellow Black Yellow Black Green Black Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Purple Yellow Yellow Purple Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Purple Yellow Yellow Purple Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Blue\nBlack Black Black Black Black Green Green Green Pink Pink Black Pink Pink Black Black Black\nBlack Black Black Black Black Green Green Green Pink Pink Black Pink Black Black Black Black\nBlack Black Black Black Black Green Green Blue Blue Pink Black Black Black Black Black Black\nBlack Black Black Green Black Black Blue Blue Black Black Black Black Black Black Gray Gray\nBlack Green Green Green Black Black Black Black Black Black Black Green Gray Gray Red Gray\nBlack Black Yellow Green Black Black Black Black Black Black Black Green Gray Gray Gray Red\nBlack Yellow Yellow Black Orange Gray Black Black Black Black Black Black Green Gray Gray Gray\nBlack Black Black Brown Orange Orange Gray Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Brown Black Orange Black Black Black Black Black Black Black Black Pink Green\nYellow Black Brown Black Brown Black Black Black Black Black Black Black Black Pink Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Pink Black Pink Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Red Red Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Green Black Orange Black Orange Pink Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Green Green Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Pink Pink Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Green Green Green Pink Pink Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Pink Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Green Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Green Green Green Black Gray Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Green Black Green Gray Blue Gray Black Black Black Black Black Black Black Black\nOrange Orange Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Green Yellow Black Black Black Black\nOrange Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Black Black Black\nOrange Orange Black Blue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Green Black Green Black Black Black Black Black\nRed Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black 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\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Orange Gray Gray Black Brown Brown Black Black Black Black Black Gray Gray Gray Pink Pink Blue Blue\nBlack Black Gray Black Brown Brown Brown Black Black Black Black Black Gray Black Pink Pink Black Pink Pink\nBlack Black Black Black Brown Brown Brown 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 Black Black Black Yellow Black\nBlack Black Black Red Black Blue Green Black Black Black Black Black Black Black Orange Black Yellow Black Black\nBlack Red Red Red Yellow Blue Green Green Black Black Black Black Black Orange Orange Black Black Yellow Black\nBlack Red Yellow Yellow Black Purple Purple Green Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Yellow Black Black Black Green Green Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Green Black Green Green Green Black Black Black Black Yellow Yellow Green Green Black\nBlack Purple Black Black Black Green Black Green Black Black Black Black Black Black Yellow Black Green Green Orange\nPurple Purple Black Black Green Black Black Black Black Black Black Black Black Black Black Black Green Orange Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple 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\nBlack Black Gray Gray Black Gray Pink Pink Black Black Black Black\nBlack Black Gray Gray Gray Gray Pink Pink Black Black Gray Gray\nBlack Black Black Black Gray Purple Gray Black Black Gray Purple Gray\nBlack Black Black Black Purple Black Purple Black Black Black Purple Purple\nBlack Black Black Purple Purple Purple Black Black Brown Brown Black Black\nBlack Black Black Purple Black Purple Black Brown Brown Brown Black Black\nBlack Black Black Purple Black Purple Purple Blue Blue Black Black Black\nBlue Black Blue Purple Purple Purple Yellow Blue Blue Gray Black Pink\nBlue Blue Blue Black Yellow Yellow Red Blue Blue Gray 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue 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:\nPurple Purple Purple Purple Purple Purple Purple\nGray Purple Brown Pink Yellow Pink Orange\nPink Pink Pink Pink Pink Pink Pink\nBrown Orange Orange Green Green Brown Orange\nOrange Orange Orange Orange Orange Orange Orange\n\nOutput:\nPurple Black Purple Black Purple Black Purple\nBlack Pink Black Pink Black Pink Black\nOrange Black Orange Black Orange Black Orange\nBlack Purple Black Purple Black Purple Black\nPink Black Pink Black Pink Black Pink\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange\nPink Green Red Blue Yellow\nBlue Blue Blue Blue Blue\nBlue Brown Orange Red Gray\nPurple Purple Purple Purple Purple\nPurple Brown Brown Gray Brown\n\nOutput:\nOrange Black Orange Black Orange\nBlack Blue Black Blue Black\nPurple Black Purple Black Purple\nBlack Orange Black Orange Black\nBlue Black Blue Black Blue\nBlack Purple Black Purple Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray\nBlue Green Red Yellow Yellow Brown\nOrange Orange Orange Orange Orange Orange\nBlue Pink Gray Orange Pink Purple\nPurple Purple Purple Purple Purple Purple\nBlue Blue Purple Green Orange Yellow\n\nOutput:\nBlack Gray Black Gray Black Gray\nOrange Black Orange Black Orange Black\nBlack Purple Black Purple Black Purple\nGray Black Gray Black Gray Black\nBlack Orange Black Orange Black Orange\nPurple Black Purple Black Purple Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink\nBrown Pink Green Gray\nGray Gray Gray Gray\nGray Pink 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```\nBlack Pink Black Pink\nGray Black Gray Black\nBlack Pink Black Pink\nGray Black Gray Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black\nBlack 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 Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Blue Black Black Red Black Black Black Red\nBlack Black Red Blue Red Black Red Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Red\nRed Black Red Black Black Blue Black Blue Red Black\nBlack Red Black Black Black Red Blue Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Blue\nBlack Red Black Black Blue Red Black Black Black Black\nBlack Blue Black Black Black Blue Black Blue Black Blue\nBlack Black Blue Black Black Red Blue Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Blue Blue Black Red Black Blue Black Black\nBlack Black Black Black Red Blue Red Black Black Red\nBlack Black Red Blue Blue Black Blue Black Black Red\nBlack Black Red Black Blue Black Blue Black Black Blue\nBlack Black Blue Black Black Black Black Blue Black Black\nBlack Red Black Black Black Red Blue Black Black Black\nBlack Red Black Black Black Red Black Blue Black Blue\nBlack Blue Black Black Black Blue Black Black Black Black\nRed Black Black Black Black Red Black Black Red Black\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Red Blue Black Blue Black Blue Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Red\nBlack Blue Black Blue Black Blue Black Black Black Blue\nBlack Black Blue Red Black Black Black Red Black Black\nBlack Black Black Blue Black Black Black Black Red Black\nBlack Black Blue Black Blue Red Blue Red Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Red\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Red Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Black Blue Black Blue Black Black Black\nBlack Blue Black Black Black Black Black Black Black Red\nBlack Black Blue Black Black Black Black Black Black Blue\nBlack Blue Black Red Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Red Black Black\nRed Black Black Black Black Red Black Red Red Red\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Red Blue Red Black Black Black Black\nRed Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Red Black Red\nBlack Black Black Black Red Black Red Black Black Black\nBlue Black Black Black Blue Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Blue Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Blue Black Black Blue Black Black Black Blue Black\nRed Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Red Black Red\nRed Red Black Red Black Red Red Red Black Red\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Blue Red Black Red Black Black Blue\nBlue Black Blue Black Black Red Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Blue Black Blue Red Black Red Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Blue Black Blue Red Black Black Blue Red Blue\nBlack Red Blue Red Black Black Black Black Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Red Red Black Black Black Black Black\nBlack Black Black Blue Red Black Red Black Red Black\nBlack Red Black Red Red Red Red Black Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Pink Black Brown Brown Black Black\nBlack Black Black Pink Pink Pink Pink Brown Brown Brown Brown Black\nBlack Black Black Pink Pink Pink Pink Brown Brown Brown Brown Black\nBlack Black Black Black Pink Black Black Black Brown Brown Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Black Pink Black Brown Brown Black\nBlack Black Pink Pink Pink Pink Brown Brown Brown Brown\nBlack Black Pink Pink Pink Pink Brown Brown Brown Brown\nBlack Black Black Pink Black Black Black Brown Brown Black\nPurple Purple Purple Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Red Red Red\nBlack Black Red Red Red Red Red\nBlack Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Black Black Black\nBlack Blue Blue Black Black Black Black\nBlue Blue Blue Black Black Black Black\nBlue Blue Blue Black Black Black Black\nBlack Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Green Black Black Brown Brown Black Black Black Black\nBlack Black Green Green Green Black Brown Brown Black Black Black Black\nBlack Black Black Green Black Black Brown Brown Black Black Black Black\n\nOutput:\nBlack Red Red Red Red Black\nBlack Red Red Red Black Red\nBlack Red Red Red Red Red\nBlack Red Red Red Red Red\nBlack Black Red Red Red Red\nBlack Black Black Black Black Black\nBlack Black Black Black Brown Brown\nBlack Green Black Black Brown Brown\nGreen Green Green Black Brown Brown\nBlack Green Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown\nBlack Pink Pink Pink Black Gray Black Black Black Black Black Brown\nBlack Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown 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```\nGray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown\nPink Pink Pink Black Gray Black Black Black Black Black Brown\nBlack Black Pink 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 Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Brown Black Black\n```",
"role": "assistant"
}
] |