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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow 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 Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\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 Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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"
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{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black\nBlack Orange Black Orange Black Orange Black Orange\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange 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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Black Orange Black Orange Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange 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\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 Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nGray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGray Black Gray Black Gray Black Gray\nBlack Black Black Black Black Black Black\nGray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGray 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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Black Pink Black Pink Black Pink Black Pink\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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Blue Blue Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Purple Black Black\nBlack Black Black Black Black Black Yellow Yellow Purple Black Black\nBlack Black Black Black Black Blue Blue Purple Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Brown Brown Black Black\nBlack Black Black Black Brown Brown Black Black\nBlack Black Black Black Brown Brown Black Black\nBlack Black Black Red Brown Brown 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 Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black\nBlack Black Red Black Brown Red Black Black\nBlack Black Black Red Brown Brown Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Red Red Pink Black\nBlack Black Black Pink Purple Purple Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Pink Red Pink Pink Black\nBlack Black Black Pink Purple Red Purple Black\nBlack Black Black Black Black Red Purple Black\nBlack Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\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 Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Yellow 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"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Blue Blue Yellow Black Black Black Black Black\nBlack Black Black Yellow 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```",
"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 Gray Gray Gray Red Red Yellow Red\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Brown\nBlack Black Black Black Black Black Black Black Gray Yellow Yellow Yellow Yellow Yellow Brown\nBlack Black Black Black Black Black Black Black Brown Red Gray Red Yellow Red Gray\nBlack Black Black Black Black Black Black Black Brown Gray Brown Brown Yellow Brown Brown\nBlack Black Black Black Black Black Black Black Brown Gray Yellow Gray Yellow Brown Red\nBlack Black Black Black Black Black Black Black Gray Yellow Red Red Yellow Gray Yellow\nBlack Black Black Black Black Black Black Black Gray Yellow Yellow Brown Yellow Yellow Gray\n\nOutput:\nRed Yellow Red Red Gray Gray Gray Black Gray Gray Gray Red Red Yellow Red\nBrown Red Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Red Brown\nBrown Yellow Yellow Yellow Yellow Yellow Gray Black Gray Yellow Yellow Yellow Yellow Yellow Brown\nGray Red Yellow Red Gray Red Brown Black Brown Red Gray Red Yellow Red Gray\nBrown Brown Yellow Brown Brown Gray Brown Black Brown Gray Brown Brown Yellow Brown Brown\nRed Brown Yellow Gray Yellow Gray Brown Black Brown Gray Yellow Gray Yellow Brown Red\nYellow Gray Yellow Red Red Yellow Gray Black Gray Yellow Red Red Yellow Gray Yellow\nGray Yellow Yellow Brown Yellow Yellow Gray Black Gray Yellow Yellow Brown Yellow Yellow Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Purple Purple Gray Orange Gray Purple\nBlack Black Black Black Black Black Black Gray Orange Orange Purple Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Purple Gray Gray Gray\nBlack Black Black Black Black Black Black Purple Orange Gray Orange Gray Purple\nBlack Black Black Black Black Black Black Orange Orange Orange Gray Gray Orange\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Orange Purple Gray Orange Purple Orange\n\nOutput:\nPurple Gray Orange Gray Purple Purple Black Purple Purple Gray Orange Gray Purple\nGray Gray Purple Orange Orange Gray Black Gray Orange Orange Purple Gray Gray\nGray Gray Gray Purple Gray Gray Black Gray Gray Purple Gray Gray Gray\nPurple Gray Orange Gray Orange Purple Black Purple Orange Gray Orange Gray Purple\nOrange Gray Gray Orange Orange Orange Black Orange Orange Orange Gray Gray Orange\nPurple Purple Orange Orange Orange Orange Black Orange Orange Orange Orange Purple Purple\nOrange Purple Orange Gray Purple Orange Black Orange Purple Gray Orange Purple Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Pink Red Red Orange Orange Pink Blue\nBlack Black Black Black Black Black Black Red Blue Red Pink Gray Pink Blue\nBlack Black Black Black Black Black Black Red Orange Red Pink Orange Pink Gray\nBlack Black Black Black Black Black Black Red Pink Blue Red Gray Red Blue\nBlack Black Black Black Black Black Black Blue Gray Gray Blue Red Gray Orange\nBlack Black Black Black Black Black Black Pink Pink Pink Orange Red Orange Orange\nBlack Black Black Black Black Black Black Gray Pink Blue Blue Red Pink Orange\n\nOutput:\nBlue Pink Orange Orange Red Red Pink Pink Red Red Orange Orange Pink Blue\nBlue Pink Gray Pink Red Blue Red Red Blue Red Pink Gray Pink Blue\nGray Pink Orange Pink Red Orange Red Red Orange Red Pink Orange Pink Gray\nBlue Red Gray Red Blue Pink Red Red Pink Blue Red Gray Red Blue\nOrange Gray Red Blue Gray Gray Blue Blue Gray Gray Blue Red Gray Orange\nOrange Orange Red Orange Pink Pink Pink Pink Pink Pink Orange Red Orange Orange\nOrange Pink Red Blue Blue Pink Gray Gray Pink Blue Blue Red Pink Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Orange Red Orange Purple Orange Brown\nBlack Black Black Black Black Black Brown Yellow Brown Red Yellow Brown\nBlack Black Black Black Black Black Red Yellow Red Red Orange Orange\nBlack Black Black Black Black Black Yellow Orange Purple Red Yellow Purple\nBlack Black Black Black Black Black Red Purple Brown Purple Brown Orange\nBlack Black Black Black Black Black Brown Purple Yellow Red Orange Red\nBlack Black Black Black Black Black Orange Orange Brown Orange Red Brown\nBlack Black Black Black Black Black Yellow Orange Red Yellow Purple Red\nBlack Black Black Black Black Black Red Yellow Red Brown 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```\nBrown Orange Purple Orange Red Orange Orange Red Orange Purple Orange Brown\nBrown Yellow Red Brown Yellow Brown Brown Yellow Brown Red Yellow Brown\nOrange Orange Red Red Yellow Red Red Yellow Red Red Orange Orange\nPurple Yellow Red Purple Orange Yellow Yellow Orange Purple Red Yellow Purple\nOrange Brown Purple Brown Purple Red Red Purple Brown Purple Brown Orange\nRed Orange Red Yellow Purple Brown Brown Purple Yellow Red Orange Red\nBrown Red Orange Brown Orange Orange Orange Orange Brown Orange Red Brown\nRed Purple Yellow Red Orange Yellow Yellow Orange Red Yellow Purple Red\nRed Brown Brown Red Yellow Red Red Yellow Red Brown Brown Red\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black\nBlack Brown Brown Brown Black Purple Pink Pink Pink Black\nBlack Brown Brown Brown Black Purple Pink Pink Pink Black\nBlack Black Black Black Black Purple Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black\nBlack Brown Brown Brown Brown Brown Orange Black Black Black\nBlack Brown Brown Brown Brown Gray Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Gray Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Gray Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Gray Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Brown Brown Brown Brown Brown\nBlack Black Black Orange Orange Brown Brown Brown Brown Brown\nBlack Black Black Orange Orange Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nOrange Orange Orange Black Black Black Black Yellow Yellow Yellow\nOrange Red Red Red Black Black Black Yellow Yellow Yellow\nOrange Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange\nBrown Brown Brown Brown Brown Black Black Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Black Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Black Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Black Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Brown Brown Brown Gray Gray Black Black\nBlack Black Black Brown Brown Brown Gray Gray Black Black\nBlack Black Black Brown Brown Brown Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black 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 Gray Gray Gray Gray Gray\nBlack Black Black Brown Brown Brown Gray Gray Gray Gray\nBlack Black Black Brown Brown Brown Gray Gray Gray Gray\nBlack Black Black Brown Brown Brown Gray Gray Gray Gray\nBlack Black Black Brown Brown Gray Gray Gray Gray Gray\nBlack Black Black Brown Brown Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black 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 Black\nBlack Black Black Black Black Black Pink Green Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Red Black Pink Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Pink Black Black Black\nBlack Black Black Red Black Brown Black Brown Black Black Red Green Black Black Black Black Yellow\nYellow Black Gray Orange Green Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Purple Black Black Green Brown Black Blue Black Red\nBlack Green Black Black Black Gray Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Purple Black Black Black Orange Black Black Black Red Black Black\nBlack Black Yellow Purple Blue Black Black Black Black Gray Yellow Black Black Black Black Gray Black\nBlack 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\n\nOutput:\nBlack Black Black Black Black Gray Black Black Green\nPurple Black Brown Black Red Gray Black Black Green\nPurple Black Brown Yellow Red Gray Pink Black Green\nPurple Black Brown Yellow Red Gray Pink Orange Green\nPurple Blue Brown Yellow Red Gray Pink Orange Green\nPurple Blue Brown Yellow Red Gray Pink Orange Green\n\n\nExample 2\nInput:\nBlack Black Black Orange Black Black Black Black Red Black Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Green Black Black Black Black Black\nOrange Black Orange 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 Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Purple Gray Black Black Black Black Black Black Black\nBlack Brown Black Gray Purple Black Black Black Black Red Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Red Black Black Black Black Black Black Green Blue Brown Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Purple\n\nOutput:\nBlack Black Black Purple Brown Black Black Red Black\nBlack Black Black Purple Brown Green Orange Red Yellow\nBlack Pink Gray Purple Brown Green Orange Red Yellow\nBlue Pink Gray Purple Brown Green Orange Red Yellow\n\n\nExample 3\nInput:\nBlack Black Black Brown Purple Black Black Black Black Black Black Blue Black Purple Black Brown\nBlack Black Red Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Gray Black Black Black Brown\nPink Black Black Black Black Black Black Gray Black Black Red Black Black Pink Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nGreen Black Black Black Black Yellow Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Brown Black Black Gray Black Black Pink Black Black Black Black\nBlack Black Orange Brown Black Black Pink Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Yellow Black Black\nBlack Pink Black Purple Black Black Black Pink Black Pink Black Black Black Black Black Pink\nBlack Black Gray Black Black Black Black Black Red Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Purple Black Black Black Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Gray Black Black Black\nBlack Black Pink Black Black Gray Black Black Brown\nBlack Black Pink Black Black Gray Black Black Brown\nBlack Black Pink Black Red Gray Black Purple Brown\nBlack Yellow Pink Green Red Gray Blue Purple Brown\nBlack Yellow Pink Green Red Gray Blue Purple Brown\nOrange Yellow Pink Green Red Gray Blue Purple Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Black Black Black Black Black Yellow Black Black Purple Brown Black\nBlack Black Black Black Red Black Pink Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Pink Black Black Black Red\nBlack Black Black Black Black Black Black Orange Black Black Black Black Green Black\nBlack Red Black Black Blue Brown Brown Black Brown Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Yellow Black Black Blue Black Black Orange\nBlack Black Black Black Black Black Purple Black Black Black Green Purple Black Pink\nBlue Black Black Brown Black Black Black Orange Black Green Black Black Black Green\nBlack Black Purple Black Black Blue Black Black Black Red Black Black Orange Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Green Black Black Black Yellow Black Black Black Black\nGray Black Orange Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Red Black Black Yellow Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Green Orange Red Black Yellow Black Brown\nBlack Blue Green Orange Red Black Yellow Purple Brown\nBlack Blue Green Orange Red Black Yellow Purple Brown\nBlack Blue Green Orange Red Pink Yellow Purple Brown\nBlack Blue Green Orange Red Pink Yellow Purple Brown\nGray Blue Green Orange Red Pink Yellow Purple Brown\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Black Purple Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple\nBlack Purple Purple Purple Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Black Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBlack Brown Brown Brown Black\nBlack Brown Black Brown Black\nBrown Brown Brown Brown Brown\nBlack Brown Brown Brown Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\nBlack Black Gray Black Gray 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 Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown 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```\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Green Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Green Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Green Black Black Brown Brown Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Pink Pink Pink Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Pink Pink Pink Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Pink Pink Pink Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\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\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 Black Black Black Black Black Black Black Black Black Purple Purple Purple Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Red Red Red\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black\nBlack Black Black 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 Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow\nGray Gray Gray Black Black Black Gray Gray Gray Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Purple Purple Purple Black Black Black Gray Gray Gray Orange Orange Orange Purple Purple Purple Black Black Black\nOrange Orange Orange Purple Purple Purple Black Black Black Gray Gray Gray Orange Orange Orange Purple Purple Purple Black Black Black\nOrange Orange Orange Purple Purple Purple Black Black Black Gray Gray Gray Orange Orange Orange Purple Purple Purple Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink\nPink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nPink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink\nPink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink\nPink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink\n\n\nExample 2\nInput:\nPink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nPink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nPink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nPink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\n\n\nExample 3\nInput:\nBlue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBlue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nBlue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBlue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBlue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Pink Pink Green Green Gray Gray Pink Pink\nBrown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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```\nBrown Brown Pink Pink Green Green Gray Gray Pink Pink\nBrown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Pink Pink Green Green Gray Gray Pink Pink\nBrown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black 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 Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow 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\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 Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green\nBlack Black Black Black Black Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Yellow Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue\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 Black Black Black Black Yellow 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 Yellow 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\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 Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nYellow Black Black Black Black Black Black Yellow Black Black\nBlue Blue Blue Blue Blue Blue Blue Green Blue Blue\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow 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 Green Black\nBlack Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Black\nBlack Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Yellow Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green 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 Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Yellow Green Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Green Black Black Yellow 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 Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Yellow Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Green Green Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red 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 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black 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\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 Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Red Yellow Yellow Black 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\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 Red Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Yellow Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Green Yellow\nBrown Pink Gray\nBrown Orange Orange\n\nOutput:\nPurple Green Yellow\nBrown Pink Gray\nBrown Orange Orange\nPurple Green Yellow\nBrown Pink Gray\nBrown Orange Orange\n\n\nExample 2\nInput:\nBlue Yellow Yellow Orange\nBlue Pink Purple Green\nOrange Blue Orange Green\nOrange Red Red Red\n\nOutput:\nBlue Yellow Yellow Orange\nBlue Pink Purple Green\nOrange Blue Orange Green\nOrange Red Red Red\nBlue Yellow Yellow Orange\nBlue Pink Purple Green\nOrange Blue Orange Green\nOrange Red Red Red\n\n\nExample 3\nInput:\nOrange Pink Pink Red\nPurple Red Orange Red\nBlue Green Gray Pink\nPurple Purple Gray Pink\n\nOutput:\nOrange Pink Pink Red\nPurple Red Orange Red\nBlue Green Gray Pink\nPurple Purple Gray Pink\nOrange Pink Pink Red\nPurple Red Orange Red\nBlue Green Gray Pink\nPurple Purple Gray Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Orange\nBlue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Orange\nBlue Blue\nYellow Orange\nBlue 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 Gray Brown Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Brown Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Purple Purple Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Brown Brown Gray Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\n\nOutput:\nGray Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray 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\nGray 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\nGray 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\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Blue Blue Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Blue Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray\nGray Black Black Gray Gray Gray\nGray Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Brown Orange Green Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Green Green Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Brown Orange Green Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
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]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black 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 Red Black Black\nBlack Black Black Black Red Black Black\nBlack Red Red Red Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Black Black Black Black Black Black\nRed 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 Red Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Red Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Red Black\nBlack Black Black Black Red Black\nBlack Red Red Red Red Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Red Black Black Black Black\nBlack Red Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Black Yellow\nBlack Yellow Black Black Black\nBlack Yellow Black Black Yellow\nBlack Black Yellow Black Yellow\nYellow Black Yellow Black Yellow\n\nOutput:\nYellow Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow\nBlack Black Black Black Black Yellow Black Yellow Black Black\nYellow Black Black Yellow Yellow Yellow Black Black Yellow Black\nBlack Yellow Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Yellow Black Yellow Black Black\nYellow Black Black Black Black Black Black Yellow Black Yellow\nBlack Black Yellow Yellow Black Black Yellow Black Black Black\nYellow Yellow Black Black Yellow Black Yellow Black Black Yellow\nBlack Black Black Black Black Black Black Yellow Black Yellow\nYellow Yellow Yellow Black Yellow Yellow Black Yellow Black Yellow\n\n\nExample 2\nInput:\nGreen Black Green Green Black\nGreen Green Green Green Green\nBlack Green Green Green Black\nGreen Green Black Black Green\nBlack Black Green Black Black\n\nOutput:\nBlack Green Black Green Black Black Black Green Black Black\nGreen Green Green Black Black Green Black Black Green Green\nGreen Green Green Black Green Black Green Green Green Black\nBlack Green Green Green Black Green Green Green Green Green\nGreen Green Black Green Black Black Green Green Black Green\nBlack Green Black Green Green Green Black Green Green Black\nBlack Green Green Green Black Green Green Green Green Green\nGreen Black Green Green Green Black Green Green Green Black\nBlack Black Green Green Green Green Green Black Black Green\nBlack Green Black Green Black Black Black Green Black Black\n\n\nExample 3\nInput:\nGreen Green Green Black Black\nGreen Black Black Black Green\nBlack Black Green Black Black\nBlack Black Green Black Black\nBlack Black Black Black Green\n\nOutput:\nBlack Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\nGreen Black Green Green Black Black Black Green Black Black\nGreen Black Black Black Black Green Black Black Black Green\nGreen Green Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Green\nBlack Green Green Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black Black\nGreen Black Black Green Black Black Black Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Black Gray Black\nGray Black Black Gray Black\nGray Black Gray Black Black\nBlack Gray Gray Gray Black\nBlack Black Black Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Gray Gray Gray Black Black Black\nGray Gray Black Gray Gray Black Gray Gray Gray Black\nBlack Black Gray Gray Black Black Black Gray Black Gray\nGray Black Black Gray Black Black Gray Black Black Gray\nGray Gray Gray Black Black Black Gray Black Gray Gray\nBlack Black Gray Gray Gray Gray Gray Black Gray Black\nBlack Gray Black Black Gray Gray Black Black Gray Black\nBlack Gray Gray Black Black Gray Black Gray Black Black\nGray Gray Black Gray Gray Black Gray Gray Gray Black\nGray Black Black Black Black Black Black Black Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Purple Blue Purple Orange\nPurple Brown Blue Brown Purple\nGray Yellow Green Yellow Gray\nGray Orange Brown Orange Gray\nRed Brown Brown Brown Red\n\nOutput:\nOrange Purple Gray Gray Red\nPurple Brown Yellow Orange Brown\nBlue Blue Green Brown Brown\nPurple Brown Yellow Orange Brown\nOrange Purple Gray Gray Red\n\n\nExample 2\nInput:\nBlue Blue Yellow Brown Yellow Blue Blue\nGray Brown Orange Orange Orange Brown Gray\nBrown Pink Pink Yellow Pink Pink Brown\nBrown Brown Blue Blue Blue Brown Brown\nOrange Orange Purple Brown Purple Orange Orange\n\nOutput:\nBlue Gray Brown Brown Orange\nBlue Brown Pink Brown Orange\nYellow Orange Pink Blue Purple\nBrown Orange Yellow Blue Brown\nYellow Orange Pink Blue Purple\nBlue Brown Pink Brown Orange\nBlue Gray Brown Brown Orange\n\n\nExample 3\nInput:\nBrown Pink Orange Orange Gray Blue Purple\nGreen Red Red Brown Yellow Purple Purple\nYellow Brown Brown Brown Purple Pink Purple\nYellow Green Brown Brown Brown Pink Pink\nYellow Brown Brown Brown Purple Pink Purple\nGreen Red Red Brown Yellow Purple Purple\nBrown Pink Orange Orange Gray Blue Purple\n\nOutput:\nPurple Purple Purple Pink Purple Purple Purple\nBlue Purple Pink Pink Pink Purple Blue\nGray Yellow Purple Brown Purple Yellow Gray\nOrange Brown Brown Brown Brown Brown Orange\nOrange Red Brown Brown Brown Red Orange\nPink Red Brown Green Brown Red Pink\nBrown Green Yellow Yellow Yellow Green Brown\n\n\nHere is the input grid for the test example:\nInput:\nYellow Orange Orange Purple Yellow Yellow Blue\nYellow Gray Gray Yellow Yellow Yellow Yellow\nPurple Gray Blue Yellow Red Brown Brown\nPink Purple Orange Blue Yellow Gray Brown\nPink Pink Red Red Yellow Yellow Brown\nPink Pink Brown Red Pink Red 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```\nBlue Yellow Brown Brown Brown Yellow\nYellow Yellow Brown Gray Yellow Red\nYellow Yellow Red Yellow Yellow Pink\nPurple Yellow Yellow Blue Red Red\nOrange Gray Blue Orange Red Brown\nOrange Gray Gray Purple Pink Pink\nYellow Yellow Purple Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Yellow Yellow Gray Green Black\nBlack Purple Pink Pink Green Black\nBlack Orange Brown Orange Orange Black\nBlack Pink Purple Brown Orange Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Green Green Orange Orange Black\nBlack Gray Pink Orange Brown Black\nBlack Yellow Pink Brown Purple Black\nBlack Yellow Purple Orange Pink Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Pink Green Orange Gray Brown Black\nBlack Orange Pink Brown Brown Pink Black\nBlack Yellow Blue Blue Brown Orange Black\nBlack Blue Gray Purple Purple Blue Black\nBlack Red Red Brown Purple Orange Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Brown Pink Orange Blue Orange Black\nBlack Gray Brown Brown Purple Purple Black\nBlack Orange Brown Blue Purple Brown Black\nBlack Green Pink Blue Gray Red Black\nBlack Pink Orange Yellow Blue Red Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Orange Red Pink Purple Blue Black\nBlack Gray Green Orange Yellow Blue Black\nBlack Brown Blue Gray Orange Brown Black\nBlack Yellow Orange Pink Green Green Black\nBlack Yellow Purple Blue Purple Orange Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Blue Blue Brown Green Orange Black\nBlack Purple Yellow Orange Green Purple Black\nBlack Pink Orange Gray Pink Blue Black\nBlack Red Green Blue Orange Purple Black\nBlack Orange Gray Brown Yellow Yellow Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Gray Green Gray Black\nBlack Pink Pink Brown Black\nBlack Gray Brown Blue Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Gray Brown Blue Black\nBlack Green Pink Brown Black\nBlack Gray Pink Gray 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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack 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 Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\n\nOutput:\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack 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 Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Orange Orange Orange Orange Black Black Black Black\nRed Red Red Red Red Red Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Green Green Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black\nPink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Gray Gray Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Brown Brown Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black\nPink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Gray Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Blue Black Black Black Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlack Black Black Blue Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlue Blue Black Black Black Black Blue Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Gray Black Black Black Blue Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Blue Black Black Black Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Black Black Black Blue Black Black Black Blue Blue Gray Blue Blue Gray Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Blue Blue Gray Blue Blue Gray Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Black Blue Black Black Black Blue Blue Gray Blue Blue Gray Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Blue Blue Gray Blue Blue Gray Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Blue Blue Gray Blue Blue Gray Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Blue Blue Gray Blue Blue Gray Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Blue Blue Black Black Blue Blue Gray Blue Blue Gray Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue\nBlack Black Blue Black Black Blue Black Black Black Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Gray Black Red Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Red\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Red Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Red Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Red Black Red Black Black Black Black 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 Red Black Black Black Black Black Red Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black 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 Black Black Black Black Black\n\nOutput:\nBlack Red Red Red Black Black Black Red Red Black Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Gray Gray Gray Red Red Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Gray Gray Gray Red Red Gray Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Gray Gray Gray Red Red Gray Red Black Black Black Black Black Black Black Black Red\nBlack Red Red Red Gray Gray Gray Red Red Gray Red Black Black Black Black Black Black Black Black Black\nGray Red Red Red Gray Gray Gray Red Red Gray Red Black Black Black Black Black Black Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Gray Gray Gray Red Red Gray Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Gray Gray Gray Red Red Gray Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Gray Gray Gray Red Red Black Red Black Black Red Red Black Black Black Black Black\nBlack Red Red Red Black Gray Black Red Red Black Red Black Red Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Red Red Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Red Red Black Red Black Black Black Black Red Black Black Black Black\nBlack Red Red Red Black Black Black Red Red Black Red Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red 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 Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Red Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Pink Pink Pink Pink Pink 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\nRed Black Black Black Black Black 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 Red Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Black Black Black Red Red Red Red Black Red Red Red Black Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Black Black Black Red Red Red Red Black Red Black Red Black Red Black Black Black Red\nRed Red Red Black Black Black Red Red Red Red Black Red Black Red Black Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Black Pink Pink Red Red Red Red Black Red Black Red Black Red Black Black Black Black\nRed Red Red Pink Pink Pink Red Red Red Red Black Red Black Red Black Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Pink Pink Pink Red Red Red Red Pink Red Black Red Black Red Black Black Black Black\nRed Red Red Pink Pink Pink Red Red Red Red Black Red Black Red Black Red Red Red Black Black\nRed Red Red Pink Pink Pink Red Red Red Red Black Red Black Red Black Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Black Black Black Red Red Red Red Black Red Black Red Black Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Black Black Black Red Red Red Red Black Red Black Red Black 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Green Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nGreen Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Black Black Black Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Yellow Yellow Yellow Green Green Black Black\nBlack Black Green Black Black Black Black Green Green Black Black Black Green Yellow Yellow Yellow Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Yellow Green Yellow Yellow Yellow Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Yellow Yellow Yellow Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Yellow Yellow Yellow Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Black Yellow Black Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Black Green Green Black Black Black Green Black Black Black Green Green Black Black\nBlack Green Black Black Black Black Black Green Green Black Black Black Green Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Black Black Black Green Green Black Green\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Black Black Black Green Green Black Black\nBlack Black Black Green Black Black Black Green Green Black Black Black Green Black Black Black Green Green Green Black\nGreen Black Black Black Black Black Black Green Green Black Black Black Green Black Black Black Green Green Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
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{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Yellow Yellow Black\nBlack Black Yellow Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Blue Blue\nBlack Black Black Black Blue\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Blue Blue\nBlack Black Black Black Blue Blue\nBlack Black Black Black Blue Blue\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Brown Black Black\nBlack Black Black Brown Black Black\nBlack Black Black Brown Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Blue Blue Blue\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Pink Pink Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Black Black Blue\nBlack Black Black Blue\nBlack Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\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\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow 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```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Black Black Black Black Black Black Purple\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nGreen Black Black Black Black Black Black Black Brown\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Black Purple\nBlack Orange Black Black Black Black Black Black Black Purple Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Green Black Black Black Black Black Black Black Brown Black\nGreen Black Black Black Black Black Black Black Black Black Brown\n\n\nExample 2\nInput:\nGreen Black Black Black Black Black Black Yellow\nBlack Black Black Green Green Green Green Black\nBlack Black Black Green Green Green Green Black\nBlack Black Black Green Green Green Green Black\nBlack Black Black Green Green Green Green Black\nPurple Black Black Black Black Black Black Gray\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Yellow\nBlack Green Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Purple Black Black Black Black Black Black Gray Black\nPurple Black Black Black Black Black Black Black Black Gray\n\n\nExample 3\nInput:\nRed Black Black Black Black Black Brown\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Black Black Black Black Black Black\nGreen Black Black Black Black Black Purple\n\nOutput:\nRed Black Black Black Black Black Black Black Brown\nBlack Red Black Black Black Black Black Brown Black\nBlack Black Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Purple Black\nGreen Black Black Black Black Black Black Black Purple\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Black Black Black Green\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Black Black Black Black Black Black Black Black Green\nBlack Red Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Gray Black\nPurple Black Black Black Black Black Black Black 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:\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Green Black Black Black\nGreen Black Green Black Black Black Black Green Black Blue\nBlack Black Black Red Black Blue Black Black Black Black\nBlue Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nGreen Black Blue Black Red Black Black Red Black Black\nRed Red Blue Green Black Green Blue Red Black Black\nBlack Black Red Green Blue Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Green Black Black Black\nGreen Black Green Black Black Black Black Green Black Blue\nBlack Black Black Red Black Blue Black Black Black Black\nBlue Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nYellow Black Blue Black Red Black Black Red Black Black\nYellow Blue Blue Brown Black Brown Brown Blue Black Black\nBlack Black Blue Yellow Brown Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\n\n\nExample 2\nInput:\nRed Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Red Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Red Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Blue Green Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Green Black Black\nBlack Black Black Blue Red Red Black Red Black Black\nBlack Blue Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Brown Brown Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Yellow Black Black\nBlack Black Black Blue Blue Red Black Yellow Black Black\nBlack Blue Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Black Black Black Blue Black Black Green\nBlack Black Black Black Red Blue Black Black Black Green\nGreen Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black\nBlack Black Green Black Black Blue Black Green Black Black\nBlue Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Red Green Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Black Black Black Blue Black Black Green\nBlack Black Black Black Blue Blue Black Black Black Green\nGreen Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Green Black Black Blue Black Yellow Black Black\nBlue Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Yellow Yellow Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black 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\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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Red Red Red\nBlack 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 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 Red Red Red Black Black Black\nBlack 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 Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Blue Blue 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\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue Black\nBlack 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 Blue Blue Blue 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 Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue 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 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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Blue Blue Red Red Red Red Black Black Black Black Black Black Black\nBlack Blue Blue Red Red Red Red Black Black Black Black Black Black Black\nBlack Blue Blue Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack 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\nBlack 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\nBlack 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\nBlack Black Black Black Black Blue Green Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGreen 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Blue Black Black Blue 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 Yellow Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Red\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Red Blue Black Blue Black Black Black Blue 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 Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black 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\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\nGreen Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Yellow Black Black Yellow Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black Blue Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black\nBlack 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 Green Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Blue Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Red Red Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Red Red Red Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Red Red Red Black Green Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Red 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 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 Green Black Black Black\nBlack 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 Green Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Gray Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Orange Orange Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Orange Orange Orange Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Orange Orange Orange Black Green Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Orange 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 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 Black Black Black Black Black Black Red Black Black Black\nBlack Black Green Green Green Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Green Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Blue Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Blue Blue Blue Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Blue Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Blue Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Green Green Green Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Green Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Gray Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange\nBlack Gray Gray Gray Black Black Black Black Orange Orange Orange Orange Orange Orange Black\nBlack Black Gray Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Gray Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Red Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black\nBlack Black Red Blue Blue Blue Red Red Red Red Red Red Black Black Black Black\nBlack Red Red Red Blue Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Orange Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Orange Gray Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Orange Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green 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 Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Green Orange Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green 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:\nRed Red Red Black Black Black Black Black Red Black Black Black Black\nRed Red Red Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black\nRed Red Red Red Black Black Red Red Red Red Red Black Black\nRed Red Red Red Black Black Red Red Red Red Red Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Black Red Red Red Black Black\nRed Red Red Red Black Red Red Black Red Red Red Red Black\nRed Red Red Red Black Red Red Black Red Red Red Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black\nRed 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\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\n\nOutput:\nRed Red Red Black Black Black Black Black Green Black Black Black Black\nRed Red Red Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black\nRed Red Red Red Black Black Green Green Green Green Green Black Black\nRed Red Red Red Black Black Green Green Green Green Green Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Green Black Black Black\nBlack Black Black Black Black Red Red Black Green Green Green Black Black\nGreen Green Green Green Black Red Red Black Green Green Green Green Black\nGreen Green Green Green Black Red Red Black Green Green Green Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black\nGreen 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\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Red Black Black Black Black Red Red Red Black\nBlack Black Red Red Red Black Black Black Red Red Red Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Red Red Red Black\nBlack Red Red Red Black Black Black Red Red Red Red Black\nBlack Red Red Red Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Red Black Red Red Red Red Black\nBlack Black Black Black Red Red Black Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Black Black Black Black Red Red Red Black\nBlack Black Green Green Green Black Black Black Red Red Red Black\nBlack Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Red Red Red Red Black\nBlack Green Green Green Black Black Black Red Red Red Red Black\nBlack Green Green Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Red Red Black Green Green Green Green Black\nBlack Black Black Black Red Red Black Green Green Green Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Red Black Black Black Black Black Black Black Red Black Black\nRed Red Black Black Black Black Black Black Red Red Red Black\nRed Red Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Red Red Black Black Black\nBlack Black Black Red Red Red Black Red Red Black Black Black\nBlack Black Black Red Red Red Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Red Red Red Red\nBlack Red Red Black Red Red Red Black Red Red Red Red\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Red Red Red Black Black Black Black\nBlack Red Red Black Black Red Red Red Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Green Black Black\nRed Red Black Black Black Black Black Black Green Green Green Black\nRed Red Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Red Red Black Black Black\nBlack Black Black Red Red Red Black Red Red Black Black Black\nBlack Black Black Red Red Red Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Red Red Red Red\nBlack Red Red Black Red Red Red Black Red Red Red Red\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Red Red Red Black Black Black Black\nBlack Red Red Black Black Red Red Red Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Red Red Red Black Black Black\nBlack Red Red Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Red Red Red Black Red Red Black\nBlack Black Black Red Black Black Black Red Red Red Black Red Red Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Red Red Red Black Black Black Red Red Red Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Green Green Green Black Black Black\nBlack Red Red Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Red Red Red Black Red Red Black\nBlack Black Black Green Black Black Black Red Red Red Black Red Red Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Red Red Red Red Black Black\nBlack Black Green Green Green Black Black Black Red Red Red Red Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black\nBlack 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\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Purple Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple 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 Purple Purple Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Black Black Black Black Red Red Orange Orange Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Orange Orange Pink Pink Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack 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\nBlack 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 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Orange Orange Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Orange Orange Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Green Green Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Yellow Orange Orange Orange Pink Yellow Red Yellow Red\nRed Red Pink Yellow Yellow Yellow Red Pink Red Red\nBlue Yellow Green Green Green Orange Yellow Green Orange Blue\nOrange Orange Green Orange Pink Orange Green Green Pink Pink\nRed Orange Pink Red Pink Yellow Green Orange Pink Yellow\nRed Green Pink Pink Green Red Red Yellow Orange Red\nOrange Pink Yellow Red Green Red Pink Yellow Green Yellow\nOrange Red Green Yellow Orange Yellow Orange Pink Red Orange\nRed Orange Yellow Green Red Green Red Green Orange Red\nPink Pink Green Yellow Yellow Green Green Orange Green Orange\nYellow Green Yellow Red Pink Red Red Yellow Green Pink\n\nOutput:\nYellow Yellow Orange Orange Orange Pink Yellow Red Yellow Red\nRed Red Pink Yellow Yellow Yellow Red Yellow Red Red\nBlue Gray Green Green Green Orange Yellow Green Gray Blue\nGray Orange Green Orange Pink Orange Green Green Pink Gray\nRed Yellow Pink Red Pink Yellow Green Orange Pink Yellow\nRed Green Pink Pink Green Red Red Yellow Yellow Red\nYellow Pink Yellow Red Green Red Pink Yellow Green Yellow\nYellow Red Green Yellow Orange Yellow Orange Pink Red Yellow\nRed Yellow Yellow Green Red Green Red Green Yellow Red\nYellow Yellow Green Yellow Yellow Green Green Orange Green Yellow\nYellow Green Yellow Red Yellow Red Red Yellow Green Yellow\n\n\nExample 2\nInput:\nPink Blue Purple Brown Purple Green Pink Purple Yellow Yellow\nPink Brown Blue Blue Pink Blue Yellow Brown Brown Purple\nPurple Brown Brown Blue Brown Purple Yellow Purple Yellow Blue\nBlue Purple Pink Blue Yellow Purple Brown Blue Blue Blue\nYellow Yellow Brown Blue Brown Purple Brown Blue Pink Pink\nPurple Blue Pink Brown Brown Purple Brown Blue Yellow Brown\nPurple Blue Blue Blue Purple Blue Pink Purple Yellow Brown\nPurple Pink Brown Yellow Pink Pink Purple Yellow Yellow Yellow\nPink Blue Yellow Purple Pink Yellow Yellow Pink Pink Brown\nRed Pink Pink Yellow Yellow Blue Blue Yellow Purple Red\nBlue Pink Brown Purple Pink Green Yellow Yellow Brown Pink\n\nOutput:\nGray Blue Gray Brown Yellow Green Yellow Purple Yellow Yellow\nPink Gray Blue Blue Pink Blue Yellow Brown Brown Gray\nGray Brown Brown Blue Brown Purple Yellow Purple Gray Blue\nBlue Gray Pink Blue Yellow Purple Brown Blue Blue Blue\nGray Yellow Brown Blue Brown Purple Brown Blue Pink Gray\nPurple Blue Pink Brown Brown Purple Brown Blue Yellow Brown\nPurple Blue Blue Blue Purple Blue Pink Purple Yellow Brown\nPurple Pink Brown Yellow Pink Pink Purple Yellow Yellow Yellow\nYellow Blue Yellow Purple Pink Yellow Yellow Pink Pink Yellow\nRed Yellow Pink Yellow Yellow Blue Blue Yellow Yellow Red\nBlue Gray Brown Purple Yellow Green Yellow Yellow Brown Yellow\n\n\nExample 3\nInput:\nBlue Brown Purple Blue Brown Blue Brown Pink Red Purple\nPurple Purple Pink Blue Blue Purple Purple Blue Gray Pink\nBlue Gray Brown Purple Purple Purple Pink Pink Gray Blue\nGray Pink Pink Blue Brown Pink Gray Pink Blue Brown\nBrown Blue Blue Brown Pink Blue Pink Pink Pink Gray\nBlue Gray Purple Gray Gray Pink Brown Gray Purple Blue\nGreen Brown Purple Brown Gray Purple Gray Brown Brown Green\nBrown Brown Gray Gray Gray Purple Brown Pink Pink Gray\nPurple Purple Blue Brown Blue Pink Blue Gray Blue Pink\nBrown Brown Purple Pink Pink Blue Purple Blue Red Brown\n\nOutput:\nBlue Gray Gray Blue Gray Blue Gray Yellow Red Yellow\nGray Purple Pink Blue Blue Gray Purple Blue Yellow Gray\nBlue Gray Brown Purple Purple Purple Pink Pink Gray Blue\nGray Pink Pink Blue Brown Pink Gray Pink Blue Gray\nGray Blue Blue Brown Pink Blue Pink Pink Pink Gray\nBlue Gray Purple Gray Gray Pink Brown Gray Gray Blue\nGreen Yellow Purple Brown Gray Purple Gray Brown Yellow Green\nYellow Brown Gray Gray Gray Purple Brown Pink Pink Yellow\nPurple Purple Blue Brown Blue Gray Blue Gray Blue Pink\nBrown Brown Purple Pink Gray Blue Gray Blue Red Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGray Red Orange Red Gray Red Blue Yellow Orange Orange Yellow Red\nGray Yellow Brown Gray Yellow Gray Brown Brown Red Orange Red Orange\nYellow Orange Brown Orange Gray Orange Brown Orange Gray Yellow Brown Red\nYellow Brown Gray Gray Red Yellow Yellow Orange Yellow Gray Brown Brown\nYellow Red Brown Red Yellow Yellow Red Gray Red Gray Gray Orange\nGreen Yellow Brown Gray Red Orange Yellow Orange Yellow Orange Red Green\nBrown Gray Red Yellow Gray Brown Yellow Orange Red Yellow Red Gray\nYellow Yellow Orange Brown Brown Orange Gray Yellow Brown Brown Orange Gray\nRed Red Yellow Gray Gray Brown Brown Red Orange Gray Orange Red\nGray Brown Red Brown Orange Red Blue Orange Red Orange Red 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```\nYellow Red Yellow Red Yellow Red Blue Gray Orange Orange Yellow Red\nGray Yellow Brown Yellow Yellow Yellow Gray Brown Red Orange Red Yellow\nYellow Orange Brown Orange Gray Orange Brown Orange Gray Yellow Yellow Red\nYellow Brown Gray Gray Red Yellow Yellow Orange Yellow Gray Brown Yellow\nYellow Red Brown Red Yellow Yellow Red Gray Red Gray Gray Yellow\nGreen Yellow Brown Gray Red Orange Yellow Orange Yellow Orange Red Green\nYellow Gray Red Yellow Gray Brown Yellow Orange Red Yellow Red Yellow\nYellow Yellow Orange Brown Brown Orange Gray Yellow Brown Brown Orange Yellow\nRed Red Yellow Gray Gray Yellow Gray Red Yellow Gray Yellow Red\nYellow Yellow Red Yellow Yellow Red Blue Yellow Red Yellow 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Black Black Green Green\nBlack Black Purple Purple Brown Brown Black Black Green Green\nPurple Purple Black Black Pink Pink Blue Blue Black Black\nPurple Purple Black Black Pink Pink Blue Blue Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange\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 Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Black Black Black Black Gray Gray Gray Gray Orange Orange Orange Orange Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Gray Gray Gray Gray Orange Orange Orange Orange Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Gray Gray Gray Gray Orange Orange Orange Orange Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Gray Gray Gray Gray Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Orange Orange Gray Gray\nBlack Black Black Black Orange Orange Gray Gray\nPurple Purple Black Black Black Black Green Green\nPurple Purple Black Black Black Black Green Green\nBlack Black Green Green Blue Blue Black Black\nBlack Black Green Green Blue Blue Black Black\nYellow Yellow Black Black Black Black Blue Blue\nYellow Yellow Black Black Black Black Blue Blue\nBlack Black Brown Brown Orange Orange Black Black\nBlack Black Brown Brown Orange Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Orange Orange Orange Orange Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Green Green Green Green Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Green Green Green Green Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Green Green Green Green Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Green Green Green Green Blue Blue Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Red Red Green Green Orange Orange Black Black\nBlack Black Red Red Green Green Orange Orange Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Gray Gray Black Black Black Black Gray Gray\nGreen Green Pink Pink Black Black Blue Blue Black Black\nGreen Green Pink Pink Black Black Blue Blue Black Black\nPink Pink Black Black Black Black Black Black Brown Brown\nPink Pink Black Black Black Black Black Black Brown Brown\n\nOutput:\nBlack Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Brown Brown Brown Brown Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Brown Brown Brown Brown Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Brown Brown Brown Brown Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Brown Brown Brown Brown Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBrown Brown Brown Brown Gray Gray Gray Gray Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBrown Brown Brown Brown Gray Gray Gray Gray Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBrown Brown Brown Brown Gray Gray Gray Gray Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBrown Brown Brown Brown Gray Gray Gray Gray Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Brown Brown Black Black\nBlack Black Brown Brown Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Gray Gray Black Black\nBlack Black Gray Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black\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 Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green 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 Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 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 Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Blue Blue Red Red Black Black\nBlack Black Red Red Blue Blue Blue Blue Red Red Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black\n\nOutput:\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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Black Black Black Black Red Red Black Black\nBlack Black Red Red Black Black Black Black Red Red Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink 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\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 Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Purple Purple Gray Gray Black Black\nBlack Black Black Black Gray Gray Purple Purple Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Gray Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Blue Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Gray Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray 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 Blue Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Gray Black Gray Black\nBlack Black Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Gray Black Gray Black\nBlack Black Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Gray Gray Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Gray Gray Black Gray 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 Black Black Black Black\nBlack Gray Black Gray Black 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 Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black\nBlack Gray Gray Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Blue Black Black Black Black\nBlack Gray Black Gray Black 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 Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black\nBlack Gray Gray Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange\nOrange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Black Black Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Black Black Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Black Black\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black\nBlack Black Purple Purple Orange Orange Black Black Green Green Orange Orange Red Red Pink Pink Orange Orange Orange Orange Red Red Brown Brown\nBlack Black Purple Purple Orange Orange Black Black Green Green Orange Orange Red Red Pink Pink Orange Orange Orange Orange Red Red Brown Brown\nOrange Orange Purple Purple Orange Orange Black Black Green Green Orange Orange Red Red Pink Pink Orange Orange Orange Orange Red Red Brown Brown\nOrange Orange Purple Purple Orange Orange Black Black Green Green Orange Orange Red Red Pink Pink Orange Orange Orange Orange Red Red Brown Brown\n\nOutput:\nOrange Orange Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Black Black Black Black Pink Pink Pink Pink\nOrange Orange Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Black Black Black Black Pink Pink Pink Pink\nBlack Black Pink Pink Orange Orange Orange Orange Pink Pink Orange Orange Pink Pink Black Black Pink Pink Orange Orange Pink Pink Pink Pink\nBlack Black Pink Pink Orange Orange Orange Orange Pink Pink Orange Orange Pink Pink Black Black Pink Pink Orange Orange Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black Orange Orange Orange Orange\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Pink Pink Black Black Pink Pink Black Black Orange Orange Black Black Pink Pink Orange Orange Black Black Black Black\nBlack Black Orange Orange Pink Pink Black Black Pink Pink Black Black Orange Orange Black Black Pink Pink Orange Orange Black Black Black Black\nPink Pink Black Black Pink Pink Black Black Orange Orange Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Black Black Orange Orange Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Pink Pink Orange Orange Black Black Pink Pink Orange Orange Orange Orange Black Black Pink Pink Orange Orange Black Black\nOrange Orange Orange Orange Pink Pink Orange Orange Black Black Pink Pink Orange Orange Orange Orange Black Black Pink Pink Orange Orange Black Black\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Purple Purple Orange Orange Black Black Green Green Orange Orange Red Red Pink Pink Orange Orange Orange Orange Red Red Brown Brown\nOrange Orange Purple Purple Orange Orange Black Black Green Green Orange Orange Red Red Pink Pink Orange Orange Orange Orange Red Red Brown Brown\n\n\nExample 2\nInput:\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black\nBlack Black Purple Purple Orange Orange Green Green Orange Orange Black Black Green Green Brown Brown Blue Blue Black Black\nBlack Black Purple Purple Orange Orange Green Green Orange Orange Black Black Green Green Brown Brown Blue Blue Black Black\nBlack Black Purple Purple Orange Orange Green Green Orange Orange Orange Orange Green Green Brown Brown Blue Blue Black Black\nBlack Black Purple Purple Orange Orange Green Green Orange Orange Orange Orange Green Green Brown Brown Blue Blue Black Black\n\nOutput:\nBlack Black Orange Orange Orange Orange Pink Pink Orange Orange Black Black Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Orange Orange Orange Orange Pink Pink Orange Orange Black Black Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Orange Orange Orange Orange Pink Pink\nPink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Orange Orange Orange Orange Pink Pink\nPink Pink Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black Pink Pink\nPink Pink Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Orange Orange\nPink Pink Black Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Orange Orange\nOrange Orange Orange Orange Pink Pink Black Black Pink Pink Black Black Orange Orange Black Black Orange Orange Black Black\nOrange Orange Orange Orange Pink Pink Black Black Pink Pink Black Black Orange Orange Black Black Orange Orange Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Purple Purple Orange Orange Green Green Orange Orange Orange Orange Green Green Brown Brown Blue Blue Black Black\nBlack Black Purple Purple Orange Orange Green Green Orange Orange Orange Orange Green Green Brown Brown Blue Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black\nGray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray\nBlue Blue Purple Purple Orange Orange Yellow Yellow Purple Purple Gray Gray Brown Brown Gray Gray Gray Gray Green Green Gray Gray\nBlue Blue Purple Purple Orange Orange Yellow Yellow Purple Purple Gray Gray Brown Brown Gray Gray Gray Gray Green Green Gray Gray\nBlue Blue Purple Purple Orange Orange Yellow Yellow Purple Purple Gray Gray Brown Brown Gray Gray Black Black Green Green Gray Gray\nBlue Blue Purple Purple Orange Orange Yellow Yellow Purple Purple Gray Gray Brown Brown Gray Gray Black Black Green Green Gray Gray\n\nOutput:\nBlack Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black Black Black Gray Gray\nBlack Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black Black Black Gray Gray\nBlack Black Pink Pink Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Black Black Gray Gray Black Black\nBlack Black Pink Pink Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Black Black Gray Gray Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Gray Gray Black Black Black Black Gray Gray Black Black Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Gray Gray Black Black Black Black Gray Gray Black Black Pink Pink\nPink Pink Gray Gray Black Black Pink Pink Pink Pink Black Black Gray Gray Black Black Black Black Black Black Pink Pink\nPink Pink Gray Gray Black Black Pink Pink Pink Pink Black Black Gray Gray Black Black Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nGray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Pink Pink Pink Pink\nBlue Blue Purple Purple Orange Orange Yellow Yellow Purple Purple Gray Gray Brown Brown Gray Gray Black Black Green Green Gray Gray\nBlue Blue Purple Purple Orange Orange Yellow Yellow Purple Purple Gray Gray Brown Brown Gray Gray Black Black Green Green Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black Black Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nPink Pink Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPurple Purple Gray Gray Green Green Blue Blue Pink Pink Pink Pink Black Black Black Black Pink Pink\nPurple Purple Gray Gray Green Green Blue Blue Pink Pink Pink Pink Black Black Black Black Pink Pink\nPurple Purple Gray Gray Green Green Blue Blue Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nPurple Purple Gray Gray Green Green Blue Blue Pink Pink Pink Pink 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 Black Black Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nPink Pink Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPurple Purple Gray Gray Green Green Blue Blue Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nPurple Purple Gray Gray Green Green Blue Blue Pink Pink Pink Pink Black Black Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Black Red Blue Blue Blue Blue Black Blue Blue Black Black Blue\nPurple Blue Blue Black Blue Black Blue Black Black Blue Purple Black Blue\nBlack Black Pink Blue Blue Blue Blue Blue Blue Purple Black Black Black\nRed Gray Blue Black Blue Black Blue Blue Blue Black Black Blue Blue\nBlack Blue Blue Blue Purple Blue Blue Blue Black Blue Blue Blue Black\nBlack Blue Blue Blue Red Blue Black Blue Black Black Blue Blue Gray\nBlue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Black\nBlue Black Yellow Red Black Gray Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Red Black Blue Blue Blue Black Blue Black\nBlue Black Blue Black Blue Black Black Black Black Black Blue Black Blue\nBlue Purple Yellow Blue Black Orange Blue Blue Black Blue Gray Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Black Blue Blue Black Black\nBlack Blue Black Black Black Blue Blue Black Blue Blue Black Blue Black\nBlue Blue Red Orange Blue Blue Blue Black Blue Black Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Yellow Black Black Blue\nBlue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black\n\nOutput:\nPink Black Red Blue Blue Blue Blue Black Blue Blue Black Black Blue\nPurple Blue Blue Black Blue Black Blue Black Black Blue Purple Black Blue\nBlack Black Pink Blue Blue Blue Blue Blue Blue Purple Black Black Black\nRed Gray Blue Black Blue Black Blue Blue Blue Black Black Blue Blue\nBlack Blue Blue Blue Purple Blue Blue Blue Black Blue Blue Blue Black\nBlack Blue Blue Blue Red Blue Black Blue Black Black Blue Blue Gray\nBlue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Black\nBlue Black Yellow Red Black Gray Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Red Black Blue Blue Blue Black Blue Black\nBlue Black Blue Black Blue Black Black Black Black Black Blue Black Blue\nBlue Purple Yellow Blue Black Orange Blue Blue Black Blue Gray Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Black Blue Blue Black Black\nBlack Blue Black Black Black Blue Blue Black Blue Blue Black Blue Black\nBlue Blue Red Orange Blue Blue Blue Black Blue Black Blue Blue Black\nBlack Orange Orange Orange Blue Blue Blue Blue Black Yellow Black Black Blue\nBlue Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Black\nBlue Orange Orange Orange Blue Blue Blue Blue Black Blue Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Pink Blue Black Blue Blue Yellow Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Yellow Black Black Blue\nPurple Black Black Black Blue Black Blue Blue Pink Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Blue Black Black\nBlue Green Blue Blue Blue Blue Blue Gray Gray Blue Blue Green\nBlue Black Black Blue Blue Blue Blue Black Blue Orange Black Blue\nBlue Blue Gray Blue Blue Blue Blue Blue Black Gray Black Black\nBlue Black Blue Black Blue Black Black Blue Blue Blue Blue Blue\nBlack Orange Blue Orange Green Black Blue Blue Gray Black Gray Blue\nBlack Pink Black Blue Black Blue Black Blue Blue Black Orange Pink\nBlue Black Blue Blue Blue Blue Blue Black Black Black Blue Blue\nBlue Black Black Black Blue Blue Black Black Black Blue Blue Black\nBlack Blue Blue Yellow Black Blue Black Black Blue Blue Green Black\nBlue Black Blue Black Black Blue Black Blue Blue Blue Red Blue\nOrange Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue\n\nOutput:\nBlack Black Black Pink Blue Black Blue Blue Yellow Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Yellow Black Black Blue\nPurple Black Black Black Blue Black Blue Blue Pink Black Black Black\nBlue Blue Blue Orange Orange Orange Orange Black Black Blue Black Black\nBlue Green Blue Orange Orange Orange Orange Gray Gray Blue Blue Green\nBlue Black Black Orange Orange Orange Orange Black Blue Orange Black Blue\nBlue Blue Gray Orange Orange Orange Orange Blue Black Gray Black Black\nBlue Black Blue Black Blue Black Black Blue Blue Blue Blue Blue\nBlack Orange Blue Orange Green Black Blue Blue Gray Black Gray Blue\nBlack Pink Black Blue Black Blue Black Blue Blue Black Orange Pink\nBlue Black Blue Blue Blue Blue Blue Black Black Black Blue Blue\nBlue Black Black Black Blue Blue Black Black Black Blue Blue Black\nBlack Blue Blue Yellow Black Blue Black Black Blue Blue Green Black\nBlue Black Blue Black Black Blue Black Blue Blue Blue Red Blue\nOrange Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue\n\n\nExample 3\nInput:\nBlue Blue Black Green Black Blue Blue Blue Black Red Blue Black\nBlue Black Blue Black Blue Blue Blue Red Black Orange Black Black\nBlue Blue Black Gray Blue Black Black Black Black Blue Green Gray\nPurple Blue Blue Blue Purple Black Black Green Blue Blue Black Blue\nBlack Black Black Gray Black Yellow Green Black Yellow Black Blue Blue\nBlack Black Blue Black Black Blue Purple Blue Black Blue Blue Blue\nBlue Black Black Black Blue Blue Blue Green Blue Black Black Blue\nBlue Black Blue Blue Black Black Blue Red Blue Blue Blue Black\nBlue Blue Blue Blue Black Blue Blue Blue Pink Blue Blue Blue\nBlack Black Purple Black Black Blue Black Black Black Orange Black Gray\nBlue Blue Green Black Black Blue Black Blue Blue Blue Gray Purple\nBlack Black Green Black Black Blue Black Blue Black Blue Blue Pink\nBlack Blue Blue Black Blue Gray Blue Blue Blue Black Black Blue\nBlack Blue Black Blue Red Blue Green Black Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Black Blue Blue Blue Blue Black Red\nBlack Blue Blue Black Yellow Orange Blue Blue Black Blue Yellow Blue\n\nOutput:\nBlue Blue Black Green Black Blue Blue Blue Black Red Blue Black\nBlue Black Blue Black Blue Blue Blue Red Black Orange Black Black\nBlue Blue Black Gray Blue Black Black Black Black Blue Green Gray\nPurple Blue Blue Blue Purple Black Black Green Blue Blue Black Blue\nBlack Black Black Gray Black Yellow Green Black Yellow Black Orange Orange\nBlack Black Blue Black Black Blue Purple Blue Black Blue Orange Orange\nBlue Black Black Black Blue Blue Blue Green Blue Black Black Blue\nBlue Black Blue Blue Black Black Blue Red Blue Blue Blue Black\nBlue Blue Blue Blue Black Blue Blue Blue Pink Blue Blue Blue\nBlack Black Purple Black Black Blue Black Black Black Orange Black Gray\nBlue Blue Green Black Black Blue Black Blue Blue Blue Gray Purple\nBlack Black Green Black Black Blue Black Blue Black Blue Blue Pink\nBlack Blue Blue Black Blue Gray Blue Blue Blue Black Black Blue\nBlack Blue Black Blue Red Blue Green Black Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Black Blue Blue Blue Blue Black Red\nBlack Blue Blue Black Yellow Orange Blue Blue Black Blue Yellow Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Blue Black Black Blue Orange Red Purple Black Blue Black Black Purple\nBlue Black Brown Blue Black Black Blue Black Yellow Blue Blue Blue Blue Brown\nBlue Orange Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue Black\nBlue Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Black\nBlue Blue Blue Blue Purple Blue Blue Blue Black Black Blue Blue Black Gray\nBlue Black Orange Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black\nBlack Black Blue Black Blue Yellow Blue Blue Black Blue Blue Black Blue Black\nRed Black Black Blue Black Blue Brown Blue Black Blue Blue Blue Blue Blue\nOrange Blue Red Blue Blue Black Green Blue Blue Blue Black Blue Blue Blue\nGray Blue Blue Black Gray Black Black Black Black Blue Black Blue Black Black\nBlack Blue Black Blue Red Orange Blue Blue Black Black Black Black Brown Yellow\nBlue Blue Orange Black Blue Blue Red Black Blue Blue Blue Black Black Blue\nBlue Yellow Black Black Black Blue Blue Blue Black Black Black Blue Black Blue\nGray Blue Red Blue Black Yellow Blue Black Blue Blue Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Blue Black Black Blue Orange Red Purple Black Blue Black Black Purple\nBlue Black Brown Blue Black Black Blue Black Yellow Blue Blue Blue Blue Brown\nBlue Orange Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue Black\nBlue Black Blue Blue Blue Orange Orange Orange Black Blue Black Blue Blue Black\nBlue Blue Blue Blue Purple Orange Orange Orange Black Black Blue Blue Black Gray\nBlue Black Orange Blue Blue Orange Orange Orange Blue Blue Black Blue Black Black\nBlack Black Blue Black Blue Yellow Blue Blue Black Blue Blue Black Blue Black\nRed Black Black Blue Black Blue Brown Blue Black Blue Blue Blue Blue Blue\nOrange Blue Red Blue Blue Black Green Blue Blue Blue Black Blue Blue Blue\nGray Blue Blue Black Gray Black Black Black Black Blue Black Blue Black Black\nBlack Blue Black Blue Red Orange Blue Blue Black Black Black Black Brown Yellow\nBlue Blue Orange Black Blue Blue Red Black Blue Blue Blue Black Black Blue\nBlue Yellow Black Black Black Blue Blue Blue Black Black Black Blue Black Blue\nGray Blue Red Blue Black Yellow Blue Black 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:\nBlue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green\nBlue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green\nBlue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green\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\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green\nBlue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green\nBlue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green\n\nOutput:\nRed Red Red Green Green Green Green Green Green Red Red Red Green Green Green\nRed Red Red Green Green Green Green Green Green Red Red Red Green Green Green\nRed Red Red Green Green Green Green Green Green Red Red Red Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Green Green Green Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Red Red Red Green Green Green\nRed Red Red Green Green Green Green Green Green Red Red Red Green Green Green\nRed Red Red Green Green Green Green Green Green Red Red Red Green Green Green\n\n\nExample 2\nInput:\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Blue Blue Blue Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Blue Blue Blue Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Blue Blue Blue Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Blue Blue Blue Green Green Green Blue Blue Blue Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Blue Blue Blue Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Blue Blue Blue Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Red Red Red\n\nOutput:\nBlue Blue Blue Red Red Red Red Red Red Green Green Green Red Red Red\nBlue Blue Blue Red Red Red Red Red Red Green Green Green Red Red Red\nBlue Blue Blue Red Red Red Red Red Red Green Green Green Red Red Red\nBlue Blue Blue Green Green Green Red Red Red Green Green Green Red Red Red\nBlue Blue Blue Green Green Green Red Red Red Green Green Green Red Red Red\nBlue Blue Blue Green Green Green Red Red Red Green Green Green Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Red Red Red Green Green Green Red Red Red\nBlue Blue Blue Green Green Green Red Red Red Green Green Green Red Red Red\nBlue Blue Blue Green Green Green Red Red Red Green Green Green Red Red Red\nBlue Blue Blue Red Red Red Red Red Red Green Green Green Red Red Red\nBlue Blue Blue Red Red Red Red Red Red Green Green Green Red Red Red\nBlue Blue Blue Red Red Red Red Red Red Green Green Green Red Red Red\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Red Red Red Red Red Red Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Green Green Green\n\nOutput:\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Green Green Green Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Green Green Green Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Green Green Green Blue Blue Blue Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Green Green Green Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Green Green Green Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Green Green Green Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue 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```\nBlue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Green Green Green Red Red Red Blue Blue Blue Green Green Green\nBlue Blue Blue Green Green Green Red Red Red Blue Blue Blue Green Green Green\nBlue Blue Blue Green Green Green Red Red Red Blue Blue Blue Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Red Red Red Blue Blue Blue Green Green Green\nBlue Blue Blue Green Green Green Red Red Red Blue Blue Blue Green Green Green\nBlue Blue Blue Green Green Green Red Red Red Blue Blue Blue Green Green Green\nBlue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black 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 Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Orange Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black\n\n\nExample 2\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\nYellow 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 Green\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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Pink\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 Yellow 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\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 Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Orange Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink 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 Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Orange Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Green Green Green Green Red Red Red\nBlack Black Black Green Green Green Green Green Red Red\nBlack Black Black Black Green Green Green Red Red Red\nBlack Black Black Black Black Green Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red\nBlue Black Black Black Black Black Black Black Red Red\nBlue Blue Blue Black Black Black Black Black Red Red\nBlue Blue Blue Black Black Black Black Red Red Red\nBlue Blue Blue Blue Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Green Green Green Green Red Red Red\nBlack Black Black Green Green Green Green Green Red Red\nBlack Black Black Black Green Green Green Red Red Red\nBlack Black Black Black Black Green Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black\nRed Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Blue\nRed Red Red Red Red Red Blue Blue\nRed Red Red Red Red Blue Blue Blue\nRed Red Red Red Red Red Blue Blue\nBlack Black Red Red Red Red Red Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Red Red Red Red Blue Red Red\nBlack Black Black Black Black Red Blue Blue Blue Blue Blue\nBlack Black Black Black Black Red Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue\n\nOutput:\nBlack Black Black Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Red Black Black Blue Blue Blue Black Blue Blue Blue\nBlue Red Red Black Black Blue Black Blue Blue Blue Blue\nBlue Blue Red Red Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Blue Blue Blue\nBlue Black Black Black Black Blue Black Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack 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 Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow 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\nBlack 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow 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\nBlack 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink 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\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 Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack 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\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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Orange Orange Orange Orange Black Black Yellow Yellow Black Black Black\nBlack Orange Orange Orange Orange Black Black Yellow Yellow Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue 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 Black Black Black Black Black Black Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black 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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Blue Blue Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Blue Blue Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack 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:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Brown Brown Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Brown Brown Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Green Green Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Green Green Orange\nOrange Green Red Red Red Green Green Green Green Green Green Orange\nOrange Green Red Red Red Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Green Green Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray\nGray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray\nGray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray\nGray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray\nGray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray\nGray Blue Blue Blue Blue Red Red Blue Blue Blue Blue Gray\nGray Blue Green Blue Blue Red Red Blue Blue Blue Blue Gray\nGray Blue Green Blue Blue Blue Blue Blue Blue Blue Blue Gray\nGray Blue Green Blue Blue Blue Purple Purple Blue Blue Blue Gray\nGray Blue Blue Blue Blue Blue Purple Purple Blue Blue Blue Gray\nGray Blue Blue Blue Blue Blue Purple Purple Blue Blue Blue Gray\nGray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray\nGray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray\nGray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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 Yellow Black\nBlack Yellow Black Yellow\nYellow Black Yellow Black\nBlack Black Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black\nBlack Black Black Yellow Black Yellow Black Yellow\nBlack Black Yellow Black Yellow Black Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nPink Pink Black Black Pink\nBlack Pink Black Black Black\nBlack Black Black Black Pink\nPink Black Pink Pink Black\nBlack Black Pink Pink 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 Pink Pink Pink Pink Pink Black Pink\nBlack Black Black Black Pink Black Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Pink Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Black\n\n\nExample 3\nInput:\nBlack Black Black Orange Black\nOrange Black Orange Orange Black\nOrange Orange Orange Black Orange\nBlack Black Black Black Orange\nBlack Black 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 Orange Black Orange Black\nBlack Black Black Orange Black Orange Orange Orange Orange Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Black Orange\nBlack Black Black Black Black Orange Orange Orange Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Gray\nBlack Black Gray\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```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Orange Orange Orange Orange Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black\nBlack Brown Brown Brown Black Yellow Yellow Black Black\nBlack Orange Orange Orange Black Yellow Yellow Black Black\nBlack Orange Orange Orange Black Yellow Yellow Black Black\nBlack Orange Orange Orange Black Yellow Orange Black Black\nBrown Brown Brown Black Orange Black Orange Black Black\nBlack Brown Brown Black Orange Yellow Orange Black Black\nBlack Brown Brown Orange Orange Orange Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\n\nOutput:\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\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Red Red Red Black Black Black Orange Orange Orange Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Blue Orange Orange Black Black Black Black Black\nBlack 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\nBlack Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Purple Purple Purple Black Red Red Black Black\nBlack Black Green Purple Purple Purple Black Red Red Black Black\nBlack Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Purple Purple Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Blue Green Green Green Black\nBlack Blue Blue Green Green Green Black\nBlack Black Black Green Green Green Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Pink Black Black Black Black Black Black Black Black\nBlack Pink Black Black Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Pink Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Pink Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black Black Black Black Pink Pink 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 Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Purple Purple Black Black Black Black Green Green Black Black\nBlack Black Black Purple Purple Black Black Black Black Green Green Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black\n\nOutput:\nPink Black Black\nPink Black Black\nPink Pink Pink\nPink Pink Black\nPink 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 Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Blue Black Black Blue Black Black Black Black Gray Gray Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Gray Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nOrange Orange Black Black Orange Orange Black Black Black Black Black Red Red Red Red\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Red Red Red Red\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Red Red Red Red\n\nOutput:\nGray Black\nGray Black\nGray Gray\nGray Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Red Black Green Green Black Black Green Green\nBlack Black Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red\nRed Red Red Red Red\nRed Red Red Red Red\nBlack Black Black Red Red\nBlack Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Gray Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Gray Gray Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Gray Gray Gray Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black\nGray Black\nGray Black\nGray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Gray Yellow Purple Orange Pink Green Pink\nPink Brown Green Yellow Green Gray Orange Brown\nBlue Blue Orange Gray Orange Purple Orange Purple\nGreen Purple Purple Brown Blue Orange Brown Gray\nPurple Purple Gray Purple Purple Yellow Orange Pink\nBrown Yellow Pink Brown Green Purple Gray Orange\nPurple Yellow Pink Orange Green Red Orange Brown\nBlue Gray Purple Yellow Green Orange Blue Green\n\nOutput:\nRed Blue Brown Pink Yellow Purple Red Yellow\nBrown Pink Orange Purple Yellow Green Purple Gray\nGray Pink Orange Gray Yellow Brown Blue Purple\nBrown Brown Blue Brown Brown Pink Purple Orange\nYellow Brown Brown Gray Red Purple Gray Blue\nRed Red Purple Blue Purple Brown Purple Brown\nOrange Gray Yellow Pink Yellow Blue Purple Gray\nPink Blue Pink Brown Purple Orange Yellow Orange\n\n\nExample 2\nInput:\nRed Orange Yellow Blue Brown Red Yellow\nPurple Blue Orange Orange Brown Orange Blue\nGray Green Yellow Brown Purple Brown Red\nPink Red Blue Pink Purple Blue Green\nGray Pink Purple Green Brown Purple Pink\nYellow Blue Purple Green Pink Brown Blue\nPurple Purple Pink Yellow Orange Gray Gray\n\nOutput:\nBrown Brown Orange Pink Purple Blue Blue\nPink Red Brown Yellow Orange Gray Red\nBlue Orange Brown Yellow Gray Brown Orange\nOrange Green Red Orange Brown Red Yellow\nBlue Yellow Pink Gray Brown Gray Green\nBrown Red Purple Purple Gray Purple Red\nGreen Purple Pink Red Gray Green Pink\n\n\nExample 3\nInput:\nYellow Red Blue Purple Blue Orange Brown\nBlue Brown Gray Orange Blue Gray Yellow\nOrange Green Green Gray Brown Pink Yellow\nYellow Blue Gray Pink Green Blue Red\nBrown Green Blue Purple Orange Purple Green\nBrown Yellow Blue Brown Gray Yellow Blue\nPink Green Purple Yellow Red Orange Orange\nPurple Blue Orange Brown Yellow Green Purple\nBlue Yellow Purple Pink Pink Purple Pink\n\nOutput:\nRed Pink Brown Orange Orange Brown Orange\nBrown Red Purple Gray Pink Yellow Brown\nOrange Yellow Brown Pink Green Purple Purple\nGray Pink Red Gray Blue Pink Red\nGray Yellow Red Brown Purple Brown Yellow\nPink Red Blue Orange Yellow Red Green\nPurple Yellow Yellow Blue Gray Orange Pink\nRed Gray Blue Purple Red Blue Pink\nPink Green Red Brown Red Purple Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Purple Brown Yellow Blue Pink Gray Pink\nPurple Gray Brown Orange Purple Red Purple Pink Gray\nOrange Red Orange Purple Green Pink Brown Gray Green\nGreen Purple Brown Purple Gray Brown Yellow Pink Pink\nPurple Blue Yellow Yellow Orange Red Blue Brown Brown\nGreen Red Blue Blue Red Purple Orange Brown Gray\nPink Yellow Pink Green Pink Orange Orange Orange Brown\nRed Orange Blue Red Green Blue Pink Pink Blue\nYellow Blue Yellow Purple Green Orange 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```\nPink Red Pink Brown Yellow Purple Blue Orange Orange\nGreen Purple Red Green Yellow Red Orange Orange Red\nOrange Pink Orange Yellow Orange Purple Purple Purple Gray\nYellow Green Red Red Green Brown Purple Gray Blue\nBrown Red Pink Pink Purple Green Red Gray Gray\nYellow Brown Gray Brown Blue Gray Pink Orange Orange\nPurple Green Purple Brown Yellow Orange Gray Blue Yellow\nBrown Blue Gray Purple Brown Green Brown Orange Blue\nBlue Blue Brown Gray Pink Red Orange Blue Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green 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 Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\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 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 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\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\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\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\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\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\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\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\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\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\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 Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink 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 Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black\nBlack Black Black Black Green Green Green Black\nBlack Black Black Black Green Green Green Black\nBlack Black Black Black Green Green Green Black\nBlack Black Black Black Green Green Green Black\nBlack Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Green Green Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nYellow Yellow Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Blue Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Red Red Black Black Black Black Blue Black Black Black\nRed Red Red Red Black Black Black Blue Blue Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 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 Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Yellow Yellow Black Black Black\nPurple Purple Purple Purple Black Black Black Yellow Yellow Black Black Black\nPurple Purple Purple Purple 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 Red Red Red Black Black Black Black\nBlack Black Red Red Red Black Black Black Black\nBlack Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black\nRed Red Red Black Black Black Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black\nBlack Black Red Red Red Black Black Black Black\nBlack Black Red Red Red Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue\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 Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow 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 Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Black Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Black Black Yellow Black Yellow Black Black Black\nPurple Purple Purple Yellow Yellow Purple Purple Pink Purple Yellow Purple Purple Purple\nBlack Black Black Yellow Yellow Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Black Yellow Black Black Black\nRed Red Red Purple Purple Red Red Yellow Red Yellow Red Red Red\nPurple Purple Purple Pink Pink Purple Purple Yellow Purple Yellow Purple Purple Purple\nBlack Black Black Yellow Yellow Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nYellow Green Green Green Green Green Green Green Yellow Yellow Yellow Green\nYellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nYellow Green Green Green Green Green Green Green Yellow Yellow Yellow Green\nYellow Red Red Red Red Red Red Red Purple Purple Yellow Red\nYellow Green Green Green Green Green Green Green Yellow Yellow Yellow Green\nYellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nYellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nYellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nYellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nYellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nPurple Red Red Red Red Red Red Red Yellow Yellow Yellow Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Black Black Black Black Yellow Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow\nBlack Yellow Black Black Black Black Black Black Yellow Black Yellow Black\nRed Yellow Red Red Red Red Red Red Purple Red Yellow Red\nBlack Yellow Black Black Black Black Black Black Yellow Black Yellow Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Yellow Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Yellow Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Yellow Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Yellow Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Yellow Black\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nRed Yellow Red Red Red Red Red Red Red Purple Purple Red Red Red\nGreen Yellow Green Green Green Green Green Green Green Yellow Yellow Green Green Green\nBlack Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\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\nBlack Black Pink Orange Blue Blue Black\nBlack Black Blue Orange Brown Blue Black\nPurple Red Blue Black Blue Blue Blue\nPurple Blue Blue Black Black Black Black\nBlack Black Blue Purple Black Black Black\nBlack Black Black Green Green Green Black\nBlack Black Black Green Black Green Black\nBlack Black Black Green Black Black Black\nBlack Black Black Yellow Black Black Black\n\nOutput:\nBlack Black Black Yellow Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Green Black Green Black\nBlack Black Black Green Green Green Black\nBlack Black Blue Purple Black Black Black\nPurple Blue Blue Black Black Black Black\nPurple Red Blue Black Blue Blue Blue\nBlack Black Blue Orange Brown Blue Black\nBlack Black Pink Orange Blue Blue Black\nBlack Black Pink Orange Blue Blue Black\nBlack Black Blue Orange Brown Blue Black\nPurple Red Blue Black Blue Blue Blue\nPurple Blue Blue Black Black Black Black\nBlack Black Blue Purple Black Black Black\nBlack Black Black Green Green Green Black\nBlack Black Black Green Black Green Black\nBlack Black Black Green Black Black Black\nBlack Black Black Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Brown Black Black\nBlack Black Black Red Gray Green Green Green Green\nBlack Black Green Green Green Green Green Purple Green\nPurple Yellow Yellow Purple Purple Purple Orange Purple Purple\nBlack Black Brown Black Orange Yellow Yellow Purple Gray\n\nOutput:\nBlack Black Brown Black Orange Yellow Yellow Purple Gray\nPurple Yellow Yellow Purple Purple Purple Orange Purple Purple\nBlack Black Green Green Green Green Green Purple Green\nBlack Black Black Red Gray Green Green Green Green\nBlack Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Brown Black Black\nBlack Black Black Red Gray Green Green Green Green\nBlack Black Green Green Green Green Green Purple Green\nPurple Yellow Yellow Purple Purple Purple Orange Purple Purple\nBlack Black Brown Black Orange Yellow Yellow Purple Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Green Gray Purple Black Black Black\nPurple Purple Green Brown Yellow Gray Purple Purple\nPurple Yellow Yellow Yellow Yellow Gray Black Black\nGreen Brown Brown Yellow Yellow Black Black Black\n\nOutput:\nGreen Brown Brown Yellow Yellow Black Black Black\nPurple Yellow Yellow Yellow Yellow Gray Black Black\nPurple Purple Green Brown Yellow Gray Purple Purple\nBlack Black Green Gray Purple Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Green Gray Purple Black Black Black\nPurple Purple Green Brown Yellow Gray Purple Purple\nPurple Yellow Yellow Yellow Yellow Gray Black Black\nGreen Brown Brown Yellow Yellow Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlue Pink Pink Green Red Red Black Black\nYellow Brown Brown Green Pink Red Pink Black\nYellow Green Orange Gray Pink Pink Pink Black\nYellow Green Brown Brown Brown Yellow Green Purple\nYellow Brown Brown Brown Yellow Yellow Black Black\nGreen Red Red Purple Brown Black Black Black\nBlack Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black\nGreen Red Red Purple Brown Black Black Black\nYellow Brown Brown Brown Yellow Yellow Black Black\nYellow Green Brown Brown Brown Yellow Green Purple\nYellow Green Orange Gray Pink Pink Pink Black\nYellow Brown Brown Green Pink Red Pink Black\nBlue Pink Pink Green Red Red Black Black\nBlue Pink Pink Green Red Red Black Black\nYellow Brown Brown Green Pink Red Pink Black\nYellow Green Orange Gray Pink Pink Pink Black\nYellow Green Brown Brown Brown Yellow Green Purple\nYellow Brown Brown Brown Yellow Yellow Black Black\nGreen Red Red Purple Brown Black Black Black\nBlack Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Red Black Black Black Black\nRed Red Red Red Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple\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\nBlack Black Black Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Red Red Red Black\nYellow Yellow Yellow Red Red Red Black\nYellow Yellow Yellow Red Red Red Black\nYellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\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 Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Red Red Red Red Black Yellow Yellow Yellow Yellow Black\nBlack Black Red Red Red Red Black Yellow Yellow Yellow Yellow Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red 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 Purple Purple Purple Purple Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 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\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Purple\nBlack Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Purple Black Purple Black\nBlack Black Black Purple Black Black Black Purple\nBlack Black Purple Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nPurple 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 Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Black Black Black Orange Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Orange Black Black Black Orange Black\nBlack Black Black Orange Black Black Black Black Black Orange\nBlack Black Orange Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Black\nBlack Black Black Black Gray Black Black Black Black Black Gray\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Pink\nBlack Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Pink Black Black Black Pink\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Green Black\nGreen Green Green Green Green Green Black Black Green Green Green Green Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Green Green Green Green Green Black Black Black Black Black Green Black\nBlack Green Black Black Black Green Black Black Green Black Black Green Black\nBlack Green Green Green Green Green Black Black Green Green Green Green 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 Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Green Black\nBlue Blue Blue Blue Blue Blue Black Black Green Green Green Green Black\nBlue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Green Black\nBlack Blue Black Black Black Blue Black Black Green Black Black Green Black\nBlack Blue Blue Blue Blue Blue Black Black Green Green Green Green Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Green 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Green 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\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 Green Green Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\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 Green Green Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Yellow Black Black 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 Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Green Black Blue Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Blue Black Black Black Black Black Black Pink Pink Blue Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red 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 Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red 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 Red Red Red Red Red Black Black 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 Black Red Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Red Black Red Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Red Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\n\n\nExample 2\nInput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Blue Blue Green Blue Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Green Green Green Green Pink Black Black Black Black Black Black Blue Blue Blue Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Blue Blue Black\nBlack Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Yellow Black Black Black Black Green Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Red Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Black Black Red 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 Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red 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 Red Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Red Black Black Black Black Red Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Pink Green Black Black Black Green Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Blue Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black 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 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 Red Red Red Red Red Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Red 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 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 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 Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Red Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Red 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 Blue 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 Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Green Yellow Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Green Black Yellow Yellow Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink 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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Pink Black Black Green Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Blue Yellow Black Black Black Blue Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Blue Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Blue Blue Blue Blue Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink 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 Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Red Black Red Red Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black 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 Red 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Red Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Red Red Black Black Black Red 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Red Black Black Black Black Black Black Red Black Red 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 Red Black Red Red Red Red Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red 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 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 Red 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 Red Red Red Black\nBlack Black Black Black Red Red Red Black\nBlack Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black\nBlack Red Red Red Black Black Black Black\nBlack Red Red Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Red Red Black\nBlack Black Black Black Red Red Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black 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\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```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black\nRed Red Red 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:\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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\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:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\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\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange 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\nPink 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red 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 Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow 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 Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown 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 Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlue Blue Blue Blue Purple Purple Orange Orange\nBlue Blue Blue Blue Purple Purple Orange Orange\nPurple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Purple Purple Orange Orange Purple Purple\nOrange Orange Purple Purple Orange Orange Purple Purple\nBlue Blue Orange Orange Gray Gray Blue Blue\nBlue Blue Orange Orange Gray Gray Blue Blue\n\nOutput:\nBlue Blue Orange Orange Gray Gray Blue Blue\nBlue Blue Orange Orange Gray Gray Blue Blue\nOrange Orange Purple Purple Orange Orange Purple Purple\nOrange Orange Purple Purple Orange Orange Purple Purple\nPurple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Purple Purple Orange Orange\nBlue Blue Blue Blue Purple Purple Orange Orange\nBlue Blue Blue Blue Purple Purple Orange Orange\nBlue Blue Blue Blue Purple Purple Orange Orange\nPurple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Purple Purple Orange Orange Purple Purple\nOrange Orange Purple Purple Orange Orange Purple Purple\nBlue Blue Orange Orange Gray Gray Blue Blue\nBlue Blue Orange Orange Gray Gray Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Pink Pink Orange Orange Orange Orange\nOrange Orange Orange Orange Pink Pink Orange Orange Orange Orange\nOrange Orange Pink Pink Purple Purple Purple Purple Purple Purple\nOrange Orange Pink Pink Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Purple Purple Gray Gray Orange Orange\nOrange Orange Orange Orange Purple Purple Gray Gray Orange Orange\n\nOutput:\nOrange Orange Orange Orange Purple Purple Gray Gray Orange Orange\nOrange Orange Orange Orange Purple Purple Gray Gray Orange Orange\nOrange Orange Pink Pink Purple Purple Purple Purple Purple Purple\nOrange Orange Pink Pink Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Pink Pink Orange Orange Orange Orange\nOrange Orange Orange Orange Pink Pink Orange Orange Orange Orange\nOrange Orange Orange Orange Pink Pink Orange Orange Orange Orange\nOrange Orange Orange Orange Pink Pink Orange Orange Orange Orange\nOrange Orange Pink Pink Purple Purple Purple Purple Purple Purple\nOrange Orange Pink Pink Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Purple Purple Gray Gray Orange Orange\nOrange Orange Orange Orange Purple Purple Gray Gray Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nPink Pink Blue Blue Blue Blue Pink Pink Pink Pink\nPink Pink Blue Blue Blue Blue Pink Pink Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Pink Pink\n\nOutput:\nPink Pink Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Pink Pink Pink Pink\nPink Pink Blue Blue Blue Blue Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nPink Pink Blue Blue Blue Blue Pink Pink Pink Pink\nPink Pink Blue Blue Blue Blue Pink Pink Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nYellow Yellow Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Yellow Yellow\nBrown Brown Yellow Yellow Yellow Yellow\nBrown Brown Yellow Yellow Yellow Yellow\nYellow Yellow Brown Brown Blue Blue\nYellow Yellow Brown Brown Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Brown Brown Blue Blue\nYellow Yellow Brown Brown Blue Blue\nBrown Brown Yellow Yellow Yellow Yellow\nBrown Brown Yellow Yellow Yellow Yellow\nYellow Yellow Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Yellow Yellow\nBrown Brown Yellow Yellow Yellow Yellow\nBrown Brown Yellow Yellow Yellow Yellow\nYellow Yellow Brown Brown Blue Blue\nYellow Yellow Brown Brown Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Red Yellow Black Black Yellow Yellow Black Black Black\nBlack Red Yellow Black Black Black Yellow Yellow Black Yellow\nBlack Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Black\nBlack Black Black Yellow Yellow Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Yellow Black Black\n\nOutput:\nBlack Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Yellow Black Black Black Black\nBlack Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Yellow Black Black\nYellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black\nYellow Yellow Black Black Black Black Black Yellow Black Black\nRed Red Black Black Black Black Black Black Black Black\nYellow 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 Green Green Black Black Green Green\nBlack Green Black Black Red Red Black Green Black Green\nGreen Black Black Green Black Black Black Black Green Green\nGreen Black Green Black Black Black Green Black Black Green\nBlack Green Black Green Black Black Black Black Black Black\nGreen Black Black Green Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Green\nBlack Black Green Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\n\nOutput:\nBlack Green Green Green Green Black Black Green Black Black\nBlack Green Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Green\nBlack Black Black Black Green Black Black Black Black Black\nBlack Green Red Black Black Black Black Black Green Black\nBlack Green Red Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Green Black Black Black\nBlack Black Black Black Green Black Black Black Green Black\nBlack Black Green Black Black Green Black Green Black Black\nBlack Black Black Green Green Black Green Black Black Black\n\n\nExample 3\nInput:\nGreen Black Green Black Black Black Green Black Black Black\nBlack Black Green Green Black Green Black Black Black Black\nGreen Green Black Green Black Green Black Black Black Green\nBlack Black Green Black Green Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Green\nBlack Green Black Red Black Green Black Black Black Black\nBlack Green Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Green Black Green Green Green Black\n\nOutput:\nBlack Black Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green Black Green\nBlack Green Green Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Green\nBlack Green Green Black Red Red Black Black Black Black\nGreen Green Black Green Black Black Black Black Black Green\nBlack Black Green Black Black Green Green Black Black Black\nGreen Black Green Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Black Black Gray Black Black Black Gray Black\nGray Red Red Gray Gray Black Gray Black Black Black\nBlack Black Gray Black Black Black Black Gray Black Black\nGray Black Black Gray Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Gray Gray Gray\nBlack Black Black Black Black Gray Gray Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Gray Black Black Black Gray\nBlack Black Black Black Black Gray Black Gray Black Black\nBlack Gray Black Black Black Black Gray Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Gray Black Black Gray Black Black\nGray Black Black Black Gray Black Black Black Black Black\nBlack Black Gray Black Gray Black Black Black Gray Black\nBlack Gray Black Black Black Gray Black Black Black Gray\nBlack Black Black Gray Gray Gray Black Gray Gray Black\nGray Gray Black Black Gray Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black\nBlack Red Gray Black Black Black Black Gray Black Black\nGray Red Black Black Black Black Black Black Black Gray\nBlack Gray Black Gray Black Black Gray Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue 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 Orange\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Blue Black Blue Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Blue Black Blue Blue Blue Black Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black\nYellow Blue Blue Black Blue Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Yellow Black Black Blue Blue Black\nBlue Blue Black Black Blue Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black\nBlue Blue Blue Black Black Black Yellow Black Blue Blue Blue Blue Black Black Blue Blue Black\nBlue Blue Blue Black Black Yellow Yellow Yellow Blue Blue Blue Blue Black Black Blue Blue Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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\nYellow Black Black Red Black Red Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Red Black Red Red Red Black Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black\nYellow Red Red Black Red Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Yellow Black Black Red Red Black\nRed Red Black Black Red Black Black Black Red Red Red Red Black Black Red Red Black\nRed Red Red Black Black Black Yellow Black Red Red Red Red Black Black Red Red Black\nRed Red Red Black Black Yellow Yellow Yellow Red Red Red Red Black Black Red Red Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Blue Blue Black Black Black Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Blue Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue\nBlack Blue Blue Black Black Black Black Blue Black Black Blue Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Blue Black Black Blue Black Black Black Black\nBlack Black Yellow Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Yellow Yellow Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Black Blue Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Red Black Black Black Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Red Red Red Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Red Red Red Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red\nBlack Red Red Black Black Black Black Red Black Black Red Black Black Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Black Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Black Black Red Black Black Red Black Black Black Black\nBlack Black Yellow Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Red Black Red Black Yellow Yellow Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Red Black Red Black Yellow Yellow 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 Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Blue Black Blue Blue Blue Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Black Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Black Black Black\nBlack 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\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Blue 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 Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Red Black Red Red Red Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Black Red Red Red Red Red Black Yellow Yellow Yellow Yellow Black Black Black\nBlack 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\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Red Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Red 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\nYellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Blue Black Black\nBlack Black Blue Black Black Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Black Blue Blue Black Black Black Blue Blue Black Black Yellow\nBlack Blue Blue Black Black Blue Black Black Black Blue Black Black Black Yellow\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\nYellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Red Black Black\nBlack Black Red Black Black Red Black Black Red Red Red Red Black Black\nBlack Black Red Black Red Red Black Black Black Red Red Black Black Yellow\nBlack Red Red Black Black Red Black Black Black Red Black Black Black Yellow\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 Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Green Green Black Black Black Black Black Black 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 Green Green Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Green Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Green Green Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Green Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black 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 Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black 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 Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink\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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Green Green Green Green Yellow Black Black Black\nYellow Green Red Red Green Yellow Yellow Black Black\nYellow Green Red Red Green Yellow Yellow Black Black\nYellow Green Green Green Green Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Green Green Green Yellow Black Black Black Black\nYellow Red Red Green Yellow Yellow Black Black Black\nYellow Red Red Green Yellow Yellow Black Black Black\nYellow Green Green Green Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Green Green Green Yellow Black Black Black Black\nYellow Red Red Green Yellow Yellow Black Black Black\nYellow Red Red Green Yellow Yellow Black Black Black\nYellow Green Green Green Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow 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 Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Green Green Green Green Yellow Black Black\nBlack Yellow Green Red Red Green Yellow Yellow Black\nBlack Yellow Green Red Red Green Yellow Yellow Black\nBlack Yellow Green Green Green Green Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Purple Purple Blue Blue Purple Purple Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Pink Purple Purple Purple Pink\nBlack Black Black Black Black Black Blue Purple Black Yellow Blue Purple Black Yellow\nBlack Black Black Black Black Black Blue Pink Yellow Black Blue Pink Yellow Black\nBlack Black Black Black Black Black Purple Purple Blue Blue Purple Purple Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Pink Purple Purple Purple Pink\nBlack Black Black Black Black Black Blue Purple Black Yellow Blue Purple Black Yellow\nBlack Black Black Black Black Black Blue Pink Yellow Black Blue Pink Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple 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 Green Red Black Green Red\nBlack Black Black Black Black Black Black Black Green Purple Purple Green Purple Purple\nBlack Black Black Green Green Green Green Black Red Purple Purple Red Purple Purple\nBlack Black Black Green Green Black Green Black Black Green Red Black Green Red\nBlack Black Black Green Black Black Black Black Green Purple Purple Green Purple Purple\nBlack Black Black Green Green Black Green Black Red Purple Purple Red Purple Purple\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Green 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 Green Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Black Black Red Black\nBlack Black Black Black Black Blue Blue Red Blue Blue Red\nBlack Black Black Black Black Blue Blue Black Blue Blue Black\nBlack Black Black Black Black Black Red Black Black Red Black\nBlack Black Black Black Black Blue Blue Red Blue Blue Red\nBlack Black Black Black Black Blue Blue Black Blue Blue 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 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 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\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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Brown Blue Blue Brown Blue Blue\nBlack Black Black Black Black Brown Black Blue Brown Black Blue\nBlack Black Black Black Black Black Brown Brown Black Brown Brown\nBlack Black Black Black Black Brown Blue Blue Brown Blue Blue\nBlack Black Black Black Black Brown Black Blue Brown Black Blue\nBlack Black Black Black Black Black Brown Brown Black Brown Brown\nBlack Black Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Pink Blue 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\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 Gray Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Blue Black\nBlack 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 Blue 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 Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Red Blue 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 Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Pink Black Black Black Black\n\nOutput:\nBlack Black Blue Blue Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Pink Pink 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 Red Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Blue 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 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black\nBlack Orange Black Black Pink Black Black Orange\nOrange Black Black Black Yellow Black Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Black Blue Black Black Black\nPink Yellow Green Blue Red Blue Green Yellow\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Black Green Black Black Black\nOrange Black Black Black Yellow Black Black Black\nBlack Orange Black Black Pink Black Black Orange\nBlack Black Black 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 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Black Black Yellow Black Black Black Orange\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nOrange Pink Yellow Green Blue Red Blue Green Yellow Pink\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Orange Black Black Black Yellow Black Black Black Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Black Black Yellow Black Black Black Orange Black\nBlack Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black\nOrange Pink Yellow Green Blue Red Blue Green Yellow Pink Orange\nBlack Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black\nBlack Orange Black Black Black Yellow Black Black Black Orange 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Orange Black Black Pink Black Black Orange Black\nOrange Black Black Black Yellow Black Black Black Orange\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nPink Yellow Green Blue Red Blue Green Yellow Pink\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nOrange Black Black Black Yellow Black Black Black Orange\nBlack Orange Black Black Pink Black Black Orange Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Red Blue Black Blue Green Yellow Black\nOrange Blue Red Blue Black Blue Orange Green\nBlack Black Orange Red Black Orange Yellow Blue\nOrange Yellow Orange Black Red Green Black Green\nBlue Blue Blue Black Red Blue Green Green\nBlack Orange Red Orange Red Orange Yellow Blue\nYellow Yellow Orange Blue Black Blue Orange Yellow\nBlack Black Orange Blue Blue Blue Green Orange\nYellow Yellow Blue Black Red Green Red Orange\nBlue Red Black Yellow Orange Orange Green Yellow\n\nOutput:\nGray Blue Pink Gray Pink Orange Purple Gray\nBlue Pink Blue Pink Gray Pink Blue Orange\nGray Gray Blue Blue Gray Blue Purple Pink\nBlue Purple Blue Gray Blue Orange Gray Orange\nPink Pink Pink Gray Blue Pink Orange Orange\nGray Blue Blue Blue Blue Blue Purple Pink\nPurple Purple Blue Pink Gray Pink Blue Purple\nGray Gray Blue Pink Pink Pink Orange Blue\nPurple Purple Pink Gray Blue Orange Blue Blue\nPink Blue Gray Purple Blue Blue Orange Purple\n\n\nExample 2\nInput:\nOrange Red Black Blue Green Blue Yellow Red Yellow Blue\nOrange Red Orange Red Green Black Red Green Orange Green\nRed Red Black Red Yellow Yellow Red Orange Blue Red\nBlack Yellow Blue Blue Yellow Green Blue Blue Blue Black\nBlack Green Blue Red Yellow Black Red Yellow Orange Yellow\nOrange Green Orange Yellow Black Black Orange Green Red Yellow\nYellow Orange Black Green Black Yellow Blue Black Green Yellow\n\nOutput:\nBlue Blue Gray Pink Orange Pink Purple Blue Purple Pink\nBlue Blue Blue Blue Orange Gray Blue Orange Blue Orange\nBlue Blue Gray Blue Purple Purple Blue Blue Pink Blue\nGray Purple Pink Pink Purple Orange Pink Pink Pink Gray\nGray Orange Pink Blue Purple Gray Blue Purple Blue Purple\nBlue Orange Blue Purple Gray Gray Blue Orange Blue Purple\nPurple Blue Gray Orange Gray Purple Pink Gray Orange Purple\n\n\nExample 3\nInput:\nOrange Green Black Green Black Blue Yellow Yellow Red\nBlack Red Green Green Black Orange Black Red Blue\nRed Black Red Red Blue Orange Blue Blue Yellow\nGreen Yellow Black Black Yellow Green Orange Yellow Blue\nRed Green Orange Black Yellow Black Orange Black Green\nBlack Orange Red Black Blue Black Red Yellow Orange\nOrange Green Orange Red Yellow Red Green Orange Blue\n\nOutput:\nBlue Orange Gray Orange Gray Pink Purple Purple Blue\nGray Blue Orange Orange Gray Blue Gray Blue Pink\nBlue Gray Blue Blue Pink Blue Pink Pink Purple\nOrange Purple Gray Gray Purple Orange Blue Purple Pink\nBlue Orange Blue Gray Purple Gray Blue Gray Orange\nGray Blue Blue Gray Pink Gray Blue Purple Blue\nBlue Orange Blue Blue Purple Blue Orange Blue Pink\n\n\nHere is the input grid for the test example:\nInput:\nOrange Red Black Blue Orange Green Orange Black Black\nBlack Orange Black Orange Black Red Red Blue Yellow\nBlue Red Black Black Black Black Red Yellow Red\nOrange Green Red Orange Yellow Green Black Red Yellow\nBlue Yellow Red Green Red Green Green Black Black\nBlue Red Blue Orange Blue Orange Black Green Orange\nRed Red Green Green Yellow Green Blue Red Yellow\nOrange Red Yellow Orange Black Red Yellow Black Black\nGreen Green Red Green Blue Green Orange Orange 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```\nBlue Blue Gray Pink Blue Orange Blue Gray Gray\nGray Blue Gray Blue Gray Blue Blue Pink Purple\nPink Blue Gray Gray Gray Gray Blue Purple Blue\nBlue Orange Blue Blue Purple Orange Gray Blue Purple\nPink Purple Blue Orange Blue Orange Orange Gray Gray\nPink Blue Pink Blue Pink Blue Gray Orange Blue\nBlue Blue Orange Orange Purple Orange Pink Blue Purple\nBlue Blue Purple Blue Gray Blue Purple Gray Gray\nOrange Orange Blue Orange Pink Orange Blue Blue 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\nBlack Black Black Red Black\nBlack Black Black Black Black\nBlack Black Green Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Red Black Black\nBlack Red Red Red Black\nBlack Black Red Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nGreen Black Black Black Black\nBlack Black Red Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Red Black Black\nBlack Red Red Red Black\nBlack Black Red 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 Red\nBlack Black Black Black Black\nBlack Black Black Green Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Red\nBlack Black Black Red Red\nBlack Black Black Black Red\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Black Black Red\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Black Black\nBlack Red 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\nBlack Black Black Purple Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Orange Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Purple Pink Black Black Black\nBlack Pink Orange Black Orange Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Orange Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Orange Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Pink Black Black Black Black\nBlack Pink Orange Black Orange Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Orange Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Gray Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Gray Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Blue Black Black Black Black Black Black\nBlack 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 Blue Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Orange Brown Brown Brown\nBlack Black Black Black Pink Black Brown Pink Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black\nBlack Black Blue Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Orange Brown Brown Brown Black\nBlack Black Black Black Pink Black Brown Pink Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Gray Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Gray 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 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 Black Green Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Gray Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray 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 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 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\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 Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray 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 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 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\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 Yellow Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray 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\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 Yellow Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 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\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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Gray Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black 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 Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Gray Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Gray Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black 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 Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Gray Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Green Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow 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 Yellow Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Red Red Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Red Black Black Black\nBlack Red Red Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Red Red Red 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 Red Red Red Black Black\nBlack Black Red Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Red Red Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Red Red Red Black\nBlack Black Black Red Red Red Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Red Black Black\nBlack Red Red Black Red Black Black\nBlack Red Red Red Red Black Black\nBlack Red Red Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Red Red Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue\nGray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue\nGray Blue Gray Blue Gray\n\nOutput:\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray\n\n\nExample 2\nInput:\nGray Red Gray Red Gray\nRed Gray Red Gray Red\nGray Red Gray Red Gray\nRed Gray Red Gray Red\nGray Red Gray Red Gray\n\nOutput:\nGray Gray Red Red Gray Gray Red Red Gray Gray\nGray Gray Red Red Gray Gray Red Red Gray Gray\nRed Red Gray Gray Red Red Gray Gray Red Red\nRed Red Gray Gray Red Red Gray Gray Red Red\nGray Gray Red Red Gray Gray Red Red Gray Gray\nGray Gray Red Red Gray Gray Red Red Gray Gray\nRed Red Gray Gray Red Red Gray Gray Red Red\nRed Red Gray Gray Red Red Gray Gray Red Red\nGray Gray Red Red Gray Gray Red Red Gray Gray\nGray Gray Red Red Gray Gray Red Red Gray Gray\n\n\nExample 3\nInput:\nPink Red Pink Red Pink\nRed Pink Red Pink Red\nPink Red Pink Red Pink\nRed Pink Red Pink Red\nPink Red Pink Red Pink\n\nOutput:\nPink Pink Red Red Pink Pink Red Red Pink Pink\nPink Pink Red Red Pink Pink Red Red Pink Pink\nRed Red Pink Pink Red Red Pink Pink Red Red\nRed Red Pink Pink Red Red Pink Pink Red Red\nPink Pink Red Red Pink Pink Red Red Pink Pink\nPink Pink Red Red Pink Pink Red Red Pink Pink\nRed Red Pink Pink Red Red Pink Pink Red Red\nRed Red Pink Pink Red Red Pink Pink Red Red\nPink Pink Red Red Pink Pink Red Red Pink Pink\nPink Pink Red Red Pink Pink Red Red Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Green Yellow Green Yellow\nGreen Yellow Green Yellow Green\nYellow Green Yellow Green Yellow\nGreen Yellow Green Yellow Green\nYellow Green Yellow Green Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Green Green Yellow Yellow Green Green Yellow Yellow\nYellow Yellow Green Green Yellow Yellow Green Green Yellow Yellow\nGreen Green Yellow Yellow Green Green Yellow Yellow Green Green\nGreen Green Yellow Yellow Green Green Yellow Yellow Green Green\nYellow Yellow Green Green Yellow Yellow Green Green Yellow Yellow\nYellow Yellow Green Green Yellow Yellow Green Green Yellow Yellow\nGreen Green Yellow Yellow Green Green Yellow Yellow Green Green\nGreen Green Yellow Yellow Green Green Yellow Yellow Green Green\nYellow Yellow Green Green Yellow Yellow Green Green Yellow Yellow\nYellow Yellow Green Green Yellow Yellow Green Green Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlue Blue Black Black Black Black\nBlue Blue Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Blue Blue Black\nBlack Black Black Blue Blue Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Black Black Black Black\nBlue Blue Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Blue Blue Black Black\nBlack Black Blue Blue 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 3\nInput:\nBlack Black Black Black Black Black\nBlack Blue Blue Black Black Black\nBlack Blue Blue Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Blue Blue\nBlack Black Black Black Blue Blue\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 Blue Blue Black Black\nBlack Black Blue Blue Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Blue Blue\nBlack Black Black Black Blue Blue\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple 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 Green Green Green Green Green Green Green Green Green Green Green Green 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Green Green Green Green Green Green Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown 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 Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nRed Black Black Black Black Black Black Blue Black Green\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Brown Black Blue Black Gray Black Black Black\nBlack Black Black Green Black Black Black Yellow Black Black\nGreen Black Black Black Black Blue Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Green Black Black Black Brown Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Blue Black Green Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Blue Black Black Black Black Black Black Black Purple\nBlack Black Black Brown Black Black Black Red Black Red\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Red Black Red Black Yellow Green Black Black\nBlack Black Black Black Black Brown Orange Orange Black Brown\nBlack Yellow Black Green Black Brown Black Purple Orange Black\nBlack Black Black Black Green Black Yellow Brown Orange Black\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Orange Black Black Yellow Black Orange Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black Black Green Black\nBlue Blue Brown Black Black Orange Gray Green Black Black\nBlack Black Black Black Brown Black Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Brown Black\nBlack Black Black Yellow Yellow Gray Black Black Pink Black\nBlack Green Green Black Black Orange Black Black Black Black\nBlack Black Black Orange Green Black Brown Black Purple Purple\nGreen Yellow Black Pink Black Brown Black Pink Black Black\nYellow Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Pink Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue 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 Yellow Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Red Black Black Black Black Black Yellow Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Pink Yellow Black Green\nBlue Yellow Black Black Black Black Black Blue Black Yellow\nPurple Black Black Blue Black Black Black Yellow Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Blue Black Black Black Black Black Black Blue\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 Blue Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black 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\n\nOutput:\nBlack Black Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Black\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\nBlack Orange Orange Orange Orange Orange Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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\n\nOutput:\nBlack Black Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray 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 Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Orange Green Purple Purple Black Red Yellow Brown\nRed Gray Orange Yellow Pink Orange Black Brown Pink Green\nBlack Black Green Black Black Yellow Black Blue Blue Purple\nGreen Black Gray Black Green Green Gray Purple Black Gray\nPink Black Black Yellow Green Purple Red Black Pink Orange\nBlack Black Green Orange Black Purple Gray Black Purple Brown\nRed Black Red Black Black Yellow Black Black Black Brown\nPink Black Brown Black Brown Gray Green Black Purple Blue\nPink Gray Yellow Red Black Gray Gray Orange Blue Black\nBrown Black Yellow Black Red Purple Black Brown Black Orange\n\nOutput:\nRed Red Red Yellow Yellow Yellow Yellow Brown Brown Brown\nRed Red Red Yellow Yellow Yellow Yellow Brown Brown Brown\nGreen Green Green Green Green Yellow Yellow Yellow Yellow Green\nGreen Green Green Green Green Green Green Purple Purple Purple\nPink Pink Pink Yellow Green Purple Red Red Purple Purple\nRed Red Green Orange Orange Purple Gray Gray Purple Purple\nRed Red Red Red Red Yellow Yellow Yellow Yellow Purple\nPink Pink Brown Brown Brown Gray Green Green Purple Purple\nPink Gray Yellow Red Red Gray Gray Orange Blue Blue\nBrown Brown Yellow Yellow Red Purple Purple Brown Brown Brown\n\n\nExample 2\nInput:\nGreen Black Gray Purple Green Brown Blue Green Brown Yellow\nBlack Gray Black Gray Gray Yellow Orange Brown Green Red\nRed Black Orange Black Gray Pink Orange Black Orange Black\nGray Yellow Green Blue Red Black Gray Black Yellow Black\nBlue Gray Yellow Black Orange Yellow Blue Black Black Black\nGray Black Brown Pink Brown Black Purple Black Red Green\nOrange Purple Gray Purple Purple Black Brown Pink Black Pink\nBlack Red Black Red Blue Brown Orange Red Brown Black\nBrown Pink Black Yellow Pink Purple Gray Red Purple Purple\nBlack Green Orange Brown Green Black Black Yellow Yellow Green\n\nOutput:\nGray Gray Gray Blue Blue Yellow Yellow Brown Brown Yellow\nRed Gray Gray Orange Orange Yellow Yellow Brown Brown Yellow\nRed Red Orange Orange Orange Orange Orange Red Red Red\nGray Yellow Green Blue Red Red Red Red Yellow Yellow\nBlue Gray Yellow Yellow Orange Yellow Yellow Yellow Yellow Yellow\nGray Gray Brown Pink Brown Brown Brown Brown Red Red\nOrange Purple Gray Purple Purple Purple Brown Brown Brown Red\nBrown Red Red Red Blue Brown Orange Red Red Red\nBrown Pink Pink Yellow Pink Purple Purple Red Red Red\nBlack Green Orange Brown Green Green Green Yellow Yellow Yellow\n\n\nExample 3\nInput:\nPink Gray Black Black Blue Black Red Orange Red Yellow\nOrange Pink Black Blue Brown Black Blue Purple Black Green\nRed Brown Pink Gray Black Black Red Yellow Brown Purple\nBlack Orange Black Blue Green Green Pink Brown Brown Gray\nBlack Green Black Black Green Blue Gray Blue Yellow Green\nPurple Brown Pink Gray Black Gray Green Purple Pink Black\nYellow Brown Black Pink Gray Yellow Black Blue Gray Pink\nBrown Yellow Gray Blue Black Red Orange Purple Pink Brown\nGreen Pink Red Black Pink Blue Brown Green Black Red\nGray Pink Black Gray Red Purple Black Brown Red Black\n\nOutput:\nOrange Orange Orange Blue Blue Orange Orange Orange Yellow Yellow\nOrange Orange Orange Blue Blue Orange Orange Orange Yellow Yellow\nRed Brown Brown Brown Brown Red Red Yellow Yellow Yellow\nPurple Orange Orange Blue Green Green Green Brown Brown Green\nPurple Green Green Green Green Blue Gray Gray Yellow Yellow\nPurple Brown Pink Gray Gray Gray Green Purple Purple Purple\nYellow Brown Brown Pink Gray Yellow Yellow Yellow Gray Gray\nBrown Yellow Gray Blue Blue Red Orange Purple Pink Pink\nGreen Pink Red Red Pink Blue Brown Green Green Green\nGray Pink Pink Gray Red Purple Purple Brown Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Pink Purple Red Black Black Black Brown Black\nBlue Purple Gray Orange Blue Blue Purple Black Orange Brown\nOrange Gray Black Black Purple Black Pink Green Orange Purple\nOrange Black Brown Black Pink Green Yellow Pink Red Black\nOrange Blue Black Black Black Black Black Black Yellow Yellow\nBrown Blue Black Green Purple Purple Black Orange Black Purple\nBlack Orange Blue Purple Black Black Orange Purple Orange Green\nBrown Red Yellow Purple Yellow Brown Gray Blue Blue Pink\nBlack Yellow Brown Black Green Black Red Brown Brown Black\nRed Black Red Brown Green Red Green 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```\nBrown Purple Purple Purple Brown Brown Brown Brown Brown Black\nOrange Purple Purple Purple Purple Purple Purple Orange Orange Brown\nOrange Gray Gray Orange Purple Purple Purple Orange Orange Brown\nOrange Orange Brown Brown Pink Green Green Green Brown Brown\nOrange Blue Blue Blue Blue Blue Orange Orange Orange Purple\nBrown Blue Blue Green Purple Purple Purple Orange Orange Purple\nBrown Orange Blue Purple Purple Purple Orange Purple Purple Purple\nBrown Red Yellow Purple Yellow Brown Brown Brown Brown Brown\nRed Yellow Brown Brown Green Green Red Brown Brown Brown\nRed Red Red Brown Green Red Green Green Green Green\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Orange Gray Purple Orange Gray Purple Orange\nBlack Gray Purple Orange Gray Purple Orange Gray\nBlack Black Orange Gray Purple Orange Gray Purple\nBlack Black Black Purple Orange Gray Purple Orange\nBlack Black Black Black Gray Purple Orange Gray\nBlack Black Black Black Black Orange Gray Purple\nBlack Black Black Black Black Black Purple Orange\nBlack Black Black Black Black Black Black Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Yellow 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 Green Green 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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Orange Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Gray 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Yellow Blue Red Orange Green Gray\nBlack Blue Red Orange Green Gray Yellow\nBlack Black Orange Green Gray Yellow Blue\nBlack Black Black Gray Yellow Blue Red\nBlack Black Black Black Blue Red Orange\nBlack Black Black Black Black Orange Green\nBlack Black Black Black Black Black Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Gray Brown Yellow Gray Brown Yellow Gray Brown\nBlack Brown Yellow Gray Brown Yellow Gray Brown Yellow\nBlack Black Gray Brown Yellow Gray Brown Yellow Gray\nBlack Black Black Yellow Gray Brown Yellow Gray Brown\nBlack Black Black Black Brown Yellow Gray Brown Yellow\nBlack Black Black Black Black Gray Brown Yellow Gray\nBlack Black Black Black Black Black Yellow Gray Brown\nBlack Black Black Black Black Black Black Brown Yellow\nBlack Black Black Black Black Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Orange Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Gray Orange Brown Pink Green Gray Orange Brown\nBlack Orange Brown Pink Green Gray Orange Brown Pink\nBlack Black Pink Green Gray Orange Brown Pink Green\nBlack Black Black Gray Orange Brown Pink Green Gray\nBlack Black Black Black Brown Pink Green Gray Orange\nBlack Black Black Black Black Green Gray Orange Brown\nBlack Black Black Black Black Black Orange Brown Pink\nBlack Black Black Black Black Black Black Pink Green\nBlack Black Black Black Black 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:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink\nPink Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Pink\nPink Yellow Pink Brown Brown Brown Brown Brown Brown Brown Pink Yellow Pink\nPink Yellow Pink Brown Brown Brown Brown Brown Brown Brown Pink Yellow Pink\nPink Yellow Pink Brown Brown Brown Brown Brown Brown Brown Pink Yellow Pink\nPink Yellow Pink Brown Brown Brown Brown Brown Brown Brown Pink Yellow Pink\nPink Yellow Pink Brown Brown Brown Brown Brown Brown Brown Pink Yellow Pink\nPink Yellow Pink Brown Brown Brown Brown Brown Brown Brown Pink Yellow Pink\nPink Yellow Pink Brown Brown Brown Brown Brown Brown Brown Pink Yellow Pink\nPink Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Pink\nPink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange\nOrange Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Orange\nOrange Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Orange\nOrange Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Orange\nOrange Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Orange\nOrange Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Orange\nOrange Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Orange\nOrange Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Orange\nOrange Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray\nGray Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Gray\nGray Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Gray\nGray Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Gray\nGray Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Gray\nGray Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Gray\nGray Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Gray\nGray Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Gray\nGray Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Gray\nGray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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 Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black\nBlack Black Black Black Black Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Green Green Green Green Black\nBlack Black Green Green Green Green Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Gray Gray Gray 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 Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Gray Black Black Pink Black Black Red Red Black Black Black Black Black Black Black Black Purple Purple\nBlack Gray 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 Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Gray Black Black Pink Black Black Red Red Black Black Black Black Black Black Black Red Red Red\nBlack Gray 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Green Green Green 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 Black\nBlack Green Green Green Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple 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 Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\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 Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green 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 Black\nBlack Green Green Green Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 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 Blue Blue Blue 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 Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black 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 Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nRed Red Black 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 Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black 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 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 Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlue Black Blue Blue Blue Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlue Black Blue Blue Blue Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Blue Black Blue Black Black Blue Black Black Black Blue Blue Blue Black Black Blue Blue\nBlack Blue Black Blue Black Black Blue Black Black Black Blue Blue Blue Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Black Black Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue 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\nYellow Black Pink Pink Pink Black Black Black Black Pink Pink Pink Black Black Black Black Black\nYellow Black Pink Pink Pink Black Black Black Black Pink Pink Pink Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Yellow Black Yellow Black Black Yellow Black Black Black Pink Pink Pink Black Black Pink Pink\nBlack Yellow Black Yellow Black Black Yellow Black Black Black Pink Pink Pink Black Black Black Black\nBlack Yellow Black Black Black Black Yellow Black Black Black Pink Pink Pink 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 Yellow Yellow\nBlack Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Black Black Black Yellow Yellow\nBlack Black Black Pink Pink Pink Pink Black Black 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 Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Blue 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 Blue Blue Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Blue Blue Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Black Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black Black\nBlack Black Black Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Pink Pink Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black\n\n\nExample 3\nInput:\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Blue Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Black Black Black Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Black Black Black Blue Blue Black Black Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Blue\nBlack Black Black Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Blue\nBlack 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\n\nOutput:\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Yellow Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Yellow Black Black Black Pink Pink Black Black Pink Pink Pink Pink\nBlack Black Black Black Yellow Black Black Black Pink Pink Black Black Pink Pink Pink Pink\nYellow Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nYellow Black Black Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black Black Yellow\nBlack Black Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black Black Yellow\nBlack Black Black Black Black Black Black Black 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\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Blue Blue Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Black Black Pink Pink Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Red Yellow Gray Pink Orange Brown Purple Red Yellow Brown\nYellow Red Red Blue Purple Green Gray Brown Brown Pink Blue Orange\nRed Purple Green Yellow Pink Brown Purple Gray Purple Orange Green Brown\nBlue Yellow Green Gray Purple Gray Green Green Gray Green Orange Pink\nPurple Green Pink Brown Orange Pink Yellow Orange Gray Red Purple Blue\nBrown Blue Purple Pink Pink Brown Yellow Red Purple Purple Green Orange\nGreen Brown Red Brown Purple Yellow Purple Red Red Green Yellow Gray\nGray Green Pink Pink Red Red Yellow Red Brown Purple Red Orange\n\nOutput:\nGray Red Red Yellow Gray Pink Orange Brown Brown Red Yellow Brown\nRed Red Red Yellow Purple Green Gray Brown Purple Pink Blue Brown\nRed Red Green Yellow Purple Brown Gray Purple Gray Green Orange Brown\nBlue Green Green Gray Gray Gray Green Gray Green Orange Green Pink\nPurple Green Green Pink Pink Pink Yellow Orange Gray Purple Purple Blue\nBrown Brown Pink Brown Pink Pink Yellow Red Red Green Purple Orange\nBrown Green Brown Pink Purple Purple Yellow Red Red Purple Green Orange\nGreen Green Pink Pink Red Yellow Red Red Red Purple Red Orange\n\n\nExample 2\nInput:\nYellow Pink Brown Green Yellow Yellow Green Brown Orange Green\nBrown Blue Red Red Purple Purple Red Gray Purple Pink\nPink Brown Purple Purple Gray Purple Orange Brown Red Orange\nGray Blue Green Red Purple Brown Pink Brown Gray Pink\nGray Red Blue Green Yellow Gray Blue Yellow Orange Yellow\nGray Gray Gray Orange Orange Pink Gray Orange Red Yellow\nBrown Green Purple Gray Green Red Green Brown Orange Yellow\n\nOutput:\nYellow Pink Brown Green Yellow Yellow Green Brown Orange Green\nBrown Brown Red Purple Purple Purple Red Brown Purple Pink\nBrown Blue Purple Red Purple Purple Orange Brown Red Pink\nGray Blue Blue Purple Purple Purple Brown Brown Gray Pink\nGray Blue Green Green Yellow Gray Gray Orange Yellow Yellow\nGray Gray Gray Gray Orange Gray Gray Orange Orange Yellow\nBrown Green Gray Gray Green Green Green Orange Orange Yellow\n\n\nExample 3\nInput:\nPink Red Pink Green Red Brown Purple Red Gray Pink Gray\nPurple Orange Red Blue Gray Yellow Brown Red Green Brown Blue\nPurple Pink Gray Blue Yellow Gray Pink Brown Yellow Brown Pink\nGray Blue Green Green Pink Purple Green Gray Gray Pink Brown\nGray Brown Brown Pink Green Green Blue Orange Green Yellow Blue\nBlue Pink Orange Purple Brown Yellow Red Gray Pink Brown Red\nYellow Red Orange Red Blue Gray Pink Green Purple Blue Brown\n\nOutput:\nPink Pink Red Green Red Brown Brown Red Gray Gray Gray\nPurple Red Red Blue Yellow Brown Brown Brown Green Brown Blue\nPurple Pink Gray Blue Gray Yellow Brown Brown Brown Pink Brown\nGray Blue Green Pink Green Green Green Gray Gray Brown Pink\nGray Brown Brown Green Pink Green Green Gray Green Yellow Blue\nBlue Pink Orange Purple Brown Yellow Red Gray Pink Brown Brown\nYellow Red Red Red Blue Gray Pink Green Purple Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBrown Yellow Blue Green Red Green Brown Red Red\nYellow Purple Yellow Red Brown Brown Brown Red Green\nOrange Purple Blue Orange Pink Blue Blue Gray Brown\nOrange Purple Purple Green Blue Brown Green Orange Purple\nGreen Pink Brown Orange Yellow Yellow Blue Orange Purple\nOrange Green Pink Purple Gray Orange Red Pink Yellow\nOrange Purple Blue Blue Orange Gray Purple Blue Purple\nGreen Pink Red Green Brown Red Purple Pink Brown\nPink Orange Blue Orange Pink Gray Yellow Gray 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```\nYellow Yellow Yellow Red Green Brown Brown Red Red\nYellow Yellow Blue Red Red Brown Brown Red Red\nOrange Purple Purple Orange Blue Brown Blue Gray Brown\nOrange Purple Purple Orange Blue Blue Blue Orange Purple\nOrange Green Pink Orange Yellow Yellow Blue Orange Purple\nGreen Pink Pink Purple Orange Gray Red Pink Purple\nOrange Purple Blue Blue Gray Orange Purple Pink Purple\nPink Pink Blue Green Brown Gray Purple Pink Brown\nPink Pink Orange Orange Pink Gray Gray Gray 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 Blue Red Red Blue Blue Black Black Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Red Red Blue Blue Black Black Blue Blue\nRed Red Black Black Red Red Black Black Black Black Red Red Black Black Black Black\nRed Red Black Black Red Red Black Black Black Black Red Red Black Black Black Black\nBlue Blue Black Black Red Red Red Red Black Black Black Black Blue Blue Blue Blue\nBlue Blue Black Black Red Red Red Red Black Black Black Black Blue Blue Blue Blue\nRed Red Black Black Red Red Black Black Red Red Red Red Blue Blue Black Black\nRed Red Black Black Red Red Black Black Red Red Red Red Blue Blue Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Red Red Blue Blue Blue Blue\nBlue Blue Black Black Black Black Blue Blue Black Black Red Red Blue Blue Blue Blue\nRed Red Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black\nRed Red Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Red Red\nBlue Blue Red Red Black Black Black Black Red Red Blue Blue Black Black Blue Blue\nBlue Blue Red Red Black Black Black Black Red Red Blue Blue Black Black Blue Blue\n\nOutput:\nBlack Black Blue Blue Blue Blue Blue Blue Red Red Blue Blue Black Black Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Red Red Blue Blue Black Black Blue Blue\nRed Red Black Black Red Red Black Black Black Black Red Red Black Black Black Black\nRed Red Black Black Red Red Black Black Black Black Red Red Black Black Black Black\nGreen Green Black Black Red Red Red Red Black Black Black Black Blue Blue Blue Blue\nGreen Green Black Black Red Red Red Red Black Black Black Black Blue Blue Blue Blue\nRed Red Black Black Red Red Black Black Red Red Red Red Blue Blue Black Black\nRed Red Black Black Red Red Black Black Red Red Red Red Blue Blue Black Black\nGreen Green Black Black Black Black Blue Blue Black Black Red Red Blue Blue Blue Blue\nGreen Green Black Black Black Black Blue Blue Black Black Red Red Blue Blue Blue Blue\nRed Red Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black\nRed Red Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Red Red\nBlue Blue Red Red Black Black Black Black Red Red Blue Blue Black Black Blue Blue\nBlue Blue Red Red Black Black Black Black Red Red Blue Blue Black Black Blue Blue\n\n\nExample 2\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Red Red Red Red\nBlue Blue Black Black Black Black Black Black Black Black Red Red Red Red\nBlue Blue Blue Blue Black Black Blue Blue Red Red Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Blue Blue Blue Blue Blue Blue Red Red Black Black Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Red Red Black Black Blue Blue\nRed Red Red Red Red Red Blue Blue Black Black Black Black Red Red\nRed Red Red Red Red Red Blue Blue Black Black Black Black Red Red\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Black Black Black Black Black Black Black Black Red Red Red Red\nBlue Blue Black Black Black Black Black Black Black Black Red Red Red Red\nBlue Blue Blue Blue Black Black Blue Blue Red Red Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Blue Blue Green Green Blue Blue Red Red Black Black Blue Blue\nRed Red Blue Blue Green Green Blue Blue Red Red Black Black Blue Blue\nRed Red Red Red Red Red Blue Blue Black Black Black Black Red Red\nRed Red Red Red Red Red Blue Blue Black Black Black Black Red Red\nBlack Black Black Black Green Green Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Green Green Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Red Black Black Blue Blue Red Red Black Black Red Red Black Black\nRed Red Black Black Blue Blue Red Red Black Black Red Red Black Black\nRed Red Black Black Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue\nRed Red Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Blue Blue Black Black\nRed Red Red Red Black Black Black Black Black Black Blue Blue Black Black\nBlue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nRed Red Black Black Red Red Black Black Black Black Blue Blue Black Black\nRed Red Black Black Red Red Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Red Red Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Red Red Black Black Black Black\n\nOutput:\nRed Red Black Black Green Green Red Red Black Black Red Red Black Black\nRed Red Black Black Green Green Red Red Black Black Red Red Black Black\nRed Red Black Black Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue\nRed Red Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Blue Blue Black Black\nRed Red Red Red Black Black Black Black Black Black Blue Blue Black Black\nBlue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nRed Red Black Black Red Red Black Black Black Black Blue Blue Black Black\nRed Red Black Black Red Red Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Red Red Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Red Red Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Black Black Red Red Black Black Red Red Black Black Red Red Blue Blue\nBlue Blue Black Black Black Black Red Red Black Black Red Red Black Black Red Red Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Red Red Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Red Red Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Blue Blue Red Red Black Black Red Red\nBlack Black Black Black Red Red Black Black Red Red Blue Blue Red Red Black Black Red Red\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Black Black Black Black\nBlack Black Blue Blue Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue\nBlack Black Blue Blue Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue\nRed Red Red Red Black Black Red Red Red Red Blue Blue Black Black Blue Blue Red Red\nRed Red Red Red Black Black Red Red Red Red Blue Blue Black Black Blue Blue Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Black Black Black Black Red Red Black Black Red Red Black Black Red Red Blue Blue\nBlue Blue Black Black Black Black Red Red Black Black Red Red Black Black Red Red Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Red Red Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Red Red Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Blue Blue Green Green Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Blue Blue Green Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Blue Blue Red Red Black Black Red Red\nBlack Black Black Black Red Red Black Black Red Red Blue Blue Red Red Black Black Red Red\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Green Green Black Black Blue Blue\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Green Green Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Black Black Black Black\nBlack Black Blue Blue Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue\nBlack Black Blue Blue Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue\nRed Red Red Red Black Black Red Red Red Red Blue Blue Black Black Blue Blue Red Red\nRed Red Red Red Black Black Red Red Red Red Blue Blue Black Black Blue Blue 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:\nPurple Brown Pink Yellow Pink\nGreen Brown Orange Pink Gray\nOrange Brown Orange Orange Green\nGray Pink Blue Orange Gray\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Brown Yellow Green Gray Green Black\nBlack Orange Yellow Red Green Blue Black\nBlack Red Yellow Red Red Orange Black\nBlack Blue Green Pink Red Blue Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Blue Yellow Orange\nGray Blue Pink Green\nBlue Brown Orange Red\nBrown Gray Brown Purple\nBrown Purple Purple Brown\n\nOutput:\nBlack Black Black Black Black Black\nBlack Purple Pink Gray Red Black\nBlack Blue Pink Green Orange Black\nBlack Pink Yellow Red Purple Black\nBlack Yellow Blue Yellow Brown Black\nBlack Yellow Brown Brown Yellow Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Yellow Yellow Brown Gray\nPink Purple Orange Blue Green\nPurple Blue Pink Gray Orange\nBlue Purple Green Orange Yellow\nGray Orange Green Brown Blue\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Purple Gray Gray Yellow Blue Black\nBlack Green Brown Red Pink Orange Black\nBlack Brown Pink Green Blue Red Black\nBlack Pink Brown Orange Red Gray Black\nBlack Blue Red Orange Yellow Pink Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Gray Pink\nGray Brown Pink\nPink 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 Black Black Black Black\nBlack Orange Blue Green Black\nBlack Blue Yellow Green Black\nBlack Green Pink Yellow 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 Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow 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 Yellow Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown\nBrown Brown Black Black\nBrown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Orange Black Black\nBlack Black Purple Purple Purple Black Black Black Orange Orange Black Black\nBlack Black Purple Black Purple Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple\nPurple Purple Purple\nPurple Purple Purple\nPurple Black Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink\nPink Pink Black Black\nPink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray\nGray Gray\nGray Gray\nGray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Yellow\nYellow Yellow Black Black Black Black Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Green Green Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Black Green Black Black Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Green Green Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Green\nBlack Black Black Green Black Green Black Black Green Green\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Black\nBlack Black Green Green Black Black Green Green Green Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Black\nBlack Green Green Black Black Black Green Green Green Black\nGreen Green Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Green Green Black Black Green Green Green Black\nBlack Black Green Green Green Black Black Black Black Green\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Black\nBlack Green Green Black Black Black Green Green Green Black\nGreen Green Green Black Black Black Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Gray Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Gray Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Gray Black Black Gray Gray Gray Black Black\nGray Gray Gray Black Black Gray Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Gray Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Gray Black Gray\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Black Gray Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Gray Black Black\nGray Black Gray Black Black Gray Gray Gray Gray Black\nGray Gray Gray Black Black Gray Black Gray Black Gray\nBlack Black Black Gray Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Black Black Purple Purple\nBlack Black Black Black Black Black Black Purple Purple\n\nOutput:\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black\nBlack Black Black Green Green Black Black Green Green\nBlack Black Black Black Black Black Black Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black\nBlack Blue Blue Orange Orange Black Black Black Black\nBlack Blue Blue Orange Orange Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black\nBlack Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Green 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Yellow Yellow\nBlack Black Black Orange Orange Brown Brown Yellow Yellow\nBlack Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green\nBlack Black Black Green Green Green Green Green Green\nBlack Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Green Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Pink Blue Orange Orange Orange Black\nBlack Black Black Blue Black Orange Blue Black\nBlack Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Pink Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Black Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Brown Black Blue Blue Black Black\nBlack Brown Green Blue Blue Green Black\nBlack Brown Blue Green Green Blue Black\nBlack Brown Black Black Black Black Black\nBlack Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Yellow Black Blue Blue Black Black\nBlack Yellow Green Blue Blue Green Black\nBlack Yellow Blue Green Green Blue Black\nBlack Yellow Black Black Black Black Black\nBlack Yellow 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 Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Pink Blue Blue Black\nBlack Black Black Black Pink Blue Black\nBlack Black Pink Pink Pink Blue Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Pink Blue Blue Black\nBlack Black Black Black Pink Blue Black\nBlack Black Pink Pink Pink Blue Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Yellow Black Black Green Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Gray Black\nBlack Black Orange Orange Orange Orange Orange Gray Black\nBlack Black Black Black Black Orange Black Gray Black\nBlack Black Orange Orange Orange Orange Orange 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 Gray Black\nBlack Black Black Black Yellow Black Black Green Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Gray Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Gray Black\nBlack Black Black Black Black Yellow Black Gray Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
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