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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 Red\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 Pink Brown Orange Black Black Black\nBlack Black Black Black Black Black Gray Orange Gray Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Red\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 Pink Brown Orange Black Black Black\nBlack Black Black Black Black Black Gray Orange Gray Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black 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 Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Yellow 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:\nBlack Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Yellow 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\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Red\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Gray Gray Green Black Black Black Black Black Black Black\nBlack Black Black Black Gray Green 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 Red 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Gray Gray Green Black Black Black Black Black Black Black\nBlack Black Black Black Gray Green 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 Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlue Blue Yellow Black Black Black Red Red Red Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlack Black Green Green Green Blue Black Blue Blue Blue\nBlack Black Green Green Green Green Green Blue Blue Blue\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nGreen Green Pink Black Black Black Blue Blue Blue Black\nGreen Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Green Green Green\nBlack Black Orange Orange Orange Green Black Green Green Green\nBlack Black Orange Orange Orange Orange Orange Green Green Green\nBlack Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Red Red Black\nBlue Blue Blue Blue Blue Black Black Red Red Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Green Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Red Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Blue Blue Black\nGreen Green Green Green Green Black Black Blue Blue Black\nGreen Green Green Green Green Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Orange Black\nPink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nGreen Green Red Red Red Black Black Black Black Black\nGreen Green Red Red Red Black Black Black Black Black\nYellow Yellow Red Red Red Black Black Black Black Black\nYellow Blue Blue Blue Black Black Black Black Black Black\nYellow Blue Blue Blue Blue Blue Black Black Black Black\nRed Red Red Blue Blue Blue Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Pink Pink Black\nOrange Orange Blue Blue Blue Black Black Black Black Black\nOrange Orange Blue Blue Blue Black Black Black Black Black\nPink Pink Blue Blue Blue Black Black Black Black Black\nPink Green Green Green Black Black Black Black Black Black\nPink Green Green Green Green Green Black Black Black Black\nBlue Blue Blue Green Green Green Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Blue Black Black Red Red Red\nBlack Black Black Black Black Blue Blue Blue Red Red\nBlack Black Black Black Black Blue Blue Blue Red Red\nBlue Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Green Black Black Blue Blue Blue\nBlack Black Black Black Black Green Green Green Blue Blue\nBlack Black Black Black Black Green Green Green Blue Blue\nGreen Black Black Black Black Green Green Green 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:\nGray Black Brown Black Gray Black Brown Black Brown Black Red Black\nGreen Gray Brown Black Blue Black Gray Yellow Black Black Black Gray\nYellow Red Black Black Black Black Black Black Black Green Red Yellow\nGray Black Black Black Black Green Black Brown Blue Black Green Black\nBlack Yellow Black Brown Black Gray Black Black Black Black Black Black\nBlack Black Red Black Black Black Gray Black Black Black Brown Black\nGreen Black Gray Black Green Black Yellow Black Black Black Green Black\nBlack Yellow Black Black Green Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Green Green Green Green Green Green Green Green Green Green Gray\nGray Green Brown Brown Brown Brown Brown Brown Brown Brown Green Gray\nGray Green Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Green Gray\nGray Green Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Green Gray\nGray Green Brown Brown Brown Brown Brown Brown Brown Brown Green Gray\nGray Green Green Green Green Green Green Green Green Green Green Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Purple Gray Gray Pink Black Gray Red\nPurple Gray Black Black Black Purple Red Black Black Orange\nPink Red Black Black Orange Pink Black Black Red Purple\nBlack Black Gray Pink Black Black Black Purple Black Red\nPink Pink Purple Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Pink Black Black\nRed Black Purple Black Red Black Black Black Pink Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Red Red Red Red Red Red Red Red Pink\nPink Red Purple Purple Purple Purple Purple Purple Red Pink\nPink Red Purple Gray Gray Gray Gray Purple Red Pink\nPink Red Purple Purple Purple Purple Purple Purple Red Pink\nPink Red Red Red Red Red Red Red Red Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nGray Black Black Pink Green Black Black Black Black Black Orange\nBlack Black Orange Orange Blue Purple Red Green Gray Blue Green\nOrange Black Black Pink Black Black Blue Black Black Pink Pink\nRed Black Black Black Black Purple Black Black Green Blue Black\nPurple Black Purple Black Pink Black Black Black Black Black Pink\nRed Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Blue Green Black Orange Blue Orange Black Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Blue Blue Blue Blue Blue Blue Blue Pink Orange\nOrange Pink Blue Green Green Green Green Green Blue Pink Orange\nOrange Pink Blue Blue Blue Blue Blue Blue Blue Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Orange Pink Black Orange Black Blue\nPurple Black Blue Black Black Black Red Black Black\nBlack Black Orange Pink Black Orange Black Yellow Blue\nBlack Pink Black Black Brown Black Orange Red Orange\nOrange Purple Black Black Blue Black Black Black Black\nBlue Black Black Black Black Black Blue Black Black\nBlack Black Red Black Pink Black Orange Black Black\nBlack Black Black Brown Black Brown Black Red Black\nBlack Black Orange Brown Pink Brown Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Blue Blue Blue Blue Blue Blue Orange\nOrange Blue Brown Brown Brown Brown Brown Blue Orange\nOrange Blue Brown Pink Pink Pink Brown Blue Orange\nOrange Blue Brown Pink Red Pink Brown Blue Orange\nOrange Blue Brown Pink Pink Pink Brown Blue Orange\nOrange Blue Brown Brown Brown Brown Brown Blue Orange\nOrange Blue Blue Blue Blue Blue Blue Blue Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Purple Orange Black Black Black Green Black Black\nBlack Black Purple Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Yellow Yellow Yellow Black Black Black\nOrange Gray Pink Gray Red Black Black Black Black Black\nBlue Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Gray Black Gray Blue Black Black Black\n\nOutput:\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Black Orange Orange Orange Black Black Black\nBlack Black Purple Orange Orange Orange Orange Green Black Black\nBlack Black Purple Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Blue Orange Orange Orange Black Black Black\nOrange Gray Pink Gray Orange Orange Orange Black Black Black\nBlue Brown Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Gray Orange Orange Orange Black Black Black\n\n\nExample 2\nInput:\nYellow Black Black Black Red Black Orange Black Black Black\nBlack Black Black Black Black Red Black Black Black Blue\nBlack Black Black Black Black Black Black Pink Black Purple\nPink Black Black Blue Green Green Green Black Black Black\nBlack Gray Black Black Green Green Green Black Black Black\nBlack Gray Black Black Green Green Green Black Purple Black\nBlack Black Black Black Orange Black Orange Black Black Pink\nBlack Black Gray Black Black Black Black Black Purple Purple\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Black Red Brown Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Blue\nBlack Black Black Black Purple Purple Purple Pink Black Purple\nPink Black Black Blue Purple Purple Purple Black Black Black\nBlack Gray Black Black Purple Purple Purple Black Black Black\nBlack Gray Black Black Purple Purple Purple Black Purple Black\nBlack Black Black Black Purple Purple Purple Black Black Pink\nBlack Black Gray Black Purple Purple Purple Black Purple Purple\nBlack Gray Black Black Purple Purple Purple Black Black Black\nBlack Black Black Red Purple Purple Purple Black Black Black\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black Blue Black Gray\nBlack Black Brown Black Black Pink Black Black Black Black\nBlack Gray Black Black Black Black Brown Black Black Brown\nBlack Orange Black Black Green Green Green Black Black Brown\nBlack Black Black Red Green Green Green Purple Black Purple\nBlack Orange Red Black Green Green Green Black Black Black\nPink Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Gray Black Yellow\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Pink Black Red Black Black Black Blue Black\n\nOutput:\nPurple Black Black Black Gray Gray Gray Blue Black Gray\nBlack Black Brown Black Gray Gray Gray Black Black Black\nBlack Gray Black Black Gray Gray Gray Black Black Brown\nBlack Orange Black Black Gray Gray Gray Black Black Brown\nBlack Black Black Red Gray Gray Gray Purple Black Purple\nBlack Orange Red Black Gray Gray Gray Black Black Black\nPink Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Yellow\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Pink Black Gray Gray Gray Black Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Brown Black Black Black Black Brown Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nPink Green Black Black Gray Gray Gray Black Black Black\nBlack Black Black Pink Gray Gray Gray Red Brown Black\nBlack Green Purple Black Black Brown Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Yellow Black Green Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Brown Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Green Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Red Brown Black\nBlack Green Purple Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Yellow 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 Brown Pink Black Brown Pink Yellow Purple\nYellow Black Blue Orange Black Black Orange Black\nBlack Black Purple Green Purple Green Black Red\nPink Black Orange Black Yellow 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\n\nOutput:\nBlack Brown Pink Black Brown Pink Yellow Purple\nYellow Black Blue Orange Black Black Orange Black\nBlack Black Purple Green Purple Green Black Red\nPink Black Orange Black Yellow Orange Black Black\nPink Black Orange Black Yellow Orange Black Black\nBlack Black Purple Green Purple Green Black Green\nYellow Black Yellow Orange Black Black Orange Black\nBlack Brown Pink Black Brown Pink Yellow Purple\n\n\nExample 2\nInput:\nBlack Black Brown Red Black Red Black Orange\nBlack Green Black Orange Pink Purple Brown Brown\nPurple Blue Black Blue Purple Blue Orange Black\nBlack Yellow Black Black Black Pink Gray 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 Brown Red Black Red Black Orange\nBlack Green Black Orange Pink Purple Brown Brown\nPurple Blue Black Blue Purple Blue Orange Black\nBlack Yellow Black Black Black Pink Gray Black\nBlack Yellow Black Black Black Pink Gray Black\nPurple Yellow Black Yellow Purple Yellow Orange Black\nBlack Green Black Orange Pink Purple Brown Brown\nBlack Black Brown Green Black Green Black Orange\n\n\nExample 3\nInput:\nBlack Gray Pink Blue Black Red Black Black\nBlack Gray Brown Black Purple Green Yellow Black\nBlack Black Brown Brown Black Black Gray Orange\nBrown Orange Black Black Black Blue 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 Gray Pink Blue Black Red Black Black\nBlack Gray Brown Black Purple Green Yellow Black\nBlack Black Brown Brown Black Black Gray Orange\nBrown Orange Black Black Black Blue Black Black\nBrown Orange Black Black Black Yellow Black Black\nBlack Black Brown Brown Black Black Gray Orange\nBlack Gray Brown Black Purple Green Yellow Black\nBlack Gray Pink Yellow Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Blue Black Black Black Gray Black\nPink Black Yellow Purple Black Orange Black Black\nPurple Black Purple Brown Black Black Blue Black\nRed Black Purple Black Black Green 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Blue Black Black Black Gray Black\nPink Black Yellow Purple Black Orange Black Black\nPurple Black Purple Brown Black Black Blue Black\nRed Black Purple Black Black Green Red Black\nGreen Black Purple Black Black Green Green Black\nPurple Black Purple Brown Black Black Yellow Black\nPink Black Yellow Purple Black Orange Black Black\nGray Black Yellow Black Black Black Gray 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green 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\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 Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nGreen Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Red Red Red Red\nGreen Green Green Green Green Green Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Purple Black Black Black Black Brown Yellow Black Black Black\nBlack Black Black Black Black Purple Black Purple Purple Black Gray Brown Blue Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Purple Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Purple Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Yellow Brown Pink Red Black Black Black Yellow Blue Black Black Black Black\nBlack Black Black Black Pink Brown Pink Red Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Purple Black Black Black Black Yellow Blue\nBlack Purple Black Purple Purple Black Gray Brown Yellow Brown\nBlack Black Black Black Brown Brown Blue Blue Purple Purple\nBlack Black Black Purple Brown Brown Black Black Black Black\nBlack Black Black Purple Black Purple Purple Black Black Black\nYellow Brown Pink Red Black Black Black Black Black Black\nPink Brown Pink Red 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\nYellow Gray Gray Yellow Black Black Black Black Black Black Black Black Black Black Black\nRed Gray Gray Red Black Black Black Black Black Black Black Black Yellow Black Black\nRed Black Black Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Purple Black Brown Brown Black Black Black Black\n\nOutput:\nYellow Gray Purple Purple\nRed Green Blue Blue\nRed Black Brown Purple\nBlack Black Brown Brown\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 Purple Blue Brown Brown Black Black Black Blue Pink Gray Black Black Black Black Black\nBlack Purple Blue Brown Brown Black Black Black Black Orange Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Pink Blue 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 Pink Red Red Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Purple Purple Pink Black Black Black Black Black Black Black\n\nOutput:\nPink Red Red Pink\nBlue Purple Purple Pink\nBlack Blue Pink Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Brown Black Black Black\nBlack Black Black Black Black Brown Brown 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 Gray Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Gray Purple Blue Pink Pink Black Black Black Black Black Black\nBlack Purple Purple Gray Purple Blue Pink Pink Black Black Black Black Black Black\nBlack Black Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Yellow\nPurple Purple Gray\nPurple Purple Gray\nBlack Pink 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 Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Gray Gray Black Black Blue Blue Red Red Red Red Black Black Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Gray Gray Black Black Blue Blue Red Red Red Red Black Black Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Pink Pink Pink Pink Pink Pink Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nOrange Orange Pink Pink Pink Pink Pink Pink Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nOrange Orange Pink Pink Pink Pink Pink Pink Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nOrange Orange Pink Pink Pink Pink Pink Pink Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nOrange Orange Black Black Pink Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink\nOrange Orange Black Black Pink Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink\nBlack Black Black Black Green Green Green Green Green Green Green Green Gray Gray Gray Gray Brown Brown Brown Brown Black Black Pink Pink\nBlack Black Black Black Green Green Green Green Green Green Green Green Gray Gray Gray Gray Brown Brown Brown Brown Black Black Pink Pink\nPink Pink Green Green Black Black Black Black Black Black Black Black Gray Gray Gray Gray Brown Brown Brown Brown Blue Blue Pink Pink\nPink Pink Green Green Black Black Black Black Black Black Black Black Gray Gray Gray Gray Brown Brown Brown Brown Blue Blue Pink Pink\nPink Pink Green Green Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue Pink Pink\nPink Pink Green Green Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue Pink Pink\nPink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Orange Orange Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Orange Orange Black Black\nBrown Brown Black Black Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Black Black Black Black\nBrown Brown Black Black Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\n\nOutput:\nBlack Black Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Gray Gray Black Black Blue Blue Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Gray Gray Black Black Blue Blue Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Black Black Pink Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink\nOrange Orange Black Black Pink Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink\nBlack Black Black Black Green Green Green Green Green Green Green Green Gray Gray Gray Gray Brown Brown Brown Brown Black Black Pink Pink\nBlack Black Black Black Green Green Green Green Green Green Green Green Gray Gray Gray Gray Brown Brown Brown Brown Black Black Pink Pink\nPink Pink Green Green Black Black Black Black Black Black Black Black Gray Gray Gray Gray Brown Brown Brown Brown Blue Blue Pink Pink\nPink Pink Green Green Black Black Black Black Black Black Black Black Gray Gray Gray Gray Brown Brown Brown Brown Blue Blue Pink Pink\nPink Pink Green Green Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue Pink Pink\nPink Pink Green Green Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue Pink Pink\nPink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBrown Brown Black Black Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBrown Brown Black Black Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Purple Purple Black Black Red Red Red Red Red Red Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Red Red Red Red Red Red Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Red Red Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Red Red Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Red Red Red Red Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Red Red Red Red Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Red Red Red Red Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Red Red Red Red Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nRed Red Black Black Red Red Green Green Green Green Green Green Green Green Black Black Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nRed Red Black Black Red Red Green Green Green Green Green Green Green Green Black Black Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Black Black Red Red Red Red Pink Pink Pink Pink Pink Pink Black Black\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Black Black Red Red Red Red Pink Pink Pink Pink Pink Pink Black Black\nRed Red Red Red Red Red Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Orange Orange\nRed Red Red Red Red Red Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Gray Gray Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Gray Gray Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue 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 Black Black Orange Orange Orange Orange Orange Orange Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Orange Orange Orange Orange Orange Orange Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Orange Orange Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Orange Orange Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Orange Orange Orange Orange Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Orange Orange Orange Orange Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Orange Orange Orange Orange Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Orange Orange Orange Orange Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Black Black Orange Orange Green Green Green Green Green Green Green Green Black Black Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Black Black Orange Orange Green Green Green Green Green Green Green Green Black Black Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Black Black\nOrange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Gray Gray Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Gray Gray Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue 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 Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nRed Red Red Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Black Black Black Black Gray Gray Gray Gray\nRed Red Red Red Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Black Black Black Black Gray Gray Gray Gray\nBlack Black Brown Brown Brown Brown Black Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Green Green Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Green Black Black Black Black\nBlack Black Brown Brown Black Black Green Green Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Green Black Black Black Black\nBrown Brown Brown Brown Black Black Green Green Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Gray Gray Gray Gray\nBrown Brown Brown Brown Black Black Green Green Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Gray Gray Gray Gray\nBlack Black Black Black Black Black Green Green Black Black Pink Pink Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray\nBlack Black Black Black Black Black Green Green Black Black Pink Pink Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Red Red Gray Gray Gray Gray\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Red Red Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black Gray Gray Gray Gray Black Black Black Black Red Red Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black Gray Gray Gray Gray Black Black Black Black Red Red Black Black\nBlack Black Black Black Gray Gray Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Red Red Black Black\nBlack Black Black Black Gray Gray Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Orange Orange Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Orange Orange Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Black Black Black Black Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Black Black Black Black Gray Gray Gray Gray\nBlack Black Brown Brown Brown Brown Black Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Green Green Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Green Black Black Black Black\nBlack Black Brown Brown Black Black Green Green Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Green Black Black Black Black\nBrown Brown Brown Brown Black Black Green Green Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Gray Gray Gray Gray\nBrown Brown Brown Brown Black Black Green Green Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Gray Gray Gray Gray\nBlack Black Black Black Black Black Green Green Black Black Pink Pink Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray\nBlack Black Black Black Black Black Green Green Black Black Pink Pink Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black Gray Gray Gray Gray Black Black Black Black Orange Orange Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black Gray Gray Gray Gray Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Gray Gray Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Gray Gray Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Orange Orange Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Orange Orange Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Black Black Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Black Black Black Black Brown Brown\nOrange Orange Black Black Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Black Black Black Black Brown Brown\nBlack Black Black Black Red Red Black Black Gray Gray Purple Purple Blue Blue Blue Blue Black Black Black Black Brown Brown\nBlack Black Black Black Red Red Black Black Gray Gray Purple Purple Blue Blue Blue Blue Black Black Black Black Brown Brown\nBlack Black Red Red Red Red Red Red Gray Gray Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Red Red Red Red Red Red Gray Gray Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Red Red Black Black Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Red Red Black Black Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Pink Pink Black Black Gray Gray Black Black Black Black Blue Blue Blue Blue Green Green Green Green\nBlack Black Black Black Pink Pink Black Black Gray Gray Black Black Black Black Blue Blue Blue Blue Green Green Green Green\nBlack Black Black Black Pink Pink Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black\nPurple Purple Black Black Orange Orange Orange Orange Orange Orange Gray Gray Black Black Black Black Pink Pink Pink Pink Pink Pink\nPurple Purple Black Black Orange Orange Orange Orange Orange Orange Gray Gray Black Black Black Black Pink Pink Pink Pink Pink Pink\nPurple Purple Black Black Orange Orange Orange Orange Orange Orange Gray Gray Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Orange Orange Orange Orange Orange Orange Gray Gray Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Purple Purple Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Purple Purple Purple Purple\nBlack Black Purple Purple Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Yellow Yellow Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Black Black Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Black Black Black Black Brown Brown\nOrange Orange Black Black Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Black Black Black Black Brown Brown\nBlack Black Black Black Orange Orange Black Black Gray Gray Purple Purple Blue Blue Blue Blue Black Black Black Black Brown Brown\nBlack Black Black Black Orange Orange Black Black Gray Gray Purple Purple Blue Blue Blue Blue Black Black Black Black Brown Brown\nBlack Black Orange Orange Orange Orange Orange Orange Gray Gray Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Orange Orange Orange Orange Orange Orange Gray Gray Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Orange Orange Black Black Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Orange Orange Black Black Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Pink Pink Black Black Gray Gray Black Black Black Black Blue Blue Blue Blue Green Green Green Green\nBlack Black Black Black Pink Pink Black Black Gray Gray Black Black Black Black Blue Blue Blue Blue Green Green Green Green\nBlack Black Black Black Pink Pink Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black\nPurple Purple Black Black Orange Orange Orange Orange Orange Orange Gray Gray Black Black Black Black Pink Pink Pink Pink Pink Pink\nPurple Purple Black Black Orange Orange Orange Orange Orange Orange Gray Gray Black Black Black Black Pink Pink Pink Pink Pink Pink\nPurple Purple Black Black Orange Orange Orange Orange Orange Orange Gray Gray Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Orange Orange Orange Orange Orange Orange Gray Gray Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Purple Purple Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Purple Purple Purple Purple\nBlack Black Purple Purple Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Yellow Yellow Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Red Black Black Black Black Black\nBlack Black Red Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red 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\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 Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Red Black Black Black Red Red Red Black Black Black Black\nBlack Black Red Red Red Black Black Black Red Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Red Black Black\nBlack Black Red Red Red Black Black Black Black Black Red Red Red Black\nBlack Black Black Red Black Black Black Black Black Black Black Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"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 Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Green Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Green Green Green Black\nBlack Black Black Blue Black Black Black Black Black Black Black Green Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Brown Brown Brown Brown Brown Brown Brown Brown Purple\nBlue Brown Brown Brown Brown Brown Brown Brown Brown Purple\nBlue Brown Brown Brown Brown Brown Brown Brown Brown Purple\nBlue Brown Brown Brown Brown Brown Brown Brown Brown Purple\nBlue Brown Brown Brown Brown Brown Brown Brown Brown Purple\nBlue Brown Brown Brown Brown Brown Brown Brown Brown Purple\nBlue Brown Brown Brown Brown Brown Brown Brown Brown Purple\nBlue Brown Brown Brown Brown Brown Brown Brown Brown Purple\nBlue Brown Brown Brown Brown Brown Brown Brown Brown Purple\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Green Green Green Green Green Green Green Green Pink\nPurple Brown Brown Brown Brown Brown Brown Brown Brown Pink\nPurple Brown Brown Brown Brown Brown Brown Brown Brown Pink\nPurple Brown Brown Brown Brown Brown Brown Brown Brown Pink\nPurple Brown Brown Brown Brown Brown Brown Brown Brown Pink\nPurple Brown Brown Brown Brown Brown Brown Brown Brown Pink\nPurple Brown Brown Brown Brown Brown Brown Brown Brown Pink\nPurple Brown Brown Brown Brown Brown Brown Brown Brown Pink\nPurple Brown Brown Brown Brown Brown Brown Brown Brown Pink\nPurple Orange Orange Orange Orange Orange Orange Orange Orange Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Gray Gray Gray Gray Gray Gray Gray Gray Blue\nGreen Purple Purple Purple Purple Purple Purple Purple Purple Blue\nGreen Purple Purple Purple Purple Purple Purple Purple Purple Blue\nGreen Purple Purple Purple Purple Purple Purple Purple Purple Blue\nGreen Purple Purple Purple Purple Purple Purple Purple Purple Blue\nGreen Purple Purple Purple Purple Purple Purple Purple Purple Blue\nGreen Purple Purple Purple Purple Purple Purple Purple Purple Blue\nGreen Purple Purple Purple Purple Purple Purple Purple Purple Blue\nGreen Purple Purple Purple Purple Purple Purple Purple Purple Blue\nGreen Pink Pink Pink Pink Pink Pink Pink Pink Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Red Red Red Red Red Red Red Red Purple\nGray Red Red Red Red Red Red Red Red Purple\nGray Red Red Red Red Red Red Red Red Purple\nGray Red Red Red Red Red Red Red Red Purple\nGray Red Red Red Red Red Red Red Red Purple\nGray Red Red Red Red Red Red Red Red Purple\nGray Red Red Red Red Red Red Red Red Purple\nGray Red Red Red Red Red Red Red Red Purple\nGray Red Red Red Red Red Red Red Red Purple\nGray Brown Brown Brown Brown Brown Brown Brown Brown Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray 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 Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue 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 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\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Green Green Black Black Orange Orange Black Black Black Black Black Black Yellow Yellow Black Black Purple Purple\nBlack Black Green Green Black Black Orange Orange Black Black Black Black Black Black Yellow Yellow Black Black Purple Purple\nBlack Black Black Black Gray Gray Purple Purple Black Black Pink Pink Yellow Yellow Black Black Black Black Red Red\nBlack Black Black Black Gray Gray Purple Purple Black Black Pink Pink Yellow Yellow Black Black Black Black Red Red\nPink Pink Black Black Black Black Black Black Purple Purple Yellow Yellow Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Purple Purple Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black\nBlue Blue Gray Gray Pink Pink Yellow Yellow Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlue Blue Gray Gray Pink Pink Yellow Yellow Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Brown Brown Yellow Yellow Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green\nBlack Black Brown Brown Yellow Yellow Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Purple Purple Black Black Black Black Black Black Black Black Pink Pink Black Black Orange Orange Black Black\nYellow Yellow Purple Purple Black Black Black Black Black Black Black Black Pink Pink Black Black Orange Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Green Green Black Black Orange Orange Black Black Black Black Black Black Blue Blue Black Black Purple Purple\nBlack Black Green Green Black Black Orange Orange Black Black Black Black Black Black Blue Blue Black Black Purple Purple\nBlack Black Black Black Gray Gray Purple Purple Black Black Pink Pink Blue Blue Black Black Black Black Red Red\nBlack Black Black Black Gray Gray Purple Purple Black Black Pink Pink Blue Blue Black Black Black Black Red Red\nPink Pink Black Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Orange Orange Black Black Black Black Black Black Black Black\nBlue Blue Gray Gray Pink Pink Blue Blue Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlue Blue Gray Gray Pink Pink Blue Blue Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Brown Brown Blue Blue Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green\nBlack Black Brown Brown Blue Blue Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Purple Purple Black Black Black Black Black Black Black Black Pink Pink Black Black Orange Orange Black Black\nBlue Blue Purple Purple Black Black Black Black Black Black Black Black Pink Pink Black Black Orange Orange Black Black\n\n\nExample 2\nInput:\nPurple Purple Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green\nPurple Purple Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Green Green Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Green Green Black Black Red Red\nYellow Yellow Black Black Black Black Blue Blue Black Black Black Black Green Green Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Blue Blue Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Purple Purple Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Purple Purple Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Yellow Yellow Pink Pink Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Green Green Green Green Yellow Yellow Pink Pink Black Black Black Black Brown Brown Brown Brown\nBlack Black Purple Purple Green Green Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nGray Gray Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Purple Purple Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nGreen Green Black Black Purple Purple Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\n\nOutput:\nPurple Purple Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Red Red\nPurple Purple Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Purple Purple Pink Pink Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Red Red Black Black Red Red\nYellow Yellow Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Purple Purple Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Purple Purple Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Red Red Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Red Red Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Yellow Yellow Pink Pink Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Green Green Red Red Yellow Yellow Pink Pink Black Black Black Black Brown Brown Brown Brown\nBlack Black Purple Purple Red Red Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Red Red Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nGray Gray Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Purple Purple Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nRed Red Black Black Purple Purple Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Gray Gray Black Black Gray Gray Black Black Green Green Black Black Blue Blue\nBlack Black Blue Blue Black Black Gray Gray Black Black Gray Gray Black Black Green Green Black Black Blue Blue\nBlack Black Pink Pink Orange Orange Black Black Black Black Black Black Green Green Green Green Pink Pink Yellow Yellow\nBlack Black Pink Pink Orange Orange Black Black Black Black Black Black Green Green Green Green Pink Pink Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Green Green Red Red Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Green Green Red Red Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nYellow Yellow Green Green Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Green Green\nYellow Yellow Green Green Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Green Green\nGreen Green Black Black Orange Orange Black Black Blue Blue Pink Pink Black Black Black Black Green Green Black Black\nGreen Green Black Black Orange Orange Black Black Blue Blue Pink Pink Black Black Black Black Green Green Black Black\n\nOutput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlue Blue Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Blue Blue Black Black Gray Gray Black Black Gray Gray Black Black Red Red Black Black Blue Blue\nBlack Black Blue Blue Black Black Gray Gray Black Black Gray Gray Black Black Red Red Black Black Blue Blue\nBlack Black Pink Pink Orange Orange Black Black Black Black Black Black Red Red Green Green Pink Pink Yellow Yellow\nBlack Black Pink Pink Orange Orange Black Black Black Black Black Black Red Red Green Green Pink Pink Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Red Red Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Red Red Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Gray Gray Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Red Red Gray Gray Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Red Red Red Red Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Red Red Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nYellow Yellow Red Red Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Green Green\nYellow Yellow Red Red Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Green Green\nRed Red Black Black Orange Orange Black Black Blue Blue Pink Pink Black Black Black Black Green Green Black Black\nRed Red Black Black Orange Orange Black Black Blue Blue Pink Pink Black Black Black Black Green Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Green Green Black Black Black Black Black Black Pink Pink Red Red Black Black Purple Purple\nBlack Black Black Black Green Green Black Black Black Black Black Black Pink Pink Red Red Black Black Purple Purple\nBrown Brown Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Purple Purple Black Black\nBrown Brown Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Purple Purple Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Green Green Purple Purple Black Black Green Green Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Green Green Purple Purple Black Black Green Green Black Black Black Black\nBlack Black Yellow Yellow Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Red Red Black Black\nBlack Black Yellow Yellow Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Pink Pink Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Purple Purple Black Black Pink Pink Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Green Green Black Black Black Black Blue Blue Green Green Pink Pink Black Black Black Black\nPurple Purple Black Black Green Green Black Black Black Black Blue Blue Green Green Pink Pink Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Green Green Black Black Black Black Black Black Pink Pink Red Red Black Black Brown Brown\nBlack Black Black Black Green Green Black Black Black Black Black Black Pink Pink Red Red Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Brown Brown Black Black\nBrown Brown Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Brown Brown Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Green Green Brown Brown Black Black Green Green Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Green Green Brown Brown Black Black Green Green Black Black Black Black\nBlack Black Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Red Red Black Black\nBlack Black Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Pink Pink Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Brown Brown Black Black Pink Pink Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Brown Brown Black Black Black Black 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 Black Black Black Black\nBrown Brown Black Black Green Green Black Black Black Black Blue Blue Green Green Pink Pink Black Black Black Black\nBrown Brown Black Black Green Green Black Black Black Black Blue Blue Green Green 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Black Brown Black Black Black Black\nBlack Yellow Black Black Black Black Black\nYellow Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\n\nOutput:\nBlack Yellow Black Orange Black Black Black\nBlack Black Yellow Black Black Black Black\nGreen Black Black Brown Black Green Black\nOrange Black Brown Black Black Black Black\nBlack Yellow Black Black Black Black Black\nYellow Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black\nBrown Black Black Black Black Gray Black\nBlack Black Black Pink Black Black Black\nGray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Red Black\n\nOutput:\nBlack Black Gray Black Brown Black Black\nBlack Black Black Black Purple Red Black\nBrown Black Black Black Black Gray Black\nBlack Black Black Pink Black Black Black\nGray Black Black Black Black Purple Black\nRed Black Black Black Gray Red Black\nBlack Black Black Black Black Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Brown Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Brown Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Black Black Blue Black Blue Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlack Blue Black Black Black Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Blue Black Black Black Blue\nBlue Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Blue Black Black Black Blue\nBlue Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Blue Black Black Black Blue\nBlue Black Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlue Blue Blue 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 Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Blue Black Black Black Blue Black Black Black Black Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\n\nOutput:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Yellow Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlack Yellow Black Black Black Yellow Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Blue Blue Blue Blue Blue Black Yellow Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Yellow Black Blue Blue Blue Blue Blue Black Yellow Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Yellow Black Blue Blue Blue Blue Blue Black Yellow Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Yellow Black Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Blue Black\nBlack Black Blue Black Blue Black Black Blue Blue Blue Blue Black\nBlack Black Blue Black Blue Black Black Blue Blue Blue Blue Black\nBlack Black Blue Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Yellow Yellow Yellow Black Black Blue Blue Blue Blue Black\nBlack Black Yellow Black Yellow Black Black Blue Blue Blue Blue Black\nBlack Black Yellow Black Yellow Black Black Blue Blue Blue Blue Black\nBlack Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue\nBlack Blue Black Black Black Black Blue Black Black Blue Blue Blue Blue Blue\nBlack Blue Black Black Black Black Blue Black Black Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue\nBlue Black Black Blue Black Black Blue Blue Blue Blue Black Blue Black Blue\nBlue Black Black Blue Black Black Blue Blue Blue Blue Black Blue Black Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue\nBlack Yellow Black Black Black Black Yellow Black Black Blue Blue Blue Blue Blue\nBlack Yellow Black Black Black Black Yellow Black Black Blue Blue Blue Blue Blue\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Black Black Yellow Black Black Blue Blue Blue Blue Black Yellow Black Yellow\nYellow Black Black Yellow Black Black Blue Blue Blue Blue Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Black Orange Black Orange Black Orange Orange Black Black Orange Black Orange Orange Orange Black Orange\nBlack Orange Orange Orange Orange Black Orange Orange Black Black Orange Black Black Orange Orange Black Orange Orange Orange Black\nOrange Orange Black Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Black Black Orange Black\nOrange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Blue Blue Blue Orange Black\nBlack Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Blue Blue Blue Black Orange\nOrange Orange Orange Black Orange Orange Orange Black Orange Black Orange Black Black Orange Orange Blue Blue Blue Orange Orange\nOrange Black Black Orange Orange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Black Black Orange Orange Orange Orange Orange Black Black Orange Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Black Orange Black Black Black Orange\nOrange Black Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Black Black Black Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Black Orange Orange Black Black Orange Orange Black Orange Black Orange Orange Black Orange Black Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Black Orange Black Orange Black Orange Orange Orange Orange Black Orange Black\nOrange Orange Orange Black Orange Black Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Black Black\nBlack Orange Orange Black Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black 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 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen Green Black Black Green Green Green Green Black Black Green Green Black Green Green Green Green Green Green Green\nGreen Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Black Green Green\nGreen Green Black Green Green Black Black Green Black Green Green Green Green Green Green Black Black Green Green Green\nBlack Green Green Green Black Green Green Black Green Green Black Green Green Black Green Green Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green Black Green Green Green Black Green Black Green Black Black\nBlack Black Green Green Black Green Black Green Green Green Black Green Green Black Black Green Green Green Green Green\nGreen Green Black Black Green Black Green Black Green Green Green Green Black Green Black Black Green Black Green Green\nGreen Green Green Green Green Green Black Green Green Green Green Green Black Green Green Green Black Green Green Green\nBlack Green Green Black Black Green Black Green Green Green Green Green Black Green Black Green Black Black Green Green\nBlack Green Green Black Green Green Black Black Green Black Green Green Black Black Green Green Green Black Green Green\nBlack Black Green Black Green Black Green Green Green Black Green Green Green Green Green Green Black Green Green Black\nGreen Green Green Black Green Green Green Green Green Black Green Green Black Black Green Green Black Green Green Green\nGreen Green Black Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Green Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green\nGreen Green Green Black Green Green Black Green Blue Blue Blue Green Green Green Green Green Black Green Green Green\nBlack Green Green Black Green Green Green Black Blue Blue Blue Green Black Green Green Green Green Green Black Black\nGreen Green Black Black Green Green Green Black Blue Blue Blue Black Black Black Green Black Black Green Green Green\nBlack Green Green Green Black Green Green Green Green Green Green Black Green Black Green Green Green Black Black Green\nGreen Black Green Black Black Green Green Green Black Black Green Black Green Green Green Black Green Green Black Black\nBlack Green Black Green Black Green Green Green Black Black Green Green Black Green Green Black Black Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Green Green Black Green Green Green Black Green Black Green Black Green Green Green Green Black Black\nBlack Green Black Black Black Green Green Green Green Green Green Black Green Black Green Green Green Green Green Green\nBlack Green Black Green Green Black Green Black Green Green Green Green Black Green Black Black Green Green Black Green\nBlack Green Green Green Green Green Green Black Green Black Green Black Green Green Green Green Black Green Green Green\nGreen Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Green Green\nGreen Green Black Green Green Green Black Green Green Black Black Green Green Green Green Green Green Black Black Green\nBlack Green Green Black Black Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Black Green Green Green Green Black Green Green Green Black Green Green Green Green\nGreen Black Black Green Green Green Black Green Black Black Green Green Black Green Black Black Black Black Green Green\nBlack Green Green Green Green Black Green Black Green Green Green Green Black Black Green Green Green Green Black Green\nGreen Green Green Green Black Black Green Green Green Green Black Green Black Green Green Green Green Green Black Black\nBlack Green Green Green Black Black Green Green Black Black Black Black Green Green Green Green Black Black Green Green\nGreen Black Green Green Green Black Green Black Green Black Black Green Green Black Green Green Green Green Green Green\nBlack Green Black Black Black Green Green Green Black Green Green Green Green Black Black Green Black Green Black Green\nBlack Green Green Black Black Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green\nBlack Green Black Green Green Green Green Black Green Green Green Green Green Green Black Blue Blue Blue Black Black\nBlack Green Black Black Black Green Black Green Green Black Green Green Black Green Green Blue Blue Blue Green Green\nGreen Green Green Green Green Green Green Green Green Black Green Black Black Green Green Green Green Black Green Green\nGreen Green Green Green Black Black Black Green Green Green Green Green Green Black Green Green Green Black Green Green\nGreen Green Green Green Green Green Green Green Green Black Green Black Green Green Green Green Green Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black\nBlack Black Pink Pink Pink Pink Black Blue Blue Blue Pink Black Pink Pink Pink Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Black Pink Blue Blue Blue Pink Black Pink Black Black Pink Black Black Black Pink\nPink Pink Pink Pink Pink Pink Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nPink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Black Pink Black\nPink Pink Black Pink Black Pink Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink Pink\nBlack Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Black Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Black Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Black Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nBlack Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black Black Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink\nBlack Pink Pink Pink Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Black Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nBlack Black Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Black Black Pink\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nRed Red Red Red Red Red Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray 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 Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nGreen Black Black Black Red Black Black Black\nBlack Green Black Black Black Purple Black Orange\nBlack Orange Black Black Red Red Black Brown\nBlack Pink Brown Black Black Pink Orange Black\nBlack Red Black Black Blue Black Black Black\nBlack Purple Black Blue Black Brown Black Black\nBlack Black Orange Black Black Red Black Purple\nRed Black Black Orange Black Black Black Black\nBlack Black Blue Yellow Black Black Black Brown\nBlack Brown Purple Purple Black Black Purple Black\nBlack Black Brown Black Black Purple Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nGreen Black Black Black Yellow Black Black Black\nBlack Green Black Black Black Purple Black Orange\nBlack Orange Black Black Yellow Yellow Black Brown\nBlack Pink Brown Black Black Pink Orange Black\nBlack Yellow Black Black Blue Black Black Black\nBlack Purple Black Blue Black Brown Black Black\nBlack Black Orange Black Black Yellow Black Purple\nYellow Black Black Orange Black Black Black Black\nBlack Black Blue Yellow Black Black Black Brown\nBlack Brown Purple Purple Black Black Purple Black\nBlack Black Brown Black Black Purple Black Black\n\n\nExample 2\nInput:\nBlack Brown Black Purple Black Black Black\nPink Black Black Yellow Black Black Black\nBlack Yellow Black Black Black Black Green\nGreen Orange Black Black Purple Red Black\nBlack Black Black Black Black Black Orange\nPurple Purple Black Black Black Black Purple\nBlack Red Black Black Black Red Blue\nBlack Black Black Green Black Orange Orange\nRed Black Black Black Red Black Black\nOrange Black Black Black Black Black Brown\n\nOutput:\nBlack Brown Black Purple Black Black Black\nPink Black Black Yellow Black Black Black\nBlack Yellow Black Black Black Black Green\nGreen Orange Black Black Purple Yellow Black\nBlack Black Black Black Black Black Orange\nPurple Purple Black Black Black Black Purple\nBlack Yellow Black Black Black Yellow Blue\nBlack Black Black Green Black Orange Orange\nYellow Black Black Black Yellow Black Black\nOrange Black Black Black Black Black Brown\n\n\nExample 3\nInput:\nBlack Orange Black Orange Yellow Red Brown\nBlack Black Black Black Red Black Black\nBlack Orange Black Black Black Black Red\nBlue Yellow Blue Black Black Black Green\nBrown Black Black Black Black Black Black\nBlack Purple Black Brown Red Black Black\nBlack Orange Brown Black Black Black Black\nBlack Black Black Black Black Black Green\nBlack Yellow Red Red Black Yellow Black\nBlack Green Blue Black Black Orange Black\nYellow Brown Brown Pink Black Black Black\n\nOutput:\nBlack Orange Black Orange Yellow Yellow Brown\nBlack Black Black Black Yellow Black Black\nBlack Orange Black Black Black Black Yellow\nBlue Yellow Blue Black Black Black Green\nBrown Black Black Black Black Black Black\nBlack Purple Black Brown Yellow Black Black\nBlack Orange Brown Black Black Black Black\nBlack Black Black Black Black Black Green\nBlack Yellow Yellow Yellow Black Yellow Black\nBlack Green Blue Black Black Orange Black\nYellow Brown Brown Pink Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Green Black Black Green Pink Black Black Black\nBlack Black Black Black Yellow Black Black Red Black\nRed Pink Green Black Black Black Blue Red Black\nBlack Black Brown Black Black Black Black Orange Red\nPurple Black Black Yellow Black Black Purple Black Brown\nBlack Black Green Brown Orange Black Black Orange Black\nBlue Blue Black Black Black Yellow Green Black Black\nBlack Black Brown Black Black Black Black Brown Black\nBlack Yellow Black Green 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 Green Black Black Green Pink Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Black\nYellow Pink Green Black Black Black Blue Yellow Black\nBlack Black Brown Black Black Black Black Orange Yellow\nPurple Black Black Yellow Black Black Purple Black Brown\nBlack Black Green Brown Orange Black Black Orange Black\nBlue Blue Black Black Black Yellow Green Black Black\nBlack Black Brown Black Black Black Black Brown Black\nBlack Yellow Black Green Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Green Green Green Black Black\nBlack Green Green Green Black Black\nBlack Green Green Green Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Green Green Green\nBlack Black Black Green Green Green\nBlack Black Black Green Green Green\nBlack Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Gray Gray Black\nBlack Black Gray Gray Gray Black\nBlack Black Gray Gray Gray 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```\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nOrange Orange Black Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Black Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Black Black\nBlack Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Blue Black Black\nBlack Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\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\nPink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Pink Black Black\nBlack Brown Brown Pink Pink Pink Black Black\nPink Brown Green Purple Black Pink Black Black\nPink Purple Green Green Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Pink Black Black\nBlack Brown Brown Pink Pink Pink Black Black\nPink Brown Green Purple Black Pink Black Black\nPink Purple Green Green Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nPink Purple Green Green Black Black Black Black\nPink Brown Green Purple Black Pink Black Black\nBlack Brown Brown Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Black Black\n\n\nExample 2\nInput:\nBlack Blue Blue Black Orange Orange Black\nBlack Blue Red Red Orange Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Yellow 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 Blue Blue Black Orange Orange Black\nBlack Blue Red Red Orange Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Yellow\nBlack Black Black Black Red Black Black\nBlack Blue Red Red Orange Black Black\nBlack Blue Blue Black Orange Orange Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Purple Purple\nRed Black Black Black Pink Purple Black\nRed Red Black Orange Orange Pink Black\nBlack Black Brown Orange Orange Black Black\nBlack Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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 Purple Purple\nRed Black Black Black Pink Purple Black\nRed Red Black Orange Orange Pink Black\nBlack Black Brown Orange Orange Black Black\nBlack Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black\nBlack Black Brown Orange Orange Black Black\nRed Red Black Orange Orange Pink Black\nRed Black Black Black Pink Purple Black\nBlack Black Black Black Black Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Gray Black Black Black Black Black\nBlack Brown Brown Gray Black Gray Gray Brown Brown\nBlack Brown Brown Black Black Gray Gray Brown Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Gray Black Black Black Black Black\nBlack Brown Brown Gray Black Gray Gray Brown Brown\nBlack Brown Brown Black Black Gray Gray Brown Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Gray Gray Brown Black\nBlack Brown Brown Gray Black Gray Gray Brown Brown\nBlack Black Gray Gray Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Brown Blue Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Black\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Black\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Brown Red Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Brown Brown Brown Red Red Red Black\nRed Red Red Brown Brown Brown Red Red Red Black\nRed Red Red Brown Brown Brown Red Red Red Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Blue Blue Blue 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 Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Orange Brown Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Orange Brown 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\nGreen Green Green Orange Orange Orange Brown Brown Brown Black\nGreen Green Green Orange Orange Orange Brown Brown Brown Black\nGreen Green Green Orange Orange Orange Brown Brown Brown Black\nBlack Black Black Green Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Green Black\nGreen Green Green Orange Orange Orange Brown Brown Brown Black\nGreen Green Green Orange Orange Orange Brown Brown Brown Black\nGreen Green Green Orange Orange Orange Brown Brown Brown Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green 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\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green 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\nBlack 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green 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\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\n\nOutput:\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Yellow Yellow Yellow Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Yellow Yellow Yellow Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Yellow Yellow Yellow Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Yellow Yellow Yellow Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Yellow Yellow Yellow Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Blue Blue Blue\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue\n\n\nExample 2\nInput:\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\n\nOutput:\nRed Red Red Yellow Yellow Yellow Red Red Red Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Yellow Yellow Yellow Red Red Red Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red Red Red Red Blue Blue Blue Red Red Red\n\n\nExample 3\nInput:\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nRed Red Red Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\n\nOutput:\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Red Red Red Blue Blue Blue Red Red Red\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Red Red Red Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nYellow Yellow Yellow Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue 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 Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Red Red Red Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Red Red Red Blue Blue Blue Red Red Red\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Red Red Red Blue Blue Blue Red Red Red\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Red Red Red Blue Blue Blue Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Green Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Green Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Red Red Red Blue Blue Blue Red Red Red\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Red Red Red Blue Blue Blue Red Red Red\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Red Red Red Blue Blue Blue Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red\nBlack Black Black Red Red Red Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red\nBlack Black Black Red Red Red Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red\nBlack Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Black Black Black Green Green Green Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue Red Red Red\nGreen Green Green Black Black Black Green Green Green Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue Red Red Red\nGreen Green Green Black Black Black Green Green Green Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue Red Red Red\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\n\nOutput:\nRed Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red\nBlack Black Black Red Red Red Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red\nBlack Black Black Red Red Red Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red\nBlack Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Black Black Black Green Green Green Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue Red Red Red\nGreen Green Green Black Black Black Green Green Green Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue Red Red Red\nGreen Green Green Black Black Black Green Green Green Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue Red Red Red\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Blue Blue Blue Black Black Black Red Red Red Red Red Red Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Blue Blue Blue Black Black Black Red Red Red Red Red Red Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Blue Blue Blue Black Black Black Red Red Red Red Red Red Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange\nPink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Pink Pink Pink Red Red Red Black Black Black Gray Gray Gray Orange Orange Orange\nPink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Pink Pink Pink Red Red Red Black Black Black Gray Gray Gray Orange Orange Orange\nPink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Pink Pink Pink Red Red Red Black Black Black Gray Gray Gray Orange Orange Orange\nRed Red Red Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\n\nOutput:\nGray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Red Red Red Red Red Red Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nRed Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Red Red Red Red Red Red Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Red Red Red\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Red Red Red\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray 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 Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPurple Purple Black Black Black Black Pink Pink Pink Pink Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Pink Pink Pink Pink Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\n\nOutput:\nPurple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nPurple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nPurple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBrown Brown Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Orange Orange\nBrown Brown Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\n\nOutput:\nBrown Brown Red Red Red Red Red Red Red Red Red Red Orange Orange\nBrown Brown Red Red Red Red Red Red Red Red Red Red Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nBrown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Black Black Black Black\nRed Red Blue Blue Pink Pink Pink Pink Black Black Pink Pink Pink Pink Blue Blue Pink Pink\nRed Red Blue Blue Pink Pink Pink Pink Black Black Pink Pink Pink Pink Blue Blue Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\n\nOutput:\nRed Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink\nRed Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nRed Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink\nRed Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBrown Brown Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nBrown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue\nBrown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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\nPink Orange Brown Black Black Black Black Black\nGray Yellow Green Black Black Black Black Black\nPurple Brown Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Orange Brown Black Black Black Black Black\nGray Brown Yellow Green Black Black Black Black\nPurple Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Red Orange Black Black Black\nBlack Black Black Black Blue Blue Brown Black Black Black\nBlack Black Black Black Pink Green Red 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 Gray Red Orange Black Black Black\nBlack Black Black Black Blue Green Blue Brown Black Black\nBlack Black Black Black Pink Black Red 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 Purple Pink Black Black Black Black Black Black Black Black\nBlue Yellow Orange Black Black Black Black Black Black Black Black\nGreen Red Yellow 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:\nOrange Purple Pink Black Black Black Black Black Black Black Black\nBlue Red Yellow Orange Black Black Black Black Black Black Black\nGreen Black Yellow 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 Black Black Black Black Black Black\nBlack Brown Blue Pink Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black\nBlack Brown Pink Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Brown Blue Pink Black Black Black Black Black\nBlack Gray Pink Gray Gray Black Black Black Black\nBlack Brown Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Blue Black Black Black Black\nBlack Black Black Orange Green Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red Blue Blue\nBlack Black Black Black Black Black Black Red Green Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Green Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Red Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Blue Blue Red\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Red Black Black Black Black\nBlack Black Black Pink Brown Red Red Black Black Black\nBlack Black Black Pink Black Green Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Red Black\nBlack Black Black Black Black Black Yellow Blue Green Red\nBlack Black Black Black Black Black Yellow Blue Red Red\nBlack Black Black Black Black Black Yellow Yellow Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Purple 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\nPurple Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black\nBlack Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Purple Purple Purple 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 Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Orange Pink Black Yellow Orange Black\nBlack Yellow Pink Yellow Black Pink Orange Orange Black\nBlack Orange Yellow Yellow Pink Pink Pink Black Black\nBlack Green Black Black Black Green Yellow Green Black\nBlack Green Black Black Black Green Green Yellow Black\nBlack Black Black Black Black Orange Pink 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 Green Green Orange Yellow Yellow Black Black Black\nBlack Black Black Yellow Pink Yellow Black Black Black\nBlack Black Black Yellow Yellow Orange Black Black Black\nBlack Black Black Pink Black Pink Black Black Black\nOrange Green Green Pink Pink Black Black Black Black\nPink Green Yellow Pink Orange Yellow Black Black Black\nBlack Yellow Green Black Orange Orange 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:\nGray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\n\n\nExample 2\nInput:\nGray Red Gray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray Red Gray\nGray Red Gray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray Red Gray\nGray Red Gray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray Red Gray\nGray Red Gray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray Red Gray\n\nOutput:\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nPink Red Pink Red Pink Red Pink Red\nRed Pink Red Pink Red Pink Red Pink\nPink Red Pink Red Pink Red Pink Red\nRed Pink Red Pink Red Pink Red Pink\nPink Red Pink Red Pink Red Pink Red\nRed Pink Red Pink Red Pink Red Pink\nPink Red Pink Red Pink Red Pink Red\nRed Pink Red Pink Red Pink Red Pink\n\nOutput:\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Green Yellow Green Yellow Green Yellow Green\nGreen Yellow Green Yellow Green Yellow Green Yellow\nYellow Green Yellow Green Yellow Green Yellow Green\nGreen Yellow Green Yellow Green Yellow Green Yellow\nYellow Green Yellow Green Yellow Green Yellow Green\nGreen Yellow Green Yellow Green Yellow Green Yellow\nYellow Green Yellow Green Yellow Green Yellow Green\nGreen Yellow Green Yellow 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```\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green 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 Blue Black Purple Black Black\nBlue Black Black Black Orange Black\nYellow Pink Black Green Orange Black\nPink Black Black Black Black Black\nPurple Black Purple Green Black Purple\nOrange Black Black Black Black Purple\nBlack Black Orange Brown Black Gray\nPurple Black Black Purple Black Black\n\nOutput:\nBlack Green Black Green Black Black\nGreen Black Black Black Orange Black\nGreen Pink Black Green Orange Black\nGreen Black Black Black Black Black\nGreen Black Purple Green Black Green\nGreen Black Black Black Black Green\nBlack Black Orange Brown Black Green\nGreen Black Black Green Black Black\n\n\nExample 2\nInput:\nBlack Black Gray Purple Black Blue Pink\nBlack Black Orange Black Pink Black Black\nYellow Black Black Black Green Black Brown\nBlue Black Blue Purple Black Yellow Red\nBlack Black Black Black Black Black Black\nYellow Black Black Black Blue Black Orange\n\nOutput:\nBlack Black Green Green Black Green Green\nBlack Black Orange Black Pink Black Black\nGreen Black Black Black Green Black Green\nGreen Black Blue Purple Black Yellow Green\nBlack Black Black Black Black Black Black\nGreen Black Black Black Green Black Green\n\n\nExample 3\nInput:\nBlack Black Yellow Purple Black Purple Brown\nBlack Green Black Black Black Black Black\nBlack Blue Purple Red Blue Black Black\nBlack Orange Brown Black Black Pink Black\nBrown Black Black Black Blue Orange Black\nBlack Black Pink Black Black Black Black\nBlack Gray Black Green Gray Black Purple\n\nOutput:\nBlack Black Green Green Black Green Green\nBlack Green Black Black Black Black Black\nBlack Blue Purple Red Blue Black Black\nBlack Orange Brown Black Black Pink Black\nGreen Black Black Black Blue Orange Black\nBlack Black Pink Black Black Black Black\nBlack Green Black Green Green Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Gray Red Black\nGray Black Black Black Gray\nBlack Brown Black Black Yellow\nBlack Black Black Black Purple\nBlack Black Orange Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Green Green Black\nGreen Black Black Black Green\nBlack Brown Black Black Green\nBlack Black Black Black Green\nBlack Black Green Black Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black 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 Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black 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 Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black 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 Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nRed Red Red Red Black Black Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nRed Red Red Red Black Black Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nRed Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nRed Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nRed Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nRed Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nRed Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nRed Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nRed Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nRed Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nRed Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nRed Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue\nBlack Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black\nBlue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue\nBlack Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black\nBlue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue\nBlack Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Black Black Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Black Black Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Black Black Orange Orange Blue Blue Orange Orange Black Black\nBlue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Black Black Orange Orange Blue Blue Orange Orange Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue\nBlack Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black\nBlue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue\nBlack Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black\nBlue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue\nBlack Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue Black Black Orange Orange Blue Blue Orange Orange Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black\nBlue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black Blue Blue Orange Orange Blue Blue Orange Orange Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red 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\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red 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\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Green Green Green Black\nBlack Black Red Red Black Black Black Black Black Green Green Black\nBlack Black Red Red Red Black Black Black Green Green Green Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\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 Black Black Black\nBlack Black Green Green Green Black Brown Black Brown Black Black Black Black Black\nBlack Black Green Green Green Black Brown Brown Brown Black Black Black Black Black\nBlack Black Green Black Green Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown 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 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\nBlack Black Black Black Black Green Black Black Black Red 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 Brown 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 Pink\nBlack Black Blue Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Red 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 Brown 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 Pink\nBlack Black Blue Black Black Black Purple Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Pink\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Pink\n\n\nExample 2\nInput:\nBlack 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\nBlack Black Black Black Pink Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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\nBlack Black Black Black Pink Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink 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\nGreen 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\nGreen Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Yellow Black\n\nOutput:\nGreen Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Yellow 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 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 Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink 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 Pink Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Pink 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 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 Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Red Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Pink Black\nBlack Black Brown Brown 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 Pink Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Black Black Black Black Purple Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink 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\nBlack Black Black Pink Pink Pink Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Black Black Black Black Black 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 Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Gray Gray\nBlack 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nRed Red Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown 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 Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nGray Gray Gray 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\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Black Red Red Red\nRed Black Red Red Red\nBlack Red Red Red Red\nBlack Black Black Red Red\nBlack Red Black Red Red\nRed Red Red Black Red\nRed Black Red Black Red\nYellow Yellow Yellow Yellow Yellow\nRed Black Black Red Red\nBlack Red Red Red Black\nBlack Black Black Black Black\nRed Black Red Red Black\nRed Black Red Red Red\nBlack Red Black Black Red\nRed Red Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Blue Black Black Black\nBlack Black Black Black Black\nBlue Black Blue Black Black\nBlue Black Blue Black Black\nBlack Black Black Black Black\nBlack Blue Black Black Black\n\n\nExample 2\nInput:\nRed Red Black Black Red Black Red\nRed Red Red Black Black Black Black\nRed Red Red Red Red Black Red\nRed Black Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Red Red Red Black Red\nBlack Red Red Red Black Black Red\nRed Red Red Black Black Black Black\nRed Red Black Black Black Black Red\n\nOutput:\nBlack Black Blue Blue Black Black Black\nBlack Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Red Red Red Black Black Red Red\nBlack Black Black Black Black Red Black Red\nBlack Red Red Black Black Black Black Red\nBlack Red Red Black Black Red Black Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Black Black Black Black Red Black Black\nBlack Black Black Red Red Red Black Red\nRed Red Red Black Red Black Red Black\nBlack Red Red Black Black Black Black Red\n\nOutput:\nBlue Black Black Black Black Blue Black Black\nBlack Black Black Blue Blue Black Black Black\nBlue Black Black Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Black Red\nRed Black Red Black Black Black\nBlack Red Red Black Black Red\nRed Black Red Black Black Red\nBlack Black Black Black Red Red\nRed Red Black Red Black Black\nYellow Yellow Yellow Yellow Yellow Yellow\nBlack Red Red Black Red Red\nBlack Red Red Black Red Black\nBlack Black Red Black Black Red\nBlack Red Black Black Black Black\nRed Red Red Black Black Red\nBlack Red Black Red Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Blue Black\nBlack Blue Black Black Blue Black\nBlack Black Black Black Black Black\nBlack Blue Black Black Black Black\nBlue Blue Blue Black Black Black\nBlack Black Black Black Blue Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Brown Pink Black Brown Pink Yellow Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nGreen Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Black Black Black\nBlack Black Black Black Black Green Green Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\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\nBrown Brown Black Black Brown Red Black Red Black Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Gray Pink Blue Black Red 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 Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Black Blue Black Black Black Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Blue Blue Blue Blue Blue Blue Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Blue Blue Blue Blue Blue Blue Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Blue Blue Blue Blue Blue Blue Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Pink Pink Pink Orange Orange Orange Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Pink Pink Pink Orange Orange Orange Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Pink Pink Pink Orange Orange Orange Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Blue Blue Blue Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Blue Blue Blue Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Blue Blue Blue Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Pink Pink Pink Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Pink Pink Pink Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Pink Pink Pink Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Gray Gray Gray Pink Pink Pink Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Gray Gray Gray Pink Pink Pink Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Gray Gray Gray Pink Pink Pink Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black\nPurple Purple Purple Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black\nPurple Purple Purple Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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 Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Orange Orange Orange Gray Gray Gray Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Orange Orange Orange Gray Gray Gray Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Orange Orange Orange Gray Gray Gray Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black\nPurple Purple Purple Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black\nPurple Purple Purple Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black\nPurple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Black Black Black Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Orange Orange Orange Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Orange Orange Orange Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Orange Orange Orange Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Brown Pink Yellow Pink\nGreen Brown Orange Pink Gray\nOrange Brown Orange Orange Green\nGray Pink Blue Orange Gray\nRed Purple Yellow Orange Purple\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nPurple Brown Pink Yellow Pink\nGreen Brown Orange Pink Gray\nOrange Brown Orange Orange Green\nGray Pink Blue Orange Gray\nRed Purple Yellow Orange Purple\nPink Yellow Pink Brown Purple\nGray Pink Orange Brown Green\nGreen Orange Orange Brown Orange\nGray Orange Blue Pink Gray\nPurple Orange Yellow Purple Red\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\nOrange Blue Orange Pink\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nRed Blue Yellow Orange\nGray Blue Pink Green\nBlue Brown Orange Red\nBrown Gray Brown Purple\nBrown Purple Purple Brown\nOrange Blue Orange Pink\nOrange Yellow Blue Red\nGreen Pink Blue Gray\nRed Orange Brown Blue\nPurple Brown Gray Brown\nBrown Purple Purple Brown\nPink Orange Blue Orange\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\nOrange Purple Pink Yellow Red\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\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\nOrange Purple Pink Yellow Red\nGray Brown Yellow Yellow Red\nGreen Blue Orange Purple Pink\nOrange Gray Pink Blue Purple\nYellow Orange Green Purple Blue\nBlue Brown Green Orange Gray\nRed Yellow Pink Purple Orange\n\n\nHere is the input grid for the test example:\nInput:\nGreen Gray Pink\nGray Brown Pink\nPink Blue Brown\nGray Pink Gray\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Gray Pink\nGray Brown Pink\nPink Blue Brown\nGray Pink Gray\nPink Gray Green\nPink Brown Gray\nBrown Blue Pink\nGray Pink 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Green Black Green\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Green Green Green\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Green Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Green Green\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Black Black Green Green Green\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Green Green Green\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Green Green Green\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Green Green Green\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Green Green Green\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Brown Brown Black Black Black Black Black Yellow Yellow Yellow Black Yellow\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 Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Brown Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Brown Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Yellow\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 Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Pink Black Black Black Brown Brown Brown Brown Brown\nBlack Black Pink Pink Pink Pink Black Black Black Brown Brown Brown Brown Brown\nBlack Black Pink Pink Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink Pink Black Black Black Brown Brown Brown Brown Brown\nBlack Black Pink Pink Pink Pink Black Black Black Brown Brown Brown Brown Brown\nBlack Black Pink Pink Pink Pink Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Yellow Black Gray Black Black\nGray Black Red Black Red Pink Black Black\nBlack Black Black Black Black Orange Yellow Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Blue Brown\nBlack Black Gray Black Black Purple Black Black\n\nOutput:\nGray Black Gray Yellow Red Purple Blue Brown\nGray Black Gray Black Red Purple Blue Brown\nBlack Black Gray Black Black Purple Blue Brown\nBlack Black Gray Black Black Purple Blue Brown\nBlack Black Gray Black Black Purple Blue Brown\nBlack Black Gray Black Black Purple Blue Brown\nBlack Black Gray Black Black Purple Blue Brown\nBlack Black Gray Black Black Purple Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Black Black\nBrown Green Black Blue Black Black Gray\nBlack Green Black Brown Black Black Yellow\nPurple Black Green Black Black Black Red\nBlack Red Purple Black Black Black Black\nYellow Black Orange Black Black Black Black\nBlack Orange Pink Pink Brown Purple Red\n\nOutput:\nYellow Orange Pink Pink Brown Purple Red\nYellow Orange Pink Pink Brown Purple Red\nYellow Orange Pink Pink Brown Purple Red\nYellow Orange Pink Pink Brown Purple Red\nYellow Orange Pink Pink Brown Purple Red\nYellow Orange Pink Pink Brown Purple Red\nBlack Orange Pink Pink Brown Purple Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Purple Green Brown\nBlack Black Black Black Black Brown Black Pink Black\nBlack Black Black Gray Black Black Pink Black Black\nBlack Pink Red Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Red Black Black\n\nOutput:\nBlue Pink Red Gray Black Brown Red Pink Brown\nBlue Pink Red Gray Black Brown Red Pink Brown\nBlue Pink Red Gray Black Brown Red Pink Black\nBlue Pink Red Gray Black Black Red Black Black\nBlue Pink Red Black Black Black Red Black Black\nBlue Black Black Black Black Black Red Black Black\nBlue Black Black Black Black Black Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Orange Black Black Blue Black Green\nBlack Black Purple Black Black Black Orange Blue Brown\nRed Black Black Yellow Black Blue Red Black Black\nBlack Black Black Black Brown Yellow Black Black Red\nBlack Black Red Black Purple Red Yellow Black Brown\nGreen Black Black Black Black Black Orange Black Black\nBlack Pink Gray Black Black Black Black Green Black\nBlack Black Black Black Black Brown Black Brown Black\nBlack Brown Black Blue Purple 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```\nGreen Brown Gray Blue Purple Green Orange Brown Brown\nGreen Brown Gray Blue Purple Green Orange Brown Brown\nGreen Brown Gray Blue Purple Green Orange Brown Brown\nGreen Brown Gray Blue Purple Green Orange Brown Brown\nGreen Brown Gray Blue Purple Green Orange Brown Brown\nGreen Brown Gray Blue Purple Green Orange Brown Black\nBlack Brown Gray Blue Purple Green Black Brown Black\nBlack Brown Black Blue Purple Green Black Brown Black\nBlack Brown Black Blue Purple Green Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Gray Gray Gray Gray\nGreen Green Green Green Black Black Black Black Gray Gray Gray Gray\nGreen Green Green Green Black Black Black Black Gray Gray Gray Gray\nGreen Green Green Green Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nGreen Green Green Green Gray Gray Gray Gray Black Black Black Black\nGreen Green Green Green Gray Gray Gray Gray Black Black Black Black\nGreen Green Green Green Gray Gray Gray Gray Black Black Black Black\nGreen Green Green Green Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\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 Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple 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 Black\nBlack Black Black Black Black Black Gray Gray Gray Gray 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 Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nGray Gray Gray Gray Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Gray Gray Gray Gray Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown 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 Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Brown Brown Black Black\nBlack Black Black Black Black Yellow Yellow Brown Brown 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 Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown 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 Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Brown Brown Black Black\nBlack Black Black Black Black Black Yellow Black Brown Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Red Red Black\nBlack Black Black Orange Orange 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\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Red Red Black\nBlack Black Black Black Orange Black 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\n\n\nExample 3\nInput:\nBlack Black Black Gray Gray Black Green Green\nBlack Black Black Gray Gray Black Green Green\nBlack Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black\nBlack Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Gray Black Green Green\nBlack Black Black Black Gray Black Black Green\nBlack Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black\nBlack Black Red 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 Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Orange Pink Gray Purple Brown Pink Yellow Pink Orange Purple\nGray Pink Blue Orange Gray Orange Brown Orange Orange Green Green\nPurple Blue Orange Green Orange Orange Red Purple Yellow Orange Purple\nYellow Orange Brown Purple Brown Gray Yellow Purple Green Green Green\nBlue Brown Gray Purple Pink Pink Gray Purple Orange Green Yellow\nBrown Purple Green Blue Pink Yellow Gray Yellow Yellow Purple Purple\nBrown Red Brown Red Orange Pink Gray Red Yellow Blue Purple\nGray Brown Blue Brown Orange Red Pink Orange Purple Purple Red\nPurple Red Purple Orange Blue Blue Purple Yellow Blue Blue Pink\nBrown Green Orange Purple Red Blue Red Brown Blue Green Green\nPurple Brown Brown Green Pink Orange Red Yellow Pink Pink Orange\nPink Orange Gray Red Blue Red Yellow Red Orange Purple Orange\nYellow Red Purple Purple Green Red Brown Red Pink Brown Yellow\n\nOutput:\nBrown Orange Pink Gray Green Brown Pink Blue Pink Orange Green\nGray Pink Yellow Orange Gray Orange Brown Orange Orange Red Red\nGreen Yellow Orange Red Orange Orange Green Green Blue Orange Green\nBlue Orange Brown Green Brown Gray Blue Green Red Red Red\nYellow Brown Gray Green Pink Pink Gray Green Orange Red Blue\nBrown Green Red Yellow Pink Blue Gray Blue Blue Green Green\nBrown Green Brown Green Orange Pink Gray Green Blue Yellow Green\nGray Brown Yellow Brown Orange Green Pink Orange Green Green Green\nGreen Green Green Orange Yellow Yellow Green Blue Yellow Yellow Pink\nBrown Red Orange Green Green Yellow Green Brown Yellow Red Red\nGreen Brown Brown Red Pink Orange Green Blue Pink Pink Orange\nPink Orange Gray Green Yellow Green Blue Green Orange Green Orange\nBlue Green Green Green Red Green Brown Green Pink Brown Blue\n\n\nExample 2\nInput:\nPurple Blue Brown Orange Red Gray Blue Pink Green Red Blue Yellow Orange\nPink Brown Orange Blue Orange Pink Brown Purple Purple Brown Brown Gray Brown\nGreen Blue Orange Pink Purple Purple Blue Yellow Orange Yellow Yellow Green Green\nOrange Pink Purple Yellow Gray Pink Gray Purple Red Purple Blue Pink Red\nBrown Brown Orange Orange Pink Orange Gray Gray Brown Yellow Orange Pink Red\nRed Green Orange Purple Purple Gray Orange Gray Yellow Red Purple Purple Purple\nBlue Blue Gray Purple Purple Red Pink Yellow Pink Blue Green Brown Red\nPurple Yellow Orange Green Purple Green Pink Red Green Green Brown Purple Blue\nGray Red Blue Purple Green Pink Purple Gray Blue Green Purple Orange Yellow\nBlue Red Blue Yellow Brown Green Purple Yellow Brown Red Purple Green Brown\n\nOutput:\nGreen Yellow Brown Orange Green Gray Yellow Pink Red Green Yellow Blue Orange\nPink Brown Orange Yellow Orange Pink Brown Green Green Brown Brown Gray Brown\nRed Yellow Orange Pink Green Green Yellow Blue Orange Blue Blue Red Red\nOrange Pink Green Blue Gray Pink Gray Green Green Green Yellow Pink Green\nBrown Brown Orange Orange Pink Orange Gray Gray Brown Blue Orange Pink Green\nGreen Red Orange Green Green Gray Orange Gray Blue Green Green Green Green\nYellow Yellow Gray Green Green Green Pink Blue Pink Yellow Red Brown Green\nGreen Blue Orange Red Green Red Pink Green Red Red Brown Green Yellow\nGray Green Yellow Green Red Pink Green Gray Yellow Red Green Orange Blue\nYellow Green Yellow Blue Brown Red Green Blue Brown Green Green Red Brown\n\n\nExample 3\nInput:\nBlue Pink Gray Orange Pink Purple Orange Blue Green Red Yellow Yellow Brown Gray\nPink Yellow Red Gray Orange Green Brown Blue Blue Purple Green Orange Yellow Purple\nBlue Gray Green Gray Blue Pink Brown Yellow Brown Purple Pink Gray Orange Purple\nYellow Yellow Blue Green Yellow Green Blue Green Brown Red Purple Orange Purple Blue\nBlue Green Blue Gray Green Orange Blue Purple Pink Brown Brown Yellow Orange Blue\nPurple Green Blue Green Red Green Pink Purple Pink Pink Yellow Brown Pink Gray\nYellow Yellow Green Blue Green Yellow Brown Yellow Pink Purple Pink Blue Red Purple\nOrange Yellow Gray Purple Yellow Blue Purple Brown Gray Green Blue Orange Red Purple\nGreen Purple Green Green Yellow Pink Green Yellow Blue Pink Purple Green Orange Gray\nGreen Orange Blue Yellow Orange Yellow Gray Brown Pink Brown Red Blue Purple Gray\n\nOutput:\nYellow Pink Gray Orange Pink Green Orange Yellow Red Green Blue Blue Brown Gray\nPink Blue Green Gray Orange Red Brown Yellow Yellow Green Red Orange Blue Green\nYellow Gray Red Gray Yellow Pink Brown Blue Brown Green Pink Gray Orange Green\nBlue Blue Yellow Red Blue Red Yellow Red Brown Green Green Orange Green Yellow\nYellow Red Yellow Gray Red Orange Yellow Green Pink Brown Brown Blue Orange Yellow\nGreen Red Yellow Red Green Red Pink Green Pink Pink Blue Brown Pink Gray\nBlue Blue Red Yellow Red Blue Brown Blue Pink Green Pink Yellow Green Green\nOrange Blue Gray Green Blue Yellow Green Brown Gray Red Yellow Orange Green Green\nRed Green Red Red Blue Pink Red Blue Yellow Pink Green Red Orange Gray\nRed Orange Yellow Blue Orange Blue Gray Brown Pink Brown Green Yellow Green Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Pink Gray Pink Blue Brown Gray Brown Pink Green Gray Pink\nOrange Blue Yellow Brown Purple Pink Pink Pink Orange Brown Brown Pink\nOrange Blue Orange Purple Red Brown Pink Red Blue Gray Pink Orange\nPurple Orange Brown Green Green Pink Red Orange Gray Green Purple Yellow\nBlue Yellow Brown Orange Brown Purple Purple Red Green Blue Yellow Purple\nBlue Orange Yellow Red Blue Purple Red Gray Gray Yellow Blue Pink\nGray Brown Gray Yellow Red Pink Green Purple Green Orange Purple Gray\nGray Yellow Brown Orange Yellow Blue Yellow Brown Red Orange Green Orange\nBrown Red Orange Pink Orange Red Pink Green Brown Gray Pink Gray\nBrown Brown Purple Gray Orange Gray Green Blue Purple Gray Pink Orange\nGray Yellow Red Green Green Brown Green Pink Red Gray Blue Brown\nYellow Green Green Pink Gray Gray Red Purple Green Pink Red Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Pink Gray Pink Yellow Brown Gray Brown Pink Red Gray Pink\nOrange Yellow Blue Brown Green Pink Pink Pink Orange Brown Brown Pink\nOrange Yellow Orange Green Green Brown Pink Green Yellow Gray Pink Orange\nGreen Orange Brown Red Red Pink Green Orange Gray Red Green Blue\nYellow Blue Brown Orange Brown Green Green Green Red Yellow Blue Green\nYellow Orange Blue Green Yellow Green Green Gray Gray Blue Yellow Pink\nGray Brown Gray Blue Green Pink Red Green Red Orange Green Gray\nGray Blue Brown Orange Blue Yellow Blue Brown Green Orange Red Orange\nBrown Green Orange Pink Orange Green Pink Red Brown Gray Pink Gray\nBrown Brown Green Gray Orange Gray Red Yellow Green Gray Pink Orange\nGray Blue Green Red Red Brown Red Pink Green Gray Yellow Brown\nBlue Red Red Pink Gray Gray Green Green Red Pink Green Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Black\nBlack Black Yellow Black Black\nYellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Black\nBlack Black Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Green Black Black\nBlack Black Green Black Black\nGreen Green Green Green Green\nBlack Black Green Black Black\nBlack Black Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Gray Black Black\nBlack Black Gray Black Black\nGray Gray Gray Gray Gray\nBlack Black Gray Black Black\nBlack Black Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Purple 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```\nBlack Black Purple Black Black\nBlack Black Purple Black Black\nPurple Purple Purple Purple Purple\nBlack Black Purple Black Black\nBlack Black Purple Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Gray Brown Orange Orange Orange Gray Brown Orange Orange Orange Gray Brown Orange Orange\nOrange Pink Brown Pink Gray Orange Pink Brown Pink Gray Orange Pink Brown Pink Gray\nBrown Brown Purple Brown Brown Brown Brown Purple Brown Brown Brown Brown Purple Brown Brown\nGray Pink Brown Pink Orange Gray Pink Brown Pink Orange Gray Pink Brown Pink Orange\nOrange Orange Brown Gray Orange Orange Orange Brown Gray Orange Orange Orange Brown Gray Orange\nOrange Gray Brown Orange Orange Orange Gray Brown Orange Black Black Black Brown Orange Orange\nOrange Pink Brown Pink Gray Orange Pink Brown Pink Black Black Black Brown Pink Gray\nBrown Brown Purple Brown Brown Brown Brown Purple Brown Black Black Black Purple Brown Brown\nGray Pink Brown Pink Orange Gray Pink Brown Pink Orange Gray Pink Brown Pink Orange\nOrange Orange Brown Gray Orange Orange Orange Brown Gray Orange Orange Orange Brown Gray Orange\nOrange Gray Brown Orange Orange Orange Gray Brown Orange Orange Orange Gray Brown Orange Orange\nOrange Pink Brown Pink Gray Orange Pink Brown Pink Gray Orange Pink Brown Pink Gray\nBrown Brown Purple Brown Brown Brown Brown Purple Brown Brown Brown Brown Purple Brown Brown\nGray Pink Brown Pink Orange Gray Pink Brown Pink Orange Gray Pink Brown Pink Orange\nOrange Orange Brown Gray Orange Orange Orange Brown Gray Orange Orange Orange Brown Gray Orange\n\nOutput:\nOrange Gray Brown Orange Orange Orange Gray Brown Orange Orange Orange Gray Brown Orange Orange\nOrange Pink Brown Pink Gray Orange Pink Brown Pink Gray Orange Pink Brown Pink Gray\nBrown Brown Purple Brown Brown Brown Brown Purple Brown Brown Brown Brown Purple Brown Brown\nGray Pink Brown Pink Orange Gray Pink Brown Pink Orange Gray Pink Brown Pink Orange\nOrange Orange Brown Gray Orange Orange Orange Brown Gray Orange Orange Orange Brown Gray Orange\nOrange Gray Brown Orange Orange Orange Gray Brown Orange Orange Orange Gray Brown Orange Orange\nOrange Pink Brown Pink Gray Orange Pink Brown Pink Gray Orange Pink Brown Pink Gray\nBrown Brown Purple Brown Brown Brown Brown Purple Brown Brown Brown Brown Purple Brown Brown\nGray Pink Brown Pink Orange Gray Pink Brown Pink Orange Gray Pink Brown Pink Orange\nOrange Orange Brown Gray Orange Orange Orange Brown Gray Orange Orange Orange Brown Gray Orange\nOrange Gray Brown Orange Orange Orange Gray Brown Orange Orange Orange Gray Brown Orange Orange\nOrange Pink Brown Pink Gray Orange Pink Brown Pink Gray Orange Pink Brown Pink Gray\nBrown Brown Purple Brown Brown Brown Brown Purple Brown Brown Brown Brown Purple Brown Brown\nGray Pink Brown Pink Orange Gray Pink Brown Pink Orange Gray Pink Brown Pink Orange\nOrange Orange Brown Gray Orange Orange Orange Brown Gray Orange Orange Orange Brown Gray Orange\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Red Red\nGreen Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Black Black Black\nRed Red Red Red Red Black Black Black\nGreen Orange Orange Green Green Black Black Black\nGreen Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange\nRed Red Red Red Red Red Red Red\nGreen Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange\n\nOutput:\nRed Red Red Red Red Red Red Red\nGreen Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange\nRed Red Red Red Red Red Red Red\nGreen Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange\nRed Red Red Red Red Red Red Red\nGreen Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange\n\n\nExample 3\nInput:\nPurple Purple Gray Pink Purple Purple Gray Pink\nBlue Green Gray Pink Blue Green Gray Pink\nPurple Red Orange Red Purple Red Orange Red\nOrange Pink Pink Red Black Pink Pink Red\nPurple Purple Gray Pink Purple Purple Gray Pink\nBlue Green Gray Pink Blue Green Gray Pink\nPurple Red Orange Red Purple Red Orange Red\nOrange Pink Pink Red Orange Pink Pink Red\n\nOutput:\nPurple Purple Gray Pink Purple Purple Gray Pink\nBlue Green Gray Pink Blue Green Gray Pink\nPurple Red Orange Red Purple Red Orange Red\nOrange Pink Pink Red Orange Pink Pink Red\nPurple Purple Gray Pink Purple Purple Gray Pink\nBlue Green Gray Pink Blue Green Gray Pink\nPurple Red Orange Red Purple Red Orange Red\nOrange Pink Pink Red Orange Pink Pink Red\n\n\nHere is the input grid for the test example:\nInput:\nPurple Blue Brown Red Purple Blue Brown Red Purple Blue Brown Red\nPurple Pink Brown Red Purple Pink Brown Red Purple Pink Brown Red\nPurple Pink Brown Red Purple Pink Brown Red Purple Pink Brown Red\nPurple Blue Brown Red Purple Blue Brown Red Purple Blue Brown Red\nPurple Black Black Red Purple Blue Brown Red Purple Blue Brown Red\nPurple Black Black Red Purple Pink Brown Red Purple Pink Brown Red\nPurple Pink Brown Red Purple Pink Brown Red Purple Pink Brown Red\nPurple Blue Brown Red Purple Blue Brown Red Purple Blue Brown Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Blue Brown Red Purple Blue Brown Red Purple Blue Brown Red\nPurple Pink Brown Red Purple Pink Brown Red Purple Pink Brown Red\nPurple Pink Brown Red Purple Pink Brown Red Purple Pink Brown Red\nPurple Blue Brown Red Purple Blue Brown Red Purple Blue Brown Red\nPurple Blue Brown Red Purple Blue Brown Red Purple Blue Brown Red\nPurple Pink Brown Red Purple Pink Brown Red Purple Pink Brown Red\nPurple Pink Brown Red Purple Pink Brown Red Purple Pink Brown Red\nPurple Blue Brown Red Purple Blue Brown Red Purple Blue Brown Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Purple Black Black Yellow Black\nBlack Black Black Yellow Black Black Yellow Black\nBlack Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Black Yellow\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Black\nPurple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Black Yellow Black\nPurple Black Black Black Yellow Black Black\nBlack Black Black Yellow 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 Red 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 Purple 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 Yellow Black Black Black Yellow\nBlack Black Black Yellow Black Yellow Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Yellow Black Yellow Black\nBlack Black Yellow Black Black Black Yellow\nBlack Yellow Black Black Black Black Black\nYellow Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black 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 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 Yellow Black Black Black Black Black Yellow\nBlack Black Black Yellow Black Black Black Yellow Black\nBlack Black Purple Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Yellow\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\nBlack Black Brown Black Black Yellow\nBlack Purple Black Black Black Black\nBlack Black Orange Black Black Orange\nBlack Black Black Black Black Black\nGreen Black Black Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Brown Black Black Yellow Yellow Black Black Brown Black Blue\nBlue Purple Black Black Black Black Black Black Black Black Purple Blue\nBlue Black Orange Black Black Orange Orange Black Black Orange Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Black Black Green\nBlue Black Pink Black Black Black Black Black Black Pink Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nGray Orange Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Black\nBlue Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black\n\nOutput:\nGray Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Gray\nBlue Black Red Black Black Black Black Black Black Black Black Black Black Red Black Blue\nBlue Black Black Blue Black Blue Black Black Black Black Blue Black Blue Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Green Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Purple Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Green Black Black Black Black Green Black Black Black Black Black Blue\nBlue Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Yellow Blue Blue Purple Blue Blue Blue Blue Purple Blue Blue Yellow Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black\nBlack Gray Black Brown Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black\nBlack Black Black Brown Black Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Pink Black Black Black Black Pink Black Black Black Blue\nBlue Gray Black Brown Black Black Black Black Black Black Brown Black Gray Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Brown Black Black Brown Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Brown Blue Gray Blue Blue Gray Blue Brown Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 Blue Blue Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Red Red Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Orange Orange 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 Orange Orange Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black 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\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow 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 Yellow Yellow Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow 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 Yellow Yellow Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink 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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Black Black Black Black Green\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 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 Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black 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 Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue 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:\nYellow Yellow Yellow Yellow Yellow Yellow\nRed Green Brown Brown Green Red\nGray Green Brown Brown Green Gray\nOrange Purple Purple Purple Purple Orange\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow\nRed Green Brown Brown Green Red\nGray Green Brown Brown Green Gray\nOrange Purple Purple Purple Purple Orange\nYellow Yellow Yellow Yellow Yellow Yellow\nRed Green Brown Brown Green Red\nGray Green Brown Brown Green Gray\nOrange Purple Purple Purple Purple Orange\n\n\nExample 2\nInput:\nGray Gray Gray Gray\nYellow Gray Gray Yellow\nYellow Gray Gray Yellow\nGray Gray Gray Gray\nGray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray\nYellow Gray Gray Yellow\nYellow Gray Gray Yellow\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nYellow Gray Gray Yellow\nYellow Gray Gray Yellow\nGray Gray Gray Gray\nGray Gray Gray Gray\n\n\nExample 3\nInput:\nYellow Yellow Yellow\nBlue Blue Blue\nBlue Blue Blue\n\nOutput:\nYellow Yellow Yellow\nBlue Blue Blue\nBlue Blue Blue\nYellow Yellow Yellow\nBlue Blue Blue\nBlue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Purple Purple Gray Gray\nGray Pink Red Red Pink Gray\nGray Pink Red Red Pink Gray\nGray Gray Red Red Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Purple Purple Gray Gray\nGray Pink Red Red Pink Gray\nGray Pink Red Red Pink Gray\nGray Gray Red Red Gray Gray\nGray Gray Purple Purple Gray Gray\nGray Pink Red Red Pink Gray\nGray Pink Red Red Pink Gray\nGray Gray Red Red 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\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 Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black\nYellow 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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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\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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black\nRed 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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed 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 Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray 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 Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red 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\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black\nBlack 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 Red Black Black Black Black Black Black Black\nBlack 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 Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Red Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Red Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Red Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Red Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Red Black Black Black Black\n\n\nExample 2\nInput:\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red 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\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Red Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Red Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Red Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Red Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Red Black Black Black\n\n\nExample 3\nInput:\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red 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\nBlack Black Black Black Black Black Red 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\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack 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 Red Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Red Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Red Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Red Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Red Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Red Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Red Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Red Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Red Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Red Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Red Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Red Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Red Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green 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\nOrange Orange Orange Orange Orange Brown Orange Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Green Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Orange Black Orange Green Orange Orange Orange\nOrange Orange Orange Orange Pink Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Yellow Pink Brown Purple Gray 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\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Gray Red Orange Orange Orange\nOrange Orange Orange Orange Green Black Pink Orange Orange Orange\nOrange Orange Orange Orange Yellow Blue Red Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\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 Orange Purple Pink Gray Gray Gray Gray\nGray Gray Gray Gray Green Black Blue Gray Gray Gray Gray\nGray Gray Gray Gray Yellow Yellow Red 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\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\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 Brown Blue Pink Pink Pink Pink\nPink Pink Pink Brown Black Gray Pink Pink Pink\nPink Pink Pink Gray Green 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\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Red Red Red Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\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\nOutput:\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nRed 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\nRed 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\nRed 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\nRed 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\nRed 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\nRed 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\n\n\nHere is the input grid for the test example:\nInput:\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 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 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 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green Red Red Red\nGreen Green Green Red Red Red Red Red Red Green Green Green 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\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 Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack 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 Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGreen Green Black Black Green Green Black Black Black Black Black Black\nGreen Green Black Black Green Green Black Black Black Black Black Black\nGreen Blue Orange Orange Blue Green Black Black Black Black Black Black\nGreen Green Orange Orange Green Green Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Black Black Green Green Green Green Black Black Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green\nGreen Blue Orange Orange Blue Green Green Blue Orange Orange Blue Green\nGreen Green Orange Orange Green Green Green Green Orange Orange Green Green\nBlack Black Orange Orange Black Black Black Black Orange Orange Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black\n\n\nExample 2\nInput:\nGray Purple Pink Purple Gray Black Black Black Black Black\nGray Orange Orange Orange Gray Black Black Black Black Black\nGray Orange Orange Orange Gray Black Black Black Black Black\nGray Gray Orange Gray Gray Black Black Black Black Black\nOrange Pink Pink Pink Orange Black Black Black Black Black\nOrange Orange Black Orange Orange Black Black Black Black Black\nOrange Orange Black Orange Orange Black Black Black Black Black\n\nOutput:\nGray Purple Pink Purple Gray Gray Purple Pink Purple Gray\nGray Orange Orange Orange Gray Gray Orange Orange Orange Gray\nGray Orange Orange Orange Gray Gray Orange Orange Orange Gray\nGray Gray Orange Gray Gray Gray Gray Orange Gray Gray\nOrange Pink Pink Pink Orange Orange Pink Pink Pink Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange\n\n\nExample 3\nInput:\nGray Black Black Black Gray Black Black Black Black Black Black\nGray Green Green Green Gray Black Black Black Black Black Black\nBlue Black Green Black Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Red Orange Orange Black Black Black Black Black Black\nOrange Orange Black Orange Orange Black Black Black Black Black Black\nBrown Black Black Black Brown Black Black Black Black Black Black\n\nOutput:\nGray Black Black Black Gray Black Gray Black Black Black Gray\nGray Green Green Green Gray Black Gray Green Green Green Gray\nBlue Black Green Black Blue Black Blue Black Green Black Blue\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nOrange Orange Red Orange Orange Black Orange Orange Red Orange Orange\nOrange Orange Black Orange Orange Black Orange Orange Black Orange Orange\nBrown Black Black Black Brown Black Brown Black Black Black Brown\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Black Black Black Black Black\nPurple Red Red Purple Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black\nRed Yellow Yellow Red Black Black Black Black Black\nOrange Brown Brown Orange Black Black Black Black Black\nOrange Black Black Orange Black Black Black Black Black\nOrange Black Black Orange Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Black Purple Purple Purple Purple\nPurple Red Red Purple Black Purple Red Red Purple\nRed Red Red Red Black Red Red Red Red\nBlue Blue Blue Blue Black Blue Blue Blue Blue\nRed Yellow Yellow Red Black Red Yellow Yellow Red\nOrange Brown Brown Orange Black Orange Brown Brown Orange\nOrange Black Black Orange Black Orange Black Black Orange\nOrange Black Black Orange Black Orange Black Black Orange\nOrange Orange Orange Orange Black 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:\nGreen Green Green Green Green Green Green Yellow Green Black Black Black Green Green Black\nGreen Green Green Green Green Black Black Yellow Green Green Black Green Green Black Black\nGreen Green Green Black Black Green Green Yellow Black Green Black Green Green Black Black\nBlack Black Green Black Green Green Black Yellow Black Green Black Black Black Green Green\nGreen Green Black Black Black Green Green Yellow Green Black Black Green Green Black Green\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown\nBlack Brown Brown Black Brown Brown Brown\nBrown Brown Black Brown Brown Brown Brown\n\n\nExample 2\nInput:\nGreen Black Green Green Yellow Green Green Black Green\nBlack Black Black Green Yellow Black Black Black Black\nGreen Black Green Green Yellow Green Black Black Black\nBlack Black Green Green Yellow Green Green Black Black\nBlack Green Green Green Yellow Green Green Green Black\nGreen Green Green Black Yellow Black Green Green Green\nGreen Green Green Green Yellow Black Black Green Green\n\nOutput:\nBrown Brown Brown Brown\nBlack Black Black Brown\nBrown Black Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\n\n\nExample 3\nInput:\nGreen Green Green Green Yellow Black Green Black Green\nGreen Black Black Black Yellow Black Black Green Black\nBlack Green Black Green Yellow Green Green Black Black\nBlack Black Black Black Yellow Black Green Green Black\nGreen Black Black Black Yellow Black Green Black Black\nGreen Black Green Green Yellow Black Black Green Green\nGreen Black Green Green Yellow Black Black Green Green\nBlack Black Black Black Yellow Green Black Green Black\n\nOutput:\nBrown Brown Brown Brown\nBrown Black Brown Black\nBrown Brown Black Brown\nBlack Brown Brown Black\nBrown Brown Black Black\nBrown Black Brown Brown\nBrown Black Brown Brown\nBrown Black Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Green Green Green Black Yellow Green Black Green Black Green Black\nBlack Black Black Black Green Black Yellow Green Green Black Black Black Green\nGreen Black Black Black Black Green Yellow Black Black Black Black Black Green\nGreen Green Green Green Black Black Yellow Green Green Green Black Green Black\nGreen Black Green Black Black Green Yellow Green Green Black Green Green Green\nGreen Green Black Green Black Green Yellow Black Black Black Black Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Black Brown Brown Brown Black\nBrown Brown Black Black Brown Brown\nBrown Black Black Black Black Brown\nBrown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown\nBrown Brown Black 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Purple Brown Black Black\nBlack Black Black Black Blue Blue Brown Black\nBlack Black Black Black Black Blue 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\n\nOutput:\nBlue Brown Black Black Black Blue Blue Brown\nBlue Purple Black Black Black Black Blue Purple\nBlack Black Purple Brown Black Black Black Black\nBlack Black Blue Blue Brown Black Black Black\nBlack Black Black Blue Purple Black Black Black\nBrown Black Black Black Black Purple Brown Black\nBlue Brown Black Black Black Blue Blue Brown\nBlue Purple Black Black Black Black Blue Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Blue Green Black Black Black Black\nBlack Blue Green 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:\nGreen Black Black Blue Green Black Black\nBlack Blue Green Black Black Blue Green\nBlack Blue Green Black Black Blue Green\nGreen Black Black Blue Green Black Black\nGreen Black Black Blue Green Black Black\nBlack Blue Green Black Black Blue Green\nBlack Blue Green Black Black Blue Green\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 Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\n\nOutput:\nBlack Blue Blue Black Black Blue Blue Black Black\nBlue Black Black Blue Blue Black Black Blue Blue\nBlue Black Black Blue Blue Black Black Blue Blue\nBlack Blue Blue Black Black Blue Blue Black Black\nBlack Blue Blue Black Black Blue Blue Black Black\nBlue Black Black Blue Blue Black Black Blue Blue\nBlue Black Black Blue Blue Black Black Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Yellow Black Black Black Yellow Black Yellow\nBlue Blue Blue Black Black Black Blue Blue Blue\nBlue Black Blue Black Black Black Blue Black Blue\nBlack Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Blue Black Black Black\nYellow Black Yellow Black Black Black Yellow Black Yellow\nBlue Blue Blue Black Black Black Blue Blue Blue\nBlue Black Blue Black Black Black Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Blue Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Blue Blue 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 Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Pink Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Black Black Pink Pink 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Black Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Black Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink 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 Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Black Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Black Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Black Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Blue Black Blue Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Pink Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\n\nOutput:\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\n\nOutput:\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\n\nOutput:\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange Pink Pink Pink Orange Orange Orange 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 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\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Pink Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\n\nOutput:\nBlack Orange Black Black\nOrange Pink Orange Orange\nBlack Orange Black Black\nBlack Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Yellow Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\n\nOutput:\nBlack Orange Black\nOrange Yellow Orange\nBlack Orange 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Brown Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\n\nOutput:\nBlack Black Gray Black Black\nBlack Black Gray Black Black\nGray Gray Brown Gray Gray\nBlack Black Gray Black Black\nBlack 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Black Black\nBlack Black Pink Black Black\nPink Pink Gray Pink Pink\nBlack Black Pink Black Black\nBlack Black Pink Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Pink Orange Black Black Black Black Black Black Black Orange Pink Green Black Black Black Black\nYellow Red Green Black Black Black Black Black Black Black Gray Brown Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Red Purple 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 Yellow Purple Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Orange Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Green 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 Red Purple Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Orange Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Purple Gray\n\nOutput:\nPink Orange Black Black Black Black Black Black Black Orange Pink Green Black Black Black Black Black\nPink Orange Black Black Black Black Black Black Black Orange Pink Green Black Black Black Black Black\nPink Orange Black Black Black Black Black Black Black Orange Pink Green Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Gray Brown Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Red Purple 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 Yellow Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Orange Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Green 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 Red Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Orange Orange Orange\n\n\nExample 2\nInput:\nOrange Blue Pink Black Black Black Black Black Black Black Orange Gray Blue Black Black\nOrange Purple Blue Black Black Black Black Black Black Black Blue Purple Green Black Black\nBrown Blue Pink Black Black Black Black Black Black Black Gray Blue Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Brown Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Red Orange Black Black Black Black\nBlack Orange Blue Pink Black Black Black Black Pink Purple Green Black Black Black Black\nBlack Red Yellow Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Gray Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nPurple Blue Black Black Black Black Black Black Black Blue Purple Green Black Black Black\nPurple Blue Black Black Black Black Black Black Black Blue Purple Green Black Black Black\nPurple Blue Black Black Black Black Black Black Black Blue Purple Green Black Black Black\nBlue Pink Black Black Black Black Black Black Black Gray Blue Gray 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 Green Brown Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Red Orange Black Black Black Black Black\nOrange Blue Pink Black Black Black Black Pink Purple Green Black Black Black Black Black\nRed Yellow Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Gray Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Red Pink Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Brown Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Purple Black Black Black Purple Pink Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Green Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Purple Brown Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Red Pink Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Brown Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Purple Black Black Black Purple Pink Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Green Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Purple Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Pink Brown Pink Black Black Black Black Black Black Black Black Black Black\nBlack Purple Pink Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Blue Gray Black Black Black Black\nBlack Black Black Black Black Black Black Green Pink Orange Gray Pink Blue Black\nBlack Black Black Black Black Black Black Gray Red Gray Purple Brown Pink Black\nBlack Black Black Black Black Black Black Black Black Black Blue Pink Gray 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\nPink Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nPink Brown Pink Black Black Black Black Black Black Black Black Black Black Black\nPurple Pink Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Blue Gray Black Black Black Black Black\nBlack Black Black Black Black Black Green Pink Orange Gray Pink Blue Blue Blue\nBlack Black Black Black Black Black Gray Red Gray Purple Brown Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Blue Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Green Green Green Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black 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 Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black 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 Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Orange 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 Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Orange 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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown 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 Black Black Black Black Black Black Black Brown Brown Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown 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 Black Black Black Black Black Black Black Brown Brown Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown 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\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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink 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 Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow 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 Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink 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 Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Brown Black Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Brown Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Brown Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBrown Black Brown Brown Brown Brown Black Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBrown Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Brown Black Black Black Black Black\nBrown Black Black Black Black Black Black 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\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 Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black\nGray Gray Gray Pink Pink Pink Pink Pink Black Black Black Black\nBlack Gray Gray Pink Pink Pink Pink Pink Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Gray Gray Black Black Black Black Black\nGray Black Gray Yellow Yellow Yellow Gray Gray Black Black Black Black Black\nBlack Gray Gray Yellow Yellow Yellow Gray Gray Black Black Black Black Black\nGray Black Gray Yellow Yellow Yellow Gray Gray Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Gray Black Black Black Black Black\nGray Black Gray Black Black Black Gray Gray Black Black Black Black Black\nBlack Gray Gray Black Black Black Gray Gray Black Black Black Black Black\nGray Black Gray Black Black Black Gray Gray Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Black Pink Pink Pink Black Black Black Black Black\nBlack Pink Black Pink Pink Pink Pink Blue Blue Blue Black\nBlack Pink Pink Pink Black Pink Pink Blue Blue Blue Black\nBlack Pink Black Pink Pink Pink Pink Blue Blue Blue Black\nBlack Pink Black Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Black Pink Pink Pink Black Black Black Black Black\nBlack Pink Black Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Black Pink Pink Black Black Black Black\nBlack Pink Black Pink Pink Pink Pink Black Black Black Black\nBlack Pink Black Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nExample 2\nInput:\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple\nPurple Purple Purple\nPurple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGreen Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nYellow Yellow Blue Blue Blue Blue Blue Black Black Black\nYellow Yellow Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Blue Blue Blue Blue Black Black Black\nYellow Yellow Blue Blue Blue Blue Blue Black Black Black\nYellow Yellow Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Pink Pink Blue Blue Blue Blue Black Black Black\nBlack Pink Pink Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Pink Pink Blue Blue Blue Blue Black Black Black\nBlack Pink Pink Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Red Black Black\nBlack Black Black Black Black\nBlue Black Black Black Gray\nBlack Black Black Black Black\nBlack Black Green Black Black\n\nOutput:\nBlack Black Green Black Black\nBlack Black Black Black Black\nGray Black Black Black Blue\nBlack Black Black Black Black\nBlack Black Red Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Black Black\nBlack Black Black Black Black\nRed Black Black Black Gray\nBlack Black Black Black Black\nBlack Black Purple Black Black\n\nOutput:\nBlack Black Purple Black Black\nBlack Black Black Black Black\nGray Black Black Black Red\nBlack Black Black Black Black\nBlack Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Purple Black Black\nBlack Black Black Black Black\nRed Black Black Black Pink\nBlack Black Black Black Black\nBlack Black Brown Black Black\n\nOutput:\nBlack Black Brown Black Black\nBlack Black Black Black Black\nPink Black Black Black Red\nBlack Black Black Black Black\nBlack Black Purple Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Black Black\nBlack Black Black Black Black\nGreen Black Black Black Yellow\nBlack Black Black Black Black\nBlack Black Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Black Black\nBlack Black Black Black Black\nYellow Black Black Black Green\nBlack Black Black Black Black\nBlack Black Red Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Black Purple Yellow Black Black Black Black Black Black\nYellow Black Purple Yellow Black Black Black Black Black Black\nYellow Blue Blue Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Red Red\nBlack Black Black Black Black Black Black Black Red Red\nGreen Green Green Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black 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 Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black 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\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 Orange Orange Black Black Black Black Black\nBlack Black Red Orange Orange Black Black Black Green Green\nBlack Black Red Black Black Black Black Black Green Green\nBlack Black Red Black Black Black Black Black Green 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\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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Orange Yellow Black Black Black Yellow Yellow\nBlack Black Yellow Black Yellow Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black\nBlack Black Pink Pink Black\nBlack Black Pink Pink Black\nBlack Black Black Black Black\n\nOutput:\nPink Pink Black Black Black\nPink Pink Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Black Black Black\nYellow Yellow 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\nBlack Black Black Black Black\nBlack Black Purple Purple Black\nBlack Black Purple Purple Black\nBlack Black Black Black Black\n\nOutput:\nPurple Purple Black Black Black\nPurple Purple Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Purple Purple Black\nBlack Black Purple Purple 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```\nPurple Purple Black Black Black\nPurple Purple Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black\nGray Yellow Gray Black Black Gray Gray Gray\nGray Gray Gray Black Black Gray Brown Gray\nBlack Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBrown Brown Brown Purple Purple Purple Black Black\nBrown Yellow Brown Purple Orange Purple Black Black\nBrown Brown Brown Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Green Green\nBlack Black Black Black Green Orange Green\nBlack Black Black Black Green Green Green\nBlack Black Black Black Black Black Black\nBlack Black Black Black Green Green Green\nBlack Black Black Black Green Pink Green\nBlack Black Black Black Green Green Green\nGreen Green Green Black Yellow Yellow Yellow\nGreen Yellow Green Black Yellow Pink Yellow\nGreen Green Green Black Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Gray Gray Gray Black Black\nBlack Black Gray Pink Gray Black Black\nBlack Black Gray Gray Gray 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 Red Red Red Black Black\nBlack Black Red Purple Red Black Black\nBlack Black Red Red Red Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black\nBlack Black Black Black Green Red Green Black Black\nGreen Green Green Black Green Green Green Black Black\nGreen Blue Green Black Red Red Red Black Black\nGreen Green Green Black Red Brown Red Black Black\nBlack Black Black Black Red Red Red 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nOrange Pink Pink Brown Brown\nGray Blue Blue Green Green\nBlue Blue Blue Orange Red\nBlue Gray Blue Blue Brown\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Brown Brown Pink Pink Orange Black\nBlack Green Green Blue Blue Gray Black\nBlack Red Orange Blue Blue Blue Black\nBlack Brown Blue Blue Gray Blue Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Orange Orange\nOrange Orange Orange Orange\nGreen Orange Blue Orange\nGreen Purple Pink Blue\nOrange Yellow Yellow Blue\n\nOutput:\nBlack Black Black Black Black Black\nBlack Orange Orange Red Red Black\nBlack Orange Orange Orange Orange Black\nBlack Orange Blue Orange Green Black\nBlack Blue Pink Purple Green Black\nBlack Blue Yellow Yellow Orange Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Orange Purple Brown Orange\nBlue Orange Brown Brown Purple\nBlue Gray Red Red Red\nGray Gray Red Blue Gray\nGray Brown Yellow Gray Pink\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Orange Brown Purple Orange Orange Black\nBlack Purple Brown Brown Orange Blue Black\nBlack Red Red Red Gray Blue Black\nBlack Gray Blue Red Gray Gray Black\nBlack Pink Gray Yellow Brown Gray Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Blue Purple\nBlue Blue Yellow\nBlue Pink Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Purple Blue Pink Black\nBlack Yellow Blue Blue Black\nBlack Red Pink Blue 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Orange Black Orange Orange Black Black Black Black Black\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 Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Pink Pink 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 Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Blue Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Blue Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue 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\n\nOutput:\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Gray Gray Pink 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\nBlack Black Black Pink 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Pink Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Gray 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\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Black Black\nBlack Black Black Black Green Blue Black\nBlack Black Black Black Black Green Blue\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Blue Green Green\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Pink Black Black Black Black Black\nBlack Black Black Black Pink Gray Black\nBlack Black Black Black Black Pink Gray\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Gray Pink Pink\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Blue Green Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Black Black Black Black Black Green\nBlack Black Black Black Black Green Blue\nBlack Black Black Black Black Black Green\nBlack Black Black Green Black Black Black\nBlack Black Black Blue Green Black Black\nBlack Black Blue Black Green Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Black Green Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Gray Pink Black Black Black Black\nBlack Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Pink Gray\nBlack Black Black Black Black Black Pink\nBlack Black Black Pink Black Black Black\nBlack Black Black Gray Pink Black Black\nBlack Black Pink Black Pink Black Black\nBlack Black Black Black Gray Black Black\nBlack Black Black Black Pink Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Blue Green Black\nBlue Black Black Blue Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlue 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 Gray Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Gray Pink Black\nGray Black Black Gray Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 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 Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 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 Pink Pink Pink 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\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\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\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Orange Black Black Purple Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Pink Red Black\nBlack Black Black Black Black Green Black Black Black Orange Black Yellow\nOrange Black Black Black Brown Black Brown Black Black Orange Purple Orange\nBrown Black Black Black Pink Black Black Blue Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Gray Black Black\nGreen Pink Black Black Black Black Black Black Orange Black Yellow Purple\nBlack Black Black Black Black Black Black Black Gray Gray Black Orange\n\nOutput:\nBlack Orange Orange Black Purple Purple Orange Black Black Black Black Black\nBlack Orange Orange Black Purple Orange Orange Black Pink Pink Red Black\nBlack Black Black Black Green Green Orange Black Orange Orange Yellow Yellow\nOrange Black Black Brown Brown Brown Brown Black Orange Orange Purple Orange\nBrown Black Black Pink Pink Brown Blue Blue Orange Orange Purple Orange\nBrown Pink Pink Pink Pink Black Blue Blue Gray Gray Black Black\nGreen Pink Pink Black Black Black Black Orange Orange Yellow Yellow Purple\nGreen Pink Black Black Black Black Black Gray Gray Gray Orange Orange\n\n\nExample 2\nInput:\nBlack Black Pink Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Blue Black Black\nBlack Green Black Brown Black Red Brown Black Blue Orange\nBlack Gray Black Purple Black Black Black Pink Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBrown Gray Purple Black Brown Yellow Black Black Black Black\nBlack Black Blue Black Black Purple Black Black Black Brown\n\nOutput:\nBlack Pink Pink Black Black Black Black Black Black Black\nRed Pink Pink Black Black Black Blue Blue Black Black\nGreen Green Brown Brown Red Red Brown Blue Blue Orange\nGray Gray Purple Purple Red Red Pink Pink Blue Orange\nGray Gray Purple Purple Black Orange Orange Pink Black Black\nBrown Gray Purple Brown Brown Yellow Orange Black Black Black\nBrown Blue Blue Brown Purple Purple Black Black Brown Brown\n\n\nExample 3\nInput:\nBlack Blue Yellow Black Green Black Black Black Gray Black Blue\nBlack Green Orange Black Black Blue Black Black Pink Black Black\nBlack Black Black Black Black Black Purple Pink Black Black Black\nBlack Black Purple Black Black Black Gray Yellow Black Black Black\nBlack Black Black Yellow Black Purple Brown Black Orange Black Black\nBlack Black Black Red Orange Brown Black Black Black Black Black\nBlack Black Black Blue Black Black Green Black Black Black Black\n\nOutput:\nBlue Blue Yellow Green Green Black Black Gray Gray Blue Blue\nGreen Green Orange Green Blue Blue Black Pink Pink Blue Blue\nGreen Green Orange Black Blue Purple Purple Pink Pink Black Black\nBlack Purple Purple Black Black Gray Gray Yellow Black Black Black\nBlack Purple Yellow Yellow Purple Purple Brown Orange Orange Black Black\nBlack Black Red Red Orange Brown Brown Orange Orange Black Black\nBlack Black Blue Blue Orange Green Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Brown Black Purple Brown Orange\nPink Brown Pink Brown Black Gray Black Black Black\nBlack Gray Black Gray Pink Black Black Black Black\nBlue Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Blue Black Pink Brown\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Green Pink Black Black\nBlack Black Gray Pink Pink Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Brown Brown Purple Purple Brown Orange\nPink Brown Pink Brown Gray Gray Purple Brown Orange\nGray Gray Gray Gray Pink Gray Black Black Black\nBlue Gray Gray Yellow Yellow Black Black Black Black\nBlue Black Black Yellow Blue Blue Pink Pink Brown\nBlack Black Black Black Blue Pink Pink Pink Brown\nBlack Black Black Black Black Pink Pink Black Black\nOrange Orange Black Black Green Green Pink Black Black\nOrange Gray Gray Pink Pink Green Pink Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Green Green Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Green Green Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Green Green Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Green Green Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Green Green Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Green Green Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Green Green Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Green Green Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Green Green Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black\nBlack Black Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black\nBlack Black Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black\nBlack Black Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black\nBlack Black Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black\nBlack Black Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black\nBlack Black Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black\nBlack Black Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black\nBlack Black Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black\nBlack Black Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black\nBlack Black Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black Black\nBlack Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black Black\nBlack Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black Black\nBlack Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black Black\nBlack Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black Black\nBlack Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black Black\nBlack Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black Black\nBlack Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black Black\nBlack Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black Black\nBlack Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black Black\nBlack Black Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Green Green Green Green Green Green Green Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Green Green Green Green Green Green Green Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBlack Black Pink Pink Purple Purple Orange Orange Blue 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 Black Black Black Black Black Black 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 Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBlack Black Pink Pink Purple Purple Orange Orange Blue 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBlack Black Pink Pink Purple Purple Orange Orange Blue 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 Black Black Black Black Black Black 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\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Brown Brown Black\nBlack Black Brown Black Black\nBlack Black Brown Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Brown Brown Black Black\nBlack Black Brown Black Black\nBlack Black Brown Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Black Black\nBlack Blue Black Blue 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 Blue Blue Blue Black\nBlack Black Blue Black Blue 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 Black Black Pink Black Black\nBlack Black Black Pink Black Black\nBlack Black Black Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink 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 Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Purple Purple Black Black Black Black\nBlack Black Black Blue Yellow Blue Purple Black Black Black Black Black\nBlack Black Gray Yellow Blue Brown Brown Blue Black Black Black Black\nBlack Black Gray Purple Purple Brown Brown Purple Black Black Black Black\nBlack Black Black Black Purple Brown Purple Black Black Black Black Black\nBlack Black Yellow Blue Black Brown Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Yellow Yellow\nBlack Blue Yellow Blue Yellow Black\nGray Yellow Blue Pink Pink Blue\nGray Yellow Yellow Pink Pink Yellow\nBlack Black Yellow Pink Yellow Black\nYellow Blue Black Pink Black Black\nYellow Yellow Pink Pink Black Black\nBlue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Green Pink Black Black\nBlack Black Black Green Orange Pink Pink Green Green Pink Black Black\nBlack Black Black Orange Orange Orange Orange Orange Gray Gray Pink Black\nBlack Black Black Green Orange Pink Pink Green Green Pink Black Black\nBlack Black Black Purple Purple Purple Black Black Green 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:\nYellow Yellow Yellow Black Black Red Pink Black\nRed Blue Pink Pink Red Red Pink Black\nBlue Blue Blue Blue Blue Gray Gray Pink\nRed Blue Pink Pink Red Red Pink Black\nYellow Yellow Yellow Black Black Red Pink Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Green Green Green Gray Gray Yellow 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\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Gray Black Blue\nBlack Black Black Black Black Black Gray Black Blue\nBlack Black Black Black Black Gray Black Yellow Red\nBlue Blue Red Red Red Gray Gray Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Red Black Gray Black Black Black Black Black Black\nBlack Black Black Brown Red Brown Gray Blue Black Black Black Black Black\nBlack Red Red Red Brown Red Red Red Black Black Black Black Black\nBlack Blue Gray Brown Red Brown Black Black Black Black Black Black Black\nBlack Black Gray Black Red Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black Black Black Black\nBlack Black 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Red Black Black Black\nBlack Gray Gray Red Black Gray Black\nBlack Black Pink Red Pink Gray Blue\nRed Red Red Pink Red Red Red\nBlue Gray Pink Red Pink Black Black\nBlack Gray Black Red Gray Gray Black\nBlack Black Black Red Blue Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Black Green Black Green Green Green Black Black Green Green Black Green Green Black Black Black Black Green\nGreen Black Green Green Green Green Green Green Black Black Green Black Green Green Green Black Green Green Black Black\nBlack Green Green Green Green Green Green Green Green Green Green Black Green Black Green Green Green Black Black Green\nGreen Green Black Black Green Green Green Black Green Green Green Black Black Black Green Black Black Green Green Green\nBlack Green Green Black Green Green Green Black Green Green Green Green Black Green Green Green Green Green Black Black\nGreen Green Green Black Green Green Black Green Green Green Green Green Green Green Green Green Black Green Green Green\nGreen Green Green Black Green Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green\nGreen Green Black Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Green Green Green Green Green Black Green Green Black Black Green Green Black Green Green Green\nBlack Black Green Black Green Black Green Green Green Black Green Green Green Green Green Green Black Green Green Black\nBlack Green Green Black Green Green Black Black Green Black Green Green Black Black Green Green Green Black Green Green\nBlack Green Green Black Black Green Black Green Green Green Green Green Black Green Black Green Black Black Green Green\nGreen Green Green Green Green Green Black Green Green Green Green Green Black Green Green Green Black Green Green Green\nGreen Green Black Black Green Black Green Black Green Green Green Green Black Green Black Black Green Black Green Green\nBlack Black Green Green Black Green Black Green Green Green Black Green Green Black Black Green Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green Black Green Green Green Black Green Black Green Black Black\nBlack Green Green Green Black Green Green Black Green Green Black Green Green Black Green Green Green Green Green Green\nGreen Green Black Green Green Black Black Green Black Green Green Green Green Green Green Black Black Green Green Green\nGreen Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Black Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green Black Green Green Green Green Green Green Green\n\nOutput:\nBlack Green Black Green Black Green Green Green Black Black Green Green Black Green Green Black Black Black Black Green\nGreen Black Green Green Green Green Green Green Black Black Green Black Green Yellow Yellow Black Green Green Black Black\nBlack Green Green Yellow Yellow Green Green Yellow Yellow Green Green Black Green Black Yellow Green Green Black Black Green\nYellow Yellow Black Black Yellow Green Green Black Yellow Green Green Black Black Black Green Black Black Green Green Green\nBlack Yellow Green Black Green Green Green Black Green Green Green Green Black Green Green Green Yellow Yellow Black Black\nGreen Green Green Black Green Green Black Green Green Green Green Green Green Yellow Yellow Green Black Yellow Green Green\nGreen Green Green Black Green Green Green Green Yellow Yellow Green Green Black Black Yellow Green Green Green Green Green\nGreen Green Black Black Green Green Green Green Black Yellow Yellow Green Green Yellow Yellow Green Yellow Yellow Green Green\nGreen Yellow Yellow Black Green Yellow Yellow Green Green Black Yellow Green Black Black Yellow Green Black Yellow Green Green\nBlack Black Yellow Black Green Black Yellow Yellow Yellow Black Green Green Green Yellow Yellow Green Black Yellow Yellow Black\nBlack Green Green Black Yellow Yellow Black Black Yellow Black Green Green Black Black Yellow Yellow Green Black Yellow Green\nBlack Green Green Black Black Yellow Black Green Green Green Green Green Black Green Black Yellow Black Black Green Green\nGreen Green Green Yellow Yellow Green Black Yellow Yellow Green Green Green Black Green Green Green Black Yellow Yellow Green\nGreen Green Black Black Yellow Black Green Black Yellow Green Yellow Yellow Black Green Black Black Green Black Yellow Green\nBlack Black Green Green Black Green Black Green Green Green Black Yellow Green Black Black Green Yellow Yellow Green Green\nYellow Yellow Green Green Black Black Green Yellow Yellow Green Black Green Green Green Black Green Black Yellow Black Black\nBlack Yellow Yellow Yellow Black Green Green Black Yellow Yellow Black Green Green Black Green Green Yellow Yellow Green Green\nGreen Green Black Yellow Green Black Black Green Black Yellow Green Green Green Green Green Black Black Yellow Yellow Green\nGreen Black Green Yellow Yellow Green Black Green Green Yellow Yellow Green Yellow Yellow Green Green Green Black Yellow Green\nGreen Green Black Black Yellow Green Green Green Black Black Yellow Green Black Yellow Green Green Green Green Green Green\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Black Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Black Black Black Green Green Green Green Green Green Black Green Green Green Black Green Green\nGreen Green Green Green Green Green Green Green Green Black Green Black Black Green Green Green Green Black Green Green\nBlack Green Black Black Black Green Black Green Green Black Green Green Black Green Green Green Green Green Green Green\nBlack Green Black Green Green Green Green Black Green Green Green Green Green Green Black Green Green Green Black Black\nBlack Green Green Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Green Black Black Black Green Green Green Black Green Green Green Green Black Black Green Black Green Black Green\nGreen Black Green Green Green Black Green Black Green Green Green Green Green Black Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Black Black Green Black Green Green Green Green Black Black Green Green\nGreen Green Green Green Black Green Green Green Green Green Black Green Black Green Green Green Green Green Black Black\nBlack Green Green Green Green Black Green Black Green Green Green Green Black Black Green Green Green Green Black Green\nGreen Black Black Green Green Green Black Green Black Black Green Green Black Green Green Green Black Black Green Green\nGreen Green Black Green Green Green Black Green Green Green Green Black Green Green Green Green Green Green Green Green\nBlack Green Green Black Black Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Black Green Green Black Black Green Green Green Green Green Green Black Black Green\nGreen Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Green Green\nBlack Green Green Green Green Green Green Black Green Black Green Black Green Green Green Green Black Green Green Green\nBlack Green Black Green Green Black Green Black Green Green Green Green Black Green Black Black Green Green Black Green\nBlack Green Black Black Black Green Green Green Green Green Green Black Green Black Green Green Green Green Green Green\nBlack Black Black Green Green Black Green Green Green Black Green Black Green Black Green Green Green Green Black Black\n\nOutput:\nGreen Green Green Green Green Green Yellow Yellow Green Black Green Black Green Yellow Yellow Green Green Yellow Yellow Green\nGreen Green Green Green Black Black Black Yellow Green Yellow Yellow Green Green Black Yellow Green Green Black Yellow Green\nYellow Yellow Green Green Yellow Yellow Yellow Yellow Green Black Yellow Black Black Green Green Green Green Black Green Green\nBlack Yellow Black Black Black Yellow Black Yellow Yellow Black Green Green Black Green Yellow Yellow Green Green Green Green\nBlack Green Black Green Yellow Yellow Green Black Yellow Green Green Green Green Green Black Yellow Green Green Black Black\nBlack Green Green Black Black Yellow Green Green Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Green Black Black Black Yellow Yellow Green Black Yellow Green Green Green Black Black Yellow Black Yellow Black Yellow\nGreen Black Green Green Green Black Yellow Black Green Yellow Yellow Yellow Yellow Black Green Green Green Yellow Yellow Green\nBlack Green Green Green Yellow Yellow Green Green Black Black Yellow Black Yellow Yellow Green Green Black Black Yellow Green\nYellow Yellow Green Green Black Yellow Yellow Yellow Yellow Green Black Green Black Yellow Yellow Green Green Green Black Black\nBlack Yellow Yellow Yellow Green Black Yellow Black Yellow Yellow Yellow Green Black Black Yellow Green Green Green Black Green\nGreen Black Black Yellow Green Green Black Green Black Black Yellow Green Black Green Green Green Black Black Green Green\nYellow Yellow Black Green Yellow Yellow Black Green Green Green Green Black Yellow Yellow Green Green Green Green Green Green\nBlack Yellow Green Black Black Yellow Yellow Yellow Green Green Black Black Black Yellow Green Green Green Green Yellow Yellow\nGreen Green Black Green Green Green Black Yellow Green Black Black Green Green Green Green Green Green Black Black Yellow\nGreen Black Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Green Green\nBlack Green Yellow Yellow Green Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Green Green Black Green Yellow Yellow\nBlack Green Black Yellow Green Black Yellow Black Green Green Green Green Black Yellow Black Black Green Green Black Yellow\nBlack Green Black Black Black Yellow Yellow Green Green Yellow Yellow Black Green Black Green Green Green Green Green Green\nBlack Black Black Green Green Black Yellow Green Green Black Yellow Black Green Black Green Green Green Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Black Yellow Black Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Black Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Black\nYellow Yellow Black Yellow Yellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black Black Yellow Yellow Black Yellow Black\nBlack Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Green Green Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow\nYellow Yellow Yellow Black Green Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Yellow Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Black Yellow Black Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Black Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Black\nYellow Yellow Black Yellow Yellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black Black Yellow Yellow Black Yellow Black\nBlack Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow\nYellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Yellow Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Orange 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\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange 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 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Purple Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Purple Red Red Red\nRed Red Red Red Red Red Purple Red Red Red\nRed Red Red Red Red Orange Orange Orange Red Red\nRed Red Red Red Red Red Purple Red Red Red\nRed Red Red Red Red Red Purple Red Red Red\nRed Purple Purple Purple Purple Purple Purple Purple Red Red\nRed Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nRed Red Gray Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Gray Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Pink Red Red\nRed Red Red Red Red Red Red Pink Red Red\nRed Red Red Red Red Red Red Pink Red Red\nRed Red Red Red Red Red Red Pink Red Red\nRed Red Red Red Red Red Red Pink Red Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Red\nRed Red Red Red Red Red Red Pink Red Red\nRed Red Red Red Red Red Red Pink Red Red\nRed Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\n\nOutput:\nRed Red Red Red Red Red Red Orange Red Red\nRed Red Red Red Red Red Red Orange Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Orange Red Red\nRed Red Orange Orange Orange Orange Orange Orange Orange Red\nRed Red Red Red Red Red Red Orange Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red\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 Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\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 Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Gray Red Red Red Red\nRed Red Red Red Red Gray Red Red Red Red\nRed Red Red Red Red Gray Red Red Red Red\nRed Red Red Red Red Gray Red Red Red Red\nRed Red Red Red Red Gray Red Red Red Red\nRed Red Red Red Red Gray Red Red Red Red\nRed Red Red Red Red Gray Red Red Red Red\nRed Red Red Red Red Gray Red Red Red Red\nGray Gray Gray Gray Gray 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:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Black Black\nGray Gray Gray Black Black\n\nOutput:\nBlack Black Black Gray Gray\nBlack Black Black Gray Gray\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray\nGray Gray Black Black Black\nGray Gray Black Black Black\nGray Gray Black Black Black\nGray Gray Gray Gray Gray\n\nOutput:\nBlack Gray Gray Gray Black\nBlack Gray Gray Gray Black\nBlack Gray Gray Gray Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nBlack Black Black Gray Gray\nBlack Black Black Gray Gray\nBlack Black Black Gray Gray\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Gray Gray Gray\nBlack Black Gray Gray Gray\nBlack Black Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray 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 Gray\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Gray Gray Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Gray Gray Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Brown Yellow Yellow Red\nBlack Black Black Black Black Black Black Purple Purple Brown Yellow Yellow Red\nBlack Black Black Black Black Black Brown Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Brown Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Purple Gray Gray Red Red Red Red Red Red Red\nRed Red Red Red Purple Red Red Red Red Red Red Red Red\nRed Red Red Purple Gray Gray Red Red Red Red Red Red Red\nRed Red Red Red Red Red Brown Brown Red Brown Yellow Yellow Red\nRed Red Red Red Red Red Red Purple Purple Brown Yellow Yellow Red\nRed Red Red Red Red Red Brown Purple Purple Red Red Red Red\nRed Red Red Red Red Red Brown Red Brown Brown Red Red Red\nRed Red Red Red Red Red Red Red Blue Black Blue Blue Red\nRed Red Red Red Red Red Red Red Blue Blue Blue Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Red\nRed Red Red Red Red Red Red Red Blue Blue Red Blue Red\nRed 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 Red Black Red Black Black Black Black\nBlack Yellow Yellow Black Black Red Black Red Black Black Black Black\nBlack Blue Blue Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Blue Blue Red Red Orange Orange Orange Red Red Red Red\nRed Red Red Red Red Orange Orange Orange Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Yellow Red\nRed Red Red Red Red Red Red Red Red Red Yellow Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Orange Orange Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Blue Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Blue Gray Black\nBlack Black Black Black Black Black Black Black Red Orange Red Black\nBlack Black Black Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Blue Orange Orange Red\nRed Red Red Red Red Red Red Red Brown Brown Red Red\nRed Red Red Red Red Red Red Red Brown Brown Red Red\nRed Red Red Red Red Red Red Red Blue Orange Orange Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Gray Blue Gray Red\nRed Red Red Red Red Red Red Red Red Orange Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Orange Orange Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Orange Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Pink Yellow Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Blue Red Red Red Red Red Red Red Red\nRed Red Red Red Red Blue Blue Red Red Red Red Red Red Red\nRed Red Red Red Red Blue Red Red Red Red Red Red Red Red\nRed Red Red Orange Yellow Yellow Yellow Red Red Red Red Red Red Red\nRed Red Pink Yellow Red Red Pink Red Red Red Red Red Red Red\nRed Red Red Red Red Red Brown Red Red Red Red Red Red Red\nRed Red Red Red Red Red Purple Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Red Red Red Red Red Red Red\nRed Red Red Red Red Red Green Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Orange Red Brown Red Brown Red Purple Purple\nBlue Green Purple Brown Purple Blue Yellow Red Gray\nBrown Blue Purple Purple Yellow Yellow Gray Yellow Pink\nYellow Green Orange Purple Gray Pink Pink Purple Gray\nGreen Purple Yellow Gray Brown Purple Brown Orange Yellow\nRed Orange Orange Green Orange Blue Purple Green Green\nGray Orange Blue Pink Gray Purple Orange Yellow Purple\nPink Orange Brown Green Green Orange Orange Brown Orange\nYellow Purple Orange Pink Yellow Pink Brown Purple Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Black\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Black\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Black\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black\n\n\nExample 2\nInput:\nGray Orange Gray Purple Purple Orange Green Red Red\nOrange Orange Brown Brown Purple Purple Purple Red Yellow\nRed Pink Orange Yellow Brown Gray Gray Orange Pink\nRed Purple Gray Pink Gray Yellow Purple Pink Orange\nPurple Pink Orange Blue Green Red Pink Blue Purple\nPink Green Green Yellow Yellow Orange Yellow Blue Purple\nBrown Purple Purple Brown Pink Orange Blue Orange Brown\nGray Red Orange Brown Blue Purple Brown Gray Brown\nGreen Pink Orange Yellow Blue Red Green Pink Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Purple Purple Purple Purple Black\nOrange Orange Orange Orange Purple Purple Purple Purple Black\nOrange Orange Orange Orange Purple Purple Purple Purple Black\nOrange Orange Orange Orange Purple Purple Purple Purple Black\nGreen Green Green Green Blue Blue Blue Blue Black\nGreen Green Green Green Blue Blue Blue Blue Black\nGreen Green Green Green Blue Blue Blue Blue Black\nGreen Green Green Green Blue Blue Blue Blue Black\n\n\nExample 3\nInput:\nGray Pink Brown Yellow Pink Pink Purple Pink Green\nPink Purple Blue Orange Green Gray Blue Green Blue\nGreen Blue Yellow Yellow Blue Orange Yellow Brown Brown\nPurple Orange Purple Red Brown Green Blue Green Yellow\nYellow Brown Pink Blue Gray Green Gray Blue Blue\nRed Yellow Pink Purple Orange Gray Pink Purple Brown\nOrange Green Purple Blue Blue Brown Green Orange Gray\nOrange Purple Pink Orange Gray Pink Blue Purple Yellow\nGreen Orange Gray Brown Yellow Yellow Red Green Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Green Green Green Green Black\nBlue Blue Blue Blue Green Green Green Green Black\nBlue Blue Blue Blue Green Green Green Green Black\nBlue Blue Blue Blue Green Green Green Green Black\nOrange Orange Orange Orange Blue Blue Blue Blue Black\nOrange Orange Orange Orange Blue Blue Blue Blue Black\nOrange Orange Orange Orange Blue Blue Blue Blue Black\nOrange Orange Orange Orange Blue Blue Blue Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Blue Gray Purple Orange Green Purple Green Pink\nBlue Yellow Gray Gray Red Purple Blue Red Yellow\nRed Purple Purple Brown Orange Brown Yellow Blue Pink\nGreen Green Brown Orange Purple Purple Yellow Blue Green\nBlue Orange Yellow Purple Green Gray Orange Red Pink\nPink Gray Blue Red Pink Brown Red Purple Orange\nPink Pink Pink Purple Brown Yellow Blue Orange Orange\nBlue Pink Gray Pink Gray Pink Brown Brown Orange\nGray Gray Pink Gray Green Pink Brown 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```\nBlack Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Red Red Red Red Black\nPurple Purple Purple Purple Red Red Red Red Black\nPurple Purple Purple Purple Red Red Red Red Black\nPurple Purple Purple Purple Red Red Red Red Black\nPink Pink Pink Pink Brown Brown Brown Brown Black\nPink Pink Pink Pink Brown Brown Brown Brown Black\nPink Pink Pink Pink Brown Brown Brown Brown Black\nPink Pink Pink Pink Brown Brown Brown Brown Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Gray Black Black Black Purple Brown Black Brown Black Brown Black Black Black Black Black Black\nBlack Green Black Black Black Blue Brown Black Black Purple Gray Red Black Black Black Purple Black Black Black Black\nBlack Black Brown Black Black Black Black Orange Black Blue Black Black Black Black Green Black Black Red Black Black\nBlack Brown Black Orange Green Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Brown Yellow Black Black Black Black Green Black Black Green Black Purple Gray Black Yellow Orange Black Black\nBlack Black Black Green Black Black Purple Black Black Black Black Red Black Black Black Yellow Black Black Gray Black\nOrange Gray Black Black Brown Blue Black Orange Black Blue Black Red Black Black Red Black Black Brown Black Red\nBlack Black Black Black Black Black Black Pink 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 Green Black Black Black Black Green Pink\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nRed Blue Blue Black Black Pink Black Black Black Black Black Purple Orange Black Purple Black Black Black Brown Black\nBlack Purple Black Orange Orange Yellow Brown Black Red Purple Black Red Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Blue Orange Blue Black Black Blue Purple Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Blue Black Black Brown Black Black Yellow Black Blue Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Red Pink Black Pink Red Yellow Orange Black Black Black Brown Black Orange Black\nBlack Pink Black Black Black Blue Black Black Black Purple Black Black Black Yellow Black Black Gray Black Black Orange\nBlack Orange Purple Black Black Black Red Black Black Black Black Black Black Black Pink Black Black Black Black Black\nPurple Black Black Pink Black Orange Black Yellow Orange Black Black Black Black Purple Black Black Orange Black Black Black\nYellow Black Blue Orange Black Black Orange Black Black Black Black Black Gray Black Black Black Black Black Pink Black\n\nOutput:\nGreen Green Green Gray Gray Gray Blue Purple Purple Purple Brown Brown Brown Brown Brown Purple Purple Black Black Black\nGreen Green Green Gray Gray Gray Blue Purple Purple Purple Brown Brown Brown Brown Brown Purple Purple Red Red Black\nGreen Green Green Brown Blue Blue Blue Brown Purple Purple Purple Gray Red Green Purple Purple Purple Red Red Blue\nBrown Brown Brown Brown Orange Green Orange Orange Orange Blue Blue Green Green Green Green Green Red Red Red Blue\nBrown Brown Brown Orange Orange Green Pink Pink Pink Pink Green Green Green Purple Purple Gray Yellow Yellow Blue Blue\nOrange Brown Brown Brown Yellow Purple Purple Green Green Green Green Green Green Purple Purple Gray Yellow Yellow Orange Gray\nOrange Orange Green Green Green Purple Purple Purple Orange Blue Red Red Red Red Yellow Yellow Yellow Gray Gray Gray\nOrange Orange Gray Brown Brown Brown Blue Orange Orange Blue Blue Red Red Red Red Red Brown Brown Brown Red\nBlack Black Black Black Black Black Pink Pink Pink Black Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green\nRed Red Blue Blue Pink Pink Pink Black Black Black Yellow Yellow Green Green Green Purple Black Green Green Green\nRed Red Blue Blue Pink Pink Pink Brown Red Red Yellow Yellow Yellow Orange Purple Purple Black Brown Brown Brown\nRed Red Blue Blue Pink Pink Pink Brown Red Red Purple Purple Purple Orange Purple Purple Black Brown Brown Brown\nPurple Purple Purple Orange Orange Orange Yellow Brown Red Red Purple Red Red Yellow Yellow Yellow Blue Orange Orange Orange\nPurple Purple Purple Black Blue Blue Blue Orange Blue Blue Blue Blue Purple Yellow Yellow Yellow Blue Blue Purple Purple\nPurple Purple Purple Black Black Red Red Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Blue Blue Purple Purple\nPink Pink Pink Black Blue Red Red Red Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Brown Orange Orange\nPink Pink Pink Purple Blue Red Red Red Pink Pink Pink Red Yellow Orange Yellow Brown Brown Brown Orange Orange\nPink Pink Pink Purple Blue Blue Blue Red Purple Purple Purple Black Yellow Yellow Yellow Gray Gray Gray Orange Orange\nOrange Orange Orange Purple Pink Red Red Red Yellow Orange Black Gray Purple Pink Pink Pink Orange Orange Pink Pink\nPurple Purple Pink Pink Pink Orange Orange Yellow Yellow Orange Black Gray Purple Purple Purple Orange Orange Orange Pink Pink\n\n\nExample 2\nInput:\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Orange Black Black Green\nBlack Blue Gray Black Black Black Black Black Black Blue Black Red Black Black Black Black Black Red Pink Black\nBlack Black Black Black Black Black Gray Black Purple Black Purple Black Black Black Black Black Black Black Gray Black\nBlack Black Gray Red 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 Red Black Gray Green Black Black Brown Purple Black Gray Black\nGray Black Black Black Gray Black Green Yellow Black Black Black Red Black Purple Black Black Black Black Yellow Black\nPink Brown Black Black Black Black Blue Black Pink Orange Black Blue Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Green Black Black Black Black Black Green Black Brown Yellow Green Black\nPink Green Black Black Black Black Purple Black Black Black Green Orange Blue Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Black Green Green Black Black Black Blue Black Black Black Black Black\nBlack Black Black Orange Black Red Black Black Black Black Red Black Black Black Brown Black Black Black Black Orange\nBlue Black Purple Black Green Black Black Black Black Black Black Black Black Black Black Black Orange Blue Black Blue\nBlack Black Black Yellow Orange Black Black Black Black Black Black Green Black Yellow Green Black Yellow Yellow Black Black\nGreen Black Black Black Black Black Black Black Black Orange Gray Black Black Black Black Gray Black Green Pink Green\nBlack Brown Black Blue Black Black Black Black Black Black Red Black Black Yellow Blue Black Black Black Orange Black\nOrange Pink Blue Black Black Black Yellow Green Blue Black Black Black Black Black Blue Black Black Purple Black Black\nBlack Purple Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Green Pink Green Black\nBlack Black Blue Black Black Black Black Pink Green Black Red Black Black Black Yellow Purple Black Black Brown Black\nBlack Black Black Yellow Black Black Black Pink Gray Black Purple Blue Black Black Black Purple Black Black Black Black\nBlack Yellow Black Pink Black Black Purple Black Brown Brown Black Black Black Black Black Red Black Red Black Orange\n\nOutput:\nOrange Orange Orange Gray Black Black Black Black Blue Blue Blue Red Red Purple Purple Purple Orange Orange Green Green\nOrange Orange Orange Gray Black Gray Gray Gray Blue Blue Blue Red Red Purple Purple Purple Orange Orange Green Green\nBlue Blue Blue Gray Red Gray Gray Gray Blue Blue Blue Red Red Black Black Black Red Red Red Pink\nBlack Gray Gray Gray Red Gray Gray Gray Purple Purple Purple Purple Gray Green Brown Brown Brown Gray Gray Gray\nGray Gray Gray Gray Red Yellow Green Green Red Red Red Gray Gray Green Brown Brown Brown Purple Gray Gray\nGray Gray Brown Gray Gray Gray Green Green Red Red Red Gray Gray Green Brown Brown Brown Purple Gray Gray\nGray Gray Brown Gray Gray Gray Green Green Yellow Pink Red Red Red Purple Purple Green Brown Yellow Yellow Yellow\nPink Pink Brown Black Black Blue Blue Blue Pink Pink Orange Blue Blue Red Red Green Brown Brown Yellow Green\nPink Pink Green Pink Pink Red Red Red Blue Green Green Green Orange Green Green Green Brown Brown Yellow Green\nPink Pink Green Pink Pink Purple Purple Purple Green Green Green Green Orange Blue Blue Blue Black Black Orange Orange\nBlue Pink Pink Pink Pink Pink Red Black Green Green Green Green Black Blue Blue Blue Orange Orange Orange Orange\nBlue Blue Orange Orange Orange Red Red Black Black Red Red Red Green Brown Brown Brown Orange Orange Orange Orange\nBlue Blue Purple Purple Green Green Black Black Orange Orange Green Green Green Yellow Yellow Orange Orange Orange Blue Blue\nGreen Green Yellow Yellow Yellow Orange Black Black Orange Orange Green Green Green Yellow Yellow Green Yellow Yellow Yellow Pink\nGreen Green Brown Blue Blue Yellow Yellow Yellow Orange Orange Orange Gray Yellow Yellow Gray Gray Gray Green Green Pink\nBrown Brown Brown Blue Blue Yellow Yellow Yellow Green Red Red Red Yellow Yellow Yellow Blue Purple Orange Orange Orange\nOrange Orange Pink Blue Black Yellow Yellow Yellow Green Blue Red Red Black Blue Blue Blue Purple Purple Purple Green\nPurple Purple Purple Blue Yellow Black Blue Blue Blue Green Red Red Blue Yellow Yellow Green Green Green Pink Green\nYellow Blue Blue Blue Yellow Purple Pink Pink Pink Green Red Red Blue Yellow Yellow Yellow Purple Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Purple Pink Pink Pink Gray Purple Purple Blue Black Purple Purple Purple Red Red Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Orange Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Green Black Black Black Yellow Brown Purple Black Black Black\nGray Purple Black Green Black Black Blue Blue Black Yellow Black Black Black Purple Brown Orange Black Black Black Black\nBlack Green Green Black Gray Black Black Black Black Black Black Black Brown Purple Black Black Orange Gray Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Green\nBlack Pink Black Black Black Gray Black Green Black Black Black Black Black Red Black Black Brown Gray Black Red\nGray Brown Black Black Black Black Red Purple Black Black Black Green Black Black Black Green Red Black Black Black\nBlack Black Gray Yellow Black Pink Black Black Black Black Yellow Black Black Pink Black Brown Purple Blue Black Black\nBlack Brown Green Black Black Black Black Purple Black Gray Black Pink Black Gray Black Black Black Yellow Black Blue\nGreen Black Blue Orange Black Black Black Black Blue Orange Black Black Blue Purple Black Black Red Black Black Yellow\nGreen Yellow Black Purple Black Black Black Black Black Pink Black Gray Black Black Green Black Black Green Brown Black\nBlack Black Black Black Pink Black Black Red Yellow Black Green Black Brown Black Red Blue Blue Black Gray Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black\nBlack Gray Black Black Black Black Pink Black Pink Black Black Black Black Black Black Black Purple Black Black Black\nPink Black Yellow Black Pink Black Gray Black Black Black Black Black Black Yellow Black Brown Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black Black Black\nGray Yellow Brown Black Gray Black Black Black Yellow Green Yellow Brown Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Gray Black Black Gray Black Black Purple Black Black Black Black Black Black Yellow\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Orange Black Black Black Brown Black Black Black Black Yellow Black Black Gray Pink Blue Black Red Black Black\n\nOutput:\nBlack Green Green Green Orange Orange Orange Black Black Green Green Green Green Green Yellow Yellow Brown Purple Black Black\nGray Green Green Green Orange Orange Orange Blue Blue Green Green Green Green Green Yellow Yellow Brown Purple Black Black\nGray Green Green Green Green Blue Blue Blue Blue Green Green Green Purple Yellow Yellow Yellow Brown Purple Gray Blue\nGray Gray Purple Green Green Blue Blue Blue Blue Yellow Yellow Brown Purple Purple Purple Brown Orange Orange Gray Blue\nGreen Green Green Green Gray Gray Gray Green Green Black Green Brown Brown Brown Purple Orange Orange Orange Gray Blue\nPink Pink Pink Black Gray Gray Gray Green Green Black Green Green Green Red Red Brown Brown Brown Green Green\nPink Pink Pink Gray Gray Gray Gray Green Green Yellow Green Green Red Red Red Brown Brown Brown Gray Red\nGray Gray Brown Gray Yellow Red Red Red Purple Yellow Green Green Green Pink Green Green Green Red Blue Blue\nBrown Gray Gray Gray Yellow Pink Pink Purple Purple Yellow Yellow Yellow Pink Pink Pink Brown Brown Purple Blue Blue\nBrown Brown Brown Green Orange Black Purple Purple Purple Gray Gray Pink Pink Gray Gray Red Yellow Yellow Yellow Blue\nGreen Green Blue Blue Orange Pink Red Blue Blue Blue Orange Blue Blue Blue Purple Red Red Red Yellow Yellow\nGreen Green Yellow Purple Purple Pink Red Red Pink Pink Pink Gray Gray Green Green Green Green Green Green Brown\nBlue Blue Gray Pink Pink Pink Red Red Red Yellow Green Green Brown Brown Red Red Blue Blue Gray Gray\nBlue Blue Gray Yellow Pink Pink Pink Pink Pink Pink Black Red Red Red Yellow Purple Red Red Red Black\nGray Gray Gray Yellow Pink Pink Pink Pink Pink Pink Black Pink Yellow Yellow Yellow Purple Purple Purple Black Black\nPink Pink Yellow Yellow Pink Pink Gray Gray Yellow Yellow Green Pink Yellow Yellow Yellow Brown Brown Green Green Green\nOrange Orange Yellow Brown Gray Gray Gray Yellow Yellow Yellow Green Pink Pink Pink Pink Pink Black Green Green Green\nGray Gray Yellow Brown Gray Gray Gray Yellow Yellow Yellow Green Yellow Brown Purple Brown Brown Black Green Green Green\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Purple Purple Purple Brown Brown Blue Red Yellow Yellow\nOrange Orange Orange Orange Orange Orange Brown Black Black Yellow Yellow Yellow Gray Brown Brown Brown Blue Red Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Orange Pink Gray Blue Orange Black Pink Black Black Blue Black Black Black Black Green Purple Red Black\nGray Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Blue Black Black Black Black Black Black Gray Black Purple Gray Black Black Yellow Black Black Black Black\nBlack Purple Black Black Pink Purple Black Black Black Black Purple Black Green Black Black Pink Blue Red Black Black\nBlack Black Black Black Pink Green Black Black Green Brown Black Green Blue Gray Black Black Black Red Black Black\nRed Black Black Purple Purple Black Black Black Blue Black Black Black Black Black Black Black Black Black Blue Gray\nRed Black Gray Black Purple Black Purple Black Black Pink Gray Gray Orange Yellow Blue Black Black Black Black Black\nPink Black Black Black Black Black Pink Gray Black Black Blue Black Black Black Black Brown Black Pink Black Black\nBlack Red Gray Black Black Black Black Black Orange Black Black Green Black Black Black Black Black Black Black Yellow\nOrange Black Black Black Black Red Black Black Black Black Black Black Red Black Gray Black Purple Black Black Yellow\nBlack Orange Black Yellow Black Purple Pink Black Black Black Black Black Black Black Black Black Gray Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Gray Black Black Black Black Black Black Pink\nRed Black Orange Black Black Black Black Blue Black Black Black Black Black Black Gray Black Black Green Black Black\nBlack Black Red Blue Black Black Red Black Black Black Black Black Black Black Black Pink Orange Yellow Black Black\nBlack Black Black Black Black Purple Black Purple Black Black Black Purple Black Yellow Black Black Black Black Black Black\nBlack Black Green Black Black Black Pink Black Gray Green Black Black Red Black Black Black Black Black Black Gray\nBlue Purple Pink Black Black Black Pink Red Black Black Black Black Black Black Black Black Gray Yellow Black Orange\nBlack Brown Black Black Black Red Black Black Black Black Orange Black Black Black Black Blue Black Black Yellow Black\nBlue Black Black Brown Black Black Black Black Purple Black Black Green Black Green Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Purple Black Orange Black Black Gray Gray Black Black Black Black Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Orange Orange Orange Pink Gray Blue Orange Pink Pink Blue Blue Blue Black Black Green Green Green Purple Red\nGray Orange Orange Orange Pink Gray Blue Orange Pink Pink Blue Blue Blue Gray Yellow Green Green Green Purple Red\nGray Gray Purple Purple Purple Purple Purple Black Gray Gray Gray Purple Purple Gray Yellow Blue Blue Blue Red Black\nPurple Blue Blue Blue Pink Pink Purple Green Gray Gray Gray Purple Purple Gray Yellow Yellow Yellow Blue Red Black\nPurple Purple Purple Pink Pink Pink Purple Green Green Purple Purple Purple Green Green Pink Pink Pink Blue Red Blue\nRed Red Purple Pink Pink Pink Green Green Green Green Brown Green Green Blue Gray Blue Red Red Red Blue\nRed Red Purple Purple Purple Purple Purple Blue Blue Blue Pink Gray Gray Orange Yellow Blue Brown Blue Blue Blue\nRed Red Gray Gray Purple Purple Purple Purple Pink Pink Pink Gray Gray Orange Yellow Blue Brown Pink Pink Yellow\nPink Pink Red Gray Red Pink Pink Pink Gray Blue Blue Blue Green Red Brown Brown Brown Pink Pink Yellow\nRed Red Red Gray Red Red Red Orange Orange Orange Green Green Green Red Gray Gray Purple Purple Yellow Yellow\nOrange Orange Orange Yellow Red Red Red Pink Blue Blue Black Red Red Red Gray Gray Purple Purple Yellow Yellow\nOrange Orange Orange Yellow Yellow Purple Purple Pink Blue Blue Black Gray Gray Gray Gray Gray Gray Gray Blue Pink\nRed Red Orange Orange Blue Red Blue Blue Blue Blue Black Gray Gray Gray Gray Gray Green Green Pink Pink\nRed Red Orange Orange Blue Red Blue Blue Blue Black Purple Purple Purple Gray Gray Gray Green Green Green Black\nBlack Red Red Red Blue Red Red Red Purple Gray Purple Purple Purple Yellow Pink Pink Pink Orange Yellow Gray\nBlue Green Green Green Purple Purple Purple Purple Purple Gray Purple Purple Purple Yellow Yellow Gray Gray Gray Gray Gray\nBlue Green Green Green Red Pink Pink Pink Gray Gray Green Red Red Red Blue Gray Gray Gray Gray Gray\nBlue Blue Purple Pink Red Pink Pink Pink Red Orange Orange Orange Green Green Blue Gray Gray Gray Yellow Orange\nBrown Brown Brown Brown Red Red Red Purple Purple Orange Orange Orange Green Green Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Brown Brown Brown Black Purple Purple Purple Purple Green Green Green Green Green Black Black Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown 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 Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 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 Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow 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 Yellow Black Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black\nBlack 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black 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\n\nOutput:\nBlack Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Green 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\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 Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\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\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray\nPurple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown\nGray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray\n\nOutput:\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBlack Black Black Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBlack Black Black Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBlack Black Black Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Purple Purple Purple\nBlack Black Black Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Purple Purple Purple\nBlack Black Black Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple Purple Purple Purple\nBlack Black Black Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBlack Black Black Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBlack Black Black Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink\nPink Pink Pink Orange Orange Orange Purple Purple Purple Gray Gray Gray\nPink Pink Pink Orange Orange Orange Purple Purple Purple Gray Gray Gray\nPink Pink Pink Orange Orange Orange Purple Purple Purple Gray Gray Gray\nGray Gray Gray Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Pink Pink Pink Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Orange Orange Orange\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Orange Orange Orange\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink\n\nOutput:\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlack Black Black Pink Pink Pink Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nBlack Black Black Pink Pink Pink Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nBlack Black Black Pink Pink Pink Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nBlack Black Black Gray Gray Gray Pink Pink Pink Orange Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Black Gray Gray Gray Pink Pink Pink Orange Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Black Gray Gray Gray Pink Pink Pink Orange Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Black Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBlack Black Black Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBlack Black Black Purple Purple Purple Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBlack Black Black Orange Orange Orange Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nBlack Black Black Orange Orange Orange Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nBlack Black Black Orange Orange Orange Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink\n\nOutput:\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nBlue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nBlue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Black Black Black Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Black Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nGray Gray Gray Black Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nGray Gray Gray Black Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray\nBlack Black Black Orange Orange Orange Gray Gray Gray Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Gray Gray Gray Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Gray Gray Gray Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow\nGray Gray Gray Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Black Black Gray Gray Gray Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Black Black Gray Gray Gray Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Black Black Gray Gray Gray Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nOrange Orange Orange Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nOrange Orange Orange Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow\nOrange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\n\nOutput:\nBlack Black Black Gray Gray Gray Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow\nOrange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray\nOrange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray\nOrange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Orange Orange Orange Black Black Black Gray Gray Gray Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Gray Gray Gray Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Gray Gray Gray Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange 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 Black Black Black Orange Orange Orange Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Red Black Black Black Black Black\nRed Blue Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Blue Blue Blue Blue Blue Black Red Black Black\nBlack Blue Red Red Red Blue Black Black Red Blue\nBlue Blue Red Red Red Blue Black Black Black Black\nGreen Blue Red Red Red Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Black Black Black Black Black\nRed Blue Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Blue Blue Blue Blue Blue Black Red Black Black\nBlack Blue Yellow Yellow Yellow Blue Black Black Red Blue\nBlue Blue Yellow Yellow Yellow Blue Black Black Black Black\nGreen Blue Yellow Yellow Yellow Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Red Red Red Blue Red Red Red Blue Blue\nBlue Red Red Red Blue Red Red Red Blue Black\nBlue Red Red Red Blue Red Red Red Blue Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Red Red Red Blue Black Black Black Green Black\nBlue Red Red Red Blue Black Black Green Black Black\nBlue Red Red Red Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Yellow Red Black\nBlack Black Black Black Black Blue Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Blue\nBlue Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Black\nBlue Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Yellow Yellow Yellow Blue Black Black Black Green Black\nBlue Yellow Yellow Yellow Blue Black Black Green Black Black\nBlue Yellow Yellow Yellow Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Yellow Red Black\nBlack Black Black Black Black Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Red Black Black Black Black Blue Black Black Black\nBlack Yellow Black Blue Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Red Red Red Blue Blue\nBlack Green Black Black Blue Red Red Red Blue Blue\nBlack Yellow Black Black Blue Red Red Red Blue Blue\nGreen Black Yellow Black Blue Blue Blue Blue Blue Black\nBlack Black Black Yellow Blue Black Black Black Yellow Black\nBlack Black Black Black Black Blue Blue Black Black Black\n\nOutput:\nBlack Red Black Black Black Black Blue Black Black Black\nBlack Yellow Black Blue Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Yellow Yellow Yellow Blue Blue\nBlack Green Black Black Blue Yellow Yellow Yellow Blue Blue\nBlack Yellow Black Black Blue Yellow Yellow Yellow Blue Blue\nGreen Black Yellow Black Blue Blue Blue Blue Blue Black\nBlack Black Black Yellow Blue Black Black Black Yellow Black\nBlack Black Black Black Black Blue Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Blue Blue Blue Blue Black Black Green\nRed Blue Red Red Red Blue Blue Black Black Black\nBlack Blue Red Red Red Blue Blue Black Black Black\nBlack Blue Red Red Red Blue Blue Green Black Black\nGreen Blue Blue Blue Blue Blue Blue Black Black Blue\nBlack Green Blue Red Red Red Blue Black Black Black\nBlack Black Blue Red Red Red Blue Black Black Yellow\nBlack Blue Blue Red Red Red Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Blue Blue Blue Blue Blue Black Black Green\nRed Blue Yellow Yellow Yellow Blue Blue Black Black Black\nBlack Blue Yellow Yellow Yellow Blue Blue Black Black Black\nBlack Blue Yellow Yellow Yellow Blue Blue Green Black Black\nGreen Blue Blue Blue Blue Blue Blue Black Black Blue\nBlack Green Blue Yellow Yellow Yellow Blue Black Black Black\nBlack Black Blue Yellow Yellow Yellow Blue Black Black Yellow\nBlack Blue Blue Yellow Yellow Yellow Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Red 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:\nGray Gray Brown Brown Orange Orange Blue Blue Brown Brown Purple Purple Purple Purple Green Green Pink Pink Purple Purple\nGray Gray Brown Brown Orange Orange Blue Blue Brown Brown Purple Purple Purple Purple Green Green Pink Pink Purple Purple\nPurple Purple Orange Orange Purple Purple Orange Orange Gray Gray Orange Orange Blue Blue Blue Blue Gray Gray Purple Purple\nPurple Purple Orange Orange Purple Purple Orange Orange Gray Gray Orange Orange Blue Blue Blue Blue Gray Gray Purple Purple\nBrown Brown Orange Orange Gray Gray Green Green Yellow Yellow Green Green Brown Brown Pink Pink Red Red Red Red\nBrown Brown Orange Orange Gray Gray Green Green Yellow Yellow Green Green Brown Brown Pink Pink Red Red Red Red\nPink Pink Green Green Pink Pink Orange Orange Purple Purple Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Brown Brown\nPink Pink Green Green Pink Pink Orange Orange Purple Purple Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Green Green Blue Blue Orange Orange Green Green Yellow Yellow Purple Purple Gray Gray Blue Blue Red Red\nYellow Yellow Green Green Blue Blue Orange Orange Green Green Yellow Yellow Purple Purple Gray Gray Blue Blue Red Red\nPink Pink Brown Brown Orange Orange Red Red Green Green Orange Orange Pink Pink Yellow Yellow Purple Purple Brown Brown\nPink Pink Brown Brown Orange Orange Red Red Green Green Orange Orange Pink Pink Yellow Yellow Purple Purple Brown Brown\nOrange Orange Orange Orange Gray Gray Purple Purple Green Green Brown Brown Pink Pink Yellow Yellow Brown Brown Red Red\nOrange Orange Orange Orange Gray Gray Purple Purple Green Green Brown Brown Pink Pink Yellow Yellow Brown Brown Red Red\nPurple Purple Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Orange Orange\nPurple Purple Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Orange Orange\n\nOutput:\nGray Gray Brown Brown Orange Orange Yellow Yellow Brown Brown Purple Purple Purple Purple Blue Blue Pink Pink Purple Purple\nGray Gray Brown Brown Orange Orange Yellow Yellow Brown Brown Purple Purple Purple Purple Blue Blue Pink Pink Purple Purple\nPurple Purple Orange Orange Purple Purple Orange Orange Gray Gray Orange Orange Red Red Yellow Yellow Gray Gray Purple Purple\nPurple Purple Orange Orange Purple Purple Orange Orange Gray Gray Orange Orange Red Red Yellow Yellow Gray Gray Purple Purple\nBrown Brown Orange Orange Gray Gray Blue Blue Green Green Blue Blue Brown Brown Pink Pink Blue Blue Green Green\nBrown Brown Orange Orange Gray Gray Blue Blue Green Green Blue Blue Brown Brown Pink Pink Blue Blue Green Green\nPink Pink Blue Blue Pink Pink Orange Orange Purple Purple Red Red Gray Gray Red Red Green Green Brown Brown\nPink Pink Blue Blue Pink Pink Orange Orange Purple Purple Red Red Gray Gray Red Red Green Green Brown Brown\nGreen Green Blue Blue Red Red Orange Orange Yellow Yellow Red Red Purple Purple Gray Gray Red Red Green Green\nGreen Green Blue Blue Red Red Orange Orange Yellow Yellow Red Red Purple Purple Gray Gray Red Red Green Green\nPink Pink Brown Brown Orange Orange Green Green Yellow Yellow Orange Orange Pink Pink Red Red Purple Purple Brown Brown\nPink Pink Brown Brown Orange Orange Green Green Yellow Yellow Orange Orange Pink Pink Red Red Purple Purple Brown Brown\nOrange Orange Orange Orange Gray Gray Purple Purple Yellow Yellow Brown Brown Pink Pink Red Red Brown Brown Green Green\nOrange Orange Orange Orange Gray Gray Purple Purple Yellow Yellow Brown Brown Pink Pink Red Red Brown Brown Green Green\nPurple Purple Pink Pink Orange Orange Red Red Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Orange Orange\nPurple Purple Pink Pink Orange Orange Red Red Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Brown Brown Yellow Yellow Red Red Purple Purple Orange Orange Yellow Yellow\nOrange Orange Brown Brown Yellow Yellow Red Red Purple Purple Orange Orange Yellow Yellow\nRed Red Purple Purple Yellow Yellow Green Green Yellow Yellow Gray Gray Red Red\nRed Red Purple Purple Yellow Yellow Green Green Yellow Yellow Gray Gray Red Red\nGray Gray Purple Purple Green Green Blue Blue Gray Gray Gray Gray Purple Purple\nGray Gray Purple Purple Green Green Blue Blue Gray Gray Gray Gray Purple Purple\nBlue Blue Brown Brown Green Green Orange Orange Pink Pink Brown Brown Purple Purple\nBlue Blue Brown Brown Green Green Orange Orange Pink Pink Brown Brown Purple Purple\nPink Pink Brown Brown Pink Pink Pink Pink Gray Gray Yellow Yellow Purple Purple\nPink Pink Brown Brown Pink Pink Pink Pink Gray Gray Yellow Yellow Purple Purple\nGreen Green Gray Gray Brown Brown Purple Purple Purple Purple Orange Orange Brown Brown\nGreen Green Gray Gray Brown Brown Purple Purple Purple Purple Orange Orange Brown Brown\nRed Red Brown Brown Orange Orange Purple Purple Red Red Pink Pink Brown Brown\nRed Red Brown Brown Orange Orange Purple Purple Red Red Pink Pink Brown Brown\nBlue Blue Purple Purple Blue Blue Blue Blue Purple Purple Red Red Orange Orange\nBlue Blue Purple Purple Blue Blue Blue Blue Purple Purple Red Red Orange Orange\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Blue Blue Orange Orange Orange Orange\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Blue Blue Orange Orange Orange Orange\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\n\nOutput:\nOrange Orange Brown Brown Green Green Green Green Purple Purple Orange Orange Green Green\nOrange Orange Brown Brown Green Green Green Green Purple Purple Orange Orange Green Green\nBlue Blue Purple Purple Green Green Blue Blue Green Green Gray Gray Blue Blue\nBlue Blue Purple Purple Green Green Blue Blue Green Green Gray Gray Blue Blue\nGray Gray Purple Purple Yellow Yellow Yellow Yellow Gray Gray Gray Gray Purple Purple\nGray Gray Purple Purple Yellow Yellow Yellow Yellow Gray Gray Gray Gray Purple Purple\nRed Red Brown Brown Yellow Yellow Orange Orange Pink Pink Brown Brown Purple Purple\nRed Red Brown Brown Yellow Yellow Orange Orange Pink Pink Brown Brown Purple Purple\nPink Pink Brown Brown Pink Pink Pink Pink Gray Gray Red Red Purple Purple\nPink Pink Brown Brown Pink Pink Pink Pink Gray Gray Red Red Purple Purple\nYellow Yellow Gray Gray Brown Brown Purple Purple Purple Purple Orange Orange Brown Brown\nYellow Yellow Gray Gray Brown Brown Purple Purple Purple Purple Orange Orange Brown Brown\nBlue Blue Brown Brown Orange Orange Purple Purple Blue Blue Pink Pink Brown Brown\nBlue Blue Brown Brown Orange Orange Purple Purple Blue Blue Pink Pink Brown Brown\nRed Red Purple Purple Red Red Yellow Yellow Purple Purple Green Green Orange Orange\nRed Red Purple Purple Red Red Yellow Yellow Purple Purple Green Green Orange Orange\nGreen Green Yellow Yellow Orange Orange Red Red Red Red Orange Orange Orange Orange\nGreen Green Yellow Yellow Orange Orange Red Red Red Red Orange Orange Orange Orange\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nPink Pink Purple Purple Pink Pink Pink Pink Purple Purple Yellow Yellow Blue Blue\nPink Pink Purple Purple Pink Pink Pink Pink Purple Purple Yellow Yellow Blue Blue\nPurple Purple Green Green Yellow Yellow Brown Brown Orange Orange Blue Blue Purple Purple\nPurple Purple Green Green Yellow Yellow Brown Brown Orange Orange Blue Blue Purple Purple\nOrange Orange Orange Orange Red Red Yellow Yellow Purple Purple Green Green Pink Pink\nOrange Orange Orange Orange Red Red Yellow Yellow Purple Purple Green Green Pink Pink\nBlue Blue Yellow Yellow Gray Gray Brown Brown Blue Blue Yellow Yellow Brown Brown\nBlue Blue Yellow Yellow Gray Gray Brown Brown Blue Blue Yellow Yellow Brown Brown\nGreen Green Purple Purple Orange Orange Purple Purple Blue Blue Green Green Brown Brown\nGreen Green Purple Purple Orange Orange Purple Purple Blue Blue Green Green Brown Brown\nRed Red Blue Blue Green Green Pink Pink Gray Gray Blue Blue Yellow Yellow\nRed Red Blue Blue Green Green Pink Pink Gray Gray Blue Blue Yellow Yellow\nYellow Yellow Pink Pink Brown Brown Gray Gray Green Green Green Green Orange Orange\nYellow Yellow Pink Pink Brown Brown Gray Gray Green Green Green Green Orange Orange\nYellow Yellow Gray Gray Blue Blue Orange Orange Gray Gray Brown Brown Blue Blue\nYellow Yellow Gray Gray Blue Blue Orange Orange Gray Gray Brown Brown Blue Blue\nBrown Brown Orange Orange Blue Blue Purple Purple Blue Blue Red Red Yellow Yellow\nBrown Brown Orange Orange Blue Blue Purple Purple Blue Blue Red Red Yellow Yellow\n\nOutput:\nPink Pink Purple Purple Pink Pink Pink Pink Purple Purple Red Red Red Red\nPink Pink Purple Purple Pink Pink Pink Pink Purple Purple Red Red Red Red\nPurple Purple Blue Blue Green Green Brown Brown Orange Orange Yellow Yellow Purple Purple\nPurple Purple Blue Blue Green Green Brown Brown Orange Orange Yellow Yellow Purple Purple\nOrange Orange Orange Orange Blue Blue Red Red Purple Purple Blue Blue Pink Pink\nOrange Orange Orange Orange Blue Blue Red Red Purple Purple Blue Blue Pink Pink\nRed Red Red Red Gray Gray Brown Brown Red Red Red Red Brown Brown\nRed Red Red Red Gray Gray Brown Brown Red Red Red Red Brown Brown\nYellow Yellow Purple Purple Orange Orange Purple Purple Red Red Blue Blue Brown Brown\nYellow Yellow Purple Purple Orange Orange Purple Purple Red Red Blue Blue Brown Brown\nBlue Blue Yellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Green Green\nBlue Blue Yellow Yellow Yellow Yellow Pink Pink Gray Gray Yellow Yellow Green Green\nGreen Green Pink Pink Brown Brown Gray Gray Yellow Yellow Blue Blue Orange Orange\nGreen Green Pink Pink Brown Brown Gray Gray Yellow Yellow Blue Blue Orange Orange\nGreen Green Gray Gray Red Red Orange Orange Gray Gray Brown Brown Red Red\nGreen Green Gray Gray Red Red Orange Orange Gray Gray Brown Brown Red Red\nBrown Brown Orange Orange Red Red Purple Purple Red Red Green Green Green Green\nBrown Brown Orange Orange Red Red Purple Purple Red Red Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Gray Gray Orange Orange Green Green Purple Purple Yellow Yellow Blue Blue Yellow Yellow\nPink Pink Pink Pink Gray Gray Orange Orange Green Green Purple Purple Yellow Yellow Blue Blue Yellow Yellow\nBlue Blue Pink Pink Pink Pink Blue Blue Green Green Red Red Blue Blue Orange Orange Red Red\nBlue Blue Pink Pink Pink Pink Blue Blue Green Green Red Red Blue Blue Orange Orange Red Red\nBrown Brown Orange Orange Orange Orange Orange Orange Pink Pink Green Green Pink Pink Yellow Yellow Pink Pink\nBrown Brown Orange Orange Orange Orange Orange Orange Pink Pink Green Green Pink Pink Yellow Yellow Pink Pink\nGray Gray Brown Brown Orange Orange Purple Purple Red Red Blue Blue Blue Blue Red Red Green Green\nGray Gray Brown Brown Orange Orange Purple Purple Red Red Blue Blue Blue Blue Red Red Green Green\nBrown Brown Brown Brown Blue Blue Red Red Orange Orange Yellow Yellow Yellow Yellow Blue Blue Purple Purple\nBrown Brown Brown Brown Blue Blue Red Red Orange Orange Yellow Yellow Yellow Yellow Blue Blue Purple Purple\nPink Pink Pink Pink Yellow Yellow Brown Brown Gray Gray Purple Purple Brown Brown Purple Purple Green Green\nPink Pink Pink Pink Yellow Yellow Brown Brown Gray Gray Purple Purple Brown Brown Purple Purple Green Green\nGreen Green Gray Gray Brown Brown Pink Pink Green Green Purple Purple Orange Orange Red Red Orange Orange\nGreen Green Gray Gray Brown Brown Pink Pink Green Green Purple Purple Orange Orange Red Red Orange Orange\nGray Gray Pink Pink Purple Purple Red Red Purple Purple Orange Orange Brown Brown Gray Gray Purple Purple\nGray Gray Pink Pink Purple Purple Red Red Purple Purple Orange Orange Brown Brown Gray Gray Purple Purple\nPink Pink Gray Gray Pink Pink Blue Blue Yellow Yellow Brown Brown Purple Purple Gray Gray Gray Gray\nPink Pink Gray Gray Pink Pink Blue Blue Yellow Yellow Brown Brown Purple Purple Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Gray Gray Orange Orange Yellow Yellow Purple Purple Green Green Yellow Yellow Green Green\nPink Pink Pink Pink Gray Gray Orange Orange Yellow Yellow Purple Purple Green Green Yellow Yellow Green Green\nRed Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Green Green Red Red Orange Orange Blue Blue\nRed Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Green Green Red Red Orange Orange Blue Blue\nBrown Brown Orange Orange Orange Orange Orange Orange Pink Pink Blue Blue Pink Pink Red Red Pink Pink\nBrown Brown Orange Orange Orange Orange Orange Orange Pink Pink Blue Blue Pink Pink Red Red Pink Pink\nGray Gray Brown Brown Orange Orange Purple Purple Blue Blue Yellow Yellow Red Red Green Green Yellow Yellow\nGray Gray Brown Brown Orange Orange Purple Purple Blue Blue Yellow Yellow Red Red Green Green Yellow Yellow\nBrown Brown Brown Brown Red Red Green Green Orange Orange Red Red Green Green Yellow Yellow Purple Purple\nBrown Brown Brown Brown Red Red Green Green Orange Orange Red Red Green Green Yellow Yellow Purple Purple\nPink Pink Pink Pink Green Green Brown Brown Gray Gray Purple Purple Brown Brown Purple Purple Yellow Yellow\nPink Pink Pink Pink Green Green Brown Brown Gray Gray Purple Purple Brown Brown Purple Purple Yellow Yellow\nYellow Yellow Gray Gray Brown Brown Pink Pink Yellow Yellow Purple Purple Orange Orange Green Green Orange Orange\nYellow Yellow Gray Gray Brown Brown Pink Pink Yellow Yellow Purple Purple Orange Orange Green Green Orange Orange\nGray Gray Pink Pink Purple Purple Green Green Purple Purple Orange Orange Brown Brown Gray Gray Purple Purple\nGray Gray Pink Pink Purple Purple Green Green Purple Purple Orange Orange Brown Brown Gray Gray Purple Purple\nPink Pink Gray Gray Pink Pink Yellow Yellow Green Green Brown Brown Purple Purple Gray Gray Gray Gray\nPink Pink Gray Gray Pink Pink Yellow Yellow Green Green Brown Brown Purple Purple 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 Blue Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Blue Black Black Orange Orange\nBlack Black Black Black Black Black Black Red Red Red Black Black Blue Black Black Black Orange\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Orange\nBlue Blue Blue Black Black Black Pink Black Black Black Black Black Black Blue Black Black Black\nBlue Blue Blue Black Black Black Pink Black Black Black Black Black Black Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Pink Pink Pink Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Blue Blue Black\nBlack 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 Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Blue Black Black Orange Orange\nBlack Black Black Black Black Black Black Red Red Red Black Black Blue Black Black Black Orange\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Orange\nBlue Blue Blue Black Black Black Yellow Black Black Black Black Black Black Blue Black Black Black\nBlue Blue Blue Black Black Black Yellow Black Black Black Black Black Black Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Pink Pink Pink Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Blue Blue Black\nBlack 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 Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Pink Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Pink Black Black Black Black Black Black Blue Blue Blue Orange Black Black\nBlack Black Pink Pink Pink Black Black Pink Pink Black Black Black Orange Black Pink\nBlack Black Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Pink\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Pink Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Pink Black Black Black Black Black Black Blue Blue Blue Orange Black Black\nBlack Black Pink Pink Pink Black Black Pink Pink Black Black Black Orange Black Pink\nBlack Black Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Pink\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\nBlue Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Orange Pink Black Black Green Pink Black\nBlack Black Black Black Black Black Black Black Black Orange Pink Black Black Green Pink Black\nBlack Black Black Black Black Black Black Pink Pink Orange Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack 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\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\nBlue Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Orange Pink Black Black Green Pink Black\nBlack Black Black Black Black Black Black Black Black Orange Pink Black Black Green Pink Black\nBlack Black Black Black Black Black Black Pink Pink Orange Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Yellow Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Blue Blue Blue Black\nBlack Black Black Blue Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nYellow Black Black Black Black\nYellow Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Blue Blue 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\n\nOutput:\nBlack Black Black Black Black Black\nYellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black\nYellow Yellow 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 Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Blue Blue Blue 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\nYellow Yellow Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Black Black Black\nBlack Black Black Blue Black 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 Yellow Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black\nBlack 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\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Green Green Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Green Green Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Green Green Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Green Green Black Black Black Black Pink Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Red Red Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Blue Blue Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nYellow Black Yellow Yellow Black Black Red Red Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Blue Blue Black Black Black\nYellow Black Yellow Yellow Black Black Black Blue Blue 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 Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Purple Purple Purple Purple Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Purple Black Purple Purple Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\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\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue 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 Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
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